A STUDY OF GaAs, . InP, GROWN BY ORGANOMETALLIC Fred Institute, 1977 Center, 1984 submitted to the faculty Center in partial fulfillment requirements for the degree Doctor EPITAXY R. Bacher B.S. Worcester Polytechnic M.E.S. Oregon Graduate A dissertation Graduate and InGaAs VAPOR PHASE of Philosophy in Applied June, Physics 1987 of the Oregon of the The dissertation "A Study of GaAs, InP, and InGaAs grown by organometallic vapor phase epitaxy" by Fred R. Bacher has been examined and approved by the following Examination Committee: J.-S~- Bla~~more: Professor Thesis Advisor and Wallace B. Leigh, Assiitant Professor Nicholas G. Efor, Professor Jack S. Sachitano, Adjunct Assistant Professor (Tektronix, Inc.) ii ACKNOWLEDGEMENTS The author contributions and Wallace throughout. crystal Leigh, whose Especially advice persons Foremost and assistance for their are John Blakemore were invaluable Dr. Leigh, who taught me so much about growth. relied I am especially Anderton to the following to this dissertation. This work Inc. is indebted and Jack George contributed Howard heavily grateful support for the ongoing from Tektronix, commitment of Harry Sachitano. ably performed numerous useful source many of the crystal growths, and Corinne, who suggestions. A final note of gratitude was a constant on financial is sounded of guidance Hi to my wife, and wisdom. TABLE OF CONTENTS ABSTRACT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii CHAPTER I: CHAPTER II: CHAPTER III: INTRODUCTION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 CRYSTAL GROWTHMETHOD 5 CHARACTERIZATIONTECHNIQUES A. Photoluminescence(PL) .18 B. Hall Mobility .26 C. Auger Electron D. Secondary Ion Spectroscopy (AES) Mass Spectrometry 32 (SIMS) 35 E. Optical Absorption CHAPTER IV: 37 SUBSTRATE AND UNOOPEDEPILAYER CHARACTERIZATIONRESULTS A. GaAs and InP Substrates 49 B. GaAs and InP Undoped Epilayers 55 CHAPTER V: CHAPTERVI: CHAPTERVII: InP: Mg EPILAYERS In 1 -x 69 Ga As 76 x CONCLUSION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .103 REFERENCES. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .105 APPENDIX A: OHMIC CONTACT PREPARATION 115 APPENDIX B: EPILAYER THICKNESS MEASUREMENT 117 APPENDIX C: 77 K PL Linewidth Raw Data from the versus Net Literature APPENDIX D: RAWSIMS DATA FOR InGaAs/InP APPENDIX E: List APPENDIX F: COMPUTERPROGRAMS of Chemicals Carrier (Table Concentration: XIII) LAYERS and Equipment (Table 119 120 XIV) 125 128 VITA .. iv .141 LIST OF FIGURES FIG. 1. InGaAsP Bandgap at 300 K FIG. 2. OMVPE Reactor General Layout. FIG. 3. OMVPE Reactor FIG. 4. OMVPE Reactor Cabinet. FIG. 5. OMVPE Tube. FIG. 6. Schematic FIG. 7. Light FIG. 8. Reactor of Output 3 Gas Schematic. . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 PhotoluminescenceApparatus 19 for Various MonochromatorSlit Widths 2l Optical Detector and Filter Spectral Response 22 FIG. 9. PL FWHM for Various Doping Concentrations 24 FIG. 10. PL for OMVPE InGaAs 25 FIG. 11. Schematicof Hall MobilityMeasurementApparatus 27 FIG. 12. 30 Electromagnet Power Supply Calibration FIG. 13. PL Spectrum for InO.53GaO.47As"Standard" 33 FIG. 14. AES Profile for InO.53GaO.47As"Standard" 34 FIG. 15. Methods of Mounting Epilayersfor SubstrateEtching 38 FIG. 16. Optical AbsorptionApparatus 40 FIG. 17. InO.53GaO.47AsRefractiveIndex 42 FIG. 18. Schematicfor Epoxy RefractiveIndex Measurement 43 FIG. 19. Raw TransmissionData for Optical Absorption 47 FIG. 20. PL for GaAs FIG. 21. Substrates. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51 PL for N-type InP Substrates............................53 FIG. 22. PL for P-type InP Substrates............................54 FIG. 23. OMVPE GaAs Growth Rate 6l v FIG. 24. Hall Mobility for GaAs at CryogenicTemperatures 62 FIG. 25. Hall Mobility for OMVPE InP 65 FIG. 26. PL for OMVPE GaAs 66 FIG. 27. PL for Undoped OMVPE InP 68 FIG. 28. PL for OMVPE InP:Mg 72 FIG. 29. FIG. 30. PL for FIG. 31. Variation Net Acceptor Concentration in InP:Mg versus [CPZMg]/ [TMln] Rat io. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 InGaAs 10 at 77 K of InGaAs 78 Defect PL with Excitation Light Inten.sity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .80 Variation of In -x Ga xAs PL with 1 FIG. 32. FIG. 33. FIG. 34. FIG. 35. AES Profile FIG. 36. Absorption FIG. 37. Bandgap PL for InO.53GaO.47As at PL for InO.53GaO.47As at Ra t io. for InGaAs 85 77 K 87 300 K 88 65 Coefficient Estimates x 90 for In1_xGaxAs at 10 K 91 for OMVPE InGaAs versus [TMIn]/[TMGa] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 FIG. 38. Near-bandgap Absorption Coefficient for InO.53GaO.47As..95 FIG. 39. AbsorptionCoefficientfor InO.53GaO.47As at 300 K......96 FIG. 40. FIG. 41. FIG. 42. FIG. 43. FIG. 44. FIG. 45. FIG. 46. FIG. 47. FIG. 48. Absorption Ga As at 300 K....98 Coefficientfor OMVPE In1_x x Absorption Coefficient Hall Mobility for InO.53GaO.47As at 77 K.......99 for OMVPE InO.53GaO.47As.................101 InO.53GaO.47As...............121 Cs Beam SIMS Data for MBE o Beam SIMS Data for MBE InO.53GaO.47As................122 Cs Beam SIMS Data for OMVPE InO.53GaO.47As.............123 InO.53GaO.47As..............124 Flowchartfor Hall Mobility MeasurementProgram........129 o Beam SIMS Data for OMVPE Flowchart for Absorption Coefficient Calculation Program ...136 vi LIST OF TABLES TABLE I. Comparison of Atmospheric Pressure OMVPE Growth 8 Conditionsfor InP Using TMIn TABLE II. Comparison of Atmospheric Pressure OMVPE Growth Conditionsfor InGaAs Using TMIn and TMGa TABLE III. Comparison of OGC Hall Mobility 9 Results with Other Labs TABLE IV. TABLE V. TABLE 8...31 Proportional Error Estimates for Optical Absorption 44 Substratesand OMVPE Growth Numbering VI. Hall Mobility and Resistivity for OMVPE 50 InP with Various Total Gas Flow Rates 56 TABLE VII. Hall Mobility for OMVPE GaAs TABLE VIII. Undoped Result s. OMVPE InP Electrical 57 Characterization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 TABLE IX. Growth Conditionsand PL FWHM for OMVPE InP:Mg 71 TABLE X. SIMS Results for MBE and OMVPE InO.53GaO.47As 82 TABLE XI. TABLE XII. PL Peak energies Hall Mobility for OMVPE and Carrier In l-xGaxAs Concentration 84 for In Ga As/lnP l-x x . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . TABLE XIII. 77 K PL FWHM versus Net Carrier 100 Concentration: Raw Data From the Literature 119 TABLE XIV. List of Chemicalsand Equipment 125 TABLE XV. 130 TABLE XVI. Hall Mobility Measurement and Calculation Program Optical Absorption Coefficient Calculation program...137 vii ABSTRACT Presented a study based used of the semiconductors organometallic reactor. parameters were obtained pressure optical with doped system (PL) peak full width InP is reported devices of magnesium here. cussed. junctions mechanisms because growth beyond of InGaAs An empirical of the parasitic zone. scribed. epitaxy and including the GaAs and InP epilayers of 6480 and 4820 at half maximum require cm2/Vs, values and of 12 at 77 K suggest A study of Mgalternative depletes grown Mg incoracceptor. is dis- in the present trimethylindium lattice-matched For these, Hall mobilities of 9000 viii several compositions the extent to PL peaks substitutional of various documents epilayers InP and InGaAs, of its low diffusivity. epilayers which p-type an attractive the simple Mg1n study reaction InGaAs lasers here, as a dopant. Mg offers seen at 1.0 and 1.3 eV from InP:Mg The growth phase were at 77 K. use has been made poration vapor is described 150+ epilayers. some optoelectronic zinc for abrupt The methyl- particularly 300 K Hall mobilities and 10 meV respectively little of and trimethylgallium organometallic applications, for growing photoluminescence While trimethylindium The OGC OMVPE used InP, and InGaAs. results Evaluation of this growth technique was conducted an eye toward photodetectors. and characterization GaAs, sources in an atmospheric (OMVPE) with here are the growth prior system to the to InP are de- and 26,500 cm2/Vs at 300 K and 77 K respectively The optical energy range were achieved. absorption for In coefficient was mP~red 1-xGa xAs with compositions :h>etweenx = 0.45 and x = 0.51, at 10, 77, and 300 K. The absorption abruptly the bandgap~ to 30,000 scarcity to 6000 cm-l just cm-l at 1.5 eVe of published An intrinsic emission near this defect, and these Motivation optical InGaAs 0.7 eV. above ov<er a broad ~d coeffic2ent increases for this work a~sorptian rises gradually was provided by the rlata f~r InGaAs. defect was found by 1'1.. at 71 ~~ giving A variety results of methods were used tu characterize are pre£ehted. ix 1 INTRODUCTION The motivation properties for this work of InGaAs. an established to reproduce was to study the growth Organometallic technique for GaAs, vapor phase and material epitaxy and so the first (OMVPE) efforts results seen in other labs and to characterize ment. InP epilayers were required as a prelude growth because ternary growth. InP, GaAs/GaAs, compounds tronic devices InGaAs/GaAs, perfection. samples, The OMVPE desirable communications using materials, described its reproducibility and efficiency a popular the propagation technique method InP:Mg/ III-V speed elec- and Hall (PL) purity and to compare techniques. in Chapter relative II, is structures ease. in growing for producers with high quality Based fibers on GaAs layers, of optoelectronic communication a It is the for GaAs photocathodes. loss in optical for the Characterization used Multilayer can be grown with manufacturing on high of material in detail of its versatility. InGaAs/lnP and other photoluminescence and growth the equip- of InP/lnP, These are commonly here were good surface networks. give an indication technique, because it is becoming a very to those working These methods of compounds established Since interest and optical both of which different provide and InGaAs/InP. layers was performed mobility, crystal layers OMVPE was used to grow thin layers are of intense of these variety InP buffer to OMVPE is devices. is mini- 2 mized at - 1.55 ~ desirable wavelengths, indium-containing than GaAs for some applications. elements In, Ga, As, P in single depicted in Fig. 1. the GaAs bandgap. easily Indium is added than molecular of the two methods of each [1]. growth depends on chemistry difficult to understand. the utility of OMVPE as necessary Many type dopant are desired studied. compared developed used of OMVPE dynamics with more hybrid some of is that the that are is to examine GaAs and InP growth require which [2]. While p-type doped used zinc. Magnesium can be important when for a later herein. devices study. InP layers The pto of a low or interfaces have been grown by any method New incorporation here, in contrast abrupt junctions grown or pn InP is investigated has the advantage At OGC, eight Mg-doped of InP:Mg regions was to build for part of this work was magnesium, to the results level to retain of this report of InGaAs, are cited mechanisms and and are for Mg in InP. As a part of the InGaAs/lnP deep (MBE), although and fluid InGaAs must wait The few reports postulated below epitaxy disadvantage devices epilayers. and p-type commonly diffusivity, response are generally A long term goal of this research doping the more for growth bandgaps compounds beam So the focus semiconductor with n and p doped n-type A major of the four preliminaries. useful junctions. to GaAs to obtain are being the advantages process Solid mixtures are more form have the energy Phosphorus-containing grown by OMVPE combinations crystal materials defect was observed growth characerization, in PL data and extensively an unexpected analyzed. 3 ~ 2.0eV o o rot) I- 1.5eV ex Q.. ex C> C Z I.OeV ex CD >- /InP (x= O,y= I, 0= 5.87A) C> 0.5eV a:: I.LJ Z I.LJ O.OeV InAs (x=O,y=O, 0= 6.06A) x = 0.5 GaAs (x=I,y=O, o=5.65A) COMPOSITION (x.y) AND LATTICE CONSTANT (0) FIG. 1. InGaAsP Bandgap at 300 K. GaP (x=I,y=1 a=5.45A) 4 Accurate absorption temperature and composition data are compared by liquid phase Chapter techniques measurement VI. epitaxy InGaAs is discussed grown Topics over a wide published when report reports as a function energy of range. for material reported on the various characterization. appropriate. in this study are presented on include: absorption ion mass The theory The results These grown experimental behind each and discussion in Chapters IV PL of GaAs and InP substrates; of GaAs and InP undoped (AES), and secondary layers. obtained (LPE). used for epilayer and PL, Hall mobility, ternary of to the several PL and Hall mobility copy data were III and the appendixes of the crystals through coefficient epilayers; coefficient, spectrometry Auger PL of InP:Mg; electron (SIMS), of In spectros- Ga As l-x x 5 CHAPTERII CRYSTAL GROWTHMETHOD Within the family of vapor phase epitaxial techniques, organometallic vapor phase epitaxy crystal growth is an important (OMVPE) is the elevated method both for industry and research [3]. OMVPE temperature on a substrate growth the same lattice of single constant, for source materials. substrates layer with using organometallic Interestingly, lattice constants layers growth quite compounds with nearly and hydrides can also occur on dissimilar to the desired [4]. This applied chapter to GaAs, and its history, Other crystal growth will outline the lattice-matched InP, and InGaAs. the reader processes For further growth method information as on OMVPE is referred to two recent reviews that are related yet distinct, namely [5,6]. low pressure OMVPE [7], chloride/hydride VPE [8], adduct OMVPE [9], vapor levitation epitaxy [10], and laser-induced chemical vapor deposition [11], will not be further InP and InGaAs were discussed here. among the first materials to be grown by Manasevit in the early OMVPE investigations [12,13], dating to 1973. The increased use of this technique can be seen in the proceedings three International Conferences on OMVPE: and in 1986 [4]. The early attempts in 1981 [14], to grow InGaAs 1984 on GaAs [15], of 6 [16-19], pheric or on InP pressure reaction growing [20-25], using OMVPE met with in the vapor particularly and Bass zone of TEIn (TMIn) The reaction x(CH3hGa using producing InP is: ing the growth over a wide temperature ranged The reactions [42]. above range, to 700°C [26]. for In-containing are poorly understood of Pz over InP is in excess up to 100:1 is a loss of TMIn prior less severe there reagent [5], and are is a significant temperatures. are used. must to the growth Arsenic loss from InGaAs zone due to reaction loss of TEIn, [44]. reagent be maintained. still be maintained. than the corresponding The of 10-4" T at 650°C must growth compounds. of the phosphorous-containing to the indium-containing not as bad, but an overpressure While First, optimum minimiz- In this study, from InP at elevated an overpressure although For some applications, is desirable from 600°C given temperature of phosphorous [TMIn] ratios [33-39] In l-xGa xAs + 3CH4. evaporation compared the use TMIn and TMGa. mechanisms. Consequently, with of Stringfellow due to several pressure reported success at OGC was aimed inefficient vapor consistent is: have been reported temperatures The effort + (I-x) (CH3) 3In + AsH3 -+ can take place temperatures has been co-workers, reaction for InGaAs compounds More the growth methods [41-43] and their (TEIn) by atmos- due to the parasitic and PH3. [26-32]. at reproducing The pyrolytic Growth problems the indium-containing of trimethylindium triethylindium as [PH3J! or GaAs Second, there with PH3. it does mean is 7 that an excess Third, quantity po1ycrysta11ine or contaminated of both of TMIn must material be introduced growth can occur areas of the substrate. the group the substrate III a1ky1s is less than Magnesium and group was used for p-type bis(cyc1opentadieny1)magnesium on the hot susceptor Fourth, the cracking V hydrides 100% for the typical doping. (CPZMg) was into the reactor. efficiency in the hot zone near OMVPE reactor. The organometallic introduced compound into the reactor, and by the reaction (CSHS)ZMg--+ Mg was available growth their points solids -lS.8 instead. growth the published is a liquid determine values growth the (boils at HZ through conditions for InP and InO.S3GaO.47As in Table I and Table samples grown II, which at OGC for comparison. for various a was varied of the TMGa bath. conditions conditions over of Ludowise at room temperature to the gas stream DY bubbling used here are shown give the typical specific to accurately 1-xGa xAs was grown, the composition the temperature by the method HZ was passed mixtures. in this study TMGa as at room temperature When In Published also was made °C), and was added adjusting for incorporation and 88.4 °c respectively), of the organometa11ics; used TMGa vessel. of the epi1ayer CpZMg and TMIn are solids to obtain vapor pressure [S] were Since 176°C No attempt vapor at the surface proceeded. (melting Mg + ZCSHS' are given (The in later by 8 TABLE I. TMIn source Lab RSREc 1983 Comparison of Atmospheric for InP Using TMIn. Alfa 60°C PH3 source Carrier a gas flow (10% in H2) (l/min.) Air Prod. ] RSREc AHa 1984 60°C [41,42] [10-4] 4xlO [2.4xlO -3 Growth Conditions 0.0420.13 2xl015 3700 mIll dia. 24 638 43 650 0.033 1000 8xl014 40 mm dia. J -3 [3.l9xlO 5 ] 12.2 °c [7.43xlO-5] France Telecom 1983 [30] 4 H2 8 N2 65 Fr. Tele: 1984 [28] 10-30 750 7.5 Air Prod. Cornellc 1985 [27] 40 ] OMVPE [PH3] Temp. -GROWTHbBest [TMIn] (OC) rate.effic. n_3 (~m/m1n.) (cm) 5 (H2 & He) -4 [0.3--3 [0.5-2xlO [40] Pressure Air Prod. -3 Plessey AHa_5 1984 [4xlO] [31] [3.7xlO 0.06 650 0.033 ... 600 0.03 4200 650 0.08 mIll dia. Matheson [2.525xlO-3] AHa 25°C 650 4 2 4 cm 93 ] British Telecom 1985 [32J d U. of Utah [0.015] 17°C 1983 -4 [34-6J [2.28xlO ] 2 2x5 cm 66 625 0.083 OGCd 1987 4 80 600 0.03 2000 Alfa -5 Phoenix 2.4x4 em [9.25xlO ] Research_3 [7.43xlO ] aH2 gas unless otherwise bGrowth efficiency assuming the vapor 2xl016 noted. Growth tube cross-section 4500 noted. = (growth rate)/(TMIn molar flow), in pm/mole, pressure of TMIn given in Ludowise [5]. cInP (100) substrates were etched in bromine-methanol, then baked in the reactor at over 650°C for at least 10 prior to growth. dInp (100) substrates no pre-bake. were etched in H2S04:H202:H20, but experienced TABLE II. Lab RSRE 1986 Comparison of Atmospheric Pressure OMVPE Growth Conditions for InGaAs Using TMIn and TMGa. TMln source TMGa source AsH3 source Queen Mary AHa Phoenix Res. Coll'='460°c [42] [10 HP, 1984 [26] 17.3 °C_5 [3.48x10 ] [27] 1983 [28] Bell Labs, 1986 P1essey Alfa -12°C -5 [2.3x10 ] [29] Alf a _5 [2.3x10 ] 80 2.02 660 . .. . . . 4 x 1014 13.5 173 (18) 1.52 540 (640) .. . . . . 2 x 1015 ] 5 14.3 1.95 650 . . . . . . 2 x 1015 Liquide 50% N2 . . . 650 0.06 ... 50% H2 5 . . . . . . 625 . . . . . . 2 x 1015 4.4 59 1.74 600 0.06 5300 9 x 1015 . . . . . . . . . 650 0.13 . . . . . . 80 . . . 530 .. . 2 31 . .. 650 0.05 6800 5 x 1015 Phoenix Res. 4 80 2.07 600 0.057 2600 3 x 1015 Air Pro [3.7x10 5% ] in H2 [32] U. of Utah: 1983 [37-8] 10°C -12°C 1984 [33] 10°C -11. 1986 -3 [1.6x10 . . . . .. 7.5 Bes!3n (cm ) ] [0.01] - Air . . . British Telecom OGC [1.2x10 [0.01] [4x10-5] 1984 [31] 1985 ] Alfa AHa 25°C Fr. Te1e. [TMln] Temp. [TMGa] (OC) -3 -5 -5 [7.43x10 ] -14°C -5 12.2 °c [3.8x10 ] Cornell 1985 -9°C [4.95x10 ] [V] [III] H2 flow (l/min.) Alfa [9.25x10 _5 Alfa ] 5 °c _5 . . . 20,000 [4.5x10 ] \0 10 chapters along with represented in the tables reactor surface to grow defect-free What reactor produced design material for growth The general layout When contained The reactor on a compilation The toxic to remove lines hours/day. of published exhausted itself were vented or joined Arsine, cylinders phosphine, unifor- through was changed, purged a single and toxic through VCR gaskets reactor were tube, and the individual during blower gas regulator vacuum prior bodies, air, 24 and the growth barrel 316 S.S., to seal, and to outside charcoal line the change. with nitrogen reactor an activated O-rings (See (shown in the top view All gas tubing was 1/4 inch O.D. tube, in Fig. 2. any room air introduced by VCR fittings. thermocouple The two-dimensional is shown The four cabinets, All hydrogen air. list.) could be individually to room air. box were efficiency, in gas cabinets each of these was evacuated Plated on the ability for this study, but was not of the reactor were outside impact abruptness. hydrogen tube were based rate, growth E for an equipment glove and interior of the OGC reactor. acceptable Appendix opening have a large is a description or interface only). which purity are not It was built by Crystal Specialties, Inc. in 1985. optimized mity, which epilayers. and apparatus reports. Major variables are source material cleanliness, follows geometry results.) to the either welded were used only to seal glassware: and reactor used throughout. exhaust Valves oil trap. contained teflon seal 11 H Organometallic 2 Source Baths Cabinet TOP VIEW Process Vent \ 1 m Air Cabinet FRONT Lucite Arsine/PhosphO Exhaust Cabinet VIEW Glove Box Keactor Gas Pipe Cabin? p rf III I Flow Meter / /' -. Indicators III T Abort Int50rs Power n H Bus U~~ ~PU~if Generat~.. 4m FIG. 2. CaDinet & Valve .#' / & Valve OMVPE Reactor General Layout. 2m " >f 12 gaskets. Prior to installation, hot trichloroethylene acetone wall and hot acetone, and methanol. 10-8 T. The assembled The two gas cylinder flammable-liquid inside connecting tubing box was employed components or substrates. at least 10 minutes not used switching A schematic Gas flow the organometallic output valve the tubing and valve in this figure. source at about or condensation to the reactor tube. lines Details tube as desired. tube components. to left. N2 for door. the reactor was over flow rates; Heat leading is given in Fig. 3. tape was wrapped 40 em of the source into the reactor of the reactor in.the cabinet tubing are shown oven could be positioned The bake-out tube, This was done to of the organometa11ics the reactor phosphorus cabinet 40 °C at all times. The rf coil and bake-out white and tube low purity with from within manifold in Fig. 4. to convert ports were reactor no control doub1e- bulkheads load/unload supplied it provided to the 3-way valve plating the reactor sequencer of the gas pipe is left to right maintaining and unloading to was done manually. around prior opening process leak checked and vacuum through with with by OGC, using This box was purged with in this study because all valve were built flowed degreased Gas flow in Fig. 2 is right for loading before The programmable system was helium gases to the reactor. were by cold rinses All regulators and process The glove followed cabinets cabinets. the cabinets, prevent all gas line components along oven was used occasionally to red, and to otherwise clean the reactor Plant Air PH3 .. Vac Seal aust Oil Trap Vent FIG. 3. OMVPE Reactor Gas Schematic. .... w TOP VIEW --_._I I i Water Cooling for rf Coils I ,. End Cap _, I Vent I I I Thermocouple 3 - Way Valves Bake-out Oven I ~ ~ FIG. 4. OMVPE Reactor Cabinet. 15 The reactor quartz tube itself ramp in front of the susceptor susceptor was SiC-coated and held substrates containing which (ungrounded). the reactor whenever 1000 to 3000 liters then rinsed gloves were until were worn, regia, insert and rinsed turbulence. possible cross quartz tube solely with of H2 were through The section), 13% Rh in an inconel to sweep of the in the rear of the were measured 100 cc/min. kept this sheath flowing away contaminants. the system after long no HZ flow could be maintained. a clean water sample break edges were in a teflon and ramp were in water five to ten growths, in a hole etched just prior etch or rinse was done The quartz fitted of HZ were purged during which The purpose A 5 mm diameter was Pt vs. Pt with Approximately Substrates was to reduce at a 10° angle. was in Fig. 5. (Z.4 x 0.6 em front The growth temperatures thermocouple, shutdowns graphite a thermocouple susceptor. through is detailed the susceptor at 40°C was obtained. held with beaker cleaned followed for 30 minutes in H2 at 900°C. to growth teflon dedicated prior by acetone was cleaned Talc-free latex tweezers, and the to the purpose. to each growth in aqua and methanol. Every in aqua regia on InP, a two minute and start of AsH3 remaining PH3. and baked GaAs substrates were baked at 800°C for 5 minutes in 10-3.atm of AsH3 just prior to growth. was grown in a 5:1:1 gap was kept between flow during which II/min. This was to prevent InGaAsP When InGaAs the end of PH3 flow of HZ flushed growth. out the AXIAL VIEW OF END CAP AND RECTANGULAR INSERT SIDE End Cap VIE'" Rectangular Insert TMIn & CpZMg PH3 Round Insert AsH3 Substrate (On Susceptor) ~ Gas Flow 6mrn I Outer Tube 4cm -1 a-rings 40 cm 48 cm FIG. 5. OMVPE Reactor Tube. j Pressure Gauge ..... 0\ 17 Numbering GaAs of samples 1 was grown grown InGaAs 3/30/86 was sequential 10/17/85, while GaAs and InP 47 1/16/87. 69 was grown and the resulting 2/2/87. epi1ayer Growth by epi1ayer 62 was grown InGaAs times thicknesses 9/15/86. 1 was grown ranged were material. InP 1 was 4/25/86, while from 30 to 120 minutes, 1 to 6 microns. 18 CHAPTER III CHARACTERIZATIONTECHNIQUES A. Photoluminescence (PL) spectra were taken on nearly all epilayers and Photoluminescence substrates levels. for the purpose A good general has eluded the author, [45], and good information setup An argon discussion in Fig. provided afterward.) of the sample surface point the low temperature In order focal = length with monochromator. of PL is in reference to the quaternary radiation of above The laser was focused, = alloys bandgap InGaAsP energy of a large diameter The same was mounted, checked unfiltered, 120 mm, 42 mm diameter using by on the lens. The same (30 rom), short rubber cement, focal on pad of a MMR cryostat. the need respect to focus for precise to the sample of the monochromator, 34 mm) was used background in 1981 and was occasionally by a f to obviate monochromator and measurement (Power level calibration data was was at the focus (10 rom) lens. and defect 6. by the manufacturer surface length purity For the following description, refer to the ion laser OGC personnel of the theory in regard (514.5 ~m) at up to 20 W/cm2. provided relative but some theoretical is in reference [46]. experimental of establishing and to match a third the light location lens (f = of the more 32 onto the entrance rom, closely the diameter slit of the A filter was introducedinto the collimatedportion of 19 Path ChoppeT Lock-in Amplifier Detector Acplifier FIG. 6. Schematic of Photoluminescence Apparatus. 20 the light path wavelengths minimized width), width, to remove laser from passing to obtain but light emission through good energy throughput the monochromator. resolution dropped as can be seen in Fig. and to prevent 7. with and output order Slit width (dispersion off rapidly Input lower was was 6 nm/mm decreasing slits were slit slit always set to the same width. The monochromator the Ar+ ion laser (632.8 nm). lenses used possible to the output clean N2. used. The well The larger detector. was both laser by the windows as close or as in between. The signal by a conventional lock-in for absorption for all PL data since Ge detector fitted with 1500 nm. a gas inlet to purge the PL studied absorption H20 absorption assumed response water vapor peak at 1375 8. Since this here, N2 was not typically drop at 1410 nm was obtained and was therefore it had a beyond atmospheric (The measurements.) as can be seen in the inset of Fig. The detector peak heights was used known did not affect PbS detector lamp as used than the cooled [47] was observed absorption and a He-Ne was positioned slit, with no optics using Detector response curves are given in Fig. 8. The monochromator nm was observed The detector PbS detector response was calibrated and 488 nm lines) absorption source was the Oriel better indicator and fed to an X-Y recorder (uncooled) with 496.5, in this study. detection system. The (514.5, No selective was amplified light wavelength only with to be characteristic of this curve was used to correct relative in some of the PL data; whether noted in the text with each figure. or not this was done An equipment list for PL is the 21 >- 100 ..... (f) 80 z w ..... 60 ..... ::> a.. ..... ::> 40 z o 20 o o 0.5 1.0 I. 5 2.0 MONOCHROMATOR SLIT WIDTH (mm) FIG. 7. Light Output for Various Monochromator Slit Widths. 22 PbS 300K t 1400 nm :::J o 77K Ge Unfi Itered >r(f) z w rz 300K PbS Unfiltered--... 400 600 800 1000 WAVELENGTH FIG. 8. 1200 1400 1600 1800 (nm) Optical Detector and Filter Spectral Response. 23 measurements When is given determination photoluminescence values in Appendix the impurity of impurity data, [46,48-50]. a simple peaks of least (Raw data are in Appendix report as full width Data samples. from in PL. squares C.) in Chapter 16 -3 ing levels in excess of 10 em in this ratios employed important directed data. throughout this NA-ND for InP:Mg in the determination A method is valid of car- only has also been un- for dop- claimed to from PL [51], but that was not attempted to increase obliquely face and cryostat Secondly, although wavelengths greater substituted for looking Si filter the sample, window a Si filter in Fig. transmission 50%). laser 6, the laser to enter is desirable methods One step that was scattered were unable emissions is only about and several thus the specular than 1200 nm, a glass at weak seen, ratio. was to direct As indicated toward easily the signal-to-noise in early measurements the sample slits referenced IV to estimate This method was not always away from the detector. tor. 9, which study. Photoluminescence were in Fig. of from the data in Fig. 9 that considerable by this method. compensation width (FWHM). a factor of two--exists rier concentrations the can be seen are given using to literature broadens fits to the above Peak widths are used It is obvious determine This was attempted was made of impurities at half maximum [46] certainty--perhaps concentrations comparison The presence transition is a compilation E. beam light beam was reflections the mono chroma- for order sorting filter was occasionally in this Third, were opened as wide as possible (consistent range from (because the the monochromator with reasonable at 24 > Q) E 45 r 40 77K 35 30 25 :I: 20 u.. 15 ...J 10 5 0 1016 1017 (cm-3 INA-NDI FIG. 9. energy when the laser was its surface. laser Fourth, focused An example all parameters beam. surface ) PL FWHM for Various Doping Concentrations. a) LPE InGaAs:Zn [48], b) LPE InGaAsP:Zn [46], c) VPE InP [49], d) LPE InP:Zn [50]. resolution). 62 with 1019 1018 Variations constant this a larger was greatly enhanced. on the edge of the epi1ayer is shown of any samples. the edge excites PL emission in Fig. 10: except It is presumed thickness PL results for location large were never as opposed of the InGaAs from InGaAs of the incident observed that laser to along the light entering layer. (This enhancement was seldom needed. and all data reported in subsequent 25 - ::; c OMV PE I nGaAs 62 77K >- fen z a LL.I ..... Z LL.I U Z LL.I U en LL.I z :E => .-J o ..... o x n. 1500 1600 1700 WAVELENGTH FIG. 10. chapters the center generated of the This accuracy resolution spacing with the laser edge-focused input. striking laser the input, surface near sample.) When estimates the (nm) PL for 'OMVPEInGaAs. a) b) surface-focused laser were 1800 of peak was assumed is shown of two vertical energy or FWHMwere to be limited in each lines. figure by the made from PL data, monochromator containing PL spectra resolution. as the 26 B. Hall Mobility Measurements the van der Pauw from this Appendix of the sheet technique reference.) [52]. Ohmic A, and were placed a diamond lines) was used These by the method of samples-that by are given in had been For inhomogeneous samples, the epilayer between the contacts to form a The normal configuration (without scribe for all data reported measurements effect were made in this section were made in the corners scribe midway cloverleaf (see Fig. 11). and Hall (All formulae contacts cleaved into 3-4 mm squares. was cut with resistance herein. give the low field response of the majority carriers (Hall mobility), information about compensation (when the data cover a suitable and net carrier quantity temperature concentration that is measured and D in Fig. 11 when resistivity, current I is passed age V is measured across C and D. where R = VII. edges with tances current are averaged of contacts F depends edges In practice, R. and the resulting F ~ 1 _ R - Rs ( R+R s) [ 'lrdR/ln2 for all four from adjacent (ln2) 2 - 4 a volt- resis- F, in the calculation. 4 ln2 _ 2 For in the placement as: R - Rs 2 R+R ( s) = eight Any lack of symmetry R and R s obtained A, B, C, A and B while is repeated a factor, The into the sample. Then the resistivity p by including d). the contacts points this measurement to obtain on the resistances between through as "the resistivity thickness, is injected of both polarities is corrected as well (given the epilayer is the voltage a known a current range), (ln2) 3 12 J sample 27 A D ~ . . . . B ELECTROMAGNET C Inhomogeneous (With Scribe Sample Lines) SAMPLE APPLE lIe CONTROLLER N2 GAS CURRENT CYLINDER SOURCE DISC STORAGE SCANNER PRINTER ELECTROMETER PLOTTER TEMPERATURE CONTROLLER APPLE INTERFACES IEEE 4BB BUS FIG. 11. Schematic of Hall Mobility Measurement Apparatus. 28 For nearly symmetrical contacts, F = 1. p = TIdRF/ln2. Calculation resistivity of the Hall mobility measurement b, perpendicular across there of these value on d. assuming the Hall factor, temperature These then n formulae controlled Shown schematically were The Hall current polarity from to give four or n-type con- of the absolute Note that since p values a:d, IlH can then be ca1- by one type of carrier for the material, dominates. magnetic If induction, and rH/ellHP. in a program Hall mobility (see Appendix measurement F) system. 11, this system was set up as described note #501, omitting E.) set a particular From any starting stabilized after a 10°C diagonally i injected is zero, (the average concentration list is in Appendix temperature--or ture controller. ~r induction, is to be subtracted p-type indicates incorporated in Fig. Each and with ~ a semi-automated application (The equipment = vIi, current field Carrier rH, is known used, the Keithley = IlH = d ~r/bp. conductivity which increase. of four differences), cu1ated, v is measured the magnetic From the resultant does not depend sample when (The polarity ductivity.) Now r p, and a further of a known magnetic The voltage are then four r values. its corresponding values. requires from B to D (or A to C) with A and C (or B and D). reversed #H in the presence to the sample. the sample through ~r Including possible asymmetries, the unity The computer va1ue--via temperature, increase in 30 s. factor was assumed For GaAs, values were used from [53]. in gain amplifiers. monitored the the MMR temperathe sample temperature It took 50 s after a 50°C to be unity for InP and InGaAs. (A recent report estimated the 29 Hall factor for InP [54].) All measurements within were made the particular voltage drop was in the range not measured (except have no deviation control although setting The resistance Mobility this was a small For 5000 Gauss changed effect, for both field data mobility apparatus. OGC data agree with parameters the data, changed were was usually it was found to of the magnet (see Fig. 12), To see how the the magnetoresistance a 3000 Gauss the same induction of GaAs 27 induction change. Since study was done of magnetic sought effects. was set to 4.0 and to confirm the accuracy These data are summarized in Table III. other independent of temperatures, and n-type which current polarities data the control chosen such that the Calibration was used. 2% with no further Gauss because were (See Fig. 12.) Corroborative range polarity 0.3% with and 10,000 9.0 respectively. both p-type affect value. values regime The actual samples) from the programmed might Current conduction for some early only one magnetization was tested. a broad ohmic 10-100 mV. was performed field magnitude change. sample's in the dark. range sample materials. over several of the Hall The recent measurements to within 10% over thicknesses, and mobilities, This is quite good agreement orders of magnitude. for for 30 - 10,000 - 8000 It) It) ::» D C) z -0 U ::> 0 I 6000 z u - 4000 .+ POSITION f112 POLARITY /"'0 I - __ . - POSITION 4' I POLAR ITY w z C) <I 2000 0 0 2 ALPHA FIG. 12. 4 POWER 6 SUPPLY 8 SETTING Electromagnet Power Supply Calibration. 10 31 TABLE III. Comparison of OGe Hall Mobility Results with Other Labs. Data source Test date Temp. (K) OGe 1/79 300 0.018 112 3 x 1018 GaAs:Zn (111) t = 500 JIm OGe 6/86 292 0.0202 128 2.7 x 1018 OGe GaAs55 n-type (100) t = 1 JIm DEI 10/86 77 0.0733 88,700 9.6 x 1014 OGe 9/86 79.5 0.0816 86,100 9.1 x 1014 7/86 300 0.0267 10.3 2.3 x 1019 3/86 292 0.0267 11.2 2.5 x 1019 Sample identity Laser Diode P JIH (nem) (em2/Vs) n or p -3 (em ) Lot IIA.0809 Tektronix 117 B-doped (100) po1ysilieon t = 0.4 JIm Tek OGe 32 C. Auger Electron Auger relative Spectroscopy analysis amounts matched.) for the sample diameter was used. sample (Optical to verify absorption that this sample was nearly InGaAs in January, 65. The beam the and lattice- 1987, at Charles A 10 kV primary Evans beam of 10-20 current was approximately 1 ~A, rate was 100 A/min. A comparative "standard" laboratories, sample and gallium. had predicted and the sputtering Evans on one InGaAs The AES work was performed & Associates microns was undertaken of indium photoluminescence (AES) under OSU 1-29-7-86, ternary sample was also analyzed the same conditions. grown by molecular beam at the This was the InGaAs epitaxy and obtained from Professor J. R. Arthur of Oregon State University. The bandgap of this at 77 K and "standard" 300 K. been These for detector at 0.789 Eg(300 the relations K)(x) + 0.53x2) = (0.35 i.e. lattice-matched occur = 0.468 response 13. The peak heights with wavelength. is centered VI, the PL results have The 77 K peak at 0.736 for InGaAs eV. 65 were is (As ambiguous.) for E (x) of In l -xGa xAs given in [55], namely 2 g + 0.6lx + 0.46x eV, the composition match is x in Fig. eV and the 300 K peak be seen in Chapter Using at OGC by photoluminescence data are presented corrected centered will was measured to InP. and ), parameter are different for InGaAs proposed g K)(x) (At 300 K, the precise because for a given the coefficients and InP.) Alternative for E (x) at room temperature = x for this sample [56]; lattice-matching at one temperature Eg(77 value (0.41 is x of thermal [57,58] and at 2 K = 0.47, for a lattice sample relations + 0.57x can only expansion have been [59], as well 33 - ::t CJ MBE In I-X Gox As OSU 1-29-7-8 UJ o 77K z UJ o (/) UJ Z ~ ::> I o ~ o J: Cl. 1500 1600 1700 WAVELENGTH FIG. 13. PL Spectrum for as a relation for The value calibrate data of the that As content, the top for = x 0.47 atomic 23.5% 4000 A of (nm) InO.53GaO.47As for the MBE "standard" data The result derived is and 26.5% the That OMVPEsample layer. MBE sample InGaAs 65, sample from given Ga content, of the "Standard". [56]. percent sample. PL/ AES analysis data E (T) g 1800 the 14, In content was then as reported which uniformly scaling used in to AES raw intensity in Fig. compositional was used to VI. 50% throughout derived interpret Chapter shows the from AES 34 100 90 I MBE 80 70 E-< 60 :z t:J u p:: 50 t:J p.. U H ::E: 0 E-< <:: In1 -x GaxAs . OSU 1-29-7-86 I As 40 II In 30 20 10 1000 2000 3000 DEPTH FROM SURFACE (A.) FIG. 14. AES Profile for InO.53GaO.47As "Standard". 4000 35 D. Secondary Ion Mass Spectrometry The SIMS technique, tered ion mass to measure spectrometry, Cs+ ion bombardment was employed 0+ ion bombardment used to measure and positive sputtered Fe, Mg, Hg, Na, W, Cu, Ni, Cs+ ion bombardment was used to measure monitored to locate the interface Evans & Associates in InGaAs/InP. SIMS ion spectrometry sputtered was ion spectrometry distributions. between sput- Cr, and Al distributions. and positive the Zn (as ZnCs+) and negative by Charles 0, C, S, Si, CI, and Ag distributions with SIMS with using (SIMS) Arsenic the epilayer was also and the sub- strate. Appendix D contains the processed data, plotted semi-Iogarithmically as "concentration" processed data plot versus is labeled are referenced to this scale. of ion current to concentration standards in GaAs, GaAs matrix. and should For InGaAs larger. The quantitative sitivity factor The accuracy depth. The right-hand "secondary With ion counts," the exception they were not be accurate to a factor of two in a Ag data were is unknown obtained electron be within have been for possible in the correct an interference of Ag, the conversion of ion implant from the relative to check and the As data on analyses about S, Si, Cu, Zn, and Hg, were monitored per element of each was based the uncertainty for Ag should axis molecular isotopic and probably by estimating affinities an order using a sen- of Ag and As. of magnitude. at least two isotopes ion interferences. ratio when measured, at one or all of the isotopes The profile which yields the lowest concentration much If there must of that element. after this comparison 36 will be closer because no ion implant are near rather to the actual those of Hg. concentration. standard Thus The Hg data are unreliable was available, and isotopes the Hg data probably track of In-Ga-As the ternary than Hg! The SIMS data are used only for comparison and no conclusions concentrations are drawn of expected from them regarding or unexpected purposes in Chapter the absolute contaminants. VI, 37 E. Optical Absorption Optical absorption coefficient data for InGaAs (a) were sought for two reasons. First, ternary Also, samples. of photodetectors While interest intensity reductions 1500 nm light passing removing polishing, InGaAs, etch While substrates fixture mounting from the heat, Also, when would flow between Despite and yielded free-standing etched, the InGaAs for methods for thinned by wax are depicted to work, not always layer were attached very completely low surface samples the InP substrate that an ways of in Fig. 15. there was difficulty and the glass, early InP but not meant Several the wax solidified several After which the ternary. be made and would samples Several in this observed Since HC1 etches hot, the wax had an extremely some data. is desirable used were mechanically slide using because such difficulties, for a substrate For substrates destructive. could the process, of tried. to support to a glass in the wavelengths of the InP substrate could be selectively all these methods removed light the substrate. on some samples was needed samples controlling away, were but this proved devices. is large enough ratio. of the performance of up to a 2:1 factor were through the substrates The substrates absorb that removal the signa1-to-noise the bandgap of a helps predict the absorption thickness to estimate optoelectronic InP does not strongly of 400 microns study, knowledge and other for InGaAs, to improve they were used quickly tension, etched edges and the sample. was entirely by their when seal all edges. ruining were in this way, etched to a glass 38 METHOD A Pull Sticks Heat Until Wax Lay Strands at Sample Edges of Wax Melts and Seals Edges Hot Plate InGaAs Layer Facing Glass Step 3 Step 2 METHOD B Seal Wax to Glass, Remove Rod Layer Rubber Cement ~ Rod \.]ax Attach Sample to Holder Hot Plate Step 1 Hot Plate Step 2 METHOD Step 3 C Pour Hot Wax, Trim When Cool Fixture Surrounding Sample FIG. 15. Methods of Mounting Epilayers for Substrate Etching. 39 slide with ideal GE #7031 varnish. because strain of the sample. However, in the epilayer In addition, it was difficult this mounting could cause scheme was not cleavage and curling if the InP was only partially to quantify scattering and reflection etched, losses at the InP exit face. The most successful sealing the InGaAs epoxy. While layer sealing hours the epoxy was not to a small glass slide by means immune noted developed slide with samples (6 x 10 rom), etching remove GE #7031 the thin So for the were prepared by in 38% HCl for 1-2 the substrate, varnish involved of a transparent from attack by HCl, otherwise, to fully in the cryostat method to the glass was not attacked. here, unless at room temperature mounting preparation layer to a glass the epilayer data presented epoxying sample rinsing, as shown and in the inset of Fig. 16. Figure 16 also shows for an equipment depicted list.) in the inset. for the short measurement was The stability + 1 °C. was checked data were and sample aperture that the intensity time; using sample was maximized and glass each. is adequate no more than temperature filter were respectively. at 1300 nm to ensure positioned through of the nm ranges each filter. alternately it drifted The accuracy E refrigerator of the lamp was quite nm and 800-1300 on each (See Appendix of the Displex As in PL, a Si filter obtained were apparatus. measurement a two hour warmup. for the 1300-1800 Transmission sistent The cryotip (about 5 min.) 1% per hour after employed the optical The reference within that aperture the beam The light con- from such 40 Reference Beam Apertures lass Slide G. E. 7031 Varnish ryotip Position Adjustment Lenses, diameter Lens, f = 65 mm, 45 mm Dia. Chopper FIG. 16. Optical Absorption Apparatus. = 32 mm, f = 34 mm 41 the monochromator imaged not onto an (uncooled) identical through was imaged onto in area, both apertures either aperture, PbS detector. a scaling when factor Since and was in turn the two apertures (the ratio open) was measured were of intensities and applied to the raw transmission data. Transmission data (T) were extracted graphically at various energies discrete wavelength. The resolution measurements (0.5 mm slits). To convert refractive The data of both of InGaAs from these, from Burkhard between calculations by 40 meV of bandgap those a smooth respectively, temperature. index with changing data were 0.47; of 1300 nm light two glass no epoxy. slides x was attempted through measurement replaced by an InP substrate. to higher energy the variation on LPE material here.) by comparing a layer of epoxy to the transmission A similar with For no estimate of variation of The index of the epoxy, n e, was measured mission In the interpolated. (These data were measured = Data 1.2 eV, and those shifted to correspond [60,61]. in Fig. 17. above curve was Only to the author are used for energies below 0.76 eV. with the composition parameter x refractive of the and InGaAs was necessary. index are known at 77 K and 10 K, these with versus 3 nm for all knowledge at 300 K, are reproduced energies, and 60 meV, was coefficient, et al [61] are used for energies of Chandra et al [60] range the epoxy refractive valid of intensity of the monochromator T data to absorption indexes two studies from the X-Y plots through sandwiched the transbetween the same two slides was made with one of the glass A schematic of each is given in with slides Fig 18. 42 3.75 LPE 100.53 G00.47As 300 K 3.70 3.65 x w o z " 3.60 w > I- ,I , ,, '' U <X: a:: LL W a:: " ,, " ,.. ,.. " ,,, , ,,, , ,I , ,...' 3.55 3.50 3.45 3.40 0.5 0.7 0.9 ENERGY FIG. 17. 1.1 1.3 1.5 (eV) InGaAs Refractive Index. Solid line below 0.76 eV is data from [60], above 1.2 eV is data from [61]. Broken line is an interpolation estimate. 43 I.J. I 1111 I.J. I Glass S I s /1 0 = 1. 05 I /1 s 0 = 0 Glass Epoxy InP Glass I. J. I 1-*1 I. J. FIG. 18. Schematic In the first case, the reflectivity of the ratio interface the 1.19 0 for Epoxy Refractive Index Measurement. of intensity that through the air gap was 1.05:1. of each air-to-g1ass >1 S through the epoxy to Assuming that the reflectivity is 0.04 epoxy-to-glass (i.e. a glass with ng interface, R eg can be = 1.5), estimated from so that R eg = 0.16 = 2 e This implies that n e In the second 2 (1.5 - n ) /(1.5 + n ) e . = 1.2. case, the measured intensity Assuming an InP refactive index of 3.21 [61], reflectivity of 0.276, a slightly different ratio was 1.19:1. which gives an InP-to-air expression results: 44 1.19 where This R eg - (1.5 expression epoxy R eg is n ) /(1.5 e well on these of this interest. The refractive all regard ) + n) e and R es satisfied if ne refractive index the method TABLE IV. 2 n e ) /(3.21 refractive index temperatures. was observed of the glass of proportional error, all to sign, for the various parts cient measurement are given in Table IV. the (3.21 2 + n e ). = 1.3. for all index = No spectral in the slides of the wavelengths was assumed of to be temperatures. The values with es to be n e = 1.3 was assumed for R two measurements, dependence 1.5 - )(1 (1 - 0.04)(1 - 0.276) 2 2 = Based - (1 _ of least squares independent and of the absorption symmetrical coeffi- Combining these errors by gives a simplifiedestimate of the total Proportional Error Estimates for Optical Absorption. parameter n e proportional error (€ ) 0.04 n( A) 0.004 t 0.05 T 0.005 A 0.005 S 0.005 n g (glass) 0.004 45 [62], error contains equal to + 6.5%. the largest teclmique is given To calculate [45] from Moss addition contributing in Appendix the absorption = [1 = n(A) - of vacuum-to-InGaAs n( A)] Ret = InO.53GaO.47As = N 8 = A = = scaling light n ( A) ik( A ), which is refractive temperature index, 1. e. dependent, measurement, wavelength, = (21ft/ tP = angle t = sample 1/1 = arctan [2k( A) /n2 ( A) the , from transmission 6 ex = interface part of the complex factor is temperature 2 /[1. 3 + n( A)] + which above, of epoxy-to-InGaAs [1. 3 - n( A)] imaginary interface , 2 k( A) = + 4/Ru..R_..sin (0 + 1/1)} index of refraction, as noted reflectivity coherent 2 /[1 + n( A)] dependent layer with A )/n2( A)] 22. R_.. exp(-at/2)] 2 = was used components: - IR reflectivity measurement (a), a formula (T) of an absorbing - Rvt) (1 - Ret) [1 + k2( 8(1 - 0.04) {[exp(at/2) the thickness coefficient for transmission (1 Rvt error; B. of multiply-reflected T= Here, The measurement of sample thickness A )n( A )cos tP, of incidence = 0°, so cos tP = 1, thickness, InGaAs absorption are trying + k2 ( A) - 1)], coefficient to measure. = and finally 41rk(A) / A, 1.e. what we 46 This formula was derived and transmission position in a plane were significant example coefficients of the amplitudes tors from the Fresnel parallel at each interfacet of reflected plate is given for reflection and a linear and transmitted (see e.g. in the data for thint of the raw data formulae [63]). highly in Fig. 19. super- electric Interference re1ective effects samples. The intensity vec- An of light through the reference aperture (top) and sample aperture (bottom) is shown in the figuret with interference peaks on the left. Note that even for quite large values of at k2« examplet = if A 4 1 ~m then k2 = further that since be than less etc. [64] [2k( 0.012. The series 2 A )In (A) = cm two orders and n = 3.65 at 300 K)t of magnitude larger. of the arctangent expansion will = z arctan(z) - Note always + z515 z3/3 - 1)] so our formula 1378 2 - 1)] nmt a = 2k( A) I (n 4 10 = In this caset 2k/(n2 2 arctan[2k/(n T 13.3t k < nt the argument unity. For examp1et if A = = 0.134 while n2 -1 4.6 x 10 = For then holdst and we can safely assume: arctan and k2 (where a n2. = 0.0185777. - 1). -1 cm t = and n 2 3.58t - 1) = 0.0185798t FinallYt can be simplified (A) note then n = 12.8 while that cos2z = . 1 2 SID Z t to: (1 = 0.96sreat+ R R e-at L: vt et Since T and this formula At a computer iteratively matched could not be solved uniquely program was written to measured T values which for a in terms of allowed to three for trials significant of a digits. 47 OMVPE InGaAs 57 IOK - :J C >- I- CJ) Z W tZ 1800 1700 1600 1500 WAVELENGTH FIG. 19. 1400 1300 (nm) Raw Transmission Data for Optical light through reference aperture; through sample aperture. Absorption. Top curve, bottom curve, light 48 This program is given in Appendix F. The author determining methods of %T has despaired bandgaps from absorption in the literature, [65]. versus [25,66,67]. theory including Some authors hv to zero, ignore and ascribe Others include [68] to their data There taking the "midpoint" exciton of "bandgaps" study, not A number can be fitted of of in the rise and extrapolate energy effects, method are a variety effects the resultant [59,69]. for an accurate data. the exciton and so a variety I decided in his search a2 to the bandgap and fit Elliot's of assumptions to the data. to take time for the computation are required, For this involved in ac- curately fitting absorption data to Elliott's theory, choosing instead a graphical technique. The bandgap higher in energy off rapidly. straight their lines of samples than the energy at which This point fitted intersection proved bandgap was typically to above-bandgap at the "knee". and the below-bandgap was assumed appearance easier.) in this study was assumed of strong exciton and below-bandgap experimental absorption peaks the absorption begins found by extrapolating When to be 5 meV higher to be somewhat was nearly in energy would to fall two absorption technique a vertical imline, than this point. have made bandgap to the (The determination The accuracy of this method is estimated at + 5 meV. 49 CHAPTER IV SUBSTRATE AND UNDOPED EPILAYER CHARACTERIZATION RESULTS A. GaAs and InP Substrates The effect is of a fascinating scope of this study. was useful This section topic However, presents with analysis was done data discussed PL spectra the at PL conjunction presented InP Weak PL was observed No PL was observed three figures, 21, n-type for the no peak in the these in figures: Chapter Fig. and Fig. detector VI. 20, 22, some substrates for sub- SIMS at InP substrate. correction used results. lists analysis InP substrates; semi-insulating height V the substrates substrate; three for the beyond manufacturer. InP:Fe InGaAs is epi1ayer Table by the with Fig. to data. semi-insulating GaAs substrates; substrates. but of comparison provided 77 K are on OMVPE epi1ayers [70], research substrate the in of for information for and defects PL characterization as a benchmark along are impurities and useful here strates substrate p-type 300 K. For these spectral response was employed. Detection of and Buehler [71] luminescent emitter times smaller 1ating for this in the PL proved reported than GaAs substrate PL system. Zn-doped more that because that of in InP the is GaAs than 100 times 20 is recombination near of corresponds the for InP. more efficient The luminescence The 31 meV shift GaAs substrate for surface GaAs. Fig. difficult limit as a velocity from of luminescence to the well the Casey is 100 semi-insu- reliable detection to energy lower known binding 50 TABLE v. Substrates and OMVPE Growth Material & Orientationa Manufacturer GaAs Spectrum 13252 + (l00) 0.25° GaAs:Zn ~ (110) (100) InP:Fe ~ (110) (100) & Wafer Crystal /1 Tech. Spec. Numbering. Resistivity (n cm) n O!3P (cm) 107 0.0025 GaAs 10-29, 31-62 InGaAs 2, 4-11 1018 E2652 ICI Americas Rl163 InP (100) Atomergic InP:S (100) Atomergic InP:S Sumitomo 506216 0.20 1016 InP 19-26, 32-4 InGaAs 20-3 0.001 1018 InP 17-8 InGaAs 3-7, 24, 31-6 0.0005 1019 InP 27-31 InGaAs 25-30, 37-46, 48-9, 57-64, 68-9 H1668 ~ (110) GaAs 2-9, 30 InGaAs 3 InP 37, 39-47 InGaAs 50-6, 65-7 H1667 (l00) OGC b usage InP:Zn (100) Atomergic H1669 InP 1-16 InGaAs 1-2 InP:Zn (100) Atomergic 11662 InP 35-6, 38 InGaAs 47 aA11 were b substrates polished by the manufacturer. Of the first 18 InGaAs layers grown, 7 were on InP substrates and 11 were on GaAs substrates, both numbering sequences starting with "InGaAs 1". Growth numbers begining with InGaAs 20 are unique and represent layers grown on InP. 51 21 HB >- GaAs A - 77K -1r- (f) 2 W 21 w u b\ I \a 2 W U (f) W 2 ::> .....J 0 ..... 0 I a.. 700 800 WAVELENGTH FIG. 20. 900 1000 (nm) PL for GaAs Substrates. a) GaAs:Zn, Crystal Specialties #E2652, b) semi-insulating GaAs, Spectrum Technology #13252. 52 energy of the Zn acceptor in these as "undoped"), observed marked emission acceptor been With at 1.37 eV. the moderately sulfur-doped at 1. 39 eV. the peak now located FWHM of 150 meV. reported elsewhere the variation These 1nP:Zn possible high higher substrate considerably shift defect possible has not in energy 1nP resolvable lines was not 1.0 eV. to phosphorus (to 40 meV) , substrate complex. used similar sources #506216, a very to those in this study data, but several emission peaks near investigated. Luminescence are seen in each sub- of this emission. is pro- Substrate #11662 The origin of these #H1669 has broad in this energy V for a more 22 does not 1.40 eV and what Substrate [74,75], demonstrated Figure at 1.33 eV and 1.29 eV. See Chapter seen in at 1.48 eV, and with are quite (b) [73]. substrates vacancies (see curve is clearly from a single manufacturer. resolution also has peaks tributed the band- emission bably band-to-acceptor (Zn) emission at 1.36 eV [50]. sion at about (sold to be donor-to- #H1668 doped n-type spectra Both have band-to-band emission #H1667 These were This latter The Burstein for n-type The two p-type represent 1nP substrate presumed FWHM broadened (c) of Fig. 21 for the highly strate. was observed identified. and was centered broad emission (a) in Fig. 21. at 1.40 eV, and emission of Fig. 21), the emission with in the n-type as curve (or donor-to-band) clearly curve No deep-level substrates. Two peaks were to-band [72]. but quite detailed range is often likely emisat- involves discussion of a 53 :J I LEG InP .... 77K (f) z w .... zw -1r- u z w u (f) w Z - => -I 0 .... 0 :I: 0..700 800 WAVELENGTH FIG. 21. PL for N-type lnP Substrates. 1000 900 (nm) a) lnP, Atomergie #RI667, 18 b) lnP:S, Atomergie #RI668, ND- NA = 10 19 -3 Sumitomo#506216,ND- NA = 10 em . -3 em , e) InP:S, 54 :J 21 LEC InP -(f) 77K . 1r z w z- w u z w u (f) w z- ::> ...J 0 0 :r: Cl.700 800 900 1000 1100 WAVELENGTH FIG. 22. PL for P-type InP #H1669. b) InP:Zn. Substrates. Atomergic 1200 1300 1400 (nm) a) InP:Zn, #1662. Atomergic 55 B. GaAs and InP Undoped Most of the growth of the reactor Epi1ayers parameters were worked necessary out by growing GaAs prior growth of In-containing compounds. here. (These represent the characteristics later InGaAs regarding ample epi1ayers.) growth exists One important samples to GaAs A rectangular The insert growth parameter quartz provided three flow rate (more efficient than the outer quired). VI suggest higher although samples round tube, which for all 24 (i.e. through 7/21/86). for subsequent and 3) was much disassembly samples. gas flow over the grown with crystal easier the rectangular samples. structure These did vary the data in and purity result with InP epilayers to a minor in the rectangular than those in Table insert Also, tube with H2 flow rate as the principal fraction to clean of the end caps was not re- over the substrate. flow velocity and so As delivered, was used 1) near-laminar gas usage), of samples subsequently flow rate was less. growth than that of previous the TMIn mole grown compounds, geometry. 2.4 x 4 em, was used that improved gas velocity in the large higher better for 2) higher gas flow velocities for a given (because The morphology was noticeably Table tube layers used body of literature binary was reactor advantages: rectangular susceptor [76], reported the OGC reactor. 45, InP 26, and InGaAs insert, to attempting of buffer of these to evaluate operation InP data are also is a considerable had a 55 mm diameter prior Undoped and characterization opportunity the reactor There for successful degree. were variable, Most insert benefited VI, even though grown from a the H2 input 56 TABLE VI. Hall Mobility and Resistivity Total Gas Flow Rates. [TMIn] H2 flow rate (l/min. ) x 10-5 InP sample II for OMVPE InP with PH2 (300 K) P (300 K) (cm /Vs) (n cm) 6 2.3 5 1600 0.071 5 1.9 6 2550 0.048 13 2.8 8 4820 0.54 A second subject of concern gas cylinders require frequent with a regulater the toxic evacuation gas sources. observations during in-line). For example, (listed Room temperature line, was a suspicion, data, that Hydrogen were not fitted as was built based the change (despite immediately the presence into on morphology after the growth was poor due to the atmospheric introduced ditions and initially port or N2 purge and Hall mobility the H2 cylinder, was the gas supply purity. change, There Various changing gases of the H2 purifier GaAs 11 and 12 were grown under similar con- below), but the H2 tank was changed Hall mobility prior to GaAs for GaAs 11 was 4050 cm2/vs 12. but only 2 3300 cm Vs for GaAs 12. just prior to growth As a further = 600 °C, [PH3]/[TMIn] = lator after of 4820 a vacuum cm2/Vs. for -5 80, 5 l/min. line and the H2 cylinder mobility Hall mobility InP 2 was grown with the same parameters but the mobility increased to 2660 Immediately the H2 tank was changed of InP 1; the room temperature 2 this sample was 1980 em /Vs. (T example, H2, and [9.12 x 10 ] of TMIn), em2/vs. exhaust changed, Sample numbers port was added to the H2 regu- InP 13 was grown begining with yielding GaAs a 35, InP 13, 57 and InGaAs exhaust. 12 were That A) evacuated, and B) were new is, after B) purged repeated cylinder Table VII shows three groups VII. N2 grade using cylinder, a separate for at least three nitrogen E, with the vacuum the regulator vent, cycles before connecting Hall mobility of GaAs samples. low purity nitrogen Hall Mobility GaAs amO\mts was used for OMVPE process, it was hoped -- (cm ) 300 K (cm /Vs) 77 K 6290 low purity 40 to 52 . . . 118 380 low 53c 8 x 1014 6480 37,700 54 to 62 8 x 1014 4860 70,500 ~ata shown are the averages of about group and represent all data taken. measurable Since that the PL FWHM (meV) Hall mobilitya 2 2710 No PL was the the reactor. 7 x 1016 b during for GaAs. n -3 II concentration group was grown for purging in the growth sample and carrier The middle are of 02 and H20 in each. 1 to 39 UPC the Two types UPC purity was then steps A) was also a concern. the relative the average N2 was not used directly TABLE a new with H2 through of process in Appendix time when installing installed to the reactor. The purity listed grown with hydrogen 13 half of the samples in each on GaAs 48, GaAs 50, and GaAs 51. cGrowth conditi~~s were: T and [2.95 x 10 ] of TMGa. = 700°C, [AsH3]/[TMGa] = 52, 2 limine H2, 58 lower purity as expensive clear type would as the low purity decision during to be made the same troduced. be acceptable. cleaning the low purity that the rectangular the round outer that the O-rings the end caps were sealed. into the reactor the bulk during growth of the improvement to a good reactor seal, in samples insert was being which This allowed for samples prior after a N2 was tried tube just prior of GaAs 53, it was discovered not tightly N2 was ten times as The data do not allow on this, because time period While type.) (High purity to the growth seal this tube to atmospheric to GaAs in- 53. gases While GaAs 53 may have been the use of high purity N2 was continued due as a precaution. The hydride used initially from Phoenix dustry used were GaAs 40 and InGaAs that of GaAs high purity also a concern. The arsine These were the latter vendor gases. and phosphine replaced with was reputed The Phoenix Research 11; the new phosphine gas in the inarsine was was used after InP PL at 77 K for GaAs 11 gave a FtmM of 20 meV, while 36 (new arsine) of H2' with was 15 meV. [AsH3]![TMGa] Both = samples 20. was 10 meV. the same--see Table (Note that the growth l--except that 2 l!min. were grown Regarding 77 K PL for InP 40 gave a FWHM of 15 meV, while (new phosphine) growing because 34 and InGaAs 66. °c in 4-5 l!min. were were from Air Products. Research to produce after phine, sources at 700 the phos- that of InP 46 conditions of these of UPC N2 was used in InP 46.) Because new sources, the best binary material it was concluded was grown that Phoenix after Research changing hydrides to the give the 59 potential of growing growth; too many other the improvement. a half, material. grown weeks Through GaAs in a clean reactor much apart must glove in the center because from the tube walls A similar improvement insert was removed moved improvement was etching taken cleaned insert. unloading, significant in particu- was done covered allowing as insert the substrate re- was con- (With the round fell on the substrate tube, this. to and from the Use of the rectangular loading, from and achieved. and were kept seen during from the insert without was sought glass from the outer drawn reduction were during cleanliness by acknowledging continuing dish, and in gas line clean- The samples of the newly particles in reactor such to quantify of a year 11, all pre-growth in the glove box. mainly study and so any conclusions of this work, box in a covered in this variations be qualified air hood. do not assure over a period on or in the epilayers filtered particles, tained over time, They varied a general 34, InP 6, and InGaAs as possible duced grown Also, the course late contamination were were the inevitable is to be expected samples After parameters Samples and there were and substrate liness high purity material. during when loading.) the entire the sample motion, tube, to be re- vibration, or air movement. The expected direct proportional and group III alkyl partial characterization rates phase, pressure relationship [5] was observed as can be seen in Fig. 23. seen in this study was 0.01 to 0.1 pm/min. ditions were between kept relatively constant early growth in the GaAs The range for GaAs. for InP layers; rate of growth Growth the typical congrowth 60 rate for this material type. No attempt 10:1) [V]/[III] [V]/[III] ratio was 0.05 ~m/min. was made ratios. to grow p-type No extensive or growth All undoped material epilayers using effort was made temperature for the binary were n- low (below to optimize the compounds. The typical literature values [5,77] of [V]/[III] = 20-50 and T = 650-700 °c seemed to be good for GaAs growth. InP required ratio to compensate for P2 evaporation Table I for typical InP growth Good morphology microscopically. tube was cleaned. better crystals improved Pinholes of varying specular. areas ing/rinsing or contamination noted approaching erature those in growth could aGC samples due to polar scattering, deformation purity mobility 13 limit procedures etch- purity be grown with properties The Hall mobility in Fig. The limits potential, dashed concentration 14 of early samples, ] of TMGa) had a low mobility (n impurity line for the ionized 4 l/min. H2' = temp- of mobility and ionized -3 -2 versus 24, along with cm ,while the lowerone represents5 x 10 [1.25 x 10 or poly- and gas source to an impurity 670°C, growth due to poor 5 x 10 = and tube. for comparison. The upper corresponds GaAs 7 (T See but the swirl patterns are plotted sample round observed, samples, routinely high purity [78]. were Occasionally, a well-known are noted II). visually the outer density of very pure material. data for two scattering whenever in the growth GaAs epilayers in Chapter as observed could be seen on inferior the improvements above, obtained, Morphology crystalline With (mentioned [V]/[III] conditions. was generally were a higher of -3 em Typical . [AsH3]/[TMGa] 16 8 x 10 im- = 20, -3 em ). However, 61 OMVPE T -. GaAs = 670°C = [AsH3]/[TMGa] H2 Flow =4 22 l/min. s:: -EE :t. ........ t1.1 E-< 0.05 ::I: 0.04 a c:x: 0.03 0.02 0.01 0.5 1.0 1.5 [TMGa] FIG. 23. OMVPEGaAs GrowthRate. 2.0 2.5 x 10 -4 62 -. " - ~ D£FO~MATION > POTENTIAL. MOBILITY N :IE % --8 - . \' ." / \ ,, > . . }, \ Stillman[78y 105 MOBILITY \ ~. \ . 1'- /// IONIZED IMPURITY. m o MOBILITY ~ ..J ~ /' /' /' / :l > / / 'POLAR Y~ '~/..- . u ~" ~ / / / - ' I ~/ 10." ~ .10 TEMPERATURE FIG. 24. '100 1000 T (K) Hall Mobility for GaAs at Cryogenic Temperatures. 63 -4 GaAs 55 (T = 640°C, 4 l/min.H2, [AsH3]/[TMGa] TMGa, with the benefit of a cleaner growth = 20, [1.5 x 10 mobility behavior of tube, H2 line and arsine source) achieved a 77 K Hall mobility of nearly 105 cm2/vs. the typical ] for later GaAs samples, This was as can be seen in Table VII. Resistivity values were calculated for 25 GaAs epi1ayers, the number of samples for which thickness was measured. Resistivity did not depend critically on growth conditions for the first 40 growths. The average resistivity of these samples was 0.0224 ncm at room temperature, ranging 0.0169 ncm, and 0.02 ncm from 0.007 to 0.03 ncm. (The average at 77 K was ranging from 0.004 to 0.02 r2cm.) GaAs 53 had 0.15 ncm resistivities at 300 K and 77 K respectively. The best quality GaAs epi1ayers, GaAs 54-62, averaged 3 ncm at room temperature (the range was 1-6 A comparison epi1ayers grown (Resistivity ncm of Hall mobility data are also given InP layers were of less consistent and are discussed V.) concentration is presented grown than GaAs layers. in Chapter at 77 K). in Table for the OGC samples.) intermittently quality ncm and carrier at OGC and elsewhere undoped 13. at 300 K, and 0.08-0.4 for InP VIII. Thirty-eight over many months, (InP 18-25 were and were p-type The best of the early samples was InP The last batch, InP 42-5, were uniform and generally an improvement over earlier samples and comparable to recent literature reports [28,31, 34,40]. (The highest reported mobilities [79,80] are often not re- peatab1e [81].) The room temperature mobility values for InP 32-40 were the same as for later samples. However, the liquid nitrogen mobility was 64 TABLE VIII. Undoped OMVPE InP Electrical Characterization Results. Sample Hall mobility 2 300 K (cm jVs) 77 K II or reference Resistivity 2 300 K (em /Vs) 77 K n -3 (cm ) [40] 4260 29,800 . . . . . . 2 x 1015 [41] 5000 70,000 . . . . . . 8 x 1014 [28] 3400 28,500 [31] 3660 . . . . . . . . . 2 x 1016 [34] 3670 4820 13,100 0.54 0.60 2 x 1015 2150 5220 0.20 0.10 1 x 1016 2100 10,000 0.30 0.10 7 x 1015 OGC: InP 13 InP 32-40 InP 42-5 a a a All data are averages of the numbered samples. 65 - 14,000 >. 12,000 "N E 10,000 -0 8000 >..... - ...J - 6000 OMVPE 0 InP 43 m 4000 ...J ...J 2000 <:[ ::r: 0 10 100 1000 TEMPERATURE FIG. 25. about half, Hall mobility for probably due InP 43, in Fig. impurity scattering presumed to contribute strates etched substrates to with n inferior = 8 x 10 most of the themselves phosphine 15 Hall mobility [82]. impurities probably for ionized The TMIn source [40,83]. is The InP sub- less pure than the GaAs ones. yet not unexpected, As the OGe crystal -3 cm source. more slowly than GaAs substrates,and the InP were did not come as easily showed improvements OMVPEInP.. 25, shows the expected and rinsed was disappointing, the (K) that growth of high quality It InP as it did for GaAs. growth for both from GaAs 11 and GaAs 61. "learning curve" GaAs and InP. These samples progressed, PL data Shown in Fig. 26 are data were ditions, except for temperature (GaAs 11: T = grown under similar 755 °e, GaAs 61: T = con- 66 - ::J 21 I -1r- z " OMVPE 1\ GoAs 77K LLJ Z LLJ <..> z LLJ <..> (/) LLJ Z -.J 0 bl I 0- Go As II rr \ , =>1 JMl' 750 800 tV""\J\Jl 850 WAVELENGTH FIG, 26. PL for OMVPEGaAs. GoAs61 900 (nm) 950 67 640 DC). The emission that of GaAs 11. corporation FWHM GaAs of carbon for GaAs 61 is significantly 61 also had very good Hall mobility: at lower growth in comparing these samples [84], quality is improved comparable in these corresponds closely Growth over early samples. the intensity clear, 16 vs. 10 meV. 1.404 bandgap are available which temperatures. data The peaks 27 gives The classic from a variety The effects Recently, Good general [93,94,95]. has been references are centered given at 1.407 eV [57]. references are techniques interest for the growth VI and two samples. is quite eV (InP 46) and of references of InP at various [49,50,73,86]. More recent in [71,72,74-7]. are discussed in Si-implanted [85]. liquid nitrogen are contained treatments eV, which in Tables A variety the photoluminescence of growth at 1.501 is of GaAs at 77 K, 1.5076 close to the reported of heat and surface there are centered of emission and the FWHM difference of 1.4046 discuss be considered the 77 K PL data for these The peaks value should The intensity bandgap is comparable, eV (InP 6), acceptably temperature samples. for InP 6 and InP 46 were Figure Again, temperatures 5090 and it seems clear that the material to the reported parameters I respectively. less than in [87-90]. InP for PETs and characterization [91,92]. of InP are 68 - ::J 21 (f) z I OMVPE InP 77K - I -1r- w u z w u (f) w z ::> I JI , \. InP6 ....J 0 ,I 51 J: Cl.750 800 850 WAVELENGTH FIG. 27. PL for Undoped OMVPEInP. In "- 900 (nm) P 46 950 69 CHAPTERV InP:Mg EPILAYERS As a prelude type layers were reason to the growth grown onto InP substrates. for this approach. established capability ly, information layers about First, reliable regime described ternary, of p-type procedures a number There was more it was desirable for the growth is far from plentiful. Mg-doped of the InGaAs buffer That is particularly Much than one to have a well- for p-type in this chapter. of p- layers. doping Second- of InP epi- the case for the of the material here has now been provided in published form [96]. In considering ceptors as a p-type been used, the possible dopant affect also provides a shallow for providing in InP, it may be noted but is undesirable can adversely elements device in applications performance. monovalent where its high Reported doping here in this semiconductor, on magnesium is a photoluminescence doping However, of GaAs is scanty study of OMVPE and InP:Mg [98,99]. over a wide range. This work of MgIn tions literature diffusivity in the form MgIn' has been reported as being much less mobile than zinc [97]. even the OMVPE ac- that zinc has often Magnesium, acceptor shallow has demonstrated as a shallow forms complexes acceptor, with that, in addition magnesium deep-level at higher flaws. pared to PL data for bulk InP:Mg [100-2], to the expected doping role concentra- The data here can be com- Mg-implanted InP [103], and 70 molecular beam Table rates epitaxial IX gives for Mg-doped depending samples on a par with the surface Figure centrations width [46] derived the CP2Mg input flux, The broken adduct OMVPE technique, mole/min. [97]. of a near-quadratic poration see e. g. emissions [ 97, 104] highly was generally at OGC. During qualitative sample. PL uniformity. Net acceptor correlation in these samples line is a least data from CP2Mg a "typical" slope and Westbrook molar samcon- with PL peak as a function squares work. into the crystal in the flow of 6 x 10-5 to the slope Such a slope flow alone. of fit to the incorporation of 1.82 is similar of Mg incorporation than on CP2Mg molar on is indicative [CP2Mg]/[TMIn] The mechanism of incor- is not postulated here, . doped observed the Mg acceptor seen assuming from the gas phase achieved, Figure 29 shows a log-log plot of the achieved dependence The band-to-band the most from the reported Our power-law Growth for four of the five InP:Mg reference line reproduces of 1.85 in the Nelson rather to demonstrate and the solid data. The morphology PL results concentration per hour were the best GaAs grown (see Chapter III). net acceptor ratio, fraction. IX, and an undoped were for five samples. of 3 or 6 microns was scanned 28 exemplifies pIes of Table [100]. the growth parameters on the TMIn mole good, nearly testing, InP:Mg peak at 1.41 is observed sample. in undoped concentration in all Mg-doped samples, Band-to-band material, was transitions but became increased. resulting in Fig. 26 for all but were the only less significant A peak at 1.37 eV was from conduction band and/or as 71 TABLE IX. Growth Mole InP:Mg Sample II Conditions and PL FWHM for Fractions TMln -5 CP2Mg -8 15 4.1 InP 23 -5 8.3 x 10 -8 4.6 x 10 17 InP 20 -5 4.1 x 10 -8 3.2 x 10 22 InP 25 -5 8.3 x 10 -7 2.3 x 10 25 InP 24 8.3 x 10 -5 1. 2 x Growth temperature 600°C, in the 55 rom diameter 10 4.6 x 10 -7 [PH3]/[TMln] growth tube. InP:Mg. PL FWHM (meV) InP 19 x 10 OMVPE 72 = 80, 8 1/min. H2 72 ENERGY (eV) 1.4 , 1.1 1.2 1.3 1.0 0.9 OMVPE InP 77K w p = B X 1018cm-3 , )-- InP 24 - (/) Z i&J Z. L&J " . II - -- -- p=:3 -- X InP 25 1017 cm-3 U Z I I, I L InP 20 p = 1017 cm-3 i&J Z - .::> ..J_ P=4 X 1016cm-3 InP 23 -U900 1000 1100 WAVELENGTH FIG. 28. PL for OMVPEInP:Mg. 1200 (nm) I 1300 I 1400 73 1019 1018 I I r 101J 1016 I / I I / I r I I I I / r / I / / I I / I I / / . / y I I InP 24 InP 20 InP 23 InP 19 10-4 10-3 10-2 [CP2 Mgl [TMIn 1 FIG. 29. Net Acceptor Concentration [TMIn] Ratio. Solid data from [97]. line, in InP:Mg versus [CPzMg]/ this study; broken l1ne, 74 shallow acceptor IX for each transitions. sample. the polarity were weakly The FWHM of this peak The Mg-doped of thermoelectric n-type. samples were power, whereas The lowest net acceptor is given confirmed "undoped" in Table as p-type control concentration by samples we obtained 16 -3 was 2 x 10 cm ,and no minimum p-type threshold (as reportedby Nelson and Westbrook [97]) There was a shift increased. in the emission For Mg doping observed. Moreover, 1.0 eV, becoming grown dominant at this energy InP:Mg reference, eV emission change the intensity this represents could Since InP:Mg 100], a large shift toward In that work, ++ - + be (Cd. 1.-Cd In ). ++ An explanation to reports - + . InP:Mg [105]. was varied, higher energy transition, near of [103], MBE- In the latter and the 1.30 (50 meV per decade argued that and that the donor (See also [106].) is seen consistently by annealing occur in the dopJ.ngrange 10 occur. sample. it was extensively in InP:Mg (Mg. 1.-Mg In ) at 1.30 eV was centered InP:Cd excitation a deep donor-to-acceptor and is removed doped was appeared be found by comparison of laser and not consistently reports PL band as OMVPE-grown the 1.3 eV emission the transition cited additional might concentration 1017 cm-3, a peak for the highest [100], as well showed as acceptor (at 77 K) from ion-implanted in excitation). complex exceeding a broad for the 1.30 eV emission emission was observed. in ion-implanted grown by other [103], I postulate techniques [97, that it represents - MgIn . 17 18 That ~ -10 -3 em and that the concentration this emission only begins to is consistent with the above of MgIn must be high for it to 75 There is more 74,74,100,103]. complex literature discussion All authors involving attribute a phosphorus this defect have included iron [74] to support this emission vacancy. InP with high impurity content [75]. have no evidence of the 1.0 eV peak This is seen in InP to an impurity in In-rich sion only phosphorus cies. vacancies and copper [70]. identification appears in the highest over-pressure As noted nominally are involved, in Table undoped. during LPE The impurities identified with In our case, we of the impurity other to assume it is MgIn, with the transition being (Mg~n-Vp)+ phosphorus [70, ~ than MgIn' If then the fact that the 1.0 eV emis- doping growth levels is sensible is maintained V, the substrates for these since to prevent samples a vacan- were 76 In This chapter epi1ayer growth portion discussed matched at An unexpected in detail. data and the Finally, are describe those at are samples of this absorption, important InGaAs/GaAs in InGaAs/lnP presented for Hall with properties defect mobility, both is 1attice- various for InGaAs The first including characterization results of the OGC. growth, In 1 -x Ga xAs/lnP for aspects was found optical given several ternary defect range, Next, InGaAs/lnP. data of undertaken efforts composition resistivity These discussion early results. a wide Ga As x and characterization discusses growth over presents 1-x and x values. cryogenic and room temperatures. As mentioned occurs in Chapter by a parasitic a white polymer which of this reaction is proper growth first step grow ternary These would layers not small. InGaAs reactor tube a loss of TMIn as compared reaction of TMIn with PH3. deposits on the of the the major conditions towards II, for finding unknown walls factor lattice-matched the correct on GaAs substrates be lattice-matched in the ternary [TMIn]/[TMGa] with to GaAs, 9, 10, and 11 were all This to TMGa reaction reactor. The extent determination input The value percentage but mismatch grown in the of material. a small the forms was to of In. would be 55 mm diameter -4 with 5 l/min. of TMGa, and [Z.Ol x 10 -5 HZ' T = 675°C, ] of TMIn. [V]/[III] = A one micron buffer 20, [1.80 layer x 10 of GaAs ] 77 was grown prior to the InGaAs composition near too large. The value ternary would InO.lGaO.9As 0.9 was chosen separate PL data from all three sample 1.384 a 20 meV FWHM. variation i.e., x = -0.538 Thus is shown with meaning no parasitic The peak the formula TMIn purposes, constant. radically; were loss above, factor of the identical. is centered 1/2 ,one A at input was equivalent be 0.53/0.47 calibration, could be expected flow rates, certainly = deduces that x = 1.13 [55], 0.92. to 10%, reaction. To assuming a 20% loss of TMIn. that 20% of the TMIn the temperatures, and that factor would were not for the In l-xGaxAs to 1.36 assuming is a reactor-dependent A different same equipment would but increases described effects so that the PL peak 30. - 0.544) the required reaction, give a at 77 K given by Wu and Pearson [TMIn]/[TMGa] The calibration OMVPE g reaction that 20% of the TMIn was lost to the parasitic grow InO.53GaO.47As, growth Using + 0.943(2.l2E would at 77 K were nearly in Fig. composition to get 8% indium, parameters from the GaAs peak. samples representative bandgap These if the parasitic = of x be clearly eV, with growth. is lost for not a universal even with etc., be different the to be changed using another facility. In fact, severe the loss factor than estimated InP substrates as deduced required with x close above, a ratio scientific above, those when out to be considerably In l-xGa xAs layers were to 0.47. Rather layers nearest slightly calibration turned in excess were than grown onto [TMIn]/[TMGa] to lattice-matching of 2:l! more onto The best laid plans thus frustrated--but = 1.36 InP for a the indium-to-gallium 78 OMVPE InGoAslO 77K -. -ci ::J --1 I- en z LLJ IZ LLJ U Z LLJ U en LLJ Z => ...J 0 I- 0 I CL 600 800 1000 WAVELENGTH FIG. 30. PL for the InGaAs 10 at extent of the 77 K. 1200 (nm) This epi1ayer TMIn + PH3 parasitic 1400 was grown reaction. to test 79 ratio was eventually determined The morphology appearance reduction lattice of the InGaAs/GaAs to GaAs temperature on quite layers. and 2680 epilayers Hall mobility cm2/Vs mobility was good, similar 3700 em2/Vs temperature. may be explained The minimum grounds. averaged at liquid nitrogen at low temperatures mismatch. empirical in at room The by the significant for these samples was 2500 2 em /Vs at 100 K. Early the above ranging InGaAs ternary TMIn depletion was obtained grown with [TMIn]/[TMGa] of these The highest samples, of InGaAs energy peak is the band-to-band (if present as involving 53 shown until As can be noted between in Fig. optical Typical 31. Three emission of samples (InGaAs later were 29-57). of these was the peaks are present. was so broad data was = 2, but no PL the lowest that it was not in Fig. which all, Two samples, 1.60 and 1.77 absorption deep-level series was usually This samples The two large peaks one or more An extensive (#1), which transition. layer, [TMIn]/[TMGa] PL was obtained. at all) in most transition pretation. between buffer good luminescence.) then grown near from them either. 77 K spectrum bandgap on an InP OMVPE in obtaining 27 and 28, were For most on the (Most, but not grown employed 1-26) based from 1.1 to 1.6, but showed no PL at all. were estimate (InGaAs of [TMIn]/[TMGa] to be important InGaAs on InP substrates values samples found samp1e~ in intensity, and weak interpreted suggested as the that inter- 31 (#2 and #3) came to be seen defects. in Fig. 31, there was no variation in energy either deep-level emission with varying laser excitation. of If the tran- 80 /12 I OMVPE InGaAs 53 77K = Laser Current - /13 ~ -o >I- - fJ) Z UJ I- Z UJ (.) Z UJ (.) fJ) I , UJ Z = 20.5A ~ :) -I e le :I: a.. 111 1500 1600 WAVELENGTH FIG. 31. 1700 1800 (nm) Variation of InGaAs Defect PL with Excitation Light Intensity. 81 sitions shift were donor-to-acceptor, toward The defect buffer higher PL spectrum layers. InP:S InP:Fe was present substrates. 65) was analyzed substrate clearly too high, marized in Table for samples An impurity by SIMS. concentrations These given Values in this table of the concentration versus depth were the substrate, while and surfaces. Within about of two, no significant were a factor observed between InGaAs "standard", No Hg-imp1ant tally spurious. tope, since in III-V materials, tion standard Perhaps listed in InGaAs is interpreted on both the Sumitomo suspected, data were and a sample compared to both the by the SIMS analysis represent were graphical differences averages Measured or within at the interfaces of the SIMS analysis, 65 and either D. the epi1ayer observed are The data are sum- in Appendix within was available, the "Hg" signal in both epi1ayers represent which in impurity the InP:Fe was levels substrate or the the most so the Hg is probably tracked an As-containing and low in both common to its substrate as an indication that the defect toiso- substrates. and expected and the lack of any significant 65 as compared than an impurity. and without OSU 1-29-7-86. it is high The elements constant transients InGaAs was data given concentrations the accuracy grown for comparison. X. large grown with [107]. sample OSU 1-29-7-86. but they are useful generally to see a measurable of Zacks and Halperin for samples and the MBE-grown The elemental expect from the theory and was present and InP:Fe (InGaAs energy one would contaminants impurity concentra- or the "standard" is structural InGaAs rather 82 TABLE x. SIMS Results for MBE and OMVPE InGaAs/InP. Element MBE -EpilayersOSU 1-29-7-86 OMVPE InGaAs 65 -Substrates OSU 1-29-7-86 InAsAs 65 C 2 x 1017 2 x 1017 1 X 1017 1 x 1017 0 3 x 1017 3 x 1017 5 x 1017 3 x 1017 Na 1 x 1015 2 x 1015 1 x 1015 4 x 1015 Mg 1 x 1016 8 x 1015 4 x 1015 4 x 1015 A1 4 x 1017 4 x 1017 2 x 1017 2 x 1017 Si 4 x 1016 4 x 1016 4 x 1016 2 x 1016 S 4 x 1015 5 x 1015 6 x 1016 1 x 1019 C1 4 x 1016 6 x 1015 4 x 1015 3 x 1015 Cr 2 x 1016 3 x 1014 3 x 1014 5 x 1015 Fe 6 x 1016 4 x 1016 2 x 1017 3 x 1016 Ni 3 x 1016 1 x 1015 2 x 1015 7 x 1015 Cu 9 x 1017 2 x 1018 2 x 1018 Zn 4 x 1017 6 x 1017 6 x 1017 3 x 1018 Ag 8 x 1016 2 x 1017 2 x 1017 2 x 1017 W 2 x 1018 2 x 1018 3 x 1017 2 x 1018 Hg 4 x 1021 6 x 5 x 1019 2 x 1021 1018 83 The defect was present tainable. These samples in all samples are listed in Table and intensity of each of the three PL peaks Table XI data (with corrected Here, the data from two Ga-rich nearly lattice-matched with varying amounts from this figure: approached sample is highest for the In-rich increasing linear trend parasitic is assumed scribed sample, Several and become and a features samples); sample, reduction can be identified is for the In-rich in lattice-matched and 3) a linear emerge as lattice-matching one peak to be due to variation 0.69-0.70 at and of the bandgap (variation from a in the amount of the is not as broad Iron impurity-related Of the 16 InGaAs substrates. 54 had very of the emission defects samples InGaAs defect" as in those Of these, The most eV has been observed in InGaAs before, de- as an "intrinsic here 32. in Fig. 32. reaction). only intensity, is given of the to show how the PL changed peaks merge resolvable ob- the energy A distillation for the lattice-matched sample; [TMIn]/[TMGa] Emission InGaAs [TMIn]/[TMGa]. are sometimes 2) the PL intensity with of input side, seen. one In-rich are reproduced PL data were XI along with intensities) samples, 1) the two defect (two peaks lowest PL peak sample from the Ga-rich from which reports, While in Table XI, 3 were 65 had much 53 had slightly low emission in each of these above larger average intensity. samples that can be said regarding the PL observed the defect may be related. have also been observed listed InGaAs [108,109]. in InGaAs grown on Fe doped than average emission The spectral correlated with the Fe doped [109]. emission intensity, and distribution that of Fig. substrate as a 84 TABLE XI. InGaAs PL Peak Energies for OMVPE In Peak fI1 [TMln] [TMGa] Energy Intensity (eV) (a) Sample /I l -x Peak Energy (eV) Ga As. x Peak /12 Intensity (a) Energy (eV) /13 Intensity (a) 39 1.60 0.816 63 0.775 177 0.756 115 40 1.70 0.820 25 0.731 263 0.710 300 41 1.70 0.813 50 0.732 431 0.708 269 42 1.60 0.821 53 0.794 44 0.775 28 43 1.60 0.827 13 0.719 438 0.695 363 44 1.65 0.816 44 0.754 311 0.730 255 46 1.63 0.818 59 0.786 56 48 1.72 0.820 80 0.738 55 0.718 70 49 1.72 0.816 11 0.734 24 0.718 16 53 1.72 0.810 63 0.750 313 0.735 288 54 1.74 0.810 14 0.780 18 55 1.75 . . . . . . 0.750 119 58 2.05 0.795 56 0.737 1000 59 2.09 0.777 18 0.734 27 O.704 15 62 2.19 0.787 19 0.734 110 65 2.07 0.787 325 0.742 4350 0.729 2500 alntensity values are relative to: 1.5 mm slit width, 5000 gain, 10 mV lock-in, 26.5 A laser, Si filter, 10 V full scale on X-Yo In most cases, the FWHM was not resolvable. -5 Growth conditions were: [9.23 x 10 ] of TMln, [V]/[III] 55 except for InGaAs 39 and 40 in which 30 was used, T = 650°C for InGaAs 41- = 57, T = 630°C for InGaAs 39-40, T = 600°C for InGaAs 58-66, no InP buffer was grown on InGaAs 47 & 49, a 2 pm buffer was grown on InGaAs 53, one micron buffers were grown on all others, 4 l/min. H2 flow was used in the rectangular growth tube. 85 -. ~ o OMVPE Inl_XGoXAs 77K ~ to(/) Z ILl tZ ILl U Z ILl U (/) ILl Z :E ::) I o t- O ::L Cl. 1.6 1.7 1.8 1.9 2.0 2.1 2.2 INPUT FIG. 32. Variation of In ! -x [T MIn] [TMGo] Ga As PL x withx. 86 contributor diffusion grown Peak activated an emission peak heights #2 was always significantly 40. This than InGaAs increase in peak #2 intensity due to recombination condition in Table XI. level defect the low energy There deviation because not #3, with lower temperature [V]/[III] ratio were otherwise significantly data to variability the same. a large instead technique light in surface in the data were not available enough (630 of the laser Variation layers were not thick of (30:1 versus 40 may surface-sensitive thickness. absorption consistent. the exception and the fact that most was some suspicion that the ternary to InP. is given by Figs. MBE sample, might However, peaks were for this to measure a in regime. LPE material shown, which 0.41. is that Fe in samples 41, or InGaAs PL is a very contributed from two InO.53GaO.47As dard" layers ratio may have caused for InGaAs from lattice-matching the case denotes [V]/[III] mechanisms Corroborative lower conditions in less than one micron may have than at a slightly a somewhat and/or as an anomaly. is absorbed higher 41, but growth temperature be regarded of the two defect sample was grown 650 °C) and with The higher not InGaAs that was also present The relative °c versus deep PL seen in these on this type of substrate. InGaAs 55:1) to the deep-level 33 and 34. samples reported Striking evidence that this Figure 33 shows 77 K PL data not grown by OMVPE. by Pearsall OSU 1-29-7-86. Also, be taken as indicating the coincident defect was due to a [56], while Of these, 300 K PL data in Fig. (a) (b) is the "stan- data from InGaAs65 an In-rich is are composition of x 34 for the same = 87 :J 21 InO.53Go0.47 As I 77K en z w z- -1r- w u z w u en w -z ::> ....J 0 0 :I: a.. 1500 1600 WAVELENGTH FIG. 33. 1700 1800 (nm) PL for InO.53GaO.47As at 77 K. a) data from Pearsall [56], b) OSU 1-29-7-86, c) InGaAs 65. 88 ::3 I InO.53GaO.47As 300 K >-1 (f) z w z -1r- w u z w u (f) w z - ::> -1 0 0 J: a.. 1500 1600 WAVELENGTH 1700 1800 (nm) FIG. 34. PL for InO.53GaO.47As at 300 K. a) data from Pearsall [56], b) OSU 1-29-7-86,c) InGaAs 65. 89 three samples support the conclusion that all of these layers are lattice-matched. As a further 65 was analyzed Within test for lattice-matching, by AES. the experimental same composition derive We must the OMVPE InGaAs/InP t ch samples study was made tion by optical [TMIn]/[TMGa] is of the that was used to The accumulated that structural which evidence to x and hence defects thus to are present are not due to impurities of composition absorption. were measured in a log-linear bandgap then conclude of in Fig. 35. (2%), this sample (i.e. the sample in Fig. 35). of InGaAs in or lattice alone. Further samples scale are presented of the method Fig. 32 for the scaling bandgap. misma error results as OSU 1-29-7-86 the vertical confirms These the composition plot The absorption at 10 K. bandgap coefficients Data from four of these in Fig. 36. was obtained through The steepest for lattice-matched determina- of eleven are presented drop in a below samples. The value the of a rose -1 to about 6000 em near The bandgaps 37, along with the bandgap, determined the bandgap was band-to-band are shifted 20 meV higher rect for the increase 77 K to 10 K [56]. are underlined Absorption by absorption found PL emission regardless by PL of composition. at 10 K are plotted (assuming the highest emission). In this figure, than the actual 77 K measured in bandgap Five samples expected were when tested InGaAs in Fig. energy the PL data value to cor- is cooled by both methods, from and these in the figure. gave somewhat more reliable data for these samples. 90 100 90 I OMVPE InGaAs 65 BOr 70 r- z UJ u a: UJ DU 60 50 H c ..... 40 et 30 20 10 DEPTH FROMSURFACE (A) FIG. 35. AES Profile for InGaAs 65. 91 20,000 10,000 I I OMVPE In'_XGaxAs IOK 9000 8000 7000 - - 6000 E 5000 I -u 4000 tS 3000 . . . I I /J J I 1000 0.70 . I , 2000 I . I ,6InGoAs InGoAs 65 X=0.47 0.75 InGoAs 53 X=0.51 0.80 57 X = 0.50 0.85 Energy FIG. 36. 0.90 0.95 (eV) Absorption Coefficientfor OMVPE In 1 Ga As at 10 K. -x x 1.00 92 0.90 - OMVPE InGaAs Sample Given ~ Opt ical Absorption at 10 K 6 Highest PL Energy at 77K + 20 meV - . >CD o _ 0.85 c CL <I C) o Z <I m o LaJ 0.80 r<I -r:E 28 CJ) LaJ 0.75 2.3 2.2 2.0 2.1 1.9 1.8 1.7 1.6 [TMIn] INPUT RATIO [TMGa] FIG. 37. Bandgap Estimates Ratio. for OMVPE InGaAs vs. [TMIn]/[TMGa] 93 This is particularly the a data are quite line of best 2.0 < [TMIn]/[TMGa] seen in the range orderly, fit is drawn yet the PL data are scattered. through the absorption the two methods suggest are not lattice-matched moved from their mismatch, while different substrates, PL samples are still was obtained -0.948). The a samples attached that are re- due to lattice to their substrates. of this effect.) for samples with E (10 K) g = 0.81 eV which corresponded to an input [TMIn]/[TMGa] ratio of 2.0 [56,59], The flattening values of the absorption may be evidence tion of the parasitic quantify data curve of increased at high depletion reaction--but [TMIn]/[TMGa] of [TMln]--an there are not enough acce1era- data to this. The growth conditions Fig. 37 are given fully = a straight for compositions and so have no strain (See Kuo et a1 [110] for a discussion Lattice-matching bandgaps is not unreasonable. A curved data, while least-squares fit line seems adequate for the PL data (r That < 2.1, where removed these were in Table from InGaAs taken with and PL peak energies XI. Note for the samples that the substrate 27 and InGaAs could not be 50, so the absorption the InP substrate, in data for and its effect was subtracted out. The InGaAs/lnP matched samples, epi1ayers spots. InGaAs good morphology. such as InGaAs 65, were highly grey haze was present ticu1ar1y had mostly on samples 28, 57, and 60. which were not InGaAs The 1attice- reflective. A light lattice-matched, 27 and 56 had large par- dark grey 94 A comparison InGaAs can be made 65 and the "standard" of the 10 K absorption InO.53GaO.47As As can be seen in Fig. 38, these 86. dicating ature lattice-matching for MBE sample, OSU 1-29-7- data are quite for the OMVPE InGaAs a data are given coefficient sample. in the figure close, again Comparable also [69]. in- low temper- The near-band- -1 gap peak absorptionof 5800 cm for InGaAs 65 is the same as the (For the sample in [69], Zielinski et a1 value. mated to be 0.82 eV rather ditional range reports; data Figure [69], labelled [Ill], (b), and of Burkhard appear to be too high, error. Above in either and a(lO [112] or InP splitting was not observed [113]. as those et al room of Humphreys The Burkhard of a thickness Above et al et al data measurement in InGaAs as it does 1.3 eV, the curves a(300 (= at (E 0.35 Enhanced g+ eV 0.1 mm or the temperature of the unknown is not explored either with lowered ~), for where ~ K) occurred of Humphreys here. [114]) at 0.1 eV et aI, but No strong the monochromator to 7 K, perhaps denotes InO.53GaO.47As absorption for both our data and those was observed Absorption spectrum parameter the cause of this absorption presence the result in this study. the bandgap absorption (a), as well a does not rise as fast in the absorption spin-orbit above the Zielinski K) merge. A step the 39 shows are two ad- 65 is over a broader et al [61], (c). perhaps the bandgap, GaAs At 300 K, there but the data from InGaAs than any of those. temperature than 0.81 eV.) the bandgap was esti- exciton slits narrowed because to of the defect. data at 300 K for InGaAs samples of varying composition 95 1nO.53 GOO.47As 10,000 r t;,. -I - l- /:). I . E () I t1 1000 /:). " . .. L_-Zielinski et 01 [69]. . InGoAs65, 0.75 0.80 0.85 Energy FIG. 38. Near-bandgap Absorption Coefficient 10K 1-29-7-86, /:). OSU 100 0.70 5K 0.90 0.95 (eV) for InO.53GaO.47As. 10K 1.00 96 100,000 InO.53 G00.41 As 300K ~ 10,000 I E u 1000 . 100 0.7 0.8 0.9 1.0 1.1 Energy FIG. 39. Absorption Coefficient a) data from Zielinski Humphreys et al [111], [61], data points are I.2 I.3 1.4 I.5 (eV) for InO.53GaO.47As at 300 K. et al [69], b) data from c) data from Burkhard et a1 InGaAs 65 from this study. 97 are shown in Fig. 40. a, regardless fortunate parameter large which lattice that the energy scale InGaAs/InP that the absorption could be measured samples were coefficient reliably the same on this fig- energy range. ambiguous, it was turned on samples out to be a with relatively mismatch. Absorption Fig. Note had nearly than that of Fig. 36, to show the higher the PL data for OMVPE indeed 1.0 eV, all samples of composition. ure is broader Since Above data were 41, for sample also taken at 77 K. InGaAs K data for all samples, and 2) less structure 59. except above An example Data at 77 K were appears coincident for 1) a 20 meV shift near the bandgap in with 10 the bandgap, (e.g. no threshold at E g + 0.1 eV). The Hall mobility grown was measured on semi-insulating InP substrates. measurement for all such InGaAs and carrier concentration and the OGe samples. light of the brief mobility, but still The best InGaAs which compare sample this sample, a log-log in Fig. 42. The growth those for InGaAs samples.) Table The OGe results time available Samples (Poor contacts for the best samples ture, techniques. for some of the InGaAs XII lists Hall mobility reported obtained 65 (as listed in InGaAs have much InP and GaAs vs. temperature for this sample were in Table II), except growth reduced at 300 K. in this study was InGaAs plot of Hall mobility conditions in the litera- to develop are not lattice-matched with prevented are encouraging (six months) favorably epilayers. 66. For is given the same as that at the end 98 100,000 OMVPE In l-xGoxAs 300K InGaAs62 X = 0.46 InGa 10,000 As 59 X=0.47 - I E u InGaAs 53 X=0.51 1000 InGaAs 60 X= 0.475 100 0.7 0.8 0.9 1.0 Energy FIG. 40. 1.1 I.2 I.3 1.4 I.5 (eV) Absorption Coefficient for OMVPE In l -x Gax As at 300 K. 99 100.000 OMVPE loGo As 59 77K 10.000 - I -E ,I u tS L I I I I I I I I 1000r 100 0.7 0.8 0.9 1.0 Eneroy FIG. 41. 1.1 1.2 1.3 1.4 1.5 (eV) Absorption Coefficient for InO.S3GaO.47As at 77 K. 100 TABLE XII. Hall Mobility and Carrier Concentration for In1_xGAs/lnP. Sample/Reference Hall Mobility 300 K Lattice-matched (x = (cm2/Vs) n -3 (cm ) 77K 0.47): Pearsall et aI, Thomson/CSF [115] 10,000 26,500 1 x 1016 Goetz et aI, Thomson/ CSF [59] 10,400a 43,400a 4 x 1015 79,000 8 x 1014 64,000 5 x 1014 Saxena Carey et aI, HP et aI, HP [116] 10,600 [117] . . . OGC: InGaAs 65 6500 7600 2 x 1015 InGaAs 66 9000 26,500 6 x 1015 Not lattice-matched (x = 0.49): OG: InGaAs 47 3000 4000 1 x 1016 InGaAs 50 5300 10,600 5 x 1015 a average of four samples. 101 40,000 OMVPE 30,000 In GoAs 66 -. 20,000 U) > ....... N - E u :I: :1.. 10,000 8000 L 40 60 80 100 TEMPERATURE FIG. 42. 200 300 400 (K) Hall Mobility for OMVPE InO.53GaO.47As. 102 of the buffer layer begin growth, ternary 600 °c within temperature reduce fell below phosphorus = was reduced to the final growth to 450°C to temperature of The PH3 flow was maintained 500°C. evaporation The purpose epilayers to the resistivities 0.315 Q em, and for InGaAs until of this procedure from the buffer for the InGaAs/lnP at 300 K, similar InGaAs 65, P the temperature then raised two minutes. Resistivity 0.4Qcm growth, the was to layer. was typically obtained 0.1 to for InP. 66, 0.113 Q em. For 103 CHAPTER VII CONCLUSIONS growth of the III-V compounds InP, GaAs, and InGaAs Epitaxial using OMVPE each. Factors provements influencing of GaAs, based sources Magnesium InP in addition depends though Also, InP crystals reflected for measuring the absorption for energies 10 larger The final of imof series of material of this work has been trimethy1- showed new and interesting several shallow to 10 mechanisms on composition, coefficient defect acceptor. complexes Mg doping in was ac- cm absorption of optical edge clearly of Mg incorpora- 19-3 the optical The strength the absorption the quality growth with at least two deep level to the expected strongly With the quality thrust of OMVPE 16 developed. which formed reports discussed. purity, approached 50 samples few. over the range Methods were which in at least improved. The primary for which of Mg doped photoluminescence . comp11shed progressively InP, and InGaAs have been A series tion. and source material in the literature. the ternary, resulting the growth have been of each compound of growths reported accomplished, in technique epi1ayers with has been coefficient absorption of InGaAs is not a parameter as seen in the data here shifts with becomes composition independent (a1- change). of temperature than 1.3 eVe Optical absorptionproved useful in demonstratingthe growth of 104 lattice-matched InGaAs/lnP. This was supplemented scence and AES characterization. InGaAs layers did not depend and electrical InGaAs when This properties grown study has shown by OhVPE. deficiencies strongly retaining should the economies of the morphology improved epitaxial device The data presented provide properties on composition, that InGaAs and optical in the OMVPE photolumine- dramatically for was achieved. process; MBE-, LPE-, and VPE-grown material. techniques the optical did; Hall mobility lattice-matching for both electrical While with material layers applications of good quality can be readily here does not indicate favorable comparisons inherent are made to Further refinement of growth of even higher perfection while of scale and the relative simplicity of OMVPE. 105 REFERENCES [1] V. Narayanamurti, "Artificially structured thin-film and interfaces," Science 235, 1023 (1987). materials [2] F. Capasso, K. Mohammed, and A. Y. Cho, "Tunable barrier heights and band discontinuities via doping interface dipoles: an interface engineering technique and its device applications," J. Vac. Sci. Technol. B 1, 1245 (1985). [3] P. D. Dapkus, "Metalorganic chemical vapor Rev. Mater. Sci. 1l, 243-69 (1982). deposition," Ann. [4] Proceedings of the Third International Conference on Metalorganic Vapor Phase Epitaxy, edited by G. B. Stringfellow, J. Cryst. Growth 12 (1-3)(1986). [5] M.J. Ludowise, "Metalorganic semiconductors," J. Appl. chemical vapor deposition Phys. 58, R3l (1985). of III-V [6] G. B. Stringfellow, "OMVPE growth of III-V semiconductors," in Semiconductors and Semimetals, Vol. 22A, edited by W. T. Tsang (Academic, New York, 1985) pp. 209-60. [7] S. D. Hersee and J. P. Duchemin, deposition," Ann. Rev. Mater. "Low-pressure chemical vapor Sci. 1l, 65-80 (1982). [8] G. H. Olsen and T. J. Zamerowski, "Vapor-phase growth of (In,Ga)(As,P) quaternary alloys," IEEE J. Quantum Electron. QE-17, 128 (1981). [9] R. H. Moss and J. S. Evans, "A new approach to MOCVD GaInAs," J. Cryst. Growth 55, 129 (1981). of InP and [10] H. M. Cox, "Vapor levitation crystal growth," J. Cryst. in epitaxial epitaxy: a new concept Growth 69, 641 (1984). [11] R. Solanki, C. A. Moore, and G. J. Col1ins, "Laser-induced chemical vapor deposition," Solid State Technol. 28, 220 (1985). [12] J. J. Yang, R. P. Ruth, and H. M. Manasevit, "Electrical properties of epitaxial indium phosphide films grown by meta1organic chemical vapor deposition," J. App1. Phys. 52, 6279 (1981) -- 106 [13] H. M. Manasevit and W. 1. Simpson, "The use of metalorganics preparation of semiconductor materials," J. Electrochem. 120, 135 (1973). in the Soc. [14] Proceedings of the First International Conference on Metalorganic Chemical Vapor Deposition, edited by J. F. Bonfils, S. J. Irvine, and J. B. Mullin, J. Cryst. Growth 55 (1981). [15] Proceedings of the Second International Conference on Metalorganic Vapour Phase Epitaxy, edited by J. B. Mullin, J. Cryst. Growth 68 (1)(1984). [16] B. J. Baliga and S. K. Ghandhi, "Growth and properties of heteroepitaxial GaInAs alloys on GaAs substrates using trimethylgallium, triethylindium, and arsine," J. Electrochem. Soc. 122, 683 (1975). [17] B. J. Baliga, R. Bhat, and S. K. Ghandhi, "Composition dependence of energy gap in InGaAs alloys," J. Appl. Phys. 46, 4608 (1975). [18] C. B. Cooper, M. J. Ludowise, V. Aebi, and R. L. Moon, "The organometallic VPE growth of GaAs l Sb using trimethylantimony and -y y Ga l-xIn xAs using trimethylarsenic," J. Electron. Mater. -9, 209 (1980). [19] J. P. Noad and A. J. Springthorpe, by organometallic pyrolysis Mater. ~, 601 (1980). "The preparation for homojunction of Ga l-xInxAs LEDs," [20] R. Dupuis, R. Lynch, C. Thurmond, and W. Bonner, by MOCVD," Proc. SPIE 323, 131 (1982). J. Electron. "Growth [21] T. Fukui and Y. Horikoshi, "Properties of InP films grown OMVPE method," Jpn. J. Appl. Phys. 19, L395 (1980). [22] M. Ogura, MESFET of InP by K. Inoue, Y. Ban, T. Uno, M. Morisaki, and N. Hase, "InP grown by MOCVD," Jpn. J. Appl. Phys. 21, L548 (1982). [23] M. Ogura, M. Mizuta, N. Hase, and H. Kukimoto, "Deep levels grown by MOCVD," Jpn. J. Appl. Phys. 22, 658 (1983). [24] E. P. Menu, D. Moroni, J. N. Patillon, T. Ngo, "High mobility of two-dimensional electrons heterostructures Growth~, grown by atmospheric 920 (1986). in InP and J. P. Andre, in Ga l-xIn xAs/InP pressure MOVPE," J. Cryst. 107 [25] J. S. Whiteley and S. K. Ghandhi, "Factors influencing the growth of GaO.47InO.53As process," [26] on InP substrates J. Electrochem. using the metalorganic Soc. 129, 383 (1982); characterization of GaO.47InO.53As triethylgallium, triethylindium, "Growth and films on InP substrates and arsine," 130, 1191 using (1983). K. Carey, "OMVPE growth and characterization of high purity GalnAs on InP," Appl. Phys. Lett. 46, 89 (1985). [27] K. T. Chan, L. D. Zhu, and J. M. Ballantyne, "Growth of high quality GaInAs on InP buffer layers by MOCVD," Appl. Phys. Lett. 47, 44 (1985). [28] A. Mircea, R. Azoulay, L. Dugrand, R. Mellet, K. Rao, and M. on InP epitaxy Sacilotti, "Metalorganic InP and In Ga l As PI x at atmospheric pressure," J. Electron. -x y -y Mater. 13, 603 (1984). [29] B. I. Miller, E. F. Schubert, U. Koren, A. Ourmazd, A. H. Dayem, and R. J. Capik, "High quality narrow GaInAs/lnP quantum wells grown by atmospheric organometallic vapor phase epitaxy," Appl. Phys. Lett. ~, 1384 (1986). [30] M. Sacilotte, A. Mircea, and R. Azoulay, "InP growth by OMVPE," J. Cryst. Growth 63, 111 (1983). [31] M. D. Scott, A. G. Norman, and R. R. Bradley, "The characterisation of Ga l-xIn xAs, Al l-xIn xAs and InP epitaxial layers prepared by metal organic chemicalvapour deposition,"J. Cryst. Growth 68, - 319 (1984). [32] D. Wake, A. W. Nelson, S. Cole, S. Wong, I. D. Henning, and E. G. Scott, "InGaAs/InP junction field-effect transistors with high transconductance made using metal organic vapor phase epitaxy," IEEE Electron Device Lett. EDL-6, 626 (1985). [33] K. Fry, C. Kuo, R. Cohen, and G. Stringfellow, "Photoluminescence of OMVPE GaInAs," Appl. Phys. Lett. 46, 955 (1985). [34] C. Hsu, R. Cohen, and G. Stringfellow, "OMVPE growth of InP using TMI," J. Cryst. Growth 63, 8 (1983). [35] C. Hsu, R. Cohen, and G. Stringfellow, "OMVPE growth of InP using TMI," Proc..Electrochem. Soc. 83-13,193 (1983). [36] C. Hsu, R. Cohen, and G. Stringfellow, "OMVPE growth of InP using TMI," J. Cryst. Growth 62, 648 (1983). 108 [37] C. Kuo, J. Yuan, R. Cohen, J. Dunn, and G. Stringfellow, "OMVPE growth of high-purity GaInAs using TMI," Appl. Phys. Lett. 44, 550 (1984). -[38] C. Kuo, R. Cohen, and G. Stringfellow, J. Cryst. Growth 64, 461 (1983). "OMVPEgrowth of GaInAs," [39] C. P. Kuo, R. M. Cohen, K. L. Fry, and G. B. Stringfellow, "Characterization of GaxIn l -xAs grown with TMIn," J. Electron. Mater. ~, 231 (1985). [40] S. Bass, C. Pickering, and M. Young, "MOVPEof InP," Growth 64, 68 (1983). [41] S. Bass and M. Young, alloys grown using reactor," J. Cryst. J. Cryst. "High quality epitaxial InP and indium TMI and phosphine in an atmospheric pressure Growth 68, 311 (1984). [42] S. J. Bass, S. J. Barnett, G. T. BrownN. G. Chew, A. G. Cullis, A. D. Pitt, and M. S. Skolnick, "Effect of growth temperature on the optical, electrical and crystallographic properties of epitaxial indium gallium arsenide grown by MOCVDin an atmospheric pressure reactor," J. Cryst. Growth~, 378 (1986). [43] S. J. Bass, M. S. Skolnick, H. Chudzynska, and L. Smith, "MOCVD of indium phosphide and indium gallium arsenide methylindium-trimethylamine adducts," J. Cryst. 221 (1986). using triGrowth 75 [44] R. F. C. Farrow, "The evaporation of InP under Knudsen (equilibrium) and Langmuir (free) evaporation conditions," J. Phys. D: 2, 2436 (1974). [45] T. S. Moss, Optical Properties York, 1959), p. 13. of Semiconductors, (Academic, New [46] T. P. Pearsall, L. Eaves, and J. C. Portal, "Photoluminescence and impurity concentration in Ga In l As PI alloys latticex -x y -y matched to InP," J. Appl. Phys. 54,1037 (1983). [47] Handbook of Optics, edited York, 1978), p. 14-40. [48] E. D. Towe and T. J. by W. G. Driscoll Zamerowski, "Properties (McGraw-Hill, New of Zn-doped p-type InO.53GaO.47As grown by vapor phase epitaxy (VPE) on InP substrates," J. Electron. Mater. 11, 957 (1982). 109 [49] B. D. Joyce and E. W. Williams, "The preparation and photoluminescent properties of high purity vapour grown indium phosphide layers," Inst. Phys. Conf. Ser. No.9, 57 (1971). [50] E. W. Williams, W. Elder, M. G. Ast1es, M. Webb, J. B. Mullin, B. Straughan, and P. J. Tufton, "Indium phosphide 1. a photoluminescence materials study," J. Electrochem. Soc. 120,1741 (1973). [51] C. Pickering, P.R. Tapster, P.J. Dean, L. L. Taylor, P. L. Giles, and P. Davies, "Optical characterisation of acceptors in doped and undoped VPE InP," J. Cryst. Growth 64, 142 (1983). [52] L. J. van der Pauw, "A method of measuring specific resistivity and Hall effect 1 (1958). of discs of arbitrary shape," Philips Res. Rep. 13, [53] G. E. Stillman, C. M. Wolfe, and J. o. Dimmock, "Hall coefficient factor for polar mode scattering in n-type GaAs," J. Phys. Chern. Solids 31, 1199 (1970). [54] M. Benzaquen, D. Walsh, and K. Mazuruk, "Hall factor of doped n-type GaAs and n-type InP," Phys. Rev. B: 34, 8947 (1986). [55] T. Y. Wuand G. L. Pearson, band structure of In Ga (1972). "Phase diagram, l As," J. Phys. x crystal growth, end Chern. Solids -x 33, 409 - [56] T. P. Pearsall, "GaO 47InO 53As: a ternary semiconductorfor photodetectorappl1cat10ns,"IEEE J. Quantum Electron. QE-16, 709 (1980). [57] H. C. Casey and M. B. Panish, Heterostructure Lasers Part B, (Academic, New York, 1978). [58] R. E. Nahory, M. A. Pollack, W. D. Johnston, and R. L. Barns, "Band gap versus composition and demonstration of Vegard's law for In Ga As P matched to InP," Appl. Phys. l -x x y I -y lattice Lett. 33, 659 (1978). [59] K. -H. Goetz, D. Bimberg, G. F. H. Jurgensen, J. Selders, A. V. Solomonov, Glinskii,and M. Razeghi, "Opticaland crystallographic propertiesand impurity incorporationof Ga In] As (0.44 < x < 0.49) grown by liquid phase epitaxy, vapo~ pna~e epitaxy, and metal organic chemical vapor deposition," J. Appl. Phys. 54, 4543 (1983). [60] P. Chandra, L. A. from Ga In x Coldren,' As P l -x Y I -y and K. E. Strege, "Refractiveindex data films," Electron. Lett. 17, - 6 (1981). 110 [61] H. Burkhard, H. W. Dinges, and E. Kuphal, "Optical properties of In Ga P l I As , InP, GaAs, and GaP determined by ellipsometry," -x x J. Appl. -y Y Phys. 2l 655 (1982). [62] E. Rabinowicz, An Introduction to Experimentation, Reading, Mass., 1970), p.32. (Addison-Wesley [63] M. Born and E. Wolf, Principles Oxford, 1970), p. 324. (Pergamon, of Optics, 4th ed. [64] Handbook of Mathematical Functions, edited by M. Abramowitz Stegun (NBS, Washington, 1972), p. 81. and I. [65] M. M. Tashima, L. W. Cook, and G. E. Stillman, "The application of x-ray diffraction measurements in the growth of LPE InGaAs/InP," J. Cryst. Growth~, 132 (1981). [66] R. E. Enstrom, P. J. Zanzucchi, and J. R. Appert, ties of vapor-grown In xGa l-xAs epitaxial films InxGal_xP substrates," J. App1. Phys. 45, [67] 300 (1974). Y. Takeda, A. Sasaki, Y. Imamura, and T. Takagi, "Electron mobility and energy gap of In 53GaO 47As on InP substrate," J. Appl. Phys. [68] "Optical properon GaAs and . !!2, 5405 (1976 9 : R. J. Elliott, "Intensity of optical absorption by excitons," Phys. Rev. 108, 1384 (1957). [69] E. Zielinski, H. Schweizer, K. Streubel,H. Eisele, and G. Weimann, "Excitonic transitions and exciton damping processes in InGaAs/ InP," [70] J. App1. Phys. 22.,2196 (1986). E. V. K. Rao, A. Sibille, and N. Duhamel, "Investigationof processinduced defects in InP," Physica (Utrecht)ll6B, 449 (1983). [71] H. C. Casey and E. Buehler, "Evidence for low surface recombination velocity on n-type InP," App1. Phys. Lett. 30,247 (1977). [72] D. J. Ashen, P. J. Dean, D. T. J. Hurle, J. B. Mullin, A. M. White, and P. D. Greene, "The incorporation and characterisationof acceptors in epitaxial GaAs," J. Phys. Chem. Solids 36, 1041 (1975). [73] O. Roder, U. Heim, and M. H. Pilkuhn, "Electronmobilities and photoluminescence of solution grown indium phosphide single crystals,"J. Phys. Chem. Solids 31, 2625 (1970). [74] P. W. Yu, "A model for the 1.10 eV emission band State Commun. 34, 183 (1980). in InP," Solid 111 [75] J. B. Mullin, A. Royle, B. W. Straughan, P. J. Tufton, and E. W. Williams, "Crystal growth and properties of Group IV doped indium phosphide," J. Cryst. Growth 13/14, 640 (1972). [76] L. J. Giling, "Gas flow patterns in horizontal cells observed by interference holography," Soc. 129, 634 (1982). [77] epitaxial reactor J. Electrochem. D. H. Reep and S. K. Ghandi, "Deposition of GaAs epitaxial layers by organometallic CVD," J. Electrochem. Soc. 130, 675 (1983). [78] G. E. Stillman, C. M. Wolfe, and J. o. Dimmock, "Hall coefficient factor for polar mode scattering in n-type GaAs," J. Phys. Chem. Solids 1!, 1199 (1970). [79] L. D. Zhu, K. T. Chan, and J. M. Ballantyne, "Very high mobility InP grown by low pressure metalorganic vapor phase epitaxy using solid trimethylindium source," Appl. Phys. Lett. ~, 47 (1985). [80] A. H. Moore, M. D. Scott, J. I. Davies, D. C. Bradley, M. M. Faktor, and H. Chudzynska, "High mobility InP epitaxial layers prepared by atmospheric pressure MOVPE using trimethylindium dissociated from an adduct with 1,2-bis(diphenyl phosphino) ethane," J. Cryst. Growth lI, 19 (1986). [81] G. E. Stillman, L. W. Cook, T. J. Roth, T. S. Low, and B. J. Skromme, "High purity material," in GaInAsP Alloy Semiconductors, edited by T. P. Pearsall (John Wiley & Sons, New York, 1982), p. 147. [82] W. Walukiewicz, J. Lagowski, L. Jastrzebski, P. Rava, H. C. Gatos, M. Lichtensteiger, and C. H. Gatos, "Electron mobility and free-carrier absorption in InP; determination of the compensation ratio," J. Appl. Phys. 51, 2659 (1980). [83] A. C. Jones, P. R. Jacobs, R. Cafferty, M. D. Scott, A. H. Moore, and P. J. Wright, "Analysis of high purity metalorganics by ICP emission spectrometry," J. Cryst. Growth lI, 47 (1986). [84] D. H. Reep and S. K. Ghandi, "Electrical properties metallic chemical vapor deposited GaAs epitaxial Electrochem. Soc. 131, 2697 (1984). of organolayers," J. [85] J. S. Blakemore, "Semiconducting and other major properties of gallium arsenide," J. Appl. Phys. 53, R123 (1982). [86] K. Hess, N. Stath, J. Electrochem. and K. W. Benz, "Liquid Soc. 121, 1208 (1974). phase epitaxy of InP," 112 [87] J. C. Paris, M. Gauneau, H. L'Haridon, and G. Pe1ous, "Effects of annealing on unintentionally doped LEC InP," J. Cryst. Growth 64, 137 (1983). [88] T. Kamijoh, H. Takano, and M. Sakuta, "Heat treatment of semiinsulating InP:Fe with phosphosi1icate glass encapsulation," J. App1. Phys. 55, 3756 (1984). [89] R. E. Hollingsworth, and J. R. Sites, "Photoluminescence dead layer in p-type InP," J. Appl. Phys. 53,5357 (1982). [90] H. Nagai, and Y. Noguchi, "Surface-treatment effect on photoluminescence of InP," J. Appl. Phys. 50, 544 (1979). [91] G. S. Pomrenke, "Evidence of amphoteric behavior of Si in VPE InP," J. Cryst. Growth 64, 158 (1983). [92] N. Duhamel, "Silicon E. V. K. Rao, M. Gauneau, H. Thibierge, and A. Mircea, implantation in semi-insulating bulk InP; electrical and photoluminescence measurements," J. Cryst. Growth 64, 186 --- (1983). [93] K. J. Bachmann, "Properties, preparation, and device applications of indium phosphide," Ann. Rev. Mater. Sci. 11, 441 (1981). [94] Growth and Characterization of InP (First NATO workshop on InP), edited by J. K. Kennedy, J. Cryst. Growth 54 (1)(1981). [95] Materials Aspects of InP (Second NATO workshop on InP), edited by B. Cackayne, J. Cryst. Growth 64 (1) (1983). [96] F. R. Bacher and W. B. Leigh, "Photoluminescence study of magnesium doped MOVPE indium phosphide," J. Cryst. Growth 80 456 (1987). [97] A. W. Nelson and L. D. Westbrook, "A study of p-type dopants for InP grown by adduct MOVPE," J. Cryst. Growth 68, 102 (1984). [98] C. R. Lewis, W. T. Dietze and M. J. Ludowise, "The growth of magnesium-doped Mater. 12, 507 GaAs by the OM-VPE (1983). [99] R. R. process," J. Electron. Bradley, R. M. Ash, N. W. Forbes, R. J. M. Griffiths, D. P. Jebb, and H. E. Shephard, "Meta1organic chemical vapour deposition of junction isolated GaAsAs/GaAs LED structures," J. Cryst. Growth12, 629 (1986). 113 [100] K. J. Bachmann, E. Buehler, B. I. Miller, J. H. McFee, and F. A. Thiel, "The current status of the preparation of single crystals, bicrystals, and epitaxial layers of p-InP and of polycyrstalline p-InP films for photovoltaic applications," J. Cryst. Growth 39, 137 (1977). [101] D. Barthruff and H. Haspeklo, "Excited states in InP," J. Lumin. 24/25, 181 (1981). of shallow acceptors [102] E. Kubota, Y. Ohmori, and K. Sugii, "Electrical and optical properties of Mg-, Ca-, and Zn-doped InP crystals grown by the synthesis, solute diffusion technique," J. Appl. Phys. 55, 3779 (1984). [103] G. S. Pomrenke, Y. S. Park, and R. L. Hengehold, "Photoluminescence from Mg-implanted, epitaxial, and semi-insulating InP," J. Appl. Phys. 52, 969 (1981). [104] S. J. Bass and P. E. Oliver, "Controlled doping of gallium arsenide produced by vapour epitaxy, using trimethylgallium and arsine," Inst. Phys. Conf. Sere No. 33b, 1 (1977). [105] V. Swaminathan, study V. M. Donnelly, of Cd-related centers and J. Long, "A photoluminescence in InP," J. Appl. Phys. (1985). 58, -- 4565 [106] H. Burkhard, E. Kuphal, F. Kuchar, and R. Meisels, "Donoracceptor pair recombination from donor ground and first excited states in InP," Inst. Phys. Conf. Sere No. 56, 659 (1981). [107] E. Zacks and A. Halperin, pair-photoluminescence Rev. B~, 3072 (1972). [108] T. Yagi, escence Phys. "Dependence of the peak energy of the band on excitation intensity," Phys. Y. Fujiwara, T. Nishino, and Y. Hamakama, "Photoluminmismatch in InGaAs/lnP,"Jpn. J. Appl. L467 (1983). and 11, lattice [109] K.-H. Goetz, D. Bimberg, K.-A. Brauchle, H. Jurgensen, J. Selders, M. Razeghi, and E. Kuphal, "Deep Fe and intrinsic defect levels in GaO.47InO.53As/InP," Appl. Phys. Lett. 46, 277 (1985). [110] C. P. Kuo, S. K. Vong, R. M. Cohen, and G. B. Stringfellow, "Effect of mismatch J. Appl. Phys. ~, strain on band gap in [111] D. A. Humphreys, R. J. King, D. Jenkins, "Measurement III-V semiconductors," 5428 (1985). of absorption coefficients ~m," over the wavelength range 1.0-1.7 1187 (1985). and A. J. Moseley, of GaO 47InO 53As Electron. Lett. 21, -- 114 [112] D. D. Sell and H. C. Casey, "Optical absorption and photoluminescence studies of thin GaAs layers in GaAs-Al xGa l-xAs double heterostructures," J. Appl. Phys. ~, 800 (1974). [113] ,~. J. Turner, W. E. Reese, and G. D. Pettit, "Exciton absorption and emission in InP," Phys. Rev. 136, A1467 (1964). [114] Y. Yamazoe, T. Nishino, and Y. Hamakawa, "Electroreflectance study of InGaAsP quaternary alloys lattice matched to InP," IEEE J. Quantum Electron. QE-17, 139 (1981). [115] T. P. Pearsall, and A. Roizes, G. Beuchet, "Electron J. P. Hirtz, N. Visentin, and hole mobilities Inst. Phys. Conf. Ser. No. 56, 639 (1981). M. Bonnet, in GaO 47InO 53As," .. [116] R. Saxena, V. Sardi, J. Oberstar, L. Hodge, M. Keever, G. Trott, K. L. Chen, and R. Moon, "OMVPE growth of InGaAsP materials for long wavelength detectors and emitters," J. Cryst. Growth 77, 591 (1986). -- [117] K. W. Carey, S. Y. Wang, R. Hull, J. E. Turner, D. Oertel, R. Bauer, and D. Bimberg, "Characterization of InP/GalnAs/lnP heterostructures grown by organometallic vapor phase epitaxy for high-speed p-i-n photodiodes," J. Cryst. Growth 77, 558 (1986). -- 115 APPENDIX OHMIC For n-type as follows: anneal at 390°C tance 4) anneal necessary, except For evaporation, from the sample, or cryogenic res is- 2 Ohms; operation was found separated as above was followed, For p-type samples, that AuZn alloy was used The AuZn material at 900°C was to make and a shutter ampul by 2.5 rom in a square pattern. to exposure procedure of AuGe (75% Au, for 3 hours. The source was 4 cm the sample until by a mask with that at OGC by annealing were used. blocked except the above instead was made in a quartz 35 mg of metal The sample was covered to cool prior The contact a thin poor contacts. (70% In, 30% Ga by weight) gold and zinc together holes connection the same procedure 25% Zn by weight). began. to bridge 2) 5) epoxy thus formed was typically used was 3) rub In dots onto for 30 seconds, for 30 minutes. joint contacts (88% Au, 12% Ge by weight), in an Ar atmosphere, 1) and 2) were omitted. followed, for making to GaAs. For InGaAs, steps rigid wire InGa alloy good contact alloy in air at 150°C paste was occasionally If neither the method in Ar at 200°C of the wire-to-indium silver was AuGe for 2 minutes 6) bake Cu wire, PREPARATION GaAs or InP samples, 1) evaporate the contacts, CONTACT A evaporation four 0.75 rom diameter The sample was allowed to air. All contacts were verified to have a linear current/voltage rela- 116 tionship continuously through positive and negative current values in the region mA), using of measurement a Tektronix for Hall mobility 576 curve tracer. (usually less than 1 117 APPENDIX B EPILAYER THICKNESS MEASUREMENT Several layers. All The etchant methods were methods involved selective GaAs and InP used K3Fe(CN)6 for used to measure substrate For InGaAs/lnP, at etching epilayers + 8 g KOH in 100 ml H20. insulating thickness of epitaxial of the substrate. was ferricyanide: Ferricyanide etches 12 g a semi- rate from the n-type epilayer. a different 40% HCl was used to etch InP, leaving the InGaAs layer undisturbed. The procedure sample mount cleanly for delineating along a plane 3) etch for to the growth the surface, 2) in H20,S) An eyepiece calibrated with scale to equal mount accompanies a variety half-millimeter termined (GE #7031 varnish was used for HCl etch- 60 seconds under a microscope illuminator(15 s for InGaAs), 4) rinse with perpendicular 1) cleave the sample on a small piece of microscope slide using clay, with the freshly cleaved edge up es), the layers was: under this microscope. of millimeter markings. the Zeiss light microscope. scale Thus "one" rules, The scale was including on the Zeiss scale was de- 0.061 mm at l28X and 0.0244 mm at 320X. in this measurementwas estimated to be + 0.01 one The error "Zeiss units", or + 0.25 microns at 320X. The epilayer separating could the layer be visually delineatedby noting a dark line from the substrate. InGaAs layers could be seen 118 quite easily, pIes, cracks begining GaAs and InP with more or etch lines at the interface An independent of multiple For energies below removed easily Then be observed successive III. = maxima and leading coherent in their transmission m A/2n light using minima refractive of several the appropriate value angles. utilized the light. the InP substrate and maxima versus could wavelength plots. with m the order index maxima sambe seen of monochromatic t for normal incidence, and n t the InGaAs occasionally thickness layers with etalons: To find m, the wavelengths are compared, InGaAs as Fabry-Perot = t could reflections InGaAs On InGaAs/lnP away at random for measuring the bandgap, functioned thickness in the substrate method interference difficulty. found in Chapter (m, m + 1, etc.) of nt for each. of 119 APPENDIX TABLE XIII. Reference 77 K FWHM versus Net Carrier Concentration: From the Literature. Material I [49] [49] [50] C InP:Cr InP:Sn InP:Zn ND-NAI (cm-3) PL FWHM Raw Data (meV) 1 x 1016 11 1 x 1018 32 4 x 1017 19 1. 3 x 1018 33 2.2 x 1018 31 6.5 x 1018 38 2 x 1019 40 2.7 x 1019 53 3.7 x 1019 62 1.2 x 1016 11 2.5 x 1016 16 3 x 1016 13 5 x 1016 18 7 x 1016 15 1.4 x 1017 19 5 x 1017 35 9 x 1017 35 1.5 x 1018 50 1.2 x 1016 16 1. 9 x 1016 17 6 x 1016 21 7 x 1016 19 1. 6 x 1017 17 2.6 x 1017 20 3.7 x 1017 25 8 x 1017 21, 1.4 x 1018 30 2.1 x 1018 30 2.4 x 1018 5 x 1018 33, 35 65 5 x 1018 65 26, 29 120 APPENDIX D RAW SIMS DATA FOR InGaAs/lnP The data 1-29-7-86 in Figs. are summarized by Charles each sample, performed in Table 43-6 are concentration as provided discussed from SIMS analysis Evans The horizontal thickness determined absorption testing. (in atoms/cc) & Assoc. most There accurate. VI. 65 and OSU Presented versus depth here profiles are two profiles for (The SIMS conditions were III.) scale on these by interference At least The lower curve figures was calibrated effects two isotopes for S, Si, Cu, Zn, and Hg to check interference. on InGaAs X of Chapter one Cs beam and one 0 beam. in Chapter LAYERS observed per element for possible for each element using the in optical were monitored molecular ion is presumed to be the 121 Cu s s .w. L; 104 en CD e !0 ..0 t.) z 0 t-I .!! Ag Z 0 >cr 0 t-I c c c z 0 t.) i w 1cr en 0 t.) 1 MBE InO.S3GaO.47As!InP OSU 1-29-7-86 1 2 3 4 5 DEPTH(microns) FIG. 43. Beam SI~ Data for MBE InO.53GaO.47As. scale app11es to As only. Cs Right 122 MBE Ino.S3GaO. 47As!InP OSU 1-29-7-86 U I.J ...... en Cu en &1 CI 5 0 u Hg ..... z 0 H;J z .... W C[ CU u z 0 u Al 0 .... >a:: C[ 0 z 0 u UJ en 1rr AA. Fe AsNi Cr1if M9 Na 1 2 3 DEPTH FIG. 44. 4 5 (microns) 0 Beam SIMS Data for MBE InO.S3GaO.47As. scale applies to As only. Right 123 OMVPE 1 InO. 53GaO. 47As /InP InGaAs 65 (InP buffer) 1 Cu u..., ....... 0 ... 104 tn Zn 10 0 to) :z 0 0 Ag :z .0 >Ir < c :z < i :z 0 to) 0 to) 10 Hr U! tn Cl Cl 10' AS~ 2 1 DEPTH FIG. 45. 3 (microns) Cs Beam SI~ Data for OMVPE InO.53GaO.47As. scale app1~es to As only. Right 124 OMVPE InGaAs65 Ino. 53GaO. 47As/InP (InP buffer) - ..v to> to> ..... en E 0 ..... 104 en ..... :z 0 Co) .!!! :z 0 ..... -< Cu :z 0 >cr -< CU f= ffi Co) :z 0 Co) 0 :z 0 Co) w en W Fe 1er Al 1 2 3 DEPTHCmicrons) FIG. 46. o Beam SI¥ Data for OMVPE InO.53GaO.47As. scale app11es to As only. Right 125 APPENDIX TABLE XIV. List of chemicals Item E and equipment. Manufacturer & model # Comments PHOTOLUMINESCENCE: 275 mm monochromator Jarrell Ash, Mark X 82462 PbS detector Hammamatsu Ar+ ion laser Coherent cryostat MMR TechnologiesR2l05 temperature Radiation indic. MMR Technologies Labs 52 f/3.85, 6 nm/mm dispersion, 600/mm 514.5 nm, 150 mT 1 mm sapphire amplifier x-y recorder Houston lock-in amplifier EG&G Princeton Applied Res. 5105 vacuum VacTorr pump N2 pump Thomas Si filter 262C glass Bausch filter AM 502 2000 current source Industries 107CA18 1. 5 mm, & Lomb 780 nm Keithly 619 Keithly 220 scanner Keithly 705 6" electromagnet Alpha Scientific 6002 temp. MMR Technologies K-20 cryostat MMR Technologies R2105 IEEE bus control Apple vacuum Edwards controller pump gaussmeter Bell 810 Hz 100 HALL MOBILITY: voltmeter window K-77 Tektronix Instrument lIe 2 stage Inc. 615 slit grating polished 126 TABLE XIV. OMVPE CRYSTAL vacuum (cont.) GROWTH: leak checker Alcatel HZ purifier Johnson rf generator Lepel (glove box) NZ filter heat tape -8 He to 10 T ASM 10 Matthy HP-Z5 T-5-3-KC-A-B Millipore 7.5 kW, 100 kHz O.Z micron N66 Thermolyne heat tape controller YSI 7Z NZ (glove box) Air Products pre-purified HZ Air Products UHP grade Z ppm 0Z' 3.5 ppm HZO NZ Air Products 1 ppm 0Z' 1 ppm HZO rated + 0.01 °c temperature mass baths flow control rf/oven controller Neslab Unit UPC grade RTE 9DD Instruments Watlow series gas regulators Veriflow gas filters David trimethylindium Alfa Products trimethylgallium AlfaProducts UFC-lOOO TDR 450 J. Tripp Assoc. TEM 87958 6.6 ppm Si Strem Chemical arsine Phoenix phosphine Phoenix Research NA 1953 valves Nupro SS-4BK-TW HZO rated + O.Z% of full scl. 859 CpZMg deionized Z-3 ppm 0Z' 10-5 ppm HZO Research 10% in HZ 10% in HZ Continental Water Sys. 3Zl8 O.Z micron, 17 megOhm 30% HZOZ General Chemical 109-00350Z 96% HZS04 Baker 9673-1 37% HCl Van Waters & Rogers UN 1789 microprocess grade 70% HN03 99.5% TCE Van Waters & Rogers UN Z03l microprocess grade American Burdick & Jackson MS80897 99.5% Van Waters & Rogers Van Waters & Rogers [CH3]ZCO 99.9% CH30H clean bench Envirco low particle grade trace metal analysis grade UNl090 VLSI grade microprocess grade microprocess grade class 10 tested 3/86 127 TABLE XIV. OPTICAL (cont.) ABSORPTION: 275 mrn monochromator Jarrell Ash, Mark PbS detector Hammamatsu lock-in EG&G Princeton amplifier amplifier Tektronix Si filter 262C glass Bausch filter X 82487 Applied Res. 5101 810 Hz AM 502 1. 5 mrn, polished & Lomb 780 nm cryostat Air Products x-y recorder Hewlett Packard 7045B Displex temp. . cal. zeroed ~ with covered tungsten epoxy OHMIC 8V Oriel lamp Hardman transparent 24 hour CONTACTS: Mo evaporationboat Balzers diffusionpump CVC CVE-15 Ag paste DuPont 7941 conductive curve epoxy tracer THICKNESS Epoxy Technology Tektronix 576 MEASUREMENT: microscope (see optical Zeiss absorption 64702 apparatus) H3lD one-part cure 1 °c detector 128 APPENDIX COMPUTER Two programs Table XV gives measurement. The program the full program the characterization for resistivity was controlled and the electromagnet, with and magnetic field, any magnetic actual sample/contact and Hall mobility were manually the field on. ID, set temperature, The output temperature, uniformity chart is easily if desired. then Hall is a printout assumed thickness (F), resistivity, Figure Hall The Hall 47 gives the flow- for this program. A second cients program for InGaAs. wavelength shows incorporated except operated. field, mobility, carrier concentration, and conductivity type. factor effort. by the computer, which is to be run once without are remeasured of sample PROGR&~S used to speed This apparatus for N2 cooling voltages were F and temperature interference effects coefficient estimates transmission. to this value to calculate The refractive the flowchart, absorption was used The operator and re-enter coefficient into the program. and Table XVI gives which the program the operator the computer uses can then compare estimates is obtained. absorption coeffi- index of InGaAs as a function are written are included, optical until Figure lines. inputs of 48 When absorption to calculate the measured the best value a predicted transmission of the 129 IJSE PRE-SET PARAMETERS PARAMETERS DEFINE } VARIABLES INCREMENTS TEMPERATURE RANGE, CURRENT TO SAMPLE INPUT SAMPLE } MAGNETIC THICKNESS FIELD NAME INSTRUMENT ADDRESSES DIMENSION STRING ARRAYS ACTIVATE IEEE REMOTE BUS ENABLE INSTRUMENTS - NEXT VOLTAGE SET RELAYS (SIX TIMES, NEXT X LOOP) MEASUREMENT SUBROUTINE TEMPERATURE POINT LOOP CALCULATE RESISTIVITY STORE fJ( T) HALL VOLTAGE STORE DATA ON DISC FIG. 47. , CALCULATE MOBILITY, CARRIER CONC. OUTPUT DATA TO PRINTER Flowchart for Hall Mobility Measurement Program. 130 TABLE Line 10 XV. Hall Mobility BASIC /I Measurement and Calculation Program. (DOS 3.3) Program Statement CALL 1002 = CHR$ (4) PRINT D$;"PR#3" PRINT D$;"IN#0" PRINT" van der Pauw Resistivity/Hall Mobility measurement..... PRINT "NOW' With SAMPLEFIX' (Rev. 3/26/87)" PRINT PRINT "Enter sample identification (up to 20 characters, no commas). 20 D$ 30 40 50 60 70 80 90 INPUT 1$ 100 IF U "TEMPCON1" THEN GoTo 210 110 PRIN' "Enter thickness (in microns)." 120 INPUT T 122 PRINT "Enter settle time (1000 = 1 sec.)" 124 INPUT TT 130 PPIIH "Use Preset (PR) or Mc.nual(MA) current es?" PF:IN' PRItH ts are "Presets: tco.ken I and temperature valu .0005A, starting temp. is 78K, and 7 data poin 30K apart up to 258K, assuming a 5000 Gauss R.:o.!;Inetic field." 14~, PRINT 1S0 PRIN' "'ype PR or MA." 160 INPUT Tt. 1-/0 IF 1$ = "PR" THEN 180 190 200 20~ GoTo 189(2) IF T$ = "MA" THEN GoTo PRINl "TRY AGAIN" GO TO 130 PRltH D$; "DE.LETE PATCH" 210 Z$ = CHR$ (26) A$ = CHF.:$:(38) 230 240 250 260 270 28C 290 ::'.00 B$ = CHR$ (44) C$ 1"$ CHR$ (49) CHR$ (97) = = (;1$ = J$. = E$ = 1780 CHR$ (42) CHR$ (74) CHR$ (98) F$ = CHR$ (70) IF I~ "TEMF-CONT" THEN GOTo 2620 311ZJ PRINT "Is the magnet on? (Type Y or N; if yes, only Hall data will be taken.)" 320 IF T$ = "PR" THEN PRINT "MAGNETIC FIELD ASSUMED TO BE 5000 GAUSS." 330 34~ 350 :~\60 370 375 380 = INPUT S$ IF S$. = "N" THEN GoTo 400 IF T$ = "PR" THEN GOTO 380 PRINT "Enter magnetic field (in Gauss)." INPUT C IF LEF1$ (1$,3) = "INP" THEN GoTo 394 PRINT "Use Hall Factor correction? Type Y or N (for N, Hall Factor = 1.0)" 39121 392 394 40121 41121 42121 430 440 450 INPUT ZZ$ GOlD 400 ZZ$ = "N" PRINT "Use temperature controller? INPUT U$ IF U$.= "N" THEN GOTo 440 GOTO 2620 FOR Y = 1 TO J CALL 11211212 (Type Y or N)" 131 TABLE XV. (cont.) .-60 .-70 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 PRINT PRINT PRINT IF U$ ONERR PRINT PRINT INPUT PRINT HOME PRINT PRINT D$; "PR#l" D$;" IN#l" "LF1" = "N" THEN GOTO 710 GOTO 520 "WT";Q$;Z$;"SK ";K "RD";J$;Z$; TA$ D$;"PR#3" TA$ "Set temperature is ";1<;",and this is measurement number ";Y ;" of u;.J;II.n PRINT D$;"PRtll" PRINT D$;"IN#1" PRINT "LF1" FOR B = 1 TO 30000: NEXT ONERR GOTO 640 PRINT "WT";Q$;Z$;"TE" PRINT "RD";J$;Z$; INPUT TE$ F'RINT D$; "PRtl3" PRINT "Actual temperature ;Y;II of B is ";TE$;" (set point ";K;", tI;J;..).n 680 PRINT D$;"PR#1" 690 PRINT D$;" INtH" 700 PRINT "LF1" 710 PRINT "RM";B$;Z$ 720 PRINT "RM";C$;Z$ 730 PRINT "RM";A$;P$;Z$ 740 PRINT "LL" 750 PRINT "WT";A$;P$;Z$;"F0R1T4P1C1Z0X" 760 PRINT "WT";A$;P$;Z$;"Z1X" 770 FOR B = 1 TO 1000: NEXT B 780 IF S$ = "V" THEN GOTO 1200 790 FOR X = 1 TO 2 800 PRINT "CL";C$;Z$ 810 IF X = 1 THEN PRINT "WT";C$;Z$;"B1C2C5CI0CI3CI8X" 820 IF X = 2 THEN PRINT "WT";C$;Z$;"B3C3C6CI0CI4C15X" 830 PRINT "WT";B$;Z$;"F1B1L1D0V100X";"I";I;"X" 840 R = 0 850 GOTO 1000 860 PRINT "WT";A$;P$;Z$;"F0R1T4C0Z0X" 870 FOR B = 1 TO TT: NEXT B 880 PRINT "RD";F$;P$;Z$; 890 INPUT" ";M$ 900 FOR B 1 TO 400: NEXT B 910 PRINT "UT" 920 FOR B = 1 TO 400: NEXT B 930 PRINT "WT";B$;Z$;"F0X" 940 M = VAL ( HID$ (H$,5,16» 950 H.= ABS (H) 960 R = H I I + R 970 PRINT "WT";A$;P$;Z$;"F0R1C1X" 980 FOR B = 1 TO 500: NEXT B 990 RETURN 1000 GOSUB 2360 1010 PRINT "WT";B$;Z$;"F1X";"I-";I;"X" 1020 GOSUB 2360 1030 PRINT "CL";C$;Z$ 1040 IF X ...1 THEN PRINT "WT";C$; Z$:;"B2C4C7CI0CllCI6X" 1050 IF X ... 2 THEN PRINT "WT";C$;Z$;"B4C1C8C10C12CI7X" = data point" 132 TABLE XV. (cont.) 1060 PRINT "WT",B$,Z$;"FIX" 1070 GOSUB 23611I 1080 PRINT .WT".B$,Z$,"FIX"."I". I."X" SOSUB 2360 IF X .. 1 THEN S .. R I 4 IF X - 2THENR-R/4 lC119C11 1100 1110 1120 NEXT X S) I (R + S). .34657 * «R F - 1 S» 4 1140 R - .000226622 * F * (R + ~) * T 1130 ,.. 2 - .092358 * «R - S) I (R + ,.. 1200 1210 1220 1230 1240 1250 1260 1270 1280 1290 1300 1310 PRINT PRINT PRINT SOSUB "eL",C$,Z$ "WT",C$;Z$;"B5C3C5CIC11CI2C1BX" "WT",B$,Z$,"F1B1LID0VI00X","I".I,"X" 2440 ZA$ .. W$ PRINT "WT",B$;Z$;"F1X"."I-";I,"X" SOSUB 2440 ZB$ .. W$ PRINT "CL";C$;Z$ PRINT "WT";C$;Z$;"B6C4C6CI0Cl1CI7X" PRINT "WT";B$;Z$;"F1X" SOSUS 2440 1320 ZC$ .. W$ 1330 PRINT "WT",B$;Z$;"FIX","I",I."X" 1340 SOSUB 2440 1350 ZD$ - W$ 1370 ONERR SOTO 1390 1380 IF V .. J THEN PRINT "WT",Q$;Z_;"SK000.00" 1390 PRINT "RD",J$;Z$; 1400 INPUT TA$ 1415 VV - 100 + V 1420 PRINT . "WT".C$'Z$'''R0X'' ", 1430 IF V J THEN PRINT "LA" .. 1440 PRINT 1450 1460 1470 D:t.; "PR4t3" PRINT !J$;"INtt0" (;ALL 1002 PRINT D$; "OPEN fY.T;;H,LlfZ;(..;.' 149111 15010 1510 15:tJ~ 15:.~ I:'Ai!l I:5S!.:: PF-lt,:IJJ-; "Wio:l1E PATCH,R";'t f"f:an K PFOUl f.' F'R 1NT ZA:t PRJln ZBt: PRJNT ZC$ PRINT ZD$ 1~.6/L1 PRINT D$; "CLOSE PATCH" 1480 IF S$ Co ".,." THEU GOTD 17113 1570 IF U$ = "N" THEN GOTO 16135 1:5E!~.' PRINT D:t; "PR*4" 1:581 IF Y > 1 THEN GOTO 1600 15B:! IF Sf: :: "N" THEN PRINT "Wit.h IIIAgnetoff, 1~B4 If. S$ :: "Y" THEN PRINT "M.gnet on:" actuAl temps _reI" Ib0~ PRINT TE$ 16'215 K .. K + A 1610 N~q V Ib20 PRINT D$;"PRtt3" 165'" PRINT "MeAsurement complete." 1640 PRINT "To rerun type RE, to calculate type CA, to end type EN." 1650 INPUT 0$ 133 TABLE XV. (cent.) 16b0 1670 1680 1690 1700 1710 1720 1730 1740 1750 1760 1770 1780 1790 1800 1810 1830 1840 1850 1860 IF 0$ = "RE" THEN IF 0$ = "CA" THEN IF 0$ "" "EN" THEN GOT a 2370 GOTO 1950 END PRINT "TRY AGAIN" GOTO 1630 PRINT D$;"WRITE PATCH,R";YY PRINT ZA$ PRINT ZS$ PRINT ZC$ PRINT ZD$ PRINT D$;"CLOSE PATCH" GOTO 1570 PRINT -Enter current (in Aeps, e.l A ..~)." INPUT I PRINT "Enter starting temperature <in Kelvins)." INPUT K PRINT "Enter number Df data pDints desoired." INPUT J IF J = 1 THEN GOTa 205 PRINT "Enter temperature increments <in Kelvins, XX.XX < 50.00K)." 1870 INPUT A 1880 GOTO 205 1890 I .. .0005 78.01 1900 K 1910 A .. 30.00 1920 C 5000 1930 J 7 1940 GOT a 205 = = = 1950 FOR P "" 1 TO J .. 100 + P ONERR GOTO 2390 CALL 1002 PRINT D$;"OPEN PATCH,L100" PRINT D$;"READ PATCH,R";P INPUT AA,AS,AC,AD,AE,AF PRINT D$;"READ PATCH,R";PP INPUT AG,AH,AI,AJ PRINT D$;"CLOSE PATCH" IF AG > AC AND AI > AE AND AH < AD AND AJ < AF THEN ZN$ = "p-type 1955 PP 1960 1970 1980 1990 2000 2002 2004 2010 2016 sample" 2018 IF AH > AD AND AJ > AF AND AG < AC AND sample" 2019 IF ZN$ < > "n-type sample" AND ZN$ < "Indeterminate" 2030 V = ( ABS (AC - AG) + ABS (AD - AH) + AJ » I 4 2040 V = (T * 10000 * V) I (C * AB) 2050 ZA = (1.6022E - 19 * V * AS) A-I 2055 AZ = 1.0 2060 IF ZZ$ = "N" THEN GOTO 2190 THEN AZ = AZ ASS (AE - AI) + IF AA 2070 2075 IF AA < 250 AND AA > = 150 THEN AZ = AZ * 1.155 IF AA < 150 THEN AZ AZ * (1.265 (18.61 I AA» "" "" ZA = ZA * AZ 2190 PRINT D$;"PR*3" 2200 PRINT D$;"PR#4" * (.9 + (60.4 - ZN$ = "n-type > "p-type sample" THEN ZN$ 2065 2077 > 250 AI < AE THEN I AA» ASS (AF - TABLE xv. 134 (cont.) = 2210 IF P 1 THEN PRINT "SAMPLE ";1$;" ";"Fieldwas ";C;" Gauss, t hickness ";T;" microns." 2212 IF P .. 1 THEN PRINT"" 2213 IF P = 1 THEN PRINT "I = ";1 2214 IF P = 1 THEN PRINT "For the last data point:" 2215 IF P = 1 THEN PRINT"F = ";F;" ";"Hall Factor = ";AZ 2220 IF P = 1 THEN PRINT 2230 IF P = 1 THEN PRINT "TEMP";" ";"RESISTIVITY";" ";"MOBILITY" ;" ";"CARRIER CONCENTRATION" 2240 IF P = 1 THEN PRINT" K Ohmcm cm 2/Vs cm"-3 2250 2260 2270 2280 2290 2300 2310 2312 2313 2314 2315 2316 2320 2330 2340 2350 2360 237~ 2380 2390 2400 2410 2420 2430 2440 2450 2460 2470 2480 2490 2500 2510 2520 2530 2540 2550 2590 2600 2610 2620 2630 2635 2640 2650 2660 2670 2680 2690 2700 IF P = 1 THEN PRINT PRINT AA;" ";AB;" IF P = 5 THEN PRINT IF P = 10 THEN PRINT IF P = 15 THEN PRINT IF P = 20 THEN PRINT NEXT P PRINT PRINT PRINT PRINT PRINT PRINT PRINT PRINT ";V;" " '.; ZA; II ";ZN$ D$;"PR#3" " " "end." END GOTO 860 K = K - (A * J) GOTO 310 PRINT D$;"PR#3" PRINT "END OF DATA...CHECK DISC" CALL 1002 PRINT D$;"CLOSE PATCH" GOTO 2350 PRINT "WT";A$;P$;Z$;"F0R1T4C0Z0X" FOR B = 1 TO TT: NEXT B PRINT "RD";F$;P$;Z$; INPUT " .";M$ FOR B = 1 TO 400: NEXT B PRINT "UT" FOR B = 1 TO 400: NEXT B PRINT "WT";B$;Z$;"F0X" M = VAL ( MID$ CM$,5,16» W = M I I W$ = STR$ (W) IF LEN (W$) = 1 THEN W$ ..W$ + ".000" PRINT "WT";A$;P$;Z$;"F0R1C1X" FOR B = 1 TO 500: NEXT B RETURN HOME CALL 1002 PRINT PRINT Temperature controller subroutine" n PRINT PRINT "Enter Command:" PRINT TE = Current temperature?" PRINT WK ..Current set temperature?" SK NNN.NN = Sets temp. to NNN.NN" PRINT VA .. Current vacuum?" PRINT TABLExv. 271121 272121 273121 274121 2750 2760 2770 278121 279121 28CJI2I 281121 2820 283121 284121 285121 286121 135 (cant.) PRINT " EX PRINT " EN INPUT CO$ IF CDS = "EN" THEN IF CO$ = "EX" THEN oNERR GoTo 281121 PRINT D$:"PR#1" PPINT D$:"IN#1" Pf;:INT "LF1" PRINT "WT":QS:Z$:Co$ PRINT "RD":J$: Z$: INPUT Cl$ PRINT D$:"PR#3" PRINT D$;"IN#I2I" PRINT CU GoTO 2635 Exits from subroutine" Ends program" END GoTO 440 136 -Sample ID -Thickness INPUT SAMPLE -Temperature -Substrate thickness INFORMATION SELECT ENERGY (0.7-1. 5 & doping (if any) eV) 28 values NEXT N LOOP . E > ...-m 0.9 eV? NO NO INCLUDE INTERFERENCE? DATA DESIRED FOR THIS ENERGY? NO = (Select at E 0.7 eV, no subs) I YES NOI NEXT N INPUT %T, DATA DESIRED FOR THIS ENERGY? CALCULATE ex I (With substrate LOOP lNEXT LOOPN effects) I YES . I PRINT PRINT INPUT %T IE, I %T, ex SAMPLE , Ci t INFORMATION OK INPUT ex ESTIMATE, CALCULATE I J COMP ON ARE SCREEN %T %T NOT OK FIG. 48. Flowchart for Absorption Coefficient Calculation Program. 137 TABLE XVI. Line Optical BASIC /I 1121 2121 PRtt,5 INtt 0 30 PRINT Absorption (DOS 3.3) Program 40 "Enter- sample am rev. 2/5/87)." INPUT U 50 PRINT ). II 60 70 80 8~. 90 10121 110 12121 130 140 144 ] 4.:> 160 17':) 180 190 200 210 2:20 ~~30 ::'4b 2S~ .,r.-.... ':'.J Calculation Program. Statement ID for- absor-ption coefficient calculation (progr- "Enler measurement temperatur-e in Kelvins (10, 77, or 300 only INPUT K PRINT "Was ther-e an InP substr-ate for- this sample? (Y or- N)" INPUT S:t IF S:t = "N" THEN GOTa 130 IF St. = "Y" THEN PRINT "Enter- InP substr-ate thickness in micr-ons." I NF'UT TT PRINT INHiT "EnterT$ substr-ate type (N or- P)." PRINl "Was the front sUI-face InP (I) or- InGc.As (G)? (Input M for d iffer-ential sample calculation; implies R = 121.)" INPUT R:t PRINT %T scaling factor--enter1 if no sCeling is desir-ed." INPUT "EnterS PRINT "Enter-sample thickness in micr-ons." INPUT T P~:tt 4 ..... PRIIH "SA~1F'LE ";1;1.; " Temper oOt.tL'.r e: ..; K; .. .". PRINT PEINl "Er,~rgy(eV) PRtt 3 FOF- I~ ... 1 10 28 H IF IF IF IF IF IF IF IF IF IF IF IF IF IF IF IF 302 IF 304 IF 31121 IF 312 IF 314 IF 320 IF 322 IF 324 IF 330 IF 332 IF 334 IF 340 IF 342 IF 344 IF 350 IF 254 :::6(1 26.2 :'64 270 27:' 274 280 282 284 29121 292 294 30e1 Coefficient I.E.~H' (U..3) N '"' 1 AIm !< a (l/cm) at" = "INP" THEN GOTa 3000 10 THEN E = .7:RA = .574:RB = .0632:NA = 3.47 N = 1 ANI.' I.. 77 THEN E = .7:RA = .572:RB = .064:NA = 3.485 N = 1 AND K 300 THEN E = .7:RA = .567:RB = .12I657:NA = 3.515 N = 2 AN[' ~: 10 THEN E = .71:RA = .573:RB = .0635:NA = 3.475 N = 2 AND K 77 THEN E = .71:RA = .571:RB = .0643:NA = 3.49 N = 2 AND K 300 THEN E = .71:RA = .566:RB = .0659:NA = 3.52 N = 3 AND I< 10 THEN E = .72:RA = .572:RB = .064:NA = 3.485 N = ::; AND K 77 THEN E = .72:RA = .569:RB = .0648:NA = 3.5 N = 3 AND K 300 THEN E = .72:RA = .563:RB = .0668:NA = 3.535 N = 4 AND I( = .571:RB = .0643:NA = 3.49 10 THEN E = .73:RA N = 4 AND K = .567:RB = .0654:NA = 3.51 77 THEN E = .73:RA N = 4 Ar~D I< 300 THEN E = .73:RA = .561:RB = .0676:NA = 3.55 N = 5 AND K 10 THEN E = .74:RA = .569:RB = .0648:NA = 3.5 N = 5 AND K 77 THENE = .74:RA = .566:RB = .0659:NA = 3.52 N = 5 AND I( 30121THEN E = .74:RA = .559:RB = .0682:NA = 3.56 N = 6 AND I( = 10 THEN E = .75:RA = .568:RB = .0651:NA = 3.505 N = 6 AND K = 77 THEN E = .75:RA = .564:RB = .0665:NA = 3.53 N = 6 AND I( 300 THENE = .75:RA = .558:RB = .0684:NA = 3.565 N = 7 AND I( 10 THENE = .76:RA = .567:RB = .0657:NA = 3.515 N = 7 AND K 77 THENE = .76:RA = .563:RB = .067:NA = 3.54 N = 7 AND K 300 THENE = .76:RA = .558:RB = .0684:NA = 3.565 N = 8 AND K 10 THEN E = .77:RA = .565:RB = .0662:NA 3.525 N = 8 AND K 77 THEN E = .77:RA .561:RB = .0676:NA = 3.55 N = 8 AND K 300 THEN E = .77:RA = .559:RB = .0682:NA = 3.56 N = 9 AND I< 10 THEN E = .78:RA = .563:RB = .067:NA = 3.54 N = 9 AND K 77 THEN E = .78:RA = .559:RB = .0682:NA = 3.56 N = 9 AND I< 300 THEN E = .78:RA = .561:RB = .0676:NA = 3.55 N = 10 AND K 10 THEN E = .79:RA = .561:RB = .0676:NA = 3.55 N = 10 AND K 77 THEN E = .79:RA = .558:RB = .0684:NA = 3.565 N = 10 AND K = 300 THEN E = .79:RA = .562:RB = .0673:NA 3.545 N = 11 AND K 10 THEN E = .8:RA = .558:RB = .0684:NA = 3.565 = = = 138 TABLE XVI. 352 354 360 362 364 370 372 374 380 382 384 390 392 394 400 402 404 410 412 414 420 4 424 430 432 434 440 442 444 450 452 454 460 462 464 470 472 474 480 482 484 490 492 494 500 502 504 510 512 514 520 522 524 530 '"")'"") ...... IF IF IF IF IF IF IF IF IF IF IF IF IF IF IF IF N N N N N N N N N N N N N N N N (cont.) = 11 = 11 = 12 = 12 = 12 = 13 = = = = = = = = = = AND K AND K AND AND AND AND AND AND AND AND AND AND AND K K K K K K K K K K K = 77 THEN E = .8:RA = .558:RB = .0684:NA = 3.565 = 300 THEN E = .8:RA = .562:RB = .0673:NA = 3.545 = 10 THEN E = .81:RA = .558:RB = .0684:NA = 3.565 = 77 THEN E = .81:RA = .5S8:RB = .0684:NA = 3.565 = 300 THEN E = .81:RA = .562:RB = .0673:NA = 3.545 = 10 THEN E = .82:RA - .558:RB = .0684:NA = 3.565 77 THEN E = .82:RA = .559:RB = .0682:NA = 3.56 300 THEN E = .82:RA = .562:RB = .0673:NA = 3.545 10 THEN E = .83:RA = .558:RB = .0684:NA = 3.565 77 THEN E = .83:RA = .S61:RB = .0676:NA = 3.55 300 THEN E = .83:RA = .S61:RB = .0676:NA = 3.55 10 THEN E = .84:RA = .561:RB = .0676:NA = 3.S5 77 THEN E = .84:RA = .562:RB = .0673:NA = 3.545 300 THEN E = .84:RA = .S61:RB = .0676:NA = 3.55 10 THEN E = .85:RA = .562:RB = .0673:NA = 3.545 77 THEN E = .85:RA = .S62:RB = .0673:NA = 3.S45 IF N = 16 AND K = 300 THEN E = .85:RA = .56:RB = .0679:NA = 3.555 IF N 17 AND K 10 THEN E .86:RA .562:RB .0673:NA 3.545 IF N 17 AND K 77 THEN E .86:RA .562:RB .0673:NA 3.545 IF N = 17 AND K 300 THEN E .86:RA .559:RB .0682:NA 3.56 18 AND K = 10 THEN E .87:RA .562:RB .0673:NA 3.545 IF N IF N 18 AND K 77 THEN E .87:RA .561:RB .0676:NA 3.55 IF N 18 AND K 300 THEN E .87:RA .S58:RB .0684:NA 3.565 IF N 19 AND K 10 THEN E .88:RA .S61:RB .0676:NA 3.55 IF N 19 AND K 77 THEN E .88:RA .S6:RB .0679:NA 3.555 IF N = 19 AND K 300 THEN E .88:RA .558:RB .0687:NA 3.57 20 AND K 10 THEN E .89:RA .561:RB .0676:NA 3.55 IF N IF N 20 AND K 77 THEN E .89:RA .SS9:RB .0682:NA 3.56 IF N 20 AND K 300 THEN E .89:RA .558:RB .0687:NA 3.57 IF N = 21 AND K = 10 THEN E .9:RA = .561:RB .0676:NA 3.55 IF N 21 AND K 77 THEN E .9:RA .559:RB .0682:NA 3.56 IF N 21 AND K 300 THEN E .9:RA .557:RB .069:NA 3.S75 IF N 22 AND K 10 THEN E .95:RA .558:RB .0687:NA 3.57 77 THEN E .95:RA .556:RB .0693:NA 3.S8 IF N = 22 AND K IF N 22 AND K 300 THEN E .95:RA .554:RB .0701:NA 3.595 IF N 23 AND K 10 THEN E l:RA .554:RB .0701:NA 3.595 IF N 23 AND K 77 THEN E = l:RA .553:RB .0704:NA 3.6 IF N 23 AND K 300 THEN E l:RA .551:RB .0712:NA 3.615 IF N = 24 AND K = 10 THEN E = 1.1:RA .S49:RB = .0718:NA = 3.625 24 AND K 77 THEN E 1.1:RA .548:RB .0721:NA 3.63 IF N IF N 24 AND 1< 300 THEN E 1.1:RA .547:RB .0724:NA 3.635 IF N = 25 AND K 10 THEN E 1.2:RA .546:RB .0729:NA 3.645 IF N 25 AND K = 77 THEN E 1.2:RA .546:RB .0729:NA 3.645 IF N 25 AND K 300 THEN E 1.2:RA .545:RB .0732:NA 3.65 IF N 26 AND K 10 THEN E 1.3:RA .545:RB .0732:NA 3.65 IF N = 26 AND K = 77 THEN E = 1.3:RA = .S45:RB = .0732:NA = 3.65 IF N 26 AND K 300 THEN E 1.3:RA .543:RB .0738:NA 3.66 IF N 27 AND K 10 THEN E 1.4:RA = .543:RB .074:NA 3.665 IF N 27 AND K 77 THEN E 1.4:RA .542:RB .0743:NA 3.67 IF N 27 AND K 300 THEN E 1.4:RA .S4:RB .0749:NA 3.68 28 AND K 10 THEN E = 1.5:RA .538:RB .0758:NA 3.695 IF N IF N = 28 AND K = 77 THEN E = 1.5:RA = .S37:RB = .076:NA = 3.7 IF N = 28 AND K = 300 THEN E 1.S:RA .535:RB .0769:NA = 3.715 = = = = = = = = = = = = = = = = = = = = = = = = = = = 13 13 14 14 14 15 15 15 16 16 AND K AND K AND K = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = PRINT "For ";E;" eV energy, enter 7.T (if no data for this energy, e nter 0; for special value, enter 1, noting that InGaAs r eflectance will be for T < 77 K)." 540 INPUT PT 545 IF N = 28 AND PT = 0 THEN GOTO 770 550 IF PT = 0 THEN NEXT N TABLE XVI. 139 (cont.) = 557 IF PT 1 THEN GOTO 1300 IF Sot = "N" THEN GOTO 62121 560 IF E < =.8 THEN AA = ( 1121 * E) + 13.25 570 IF E :> .8 THEN AA (10 * E) 3 580 2 * AA IF K > 10121 THEN AA 590 IF T$ = "P" THEN AA = AA / 10 600 611Z1 GOTO 64121 AA 0 620 TT 121 630 "M" THEN GOTO 664 635 IF R$ "G" THEN GOTO 693 640 IF R$ 3.17 .9 THEN NN 650 IF E < (. 591 * E) + 2.625 IF E :> .9 THEN NN 660 GOTO 67121 662 NN 1 664 2 / (NN + 1) A 2 R (NN 1> 670 - 2 RI (1 R) 680 PT 685 PT * S L RI * PT 690 GOTO 700 692 PT PT * S 693 IF E < =.9 THEN GOTO 101121 694 2 / (4 * PT 2» + 695 L (RA / (2 * PT» + «RA LOG (L) 7121121B - B IF R$ = "I" THEN C 71121 B (AA * TT * .0001) IF R$ = "G" THEN C 715 F = C * (11211211210 / T) 720 PI':tI 4 73121 740 PRINT E TAB( 10)PT TAB( 24)F;" II;C IF N = 5 THEN PRINT" " 742 IF N = 1121THEN PRINT 744 745 IF N 15 THEN PRINT IF N 2121 THEN PRINT 746 IF N 25 THEN PRINT 748 PRtI 3 75121 NEXT N 760 77121 PRtI 4 780 PRINT 790 PRINT "Sample thickness of ";T;" microns used." 80121 IF S$ = "¥" THEN PRINT "InP ";T$;"-type substrate - = = - = = = = = = = = - = = = = RB) A .5 - = = = microns t ";TT;" hick correctior, included." 810 IF R$ = "G" THEN PRINT "Reflectance for InGaAs used." 820 IF R:t. = "I" THEN PRINT "Reflectance for InP used." 825 PRINT "XT scaling factor = ";S;"." 830 FOR X = 1 TO 10 PRINT 840 850 NEXT X 860 PRtI 3 870 PRINT 880 PRINT "end" 890 END 1010 IF N 1 THEN PRINT "Include interference effects? (Type ¥ or N)" 1020 IF N = 1 THEN INPUT G$ 1030 IF G$ = "N" THEN GOTO 695 1040 LA = E / 1.23977 112150PRINT "Input absorption coefficient estimate, in cmA-1 (Type 0 if ready for next energy)" TABLE XVI. 140 (cont.) 1060 INPUT A 1065 IF A = 0 THEN BOTO 730 10700000) XX =) (12.5664* NA * T * LA) + (A I (LA * 3.1416 * (NA 1080 1090 1095 1100 A * T * .0001 TB = EXP (C) + (RB I BOTO 2000 IF N = 11 THEN E = 125121 126121 127121 THEN E IF N = THEN E IF N = 14 THEN E IF N = 15 THEN E IF N = 16 THEN E IF N = 17 THEN E IF N = 18 THEN E IF N = 19 THEN E IF N = THEN E IF N = 21 THEN E IF N = 22 THEN E IF N = 23 THEN E IF N = 24 THEN E IF N = 25 THEN E IF N = 26 THEN E IF N = 27 THEN E IF N = 28 THEN E 128121 BOTO 1110 IF N 1120 1 13121 114121 1150 116121 117121 1180 119121 1200 121121 122121 123121 124121 * 1 EXP - (2 * RB A .5 * cos (XX» 53121 1330 INPUT PT 1332 energy IF E < .8 THEN (in = RA IF E > .86 AND E < <'0188 * E) 1338 IF E > 1.1 THEN RA 134121 BOTO 56121 = .78 THEN 136121 IF E > .78 THEN NN 135121 IF E < .668 BOTO 67121 = RA I TB 21211121PRINT PT 21212121PRINT Z A 31213121 IF N 31214121 IF N 31215121 IF N 31216121 IF N 31217121 IF N 31218121 IF N 31219121 IF N 310121 BOTO 1050 = 1 THEN 2 THEN E E 3 4 5 6 7 E E E E E THEN THEN THEN THEN THEN = .7 = .8 = .9 = 1 = 1.1 = 1.2 = 1.25 8 THEN E = 1. 26 = 9 THEN E = 1.27 10 THEN E = 1.28 = = 1100 (.136 * E):RB = 1.1 THEN RA = .606 = .571 - (.02 * E):RB NN = 3.56 = (.222 * E) + 3.375 137121 BOTO IF N IF N IF N - = .121285 + (.1215 * = .86 THEN RA = .477 + (.1 * E):RB 21210121Z 206121 300121 301121 302121 eV)." XT." 1334(.121167 IF E *> E)=.8 AND E < = (C» 1.31 1.32 1.33 1.34 1.35 1.36 1.37 1.38 1.39 1.4 1.41 1.42 1.43 1.44 1.45 1.5 2121 "Enter E "Enter 21213121 F 2 - 1) 1.29 1.3 12 13 130121 PRINT 131121 INPUT 132121 PRINT 1336 A = C ( . 052 * E): RB E) = .121818 .0514 + .121647+ (.00667 * E) 141 VITA The author After graduating Massachusetts music, Galileo prevailed In 1979, overpowering, engineer at Tektronix, Master of Electronic study began because A strong interest Subsequently, in from he worked at as a research of his home a career to led to a conservatory; his B.S. Physics attraction 23, 1955. in 1973, he travelled Massachusetts, to begin on May state proved as a CRT manufacturing Inc. studying on a part-time in 1977. the magnetic born organ, nearly in Sturbridge, and he returned He began School and he received Institute Electro-Optics Oregonian, education. for the baroque Polytechnic engineer. High for his undergraduate science Worcester year. from Beaverton particularly however, 1980, is a third generation at the Oregon basis. While Science degree at OGC in January, of the author's still 1985. marriage Graduate Center at Tektronix, at OGC in April, in September of he completed 1984. The present This time was also significant to Corinne A. Abel, the in May of that