Seediscussions,stats,andauthorprofilesforthispublicationat:http://www.researchgate.net/publication/270914681 Depositionpressureeffectonchemical, morphologicalandopticalpropertiesofbinary Al-nitrides ARTICLEinOPTICS&LASERTECHNOLOGY·JUNE2015 ImpactFactor:1.65·DOI:10.1016/j.optlastec.2014.12.009 CITATION READS 1 85 5AUTHORS,INCLUDING: JaimeANDRESPerezTaborda JulioCaicedo SpanishNationalResearchCouncil UniversidaddelValle(Colombia) 27PUBLICATIONS20CITATIONS 86PUBLICATIONS328CITATIONS SEEPROFILE SEEPROFILE W.Saldarriaga HenryRiascos NationalUniversityofColombia UniversidadTecnológicadePereira 44PUBLICATIONS185CITATIONS 47PUBLICATIONS107CITATIONS SEEPROFILE Allin-textreferencesunderlinedinbluearelinkedtopublicationsonResearchGate, lettingyouaccessandreadthemimmediately. SEEPROFILE Availablefrom:JaimeANDRESPerezTaborda Retrievedon:30October2015 Optics & Laser Technology 69 (2015) 92–103 Contents lists available at ScienceDirect Optics & Laser Technology journal homepage: www.elsevier.com/locate/optlastec Deposition pressure effect on chemical, morphological and optical properties of binary Al-nitrides Jaime Andrés Pérez Taborda a,b,n, J.C. Caicedo c, M. Grisales d, W. Saldarriaga e, H. Riascos a a Universidad Tecnológica de Pereira, Grupo Plasma Láser y Aplicaciones, Colombia Functional Nanoscale Devices for Energy Recovery Group, Institute of Microelectronics of Madrid, Spain c Tribology, Powder Metallurgy and Processing of Solid Recycled Research Group, Universidad del Valle, Cali, Colombia d Universidad De la Amazonia, Colombia e Laboratorio de Materiales Cerámicos y Vítreos, Universidad Nacional de Colombia, Sede Medellín, A.A. 568, Medellín, Colombia b art ic l e i nf o a b s t r a c t Article history: Received 17 August 2014 Received in revised form 3 December 2014 Accepted 8 December 2014 Aluminum nitride films (AlN) were produced by Nd:YAG pulsed laser (PLD), with repetition rate of 10 Hz. The laser interaction on Al target under nitrogen gas atmosphere generates plasma which is produced at room temperature with variation in the pressure work from 0.39 Pa to 1.5 Pa thus producing different AlN films. In this sense the dependency of optical properties with the pressure of deposition was studied. The plasma generated at different pressures was characterized by optical emission spectroscopy (OES). Additionally ionic and atomic species from the emission spectra obtained were observed. The plume electronic temperature has been determined by assuming a local thermodynamic equilibrium of the emitting species. Finally the electronic temperature was calculated with Boltzmann plot from relative intensities of spectral lines. The morphology and composition of the films were studied using atomic force microscopy (AFM), scanning electron microscopy (SEM), X-ray photoelectron spectroscopy analysis (XPS) and Raman Spectroscopy. The optical reflectance spectra and color coordinates of the films were obtained by optical spectral reflectometry technique in the range from 400 nm to 900 nm. A clear dependence in morphological properties and optical properties, as a function of the applied deposition pressure, was found in this work which offers a novel application in optoelectronic industry. & 2014 Elsevier Ltd. All rights reserved. Keywords: Pulsed laser deposition Aluminum nitride Morphology and optical properties 1. Introduction Aluminum nitride (AlN) thin films are applied widespread because they have some excellent properties such as chemical stability, high thermal conductivity, low electric conductivity and wide band gap (6.2 eV). Moreover, it presents a thermal expansion coefficient similar to that of GaAs, and a higher acoustic velocity, making it excellent for optical devices in the ultraviolet spectral region, acoustic optic devices, and surface acoustic wave (SAW) devices. Polycrystalline films exhibit piezoelectric properties and can be used for the transduction of both bulk and surface acoustic waves. Pulsed laser deposition (PLD) growth of AlN films is rather critical because of its tendency to present microcracking. This tendency is more evident with increasing the thickness of the film and when using silicon substrates, particularly in the (100) orientation, while using silicon substrates has been shown to improve n Corresponding author. Present address: Instituto de Microelectrónica de Madrid (IMM-CSIC), Calle de Isaac Newton 8, Tres Cantos, 28760 Madrid, Spain. E-mail address: jaimeandres@ingenieros.com (J.A. Pérez Taborda). http://dx.doi.org/10.1016/j.optlastec.2014.12.009 0030-3992/& 2014 Elsevier Ltd. All rights reserved. the films' growth. Pulsed laser deposition (PLD) using nanosecond pulses is considered to be one of the most promising techniques for the synthesis and deposition of thin films [1–4]. This method has advantages such as high reproducibility, control of the film growth rate and stoichiometry and low impurity concentration in the composition of deposited films. On the other hand aluminum nitride (AlN) exhibits attractive properties such as thermal and chemical stability, high thermal conductivity, high dielectric permittivity, breakdown field, high-speed piezoacoustic wave and mechanical hardness [1]. Many authors in the literature have discussed the effect of growth conditions of AlN thin films deposited by PLD related to the crystallinity, morphology and optical response [5–8]. Clearly, the growth characteristics influence the final properties of the materials in a thin layer, but there is a deficiency in the discussion of the effect produced by the variation of the pressure tank to the variation in color purity layered AlN obtained by PLD. The study of pulsed laser ablation plumes has increased the attention recently due to its importance in laser deposition. The plasma state is often called the fourth state of matter and transient phenomenon in nature with characteristic parameters dependent J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 on the rapidly evolving component species. These parameters are highly dependent on the irradiation conditions, laser intensity, pulse duration, wavelength, composition and atmosphere. Taking into account that the relationship between plasma and morphological quality in the films is very important, in this sense the AlN films are used as substrates for SAW sensors where the surface quality is a decisive factor in the sensors performance [9,10]. So, the goal of this work is to study the effect of the applied deposition pressure on the chemical, morphological properties and optical properties of binary AlN films deposited by PLD on Si (100) for use in optical and electronic applications. Here, using nitrogen as working gas, results on AlN films deposited from Al targets, their characterization by X-ray photoelectron spectroscopy (XPS), Raman Spectroscopy and scanning electron microscopy (SEM) as well as investigations associated to changes in optical response such as reflectance and color purity as function of pressure deposition values were reported. 2. Experimental In this research the experiments were carried out in usual PLD configuration consisting of a laser system into the multiport stainless steel vacuum chamber equipped with a gas inlet, a rotating target and a heated substrate holder. The Nd:YAG laser that provides pulses at the wavelength of 1064 nm with 9 ns pulse duration and a repetition rate of 10 Hz was used. The laser beam was focused with an f ¼23 cm glass lens on the target at the angle of 451, with respect to the normal. The target was rotated to 2.2 rpm to avoid fast drilling. The distance between the target and the substrate was 6.5 cm. The vacuum chamber was evacuated down to 10 6 Pa before deposition by using a turbo-molecular pump backed with a rotary pump. The AlN thin films were deposited in nitrogen atmosphere as working gas, in an atmosphere of nitrogen reactive, the nitrogen gas pressure varied between 0.39 Pa and 1.5 Pa and aluminum target (99.99%). The films were deposited with a laser fluence of 7 J/cm2 for 15 min on silicon (100) substrates. So, the plasma characterization was performed by optical emission spectroscopy (OES) by using a spectrometer model Jobin Yvon Triax 550 of 0.55 m, f ¼6.4 equipped with two gratings of 1200 l/mm and 150 l/mm, coupled to a CCD camera model 3000 air-cooled multi-channel and 512 512 pixels. The crystal structure of the coating was determined by using a D8 Advance Bruker X-ray diffractometer with Cu-Ka (λ ¼1.5405 Å) radiation. For the surface study a scanning electron microscope Philips XL 30 was used . The AlN layers thickness around 150 nm was determined by the design of a step between the substrate and the film. A profiler was used to perform continuous scanning surface that takes into account the film and the substrate area. A Dektak 8000 profilometer device with a tip diameter of 12 70.04 μm, scan length range (X) of 5070.1 μm– 200 70.1 mm, scan height range (Y) from 100 71 nm to 1000 70.1 μm, measurement range 50 A–2.520 kA, vertical resolution (max.) of 1 A, sample thickness (max.) of 63.5 mm, horizontal resolution of 0.0033 um, stylus force from 1 to 100 mg and sample stage theta rotation of 3601 was used. Chemical composition analysis of the coatings was done with a Philips XL 30 FEG scanning electron microscope, an X-ray detector and secondary electrons detector of Lithium Beryllium inside the chamber with the purpose of amplifying the signal in the EDS analysis. Moreover, the XPS also was used on AlN samples to determine the chemical composition and the bonding of aluminum and nitrogen atoms using ESCA-PHI 5500 monochromatic AlKα radiation and a passing energy of 0.1 eV. The surface sensitivity of this technique is so high that any contamination can produce deviations from the real chemical composition; therefore, the XPS 93 analysis is typically performed under ultra-high vacuum conditions with a sputter cleaning source to remove any undesired contaminants. Morphological characteristics of the coatings like grain size and roughness were obtained using an atomic force microscope (AFM) from Asylum Research MFP-3Dr and calculated by a scanning probe image processor (SPIP) which is the standard program for processing and presenting AFM data, therefore, this software has become the de-facto standard for image processing in nanoscale. The Al–N bond was verified by infrared spectroscopy and Raman and Fourier transform infrared spectroscopy (FTIR) characteristics of Al–N vibrational modes were found. Optical reflectance spectra and color coordinates of the samples were obtained by spectral reflectometry in the range of 400–900 nm by means of an Ocean Optics 2000 spectrophotometer. The coated samples received the white light from a halogen lamp illuminator through a bundle of six optical fibers, and the light reflected on the samples was collected by a single optical fiber and analyzed in the spectrophotometer. The fiber was fixed in perpendicular direction to the sample surface. An aluminum deposited by rapid thermal evaporation in high vacuum was used as the reference sample, and the experimental spectra were normalized to 100% reflectance of the reference sample. The morphology on AlN surface films was analyzed by SEM (Leika 360 Cambridge Instruments). 3. Results and discussion 3.1. Optical emission for the AlN plume For the plasma generated by AlN materials a large number of emission lines attributed to emission bands of aluminum nitride was identified. In Fig. 1a, the most intense lines are emission of aluminum species, apparently the main species emitted in the ablation of aluminum species, being once ionized aluminum (Al II). The strongest lines in the spectrum of XII in plasma are at 631.337 nm, for electron configuration 1s3p–1s3d. Atomic spectral lines are also indicating the presence of Al and atomic N2 (Fig. 1b and c). The oxygen presence was observed in optical emission for the AlN with 0.53 Pa and 0.66 Pa, which is a product of contamination in the vacuum chamber. All atomic emission lines were identified through the database of the National Institute of Standards and Technology-NIST. Also emission lines of nitrogen species (neutral and multiply ionized) with most intense peaks at 618.909 nm (N I), 644.902 nm (N III), 740.359 nm (N III) were observed. The emission peak of atomic nitrogen was dominant compared to the emission peaks of atomic aluminum. The oxygen presence is also attributed to low flow of nitrogen gas during the degassing processes. The oxygen species observed are O II (762.882 nm), O III (751.325 nm) and O V (676.585 nm and 743.153 nm). Shown in 509.985 nm an emission band of AlN (0.0) [11] is observed. A second emission band, weaker, is analyzed at 523.060 nm for AlN (1.0) [8]. In this work the oxygen bands only are evidenced for a working pressure of 0.53 Pa. Moreover, in this work participle density in Debye sphere Nd ¼2.46 10 1 m was found. 3.2. Local thermodynamic equilibrium for AlN films In the local thermodynamic equilibrium for AlN it is possible to take into account that the plume is in local thermodynamic equilibrium (LTE) [12], therefore, the emission line intensity (I) in a specific wavelength (λm) may be expressed by Ln I mn λmn Amn g mn ¼ Ln N Emn Z κT e ð1Þ 94 J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 Fig. 1. Optical emission for the AlN plume with different values of nitrogen pressure: (a) emissivity for N2 1st positive system between 600 nm and 800 nm in AlN films as function of deposition pressure, (b) optical emission for the AlN with 0.53 Pa, and (c) optical emission for the AlN with 0. 66 Pa. where λmn is the transition wavelength, Imn is the intensity line transition observed, Amn is the transition probability, gmn is the degeneracy of the upper level, N is the total density of the exited state, Z is the partition function, Emn is the energy of the emitting level, k is the Boltzmann constant and Te is the electronic temperature. A typical plot is reported in Fig. 2 for the emission of the AlN plume. The higher temperature calculated in the presence of N2 under 0.53 Pa can be associated to recombination phenomena which occurs during plume expansion and the thin films deposition, in relation to local thermodynamic equilibrium of the electron density, as shown in the following equation [12]: 3 3 ne Z 1:4 1014 T 12 e ðΔE mn Þ cm ð2Þ where ne is the electron density, Te is the electronic temperature, ΔEmn is the transition from the upper energy level (Em) to the lower energy level (En). In this paper a value of 5.90 1013 cm 1 was reported for the LTE approximation, which agrees with the literature [11–13]. On the other hand nitrogen elements are characteristic for the first and second positive system that occur between 250 nm and 400 nm; although doing different variations in the spectra, such as integration time and the width of the entrance slit, no prominent lines were observed in this range. The relaxation of the excited state of nitrogen in the plasma emission is given by transitions between atomic energy levels or through state transitions of the ionized molecule and not by transitions of the neutral molecule. This suggests that the relaxation process is the recombination of unpaired electrons with the ionized molecules (Fig. 2b). 3.3. Chemical composition 3.3.1. EDS analysis in AlN films The EDS results from the AlN films surface showed the presence of (Al, N, O) element, which is characteristic of those materials. The areas of the peaks were used to calculate the composition of both coatings; thus, the values from Fig. 3 indicated that AlN films were substoichiometrics. On the other hand, a careful correction has to be done in all stoichiometric analyses because EDS has low reliability for nitrogen concentration. In this sense, EDS elemental concentrations were obtained using the ZAF correction method; because certain factors related to the sample composition, called matrix effects associated with (atomic number (Z), absorption (A) and fluorescence (F)), can affect the X-ray spectrum produced during the analysis of electron microprobe J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 -14 Intensity (a.u.) ln ( I λ / g A ) -16 -18 -20 -22 -24 5.6x10 4 4.9x10 4 4.2x10 4 3.5x10 4 2.8x10 4 2.1x10 4 1.4x10 4 7.0x10 3 95 0.0 -26 23 24 25 26 27 28 29 30 31 500 502 504 506 508 510 512 514 516 518 520 λ (nm) Energy (eV) Fig. 2. Local thermodynamic equilibrium: (a) determination of electronic temperature Te ¼8.832.3 K from AlN plume emission in 0.533 Pa N2 by using the line N II and (b) the plasma electron density ne calculated from Stark broadening, for N II transition (2s2p2–4p) 3p at the line 504.871 N II, and the ne ¼201 1019 cm 3. The error bars indicate the standard deviation values of the measurements for all AlN materials films. 65 50 O N 60 Al concentration (%) 45 55 40 50 35 45 Stoichiometric Concentration 30 40 35 25 30 20 N concentration (%) Al 25 20 15 2 4 6 8 10 12 14 16 -1 Deposition Pressure (10 Pa) Fig. 3. Chemical composition by EDS: (a) energy-dispersive X-ray spectroscopy (EDS) values and SEM surface images of AlN films and (b) correlation between work pressure in the Al–N plasma and aluminum, nitrogen and oxygen contents for deposited AlN thin films. The error bars indicate the standard deviation values of the measurements for all AlN systems. 3.3.2. XPS analysis in AlN films The chemical relation between EDS results and XPS was explored in the current research. Thus, the survey spectra of 4x10 3x10 Intensity (c/s) and therefore, these effects should be corrected to ensure the development of an appropriate analysis. The correction factors for a standard specimen of known compositions were determined initially by the ZAF routine. The relative intensity of the peak K was determined by dead time corrections and a referent correction for the X-ray measured. So, before each quantitative analysis of an EDS spectrum for AlN deposited with 9.3 10 1 Pa, a manual background correction and an automated ZAF correction was carried out [14]. Thus, Fig. 3a shows the energy-dispersive X-ray spectroscopy (EDS) values of AlN films deposited with different work pressures. All samples were observed via SEM and chemical analyses were done with an amplification of 20,000 . The presence of oxygen has been often found during the production of AlN, which is normally associated to residual oxygen in the chamber [11]. Fig. 3b shown the dependence of work pressure on decrease of Al content; moreover a little increase in the N concentration in relation to the increase of deposition pressure has been observed. This effect can be associated to high sensitivity of ionic exchange in nitrogen under pressure changes. 2x10 1x10 4 4 4 4 0 1400 1200 1000 800 600 400 Binding energy (eV) 200 0 Fig. 4. XPS spectrum of Al 2p–N 1s from Al–N film as a function of applied pressure. Al 2p, and N 1s in Fig. 4 were recorded from AlN films, as shown in Fig. 5. From Fig. 5(a), the Al 2p peak is composed of a shoulder separated by 1.7 eV with intense peak. The XPS spectrum of Al J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 Al2p Centroid ðeVÞ ¼ AAl 2p3=2 EAl 2p3=2 þ AAl 2p1=2 EAl 2p1=2 AAl 2p3=2 þ AAl 2p1=2 areas without O 1s contribution gives an atomic ratio of Al: N¼ 0.392:0.588, which is similar to the stoichiometry of Al0.40N0.60 [20] and close to EDS results showed in Fig. 3. So, in Fig. 6, it is a clear dependence on the concentration of nitrogen and oxygen in AlN thin films. 3.4. Structural characterization by XRD results The x-ray diffraction patterns for AlN deposited with 9.3 10 1 Pa observed in Fig. 7 are at 37.91 and 44.291, corresponding to AlN c-axis (0002) and AlN (200) orientations respectively. As it can be observed, strong preferential c-axis orientation is obtained for the lower nitrogen–aluminum ratio. The crystallographic orientation of the grains in the film is determined by the preferential growth of certain crystal planes over others. The mechanism of preferential orientation of AlN films can be explained by the crystalline lattice structure generated by AlN configuration materials which is in agreement with optical emission results (Fig. 1), EDS (Fig. 3) and XPS results (Fig. 5). To further obtain information regarding bond formation and structure the polycrystalline hexagonal structure of wurtzite type (file no. 251133 of form JCPDS-ICDD diffraction database) was detected in all 65 60 60 55 55 50 50 45 45 40 40 35 35 30 25 30 4 6 8 10 12 14 -1 Fig. 6. Compositions results from XPS analysis showing the pressure dependence at the concentrations of N and O deposited on Si at 300 1C. Oxygen is the only observed contamination in these films. The error bars indicate the standard deviation values of the measurements for all AlN layers. 4 4 1.6x10 N1s Al2p Al-O 76.27 eV 4 4 1.5x10 Al-N 73.78 eV 4 1.0x10 Intensity (a.u.) Intensity (a.u.) 16 Deposition Pressure (10 Pa) 2.5x10 4 70 65 ð3Þ where A is the sub-peak integrated area and E is the adjusted subpeak binding energy in eV. Therefore, calculation of the peak 2.0x10 75 N O 70 Composition (at.%) 2p can be fitted well by two Gaussian functions. The value of binding energies obtained for the Al 2p peak was 73.9 eV and the higher value for Al 2p was 75.9 eV, respectively. According to the literature [15–17] for the Al 2p peak, the first one (73.9 eV) and the second one (75.9 eV) can be assigned to Al–N and Al–O bonds respectively. The appearance of the peak at 73.9 eV clearly shows that Al has reacted with N; therefore, it can be assigned to AlN [16,17]. In Fig. 4 N 1s peak is composed of spin doublets, each separated by 2.9 eV. The XPS spectrum of N 1s can be fitted well by two Gaussian functions which depicts the N 1s spectrum with values at 397.3 eV and 400.2 eV characteristic for N–N and Al–N bonds, respectively [18,19]. The high resolution X-ray photoelectron spectroscopy (XPS) results for AlN deposited with 9.3 10 1 Pa demonstrate that Al atoms bonded to N in the form of nitride, because the elemental concentration of the Al–N film was obtained by adjusting the laser incidence on Al target and N2 was the working gas in this research; it was discovered that amounts of Al–N in the AlN film were maximum in the current establishment of process conditions and the ratio of Al to N in the film was about 2:1. Generally, formative Al–N phase indicates that the aluminum and nitrogen activity and activation energy provided by the present deposition conditions are enough for the formation of AlN thin film. Although the surface temperature of the substrate during deposition of AlN film is around 300 1C, the substrate lies in a high-density plasma region and a high ion-to-atom ratio of aluminum and nitrogen can be propitious to the formation of AlN phase at the low temperature below 330 1C. All aluminum-nitride films with all Al 2p peaks were fitted as one or more pairs of spin–orbit split sub-peaks with a separation of 0.4 eV between the Al 2p3/2 and Al 2p1/2 components (Fig. 5a). The ratio of the area of the 2p3/2 component to the area of the 2p1/2 component was fixed at 2:1. Moreover all N 1s peaks were fitted as one or more pairs of spin–orbit split subpeaks with a separation of 0.2 eV, sowing the N–Al bound centered in 399.66 eV and N–N centered in 402.23 eV (Fig. 5b). All Al 2p sub-peaks were fitted as 95% Gaussian. For this study, the binding energy of a fitted Al 2p spin–orbit sub-peak pair is reported as the centroid of the pair. The centroid of the spin–orbit pair in eV was calculated as shown Composition (at.%) 96 1.2x10 N-Al 399.66 eV 3 8.0x10 3 4.0x10 3 5.0x10 N-N 402.23 eV 0.0 0.0 80 79 78 77 76 75 74 73 72 71 70 Binding energy (eV) 406 404 402 400 398 396 394 Binding energy (eV) Fig. 5. High-resolution XPS spectrum of: (a) Al 2p and (b) N 1s, where the few formation of oxy-nitride N–Al–O and Al–N bonds are observed to occur at different temperatures. J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 films. Such one axial hexagonal texture with c-axis perpendicular to the Silicon substrate has been detected in AlN films. As the (103) planes make a large angle with the (200) ones, the (103) diffraction is competitive to the (0002) one in terms of texture and the ratio is thus directly related to the contribution of the hexagonal (0002) texture component. 3.5. Vibrational characterization by FTIR and Raman results deposited films there is residual stress that induces the shift of the FTIR peaks from their characteristic positions. It can be due to the non-equilibrium nature of PLD [20–22]. In this sense the AlN normally crystallize in the hexagonal wurtzite structure (space group C46v-P63mc) with four atoms in the unit cell. Then, from Raman results, in Fig. 8b for AlN deposited with 9.3 10 1 Pa it was possible to observe that the k ¼0 point group theory predicts the following eight sets of modes: 2A1 þ 2B þ 2E1 þ 2E2 of which one Al, one El, and two E2 are Raman active. One set of A1 and one of E1 correspond to acoustic phonons. The B modes are silent [1]. Note that phonons with E1 and E2 symmetry, respectively, are twofold degenerate. The modes with A1 and E1 symmetry are also infrared active. The frequencies are all measured with an error of 71 cm 1. Moreover Table 1 shows the FTIR and Raman active modes associated to Al–N vibrations [7–10]. The FTIR and Raman spectra are in good agreement with the optical emission results (Fig. 1), EDS (Fig. 3), XPS results (Fig. 5) and XRD results (Fig. 7), which confirm the formation of large hexagonal AlN material films. Table 1 Vibrational modes reported in the literature for hexagonal aluminum nitride films. AlN (103) Si - Substrate AlN (200) Intensity (u.a) AlN (0002) FTIR spectrometry measurements were carried out for the same films previously analyzed by XRD. It was reported that crystalline AlN exhibits characteristic transverse optical (TO) and longitudinal optical (LO) modes. Fig. 8a shows FTIR spectra of a spectrum for AlN deposited with 9.3 10 1 Pa in the range of 468–800 cm 1; after deconvolution the respective modes are active in the infrared observed, especially a narrow band centered at 680 cm 1 which may be attributed to the contribution of the phonon mode E1 (TO) of the w-AlN as well as the presence of five bands around 485 cm 1, 520 cm 1, 615 cm 1, 655 cm 1 and 691 cm 1, associated with Al–O bonds characteristic of a symmetric stretching, Al–N non-stoichiometric phases (AlxNy), the phonon mode A1 (TO) of hexagonal AlN, the LO phonon mode of AlN hexagonal and hexagonal Al–N, respectively. Inside the P = 0.93 Pa 30 35 40 45 50 55 2θ (Degrees) 60 65 97 Mode symmetry Frequency (cm 1) Reference E2 665 303 426 [7] [10] [10] A1 (TO) 667 659 [7] [8–9] E1 (TO) 667 672 671 614 [7] [8] [9] [10] A1 (LO) 910 897 888 663 [7] [8] [9] [10] E1 (LO) 910 912 895 821 [7] [8] [9] [10] 70 Fig. 7. XRD results showing the polycrystalline hexagonal structure of AlN wurtzite (file no. 25-1133 of form JCPDS-ICDD diffraction database) deposited on Si (100) substrates at 300 1C and a pressure of 0.93 Pa nitrogen. 96 Raman Intensity Transmittance (%) 100 92 88 84 480 560 640 720 Wavenumber (Cm-1) 800 600 650 700 750 800 850 900 Wavenumber (Cm-1) Fig. 8. Vibrational analysis for AlN materials films: (a) FTIR spectroscopy of AlN films deposited on Si (100) substrates at 300 1C and a pressure of 0.93 Pa nitrogen with E2 (high) phonon mode and (b) Raman shift measures of AlN films deposited with 9.3 10 1 Pa where it was possible to observe that the k ¼ 0 point group theory predicts the following eight sets of modes. 98 J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 3.6. Surface topography and morphological results analyzed by AFM and SEM The observed dependence of the AlN films surface morphology under nitrogen pressure during deposition is closely related with the film growth mechanism, associated to the surface diffusion length (L) which is given by [20] L ðDτÞ1=2 ð4Þ where D is the diffusion coefficient and τ is the residence time of adatoms. Larger values of diffusion length imply more time for the adatoms to find energetically favorable lattice positions, thus, reducing the density of surface defects and improving the crystal quality. Associating Eq. (4), Table 1 and Fig. 9 it is possible to show the surface morphology of AlN films. Therefore, the changes on morphological surface as functions of increase in the deposition pressures were studied by recording AFM images along with SEM micrographs. These results evidence the random distribution of micro-particles or micro-droplets on these surfaces as a function of deposition pressure (0.66 Pa and 0.53 Pa). Thus, the deposition pressure affects clearly the increase of grain size, roughness and micro-drops; this can be possible due to low surface mobility when the pressure was varied from 0.39 Pa to 1.5 Pa. This surface mobility reduces the possibility that the micro-drops are anchored on the surface when arriving with high energy on AlN film. Other possible reason can be associated with the mean free path that produces surface diffusion of nano-drops or micro-drops which can decrease the overall number of particles, also affecting the boundaries sizes. In this sense it was presented in Table 2 the surface roughness, grain size for AlN films grown at 0.39 and 0.53 Pa, and their optical emission lines due to optical emission spectrometry signals from AlN plasma. 3.7. Optical reflectance analysis of AlN films The reflectivity measure is the fractional amplitude of the reflected electromagnetic field, while reflectance refers to the fraction of incident electromagnetic power that is reflected at an interface. The reflectance is thus the square of the magnitude of the reflectivity. The reflectivity can be expressed as a complex number as determined by Fresnel's equations for a single layer, whereas the reflectance is always a positive real number. In certain fields, reflectivity is distinguished from reflectance by the fact that reflectivity is a value that applies to thick reflecting objects. When reflection occurs from thin layers of material, internal reflection effects can cause the reflectance to vary with surface thickness. Reflectivity is the limit value of reflectance as the surface becomes thick; it is the intrinsic reflectance of the surface, hence irrespective of other parameters such as the reflectance of the rear surface. On the other hand, the dominant wavelength of a color stimulus is defined as the wavelength of the monochromatic stimulus that, when additively mixed in suitable proportions with the specified achromatic stimulus, matches the color stimulus considered [21]. Taking into account the above, an example in thin film calculator in OptiScan is given to calculate the reflectance and transmittance of Krestchmann configuration which generate surface plasma resonance at a certain incident angle. Unfortunately the other properties of the surfaces, such as reflectance, transmittance, or phase change, are rarely satisfied. However the thin films are commonly used to modify these properties without altering the specular behavior. In an optical coating, the films, together with their support, or substrate, are generally solid [22]. The particular materials used for the AlN films vary with the applications. It is possible to construct assemblies of thin films which will reduce the reflectance of a surface and hence increase the transmittance of a component, or increase the reflectance of a surface, or which will give high reflectance and low transmittance over part of a region and low reflectance and high transmittance over the remainder and so on. In this sense in the current work for AlN films the reflectance, R was taken as the ratio of the irradiance of the reflected beam to that of the incident beam, and transmittance, T, as the ratio of the irradiance of the transmitted beam to that of the incident beam, and defined as follows [22,23]: η Y η Y n 4η0 ReðYÞ R¼ 0 U 0 ; T¼ ð5Þ η0 þ Y η0 þ Y ðη0 þ YÞ U ðη0 þ YÞn where R is the reflectance, T is the transmittance, η0 is the surface admittance for incident medium, and Y is the surface admittance of the thin films and substrate; moreover the effects of multiple films are included in the surface admittance. Each layer generates a matrix in the equation which will change the electric and magnetic fields [22,23]. Table 2 Surface roughness, grain size for AlN films grown at 0.39 and 0.53 Pa, and their optical emission lines due to optical emission spectrometry signals from AlN plasma. Pressure (Pa) Roughness (nm) Grain size (nm) %At (Al) %At (N2) OES 0.39 3.8 85.2 26.30 50.85 0.53 3.6 62.9 23.70 58.80 Al XII—N III—O V AlN (0.0) AlN (1.0) Al XII—N II—O III Fig. 9. Deposition conditions as functions of morphological properties: (a) Relationship among surface roughness, grain size with plasma pressure and (b) SEM micrograph and AM images for AlN thin films deposited with a pressure of 0.66 Pa and 0.53 Pa. J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 In this work the AlN films have been compared with pure aluminum because the aluminum mirror finish has the highest reflectance of any metal in the 200–500 nm range and the 3000– 10,000 nm range (far IR) regions, while in the 500–700 nm visible range it is slightly outdone by AlN and silver, but in the 700– 3000 nm range (near IR) it is slightly outdone by gold and copper materials [24]. Fig. 10 shows the optical reflectance spectra of the AlN single layers obtained at different deposition pressures. The reflectance of the aluminum and the eye sensibility are shown for comparison. The spectra of the samples show high reflectance for long wavelengths, near to 62% for the AlN films deposited with 4 10 1 Pa and close to 28% for AlN films deposited with 1.5 Pa. These values of reflectances at these wavenumbers agree well with previous reports in the literature for AlN films [25,26]. However in this work it was observed that the minimum of reflectance at 550 nm is due to interference effect in reflected light. However a clear decrease in reflectivity for short wavelengths is seen, characteristic of a system with high free electron density with a reflectance edge below 530 nm due to a screened plasma resonance [27]. The white and aluminum colors of the AlN films are a result of the steep plasma reflection edge that occurs in the visible region where the reflectivity minimum is around 540 nm. The reflectance values for AlN films are in good agreement with the optical emission results (Fig. 1), EDS (Fig. 3), XPS results (Fig. 5), XRD results (Fig. 7), FTIR-Raman spectra (Fig. 8), and AFM-SEM results (Fig. 9). The reflectance values for AlN films are in good agreement with the optical emission results (Fig. 1) by the spectral signals Al XII (631.337 nm) and NI (618.909 nm), characteristics of AlN, EDS (Fig. 3) with XPS (Fig. 5) results because of the AlN adjusted stoichiometry strapped with bounds from Al 2p and N 1s spectral signals (Al–N 73.78 eV), XRD results (Fig. 7) associated with polycrystalline hexagonal structure of wurtzite type (0002) adjusted to high reflectance, FTIR-Raman spectra (Fig. 8) due to vibrational signals typical of AlN with suitable optical whining (Al–N E1(TO) 678.8 cm 1 and Al–N A1(TO) 692.5 cm 1), and AFM-SEM results (Fig. 9) associated with superficial morphology and adjusted to the other physical and chemical characteristics discussed above absorbs and disperses spectral lines of light incident at the rank of major optical reflectance [28]. Moreover in this research high dependency on reflectance percentages in this work was found when the deposition pressure was varied from 0.39 Pa to 1.5 Pa, therefore, the changes in optical properties can be related not only with changes on temperature deposition but also with changes generated on morphology surface films due to variation of deposition pressure (Fig. 11a). Fig. 11a exhibits one constant region for wavelength of 760–800 nm; in those regions it is possible to appreciate the effect of the deposition pressure on reflectance of the films. Fig. 11b shows the decrease of reflectance when the deposition pressure is increased, which indicates that pressure also promotes the absorbance in the AlN deposited via PLD. Moreover the error bars of the values presented in Fig. 10 were obtained at the base of the uncertainty in adjusting of reflectance curves as a function of wavelength, to assign values to the parameters determined by fitting (reflectance or transmittance for AlN films). Therefore, the reflectance values shown in Fig. 11b (filled triangles) are the average of data obtained in each run and thus have their respective error bars. In this sense the error bars indicate the standard deviation values of the measurements for all AlN films [28]. From the reflectance spectra a weak but clear effect of deposition pressure on the optical properties is seen. As the pressure is decreased, the reflectance of the films tends to be higher in the near infrared region, while the minimum in reflectance, between 562 nm and 571 nm for all AlN films. 100 90 Reflectance (%) 80 70 60 50 40 30 20 10 0 400 500 600 700 Wavelengeth (nm) 800 99 900 Fig. 10. Dominant wavelength and color purity results: (a) Optical reflectance of AlN films deposited onto Si (100) substrates at different deposition pressures (0.39–1.5 Pa); aluminum optical reflectance and eye sensibility were also plotted as references. 70 70 65 65 60 Reflectance (%) Reflectance (%) 60 55 50 45 40 35 30 55 50 45 40 35 30 25 20 760 765 770 775 780 785 790 795 800 Wavelength (nm) 25 0.4 0.6 0.8 1.0 1.2 1.4 1.6 Deposition pressure (Pa) Fig. 11. Reflectance dependency: (a) Reflectance of AlN films deposited onto Si (100) substrates at different deposition pressures of 760–800 nm wavelength and (b) reflectance as function of deposition pressure. The error bars indicate the standard deviation values of the measurements for all AlN films. 100 J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 0.9 Table 3 Optical characteristics for AlN films deposited at 300 1C onto Si substrate. 0.8 0.7 Y Axis 0.6 0.5 Deposition pressure (Pa) Dominant wavelength (nm) Color purity Axis X Axis Y 4.0 10 1 5.3 10 1 9.3 10 1 1.5 Reference aluminum 571 570 567 562 574 0.71 0.66 0.63 0.62 0.90 0.3329 0.343 0.242 0.210 0.358 0.341 0.362 0.123 0.119 0.371 0.4 Dominant wavelength and color purity have been determined from the reflectance spectra of all films. The color purity changes with the deposition pressure, in this study ranges from 0.39 Pa to 1.5 Pa for AlN films, away from the color purity of pure aluminum (0.90), confirming that the films are less white compared with the aluminum. So, the results of color measurement indicate that all films reflect a hue slightly shifted far to the white as compared to aluminum reflectivity and with similar color purity (Table 3). The dominant wavelength was varied for all the samples, from 562 nm to 570 nm. AlN films deposited with lower pressure are situated little close to that of pure aluminum reference (574 nm). 0.3 0.2 0.1 0.0 0.0 0.1 0.2 0.3 0.4 X Axis 0.5 0.6 0.7 Fig. 12. Chromatic diagram, in the x, y coordinates, of the reflectivity for AlN films. White coordinates of achromatic point are located at (1/3, 1/3). 3.8. Dominant wavelength and color purity analysis of AlN films 3.8.1. Dominant wavelength In order to calculate dominant wavelength for AlN films, it was necessary first introduce the identification of a color by its “x–y chromaticity coordinates” as plotted in the Chromaticity Diagram (Fig. 12). The diagram enables to quantitatively graph the hue and saturation of a particular color by its dominant wavelength and excitation purity, respectively [29]. The first step in calculating the chromaticity coordinates is to compute the “tristimulus values” of a particular filter with a particular illumination for AlN films. Loosely, the tristimulus values can be thought of as the amount of red, green, and blue in the filter, but the correspondence is not quite that simple. These values are based on the empirically determined CIE Color Matching Functions X (λ), Y(λ), and Z (λ) [29]. Note that we typically use the CIE 1931 2-degree field-of-view standard, as this one is the most well-known and widely used. It is useful to note that by definition the y (λ) Color Matching Function is identical to the Photopic Curve V(λ), or y (λ) V(λ). The Color Matching Functions can also be obtained from numerous sources presented in the literature [29,30]. In this sense the tristimulus values X, Y, and Z are then given by Z 1 X¼ IðλÞTðλÞχ ðλÞdλ ð6Þ 0 Z Y¼ 0 Z Z¼ 1 1 0 IðλÞTðλÞyðλÞdλ IðλÞTðλÞzðλÞdλ ð7Þ ð8Þ For determination of dominant wavelength in AlN films (Table 3), one simply constructs a line between the chromaticity coordinates of the reference white point on the diagram (for instance, CIE-E, CIEC, etc.) and the chromaticity coordinates of the filter and then extrapolates the line from the end that terminates at the filter point. The wavelength associated with the point on the horseshoe-shaped curve at which the extrapolated line intersects is the dominant wavelength [30]. 3.8.2. Color purity Once the line is constructed to determine the dominant wavelength, it is very straightforward to calculate the excitation purity (color purity) of a color that represents the filter transmission. The excitation purity applied for AlN films is defined to be the ratio of the length of the line segment that connects the chromaticity coordinates of the reference white point and the color of interest to the length of the line segment that connects the reference white point to the dominant wavelength [31]. These line segments are illustrated in Fig. 12. As pointed out above, the excitation purity is a well-defined quantitative measure of the saturation of a particular color. The larger the excitation purity, the more saturated the color appears, or the more similar the color is to its spectrally pure color at the dominant wavelength. The smaller the excitation purity, the less saturated the color appears, or the more white it is. Pastel colors are very poorly saturated, for example. When there is no well-defined dominant wavelength, the excitation purity is still defined as described above, except that the denominator should be taken as the length of the line segment between the reference white point and the point at which the dominant wavelength construction line intersects the line that contains the purple colors near the bottom of the diagram. For every wavelength in the spectrum (e.g. AlN films), is possible to calculate (X,Y,Z) from CIE color matching functions. Therefore the Plot (x,y) for all wavelengths in the spectrum generates a horseshoe shaped diagram thus, all physical colors lie inside the horseshoe. Finally the color, as determined from the tristimulus values, can now be represented graphically on a two-dimensional graph called the Chromaticity Diagram with x–y coordinates on this graph which are given by [31–33] χ¼ X Y ; y¼ X þY þZ X þY þZ ð9Þ Taking into account the last discussion, the excitation purity (purity for short or color purity) of a stimulus is the difference from the illuminant's white point to the furthest point on the chromaticity diagram with the same hue (dominant wavelength for monochromatic sources); using the CIE 1931 color space given by [31] sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ðx xn Þ2 þ ðy yn Þ2 pe ¼ ð10Þ ðx1 xn Þ2 þ ðy1 yn Þ2 101 0.74 Aluminum 574 (nm) 572 0.72 570 0.70 Color purity Dominant wavelength (nm) J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 568 566 564 0.66 0.64 0.62 562 560 0.68 AlN 300 °C Aluminium (0.90) 0.4 0.6 0.8 1.0 1.2 1.4 0.60 Aluminium (0.90) 0.4 1.6 0.6 0.8 AlN 300 °C 1.0 1.2 1.4 1.6 Deposition pressure (Pa) Deposition pressure (Pa) Fig. 13. Color results for AlN films deposited with 0.93 Pa: (a) dominant wavelength as function of deposition pressure and (b) color purity as a function of deposition pressure. The error bars indicate the standard deviation values of the measurements for all AlN films. where (xn, yn) is the chromaticity of the white point and (xI, yI) is the point on the perimeter whose line segment to the white point contains the chromaticity of the stimulus. Different color spaces, such as CIELAB or CIELUV may be used, and will yield different results. Taking into account the last discussion in the Fig. 13a are observed the differences in the dominant wavelength for all AlN films deposited with different deposition pressures. In Fig. 13b the influence of deposition pressure on color purity can be observed. This graph shows the increase of purity values towards color gray purity. The wavelength is an important optical characteristic for different materials in relation with the changes observed in AlN plasma (Figs. 1–3). Moreover the dominant wavelength and color purity values for AlN films are in good agreement with the optical emission results (Fig. 1), EDS (Fig. 3), XPS results (Fig. 5), XRD results (Fig. 7), FTIRRaman spectra (Fig. 8), AFM-SEM results (Fig. 9) and the reflectance values (Figs. 10 and 11) which confirm the susceptibility that present the AlN films in terms of dominant wavelength and color with changes in deposition pressure. So, when the wavelength in the AlN layers is changed it is possible to observe that natural color is changed. In this sense the purity color dependence and other optical constant dependence in AlN films with pressure obtained in this work demonstrate the possibility of some purity color control. The last discussion can be proved observing the changes in the optical energy gap, plasma frequency and refractive index as a function of deposition pressure (Table 4). In this sense the error bars of the values presented in Fig. 12 were obtained at the base of the uncertainty in adjusting chromatic diagram for different disposition pressures, to assign values to the parameters determined by fitting (dominant wavelength and color purity for AlN layers). Therefore, these optical constant values shown in Fig. 13 (filled, circles and squares) are the average of data obtained in each run and thus have their respective error bars. In this sense the error bars indicate the standard deviation values of the measurements for all AlN films. 3.9. Optical energy gap, plasma frequency and refractive index 3.9.1. Optical energy gap In crystalline semiconductors, equation (11) has been obtained to relate the optical energy gap (Egap) with absorption coefficient from reflectance results given by [34] αðvÞhv ¼ Bðhv Egap Þ m ð11Þ where Egap is the optical energy gap, B and hυ are the optical gap constant, and incident photon energy, respectively; α(v) is the Table 4 Optical constants (energy gap, plasma frequency and refractive index) for all AlN films as function of deposition pressure. Deposition pressures (Pa) Optical energy gap (eV) Plasma frequency (cm 1) Real refractive index 4.0 10 1 5.3 10 1 9.3 10 1 1.5 10 1 6.2 5.9 5.5 5.3 4125 3873 3220 3210 2.194 2.175 2.154 2.149 absorption coefficient defined by Beer–Lambert's law as α(v) ¼ 2.302 Abs(λ)/d where d and Abs are the film thickness and film absorbance, respectively. For more precise determination of α, it is necessary to perform corrections to the absorption due to reflection; also, m is the index which can have different values of 1/2, 3/2, 2, and 3 [34]. In this sense the optical energy gap as function of deposition pressures for AlN films has been presented in Table 4. 3.9.2. Plasma frequency The plasma frequency (ωp) is the most fundamental time-scale in plasma physics. Clearly, there is a different plasma frequency for each species. However, the relatively fast electron frequency is, by far, the most important, and references. So, it is easily seen that ωp corresponds to the typical electrostatic oscillation frequency of a given species in response to a small charge separation. For instance, consider a one-dimensional situation in which a slab consisting entirely of one charge species is displaced from its quasi-neutral position by an infinitesimal distance, associated to higher charge carrier concentration with the higher the plasma frequency. Therefore, plasmon oscillations for different materials are excited in different spectral regions. Thus, in many semiconductors like (AlN), the plasma reflection edge can be found in the reflectance as functions of wavelength. The spectral position of the plasma reflection edge depends on the charge carrier concentration according to Eq. (12) [35]. Taking into account the above the plasma frequency (ωp) as a function of deposition pressures for AlN films [36] has been presented in Table 4 ωp ¼ 1=2 1 4π Ne2 2 π c mn ε 1 ð12Þ where ωp is the plasma frequency, N is the free electron density, e is the electron charge, mn is the effective mass of electrons, and ε1 is the high frequency dielectric constant and c is the velocity of light. 102 J.A. Pérez Taborda et al. / Optics & Laser Technology 69 (2015) 92–103 3.9.3. Refractive index It is known that several widely used methods of analyzing reflectance (R) and transmittance (T) for a supported thin film neglect the effect of the rear surface of the substrate. Equations are given which relate R and T to the complex refractive index (n-ik) and thickness of the thin film, and a method for their solution has been described. This relies on Powell's technique, and permits changes to be made to the equations relating R, T to (n-ik). This flexibility has allowed the calculation of the effect of the neglect of the rear of the substrate. An example is given of the use of the method for the determination of refractive index (n-ik). In this research aluminum nitride (AlN) with wurtzite phase (w-AlN) with a wide band gap (6.2 eV) for semiconductor material was used, giving it potential application for deep ultraviolet optoelectronics. The refractive index for all AlN films is shown in Table 4. The refraction index has been calculated from relation which holds for the reflectance measurements [37] 2nd ¼ N λ ð13Þ where n is the refraction index, d is the sample thickness, and N is the interference order. The interference order was determined graphically. In the region where the refraction index is weakly dependent on λ (λ 44500 Å) the dependence of N on 1/λ is practically linear, and in the case of sufficiently thin sample N may be determined precisely from the intersection of this line with the y-axis. 4. Conclusions A dependency in relation to nitrogen concentration, roughness and grain size in the AlN films with the nitrogen work pressure was found in this work, increasing in this sense the nitrogen concentration and the roughness on AlN films. The plasma pressure affects the stoichiometry and the morphological nature in the AlN films. The variation of nitrogen work pressure exhibits low effect on intensity of the spectral lines emitted. The electron temperature value (Te ¼8832.3 K) presented in the aluminum nitride plasma is similar to previous works. Structural and compositional results show that the thin films deposited at a temperature of 300 1C improved orientation of hexagonal AlN increases as the reflectance values for the lower deposition pressures. X-ray photoelectron spectroscopy (XPS) confirmed the formation of the binary films AlN. For AlN films the pressure deposition has a marked influence on the optical properties. 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