Quantum Transport and Dynamics in Nanostructures The 4th Windsor Summer School on Condensed Matter Theory 6-18 August 2007, Great Park Windsor (UK) Physics of Nanotubes, Graphite and Graphene Mildred Dresselhaus Massachusetts Institute of Technology, Cambridge, MA Physics of Nanotubes, Graphite and Graphene Outline of Lecture 1 - Nanotubes • • • • • Brief overview of carbon nanotubes Review of Photophysics of Nanotubes Phonon assisted Photoluminescence Double wall carbon nanotubes Nano-Metrology Carbon Nanotube researchstill a growing field • • 1991 nanotube observation by Sumio Iijima (NEC) opening field number of publications is still growing exponentially 6000 5000 4000 3000 2000 1000 0 1991 1996 2001 2006 number of publications containing “Carbon Nanotube” vs. time Iijima, S., Helical Microtubules of Graphitic Carbon. Nature, 1991. 354(6348): p. 56-58. Carbon Nanotubes (5,5) Armchair Nanotube (9,0) Zigzag Nanotube (6,5) Chiral Nanotube (n,m) notation focuses on symmetry of cylinder edge Carbon materials • • • • • • • • • • • • • • • • Diamond Graphite (hexagonal, rhombohedral) HOPG (highly oriented pyrolytic graphite) Pyrolytic graphite Turbostratic graphite Kish graphite Liquid carbon Amorphous carbon Carbon and graphitic foams Carbon fibers Fullerenes Nanotubes Nanohorns Graphene fibers and scrolls Graphene Graphene ribbons 3D, 2D, 1D Carbon Materials Diamond sp3 (3D) 1332 cm-1 Graphite Chain sp2 (2D) 1582 cm-1 sp1 (1D) 1855 cm-1 All are Raman active with characteristic frequencies Unique Properties of Carbon Nanotubes within the Nanoworld graphene sheet armchair SWNT • Size: Nanostructures with dimensions of ~1 nm diameter (~10 atoms around the cylinder) • Electronic Properties: Can be either metallic or semiconducting depending on diameter and orientation of the hexagons zigzag • Mechanical: Very high strength, modulus, and resiliency. Good properties on both compression and extension. chiral • Physics: 1D density of electronic states • Single molecule Raman spectroscopy and luminescence. • Single molecule transport properties. • Heat pipe, electromagnetic waveguide. One Dimensional Systems: • High aspect ratio • Enhanced density of states • Single wall carbon nanotubes SWNT:Nanowire Chirality and diameter-dependent properties E 3D Bulk Semiconductor D. O. S. D. O. S. D. O. S. D. O. S. Nanotube E 2D Quantum Well E E 1D Quantum Wire 0D Quantum Dot Nanotube Structure in a Nutshell (4,2) Graphene Sheet SWNT Rolled-up graphene layer Large unit cell. G G G C h = na1 + ma 2 ≡ ( n , m ) L a ⎧ 2 2 d n nm m = = + + t ⎪⎪ π π ⎨ 3m ⎪θ = tan − 1 ⎪⎩ 2n + m Each (n,m) nanotube is a unique molecule R.Saito et al, Imperial College Press, 1998 Electronic structure of a carbon nanotube Rolling up 2D graphene sheet Confinement of 1D electronic states 1D van Hove singularities high density of electronic states (DOS) at well defined energies Graphene ribbons resemble nanotubes in some ways Metal or Semiconductor ? R. Saito et al., Appl. Phys. Lett. 60, 2204 (1992) • Density of States • Depending on Chirality, Diameter metal ⎧ 3p n−m = ⎨ ⎩3 p ± 1 semiconductor Each (n,m) nanotube is a unique molecule Armchair graphene ribbons can be M or S Egap ∝ 1/ dt Physics of Nanotubes, Graphite and Graphene Outline of Lecture 1 - Nanotubes • • • • • Brief overview of carbon nanotubes Review of Photophysics of Nanotubes Phonon assisted Photoluminescence Double wall carbon nanotubes Nano-Metrology Resonance Raman Spectroscopy (RRS) A.M. Rao et al., Science 275 (1997) 187 RRS: R.C.C. Leite & S.P.S. Porto, PRL 17, 10-12 (1966) Raman spectra from SWNT bundles • Enhanced Signal 9 Optical Absorption 9 e-DOS peaks E = 0.94eV = 1.17eV π π∗ = 1.58eV = 1.92eV diameter-selective resonance process ωRBM = α / dt = 2.41eV Resonant Raman Spectra of Carbon Nanotube Bundles M. A. Pimenta (UFMG) et al., Phys. Rev. B 58, R16016 (1998) G-band resonant Raman spectra laser energy G-band dt = 1.37 ± 0.18 nm Diameter dependence of the Van-Hove singularities Single Nanotube Spectroscopy yields Eii, (n,m) Resonant Raman spectra for isolated single-wall carbon nanotubes grown on Si/SiO2 substrate by the CVD method RBM A. Jorio (UFMG) et al., Phys. Rev. Lett. 86, 1118 (2001) Metallic ' Semiconducting Each nanotube has a unique DOS because of trigonal warping effects R. Saito et al., Phys. Rev. B 61, 2981 (2000) Raman signal from one SWNT indicates a strong resonance process (ωRBM, Eii) Æ (n,m) Raman Spectra of SWNT Bundles Metallic G-band G-band G+ G- Raman Intensity G+ o G+ GRBM: ωRBM∝ 1/dt G′-band D-band Raman Shift (cm−1) •RBM gives tube diameter and diameter distribution •Raman D-band characterizes structural disorder •G- band distinguished M, S tubes and G+ relates to charge transfer •G’ band (2nd order of D-band) provides connection of phonon to its wave vector Water, 1.1 g/cm3 SDS Band Gap Fluorescence 1.0 g/cm3 1.2 g/cm3 SDS=Sodium Dodecyl Sulfate 2 Energy [eV] c2 Excitation (nm) M. J. O’Connell et al., Science 297 (2002) 593 S. M. Bachilo et al., Science 298 (2002) 2361. Peaks only c1 0 fluorescence absorption v1 v2 –2 0 Density of Electronic States e-DOS of (n, m) = (10,5) Emission (nm) Initially (n,m) assignments were made by empirical excitation-emission pattern PHOTOLUMINESCENCE SDS-wrapped HiPco nanotubes in solution S. M. Bachilo et al., Science 298, 2361 (2002) 2n+m=constant family patterns are observed in the PL excitation-emission spectra Identification of ratio problem Showed value of mapping optical transitions Perhaps this technique can be applied to study graphene ribbons Raman Mapping of a Nanotube G-band @ 1600cm-1 4 40 Silicon @ 520cm-1 RBM @ 173cm-1 4 x 10 40 x 10 9 40 4 2.5 8 20 20 2 2 2 -2 800 -20 -2 600 0 (µm) 1.5 7 0 0 (µm) 0 (µm) 2 0 0 -20 20 1000 6 -20 5 -2 4 -40 -40 -4 1 -40 -4 400 -60 -60 -6 0.5 -4 3 -60 -6 200 -80 2 -6 -80 1 -80 -8 -2 -10 -100 -20 -8 0 0 0 20 2 (µm) 0 -100 -20 -2 -10 0 0 20 2 (µm) H. Son et al. unpublished (2006) -8 -100 -20 -2 -10 0 0 20 0 2 (µm) Resonance Raman Spectroscopy on the same sample used for PL E33S E11M E22S RRS 2n+m = constant family behavior is observed E33S Fantini (UFMG) et al. PRL (2004) showed RRS and PL give the same Eii Family effects are mainly due to trigonal warping E11M E22S simple tight binding (sTB) sTB γ0=2.9eV The simple TB does not describe Eii correctly! EXTENDED TIGHT BINDING MODEL Kataura plot is calculated within the extended tight-binding approximation using Popov/Porezag approach: Transition Energy (eV) curvature effects (ssσ, spσ, ppσ, ppπ) long-range interactions (up to ~4Å) geometrical structure optimization The extended tight-binding calculations show family behavior (differentiation between S1 & S2 and strong chirality dependence) similar to that of the PL empirical fit Inverse Diameter (1/nm) M 2n+m=3p S1 2n+m=3p+1 S2 2n+m=3p+2 Family behavior is strongly influenced by the trigonal warping effect Ge.G. Samsonidze et al., APL 85, 5703 (2004) N.V. Popov et al Nano Lett. 4, 1795 (2004) & New J. Phys. 6, 17 (2004) 2n+m families in SWNTs R. Saito et al., Phys. Rev. B, 72, 153413 (2005) Brillouin zone (BZ) 2D graphene BZ SWNT BZ K K’ type I type II Family 0 : metal mod (2n+m, 3) = 1 : type I SC 2 : type II SC 2n+m = const family type I – type II separation (example) (8,0), (7,2), (6,4) → 2n+m = 16 type I family Physics of Nanotubes, Graphite and Graphene Outline of Lecture 1 - Nanotubes • • • • • Brief overview of carbon nanotubes Review of Photophysics of Nanotubes Phonon assisted Photoluminescence Double wall carbon nanotubes Nano-Metrology DNA wrapping of SWNTs DNA Wrapping: Æ provides good separation of CoMoCAT SWNT sample Subsequent fractionation: Æ results in sample strongly enriched in (6,5) species M. Zheng, et al. Science 302, 1546 (2003) Average DNA helical pitch ~ 11nm, height ~ 1.08nm. DNA-Assisted SEPARATION M. Zheng et al., Science, 302,1546 (2003). load sample add eluant Ion-exchange chromatography (IEC) Hybrid DNA-SWNTs: • M-SWNT different surface charge density, higher polarizability, elute before S-CNTs column containing stationary phase RBM Spectra Taken at E laser = 2.18eV collect samples Raman characterization shows that •DNA wrapping removes metallic (M) SWNTs •Chromatography further removes M SWNTs preferentially (6,5) M CoMoCAT CNT S (No DNA) DNA-CNT Fractionated DNA-CNT 150 200 250 300 Raman Shift (cm -1 ) 350 400 Nanotube PL Spectroscopy • Most Measurements • - excitation at E22, emission at E11 - measured with Xe lamp - (2n+m) family patterns provide (n, m) identifications. Our Measurements – (6,5) enriched sample – Intense light source (laser) – Allows observation of phonon assisted processes PL map of SDS- dispersed HiPco CNTs Maruyama et al. NJP (2003) Maruyama’s work suggests study of detailed phonon-assisted excitonic relaxation processes for different phonon branches. PL Spectra of (6,5) Nanotubes 1.64 8 Excitation Energy (eV) 1.6 7.5 7 1.56 6.5 1.52 6 1.48 5.5 5 1.44 1.05 1.1 1.15 1.2 1.25 Emission Energy (eV) 1.3 Phonon-assisted transitions on an expanded scale Chou, et al PRL 94, 127402 (2005) E11 = 1.26eV E22 = 2.18eV Excitons in Carbon Nanotubes Experimental Justification for excitons 2-photon excitation to a 2A+ symmetry exciton (2p) and 1-photon emission from a 1A− exciton (1s) cannot be explained by the free electron model 2A+ BAND-EDGE ABSORPTION (a.u.) 1A− E11 (1s) 1.2 1.4 1.6 1.8 2.0 2-PHOTON EXCITATION ENERGY The observation that excitation and emission are at different frequencies supports exciton model 1.4 EMISSION ENERGY 1A− E11 (1s) E11 (2p) (9,1) (8,3) 1.3 (6,5) (7,5) 1.2` 1.2 1.4 1.6 1.8 2-PHOTON EXCITATION ENERGY Wang et al. Science 308, 838 (2005) The exciton-phonon sidebands further support exciton model HiPco + SDS solution E22S - E11S Sideband F. Plentz Filho (UFMG) et al, PRL 95, 247401 (2005) E11S - E11S Perebeinos, Tersoff and Avouris, PRL 94, 027402 (2005) Emission Identified with One and Two Phonon Processes: Phonon dispersion relations of graphite 2 iLO/iTO near Γ 2 iTO near K (G’ band) 2 iLO/iLA near K 2 oTO near Γ(M-band) 1iLO/iTO near Γ (G-band) Chou et al., PRL 94, 127402 (2005) Two phonon process One phonon process Non-degenerate Pump-probe Frequency domain S. G. Chou et al. PRL 94 127402 (2005) Epump = 1.57±0.01eV, ~E11(6,5)+2ħωD Eprobe = around E11of (6,5) nanotube (Instrument resolution ~250fs) Eprobe =E11(6,5) EPump ~E11(6,5)+ 2ħωph, D Fast optics, Time domain Intraband relaxation Pump Probe Interband relaxation S. G. Chou et al. Phys. Rev. B (2005) Pump Probe Studies at Special Epump • Epump = 1.57±0.01eV≈E111A-(6,5)+2ħωD • Eprobe = around E111A-of (6,5) nanotube Pump Intraband relaxation Probe at band edge K Exciton population at E111A-(6,5): • Quick rise (within 200fs) • Three decay components: • τfast~680fs (dominant process) • τint~2-3ps (dominant process) • τslow~50ps (weak during first 20ps). Probing at Different Energies: -Pump at 1.57±0.01 eV Eiij 1.27eV (8,3) 1.25eV(6,5) E111A-(8,3)+2hwD E111A-(6,5)+2hwD u E111A-(7,5)+2hwD 1.22eV o5 1.20eV(7,5) o4 o3 o2 o1 1.16eV z Exp. O5 O4 O2 (n,m) (8,3) (6,5) (7,5) EProbe 1.27eV 1.25eV 1.20eV FluenceJ/m2 0.3 0.3 0.1 fast 900fs 700fs 800fs % 70 45 90 Int Several ps 3ps N/A 0 E111A-(8.3) E111A-(6,5) E111A-(7,5) K % Traces mixed 45 N/A Slow 30ps 50ps 40ps % 30 10 10 More on Excitons • Why? – Large binding energy (0.5eV) • Even at room temperature, excitons exist. – Exciton specific phenomena • dark excitons, two photon, environment • What can we know or imagine? 2+ 1- A11 – Near cancellation by self energy • ETB + many body effects reproduce Eii – Localized exciton wave function • enhancement of optical process • Length dependence. Wang et al. Science 308, 838 (2005) A11 (2p) (1s) Exciton exists only in the 3M-triangle E55S E11S E22S E33S E44S Energy minima for the π∗ band exist only in 3MΔ. Cutting lines occur around K-point. Symmetry considerations J. Jiang et al. Phys. Rev. B75 035405 (2007) Centre of mass motion :Good quantum number Relative motion Bright and dark excitons A-: bright exciton A+, E and E*: dark excitons A symmetry excitons K K K Γ K’ e h K Γ C2 e h e K’ A± h K Γ E symmetry exciton and its dispersion K E exciton h e K’ K’ E* exciton K K Bright and dark excitons A- : bright exciton A+, E, E*: dark excitons Dispersion for (6,5) NT K’ K h e K Dark state has the lowest energy J. Jiang et al. Phys. Rev. B75 035405 (2007) A- : bright exciton A- : bright exciton A+, E and E*: dark excitons 11 11 11 11 Lowest energy but not symmetry allowed Physics of Nanotubes, Graphite and Graphene Outline of Lecture 1 - Nanotubes • • • • • Brief overview of carbon nanotubes Review of Photophysics of Nanotubes Phonon assisted Photoluminescence Double wall carbon nanotubes Nano-Metrology Raman Spectra of SWNT Bundles Metallic G-band G-band G- Raman Intensity G+ o G+ GRBM: ωRBM∝ 1/dt G’-band D-band Raman Shift (cm−1) Photophysics of SWNTs is now at an advanced stage Photophysics of MWNTs (DWNTs) is at an early stage Motivation for studying DWNTs • Applications – world shows much interest • Synthesis – world has made major progress • Promising for fundamental physics • Study of the interface between DWNTs and bilayer graphene should enrich both areas Approaches to DWNTs • simplest assumption + = Suggests using Kataura plots for SWNTs as first approximation for DWNTs, but E(k) of monolayer and bilayer graphene say more detail is needed Br2-doped double-wall nanotubes Pristine DWNTs (a) Br2-DWNTs (b) TEM images Highly pure samples (99% of DWNTs + 1% of SWNTs + catalysts particles) 5 nm 5 nm (c) (d) SEM images 100nm 100nm Endo et al. Nanolett. 4,1451 (2004) Kataura plot: undoped vs. doped SWNTs using Extended Tight Binding Model Inner tubes Outer tubes 2.4 2.0 1.6 dt (nm) 1.2 Doped (+0.04 e-/C) 0.8 18 26 17 Undoped 2.5 29 21 20 32 24 Eii (eV) 35 2.0 27 38 30 S E33 1.5 33 36 23 16 26 19 29 39 22 25 M E11 28 S 1.0 100 • Different configurations for outer/inner nanotubes depending on laser energy S E11 31 E22 150 200 250 −1 Frequency (cm ) 300 350 Semiconducting outer/Metallic inner configuration M RBM properties at Elaser=2.33 eV • Breathing mode spectrum from the Br2 dopant • Resonance with Bromine electronic transitions • Can identify individual (n,m) inner tubes from Kataura plot (b) (8,5) (12,3) (11,5) 2 (7,7) (9,3) (9,6) 100 Br -doped Br2 doped Elaser = 2.33 eV Pristine ELaser= 2.33 eV 150 Raman Intensity (arb. units) 1.4 (a) Raman Intensity (arb. units) 1.0 S 200 250 -1 Frequency (cm) 300 26 29 21 32 24 35 38 100 150 200 250 -1 Frequency (cm ) A.Souza-Filho. et al PRB (2006) 300 350 150 27 22 200 23 250 −1 Frequency (cm ) 350 Metallic outer/Semiconducting inner configuration M S • Intensity enhancement after bromine doping RBM properties at Elaser=1.58 eV • Doping changing relative intensities of (n,m) tubes 1.0 E = 1.58 eV (a) pristine • The Kataura plot for SWNTs 1.0 (11,0) gives identification for inner wall tubes and shows doping effect (10,2) * (9,4) 1.4 (b) 240 250 260 270 -1 Frequency (cm ) 280 * (9,1) 100 150 200 250 -1 Frequency (cm ) 33 3 36 300 22 25 28 S E11 31 E22 150 200 Br2 doped 250 −1 Frequency (cm ) (11,0) (10,2) * 350 29 39 S Elaser = 1.58 eV 1.4 Raman Intensity (arb. units) Raman Intensity (arb. units) laser (9,4) 240 250 260 270 -1 280 Frequency (cm ) * 100 150 200 250 -1 Frequency (cm ) 300 350 Metallic shielding effects Metallic outer/semiconducting inner wall D and G band (DWNTs) Elaser=1.58 eV Raman Intensity S 1500 1550 1600 -1 Frequency (cm ) 1301 D band 1200 1300 1650 Br2-doped 1554 1400 1500 M Pristine 1600 1700 Frequency (cm-1) • The G-band is predominantly from semiconducting Nanotubes (based on diameter dependence) • No shift in the G-band for semiconducting inner tubes • The inner tubes are shielded by the metallic outer tubes Charge transfer effects Semiconducting outer/metallic inner D and G band (DWNTs) Elaser=2.33 eV M 1581 Br2-doped 1599 1570 Raman Intensity S 1545 D band 1341 1450 1500 1550 1600 1650 -1 Frequency (cm ) 1592 1575 Pristine 1562 1537 x0.5 1200 1485 1400 1600 -1 Frequency (cm ) 1450 1519 1500 1550 1600 -1 1650 Frequency (cm ) • The G-band profile is a mixing of semiconducting and metallic profiles; • Shift in the G-band from semiconducting outer tubes indicates charge transfer to the Br2 molecules • The BWF (Breit Wigner Fano) decreases after doping. • The decrease in the overall intensity indicates depletion of states (a) Elaser M 2.33 eV S G band Raman spectra of Br2 doped DWNTs. Br2 doped Pristine (b) x0.3 1450 1500 1550 1600 -1 Frequency (cm ) Raman Intensity Raman Intensity Charge transfer and screening effects S 1650 Metallic inner tubes highly affected by doping Semiconducting inner tubes is not affected when shielded by metallic tubes Elaser 1450 1500 1.58 eV M 1550 Frequency (cm 1600 -1 ) 1650 Calculated electronic charge density difference (ρdoped - ρundoped) of DWNTs Calculation supports experimental observations about charge transfer A.G. Souza Filho et al Nano Letters (2007) Undoping experiments on bromine doped DWNTs Br2-adsorbed DWNTs Outer tubes Br2 Elaser=2.33 eV Inner tubes Raman Intensity Br2 Energy needed for removing Br2 is ~ 25 meV o heating 21 C o cooling 600 C o 21 C 100 200 300 400 Frequency (cm-1) 500 • The dopant is completely removed after heat treatment Souza Filho et al, PRB (2006) Spectrum for RBM for pristine and H2SO4doped DWNTs Outer Walls Inner Walls M H2SO4 doped Elaser=2.052 eV Raman Intensity Pristine S 150 200 250 300 350 400 -1 Frequency (cm ) •Outer walls strongly affected by doping •Inner semiconducting (S) tubes weakly interact with dopant •Inner metallic (M) tubes more strongly interact with dopant E. Barros et al, PRB (2007) What we learned from intercalation studies of DWNTs • The Kataura plot from SWNTs provides a semi-quantitive interpretation of frequencies for inner wall tubes for DWNTs S • The M/S configuration shields inner semiconducting tubes from the effect of the dopant • The S/M configuration allows charge transfer to inner metallic tubes M M S This work potentially relates to bilayer graphene Laser Energy Dependence of G′-band Spectra The SWNT G’ band corresponds to peak 3 of DWNTs 4 3 2 1 2650 -1 Frequency (cm ) 2700 2600 2.186 eV 2550 2500 outer inner SWNTs 2400 2600 2800 -1 Frequency (cm ) 2450 The ~2450 cm-1 peak (TO+LA) in DWNTs is downshifted relative to the corresponding peak in SWNTs 0 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 Excitation Energy (eV) Some resemblance to bilayer graphene E. B. Barros et al., PRB in press (2007) Physics of Nanotubes, Graphite and Graphene Outline of Lecture 1 - Nanotubes • • • • • Brief overview of carbon nanotubes Review of Photophysics of Nanotubes Phonon assisted Photoluminescence Double wall carbon nanotubes Nano-Metrology The problem of Nano-metrology Why do we need metrology for nanotechnology? Why do we need reference standards? What is new about metrology at the nano-scale? What does nanoscience have to do with metrology? World wide production of Carbon Nanotubes MWNTs 270 tons/yr (2.45× 105 kg/year) SWNTs 7 tons/yr (6.35 × 103 kg/year) 8K US$ / kg to 5.0 × 105 US$ / kg (R. Blackmon, http://www.wtec.org/cnm/) Metrology is guided by applications Potential Applications of Carbon Nanotubes by M. Endo, M. S. Strano, P. M. Ajayan @ Springer TAP111 Large Volume Applications Limited Volume Applications (Mostly based on Engineered Nanotube Structures) Present - Battery Electrode Additives (MWNT) - Composites (sporting goods; MWNT) - Composites (ESD* applications; MWNT) *ESD – Electrical Shielding Device - Scanning Probe Tips (MWNT) - Specialized Medical Appliances (catheters) (MWNT) Near Term (less than ten years) - Battery and Super-capacitor Electrodes - Multifunctional Composites - Fuel Cell Electrodes (catalyst support) - Transparent Conducting Films - Field Emission Displays / Lighting - CNT based Inks for Printing - Single Tip Electron Guns - Multi-Tip Array X-ray Sources - Probe Array Test Systems - CNT Brush Contacts - CNT Sensor Devices - Electro-mechanical Memory Device - Thermal Management Systems Long Term (beyond ten years) - Power Transmission Cables - Structural Composites (aerospace and automobile etc.) - CNT in Photovoltaic Devices - Nano-electronics (FET,Interconnects) - Flexible Electronics - CNT based bio-sensors - CNT Fitration/Separation Membranes - Drug-delivery Systems Quantity What should we measure? At which scale? vs. “Quality” Thermogravimetric analysis (TGA) Quartz cyrstal microbalance (QCM) QCM shows SWNTs are non-homogeneous already at the μg scale TGA (375 °C) 100 ~mg 90 massMassremaining (%) Remaining, % Remaining, % massMass remaining (%) Statistical Comparison 77.90 % 80 70 60 50 40 30 20 10 QCM (375 °C) 100 ~µg 90 75.88 % 80 70 60 50 40 30 20 10 0 0 1 1 5 9 13 17 experiment number Experiment Number 21 25 25 1 1 5 9 13 17 Experiment Number experiment number 21 25 Can we trust the measurements? What do we use for measuring nanomaterials properties? 4-PROBES TRANSPORT R14 ≠ R12+R23+R34 SCANNING PROBES ELECTRON MICROSCOPY 1 2 3 4 Purewal et al.,PRL 98,186808 (2007) IBM Website LIGHT: Raman and photoluminescence LOCALIZED LIGHT EMISSON 50nm From Achim Hartschuh From Hubert - FEI Can we trust the measurements? What is the ideal environment? Encapsuled by micelles Sitting on a substrate Suspended in air Within a forest Nano-metrology is a wide open area for development requiring collaboration between metrology and nanoscience experts