Remarks | Referens | ||
Density | 6.15 g cm-3 | 300 K | Bougrov et al. (2001) |
Surface microhardness | 1200 - 1700 kg mm-2 | 300 K, using Knoop's pyramid test | Nikolaev et al. (1998) see also Drory et al. (1996) |
C11 | 390 ±15 GPa | Polian et al. (1996)
see also Wright (1997) |
C12 | 145 ± 20 GPa | |
C13 | 106 ± 20 GPa | |
C33 | 398 ± 20 GPa | |
C44 | 105 ± 10 GPa |
C11 | 29.6(1.8) 1011 dyncm -2 | calculated from the mean square displacement of the lattice atoms measured by X-ray diffraction |
Madelung (1991) |
C12 | 13.0(1.1) 1011 dyncm -2 | ||
C13 | 15.8(0.6) 1011 dyncm -2 | ||
C33 | 26.7(1.8) 1011 dyncm -2 | ||
C44 | 2.41 (20) 1011 dyncm -2 |
C11 | 293 GPa | Wright (1997) |
C12 | 159GPa | |
C44 | 155 GPa |
Wurtzite GaN. Bulk modulus (compressibility-1) | For T = 300 K |
Bs = [ C33(C11 + C11) - 2(C13)2] x [C11+ C12-4C13+ 2C33 ]-1 | Bs = 210 ± 10 GPa |
Zinc Blende GaN. Bulk modulus (compressibility-1) | For T = 300 K |
Bs=(C11+2C12)/3 | Bs = 204 GPa |
Anisotropy factor | |
C'=(C11-C12)/2 | A = 0.43 |
Shear modulus | |
C'=(C11-C12)/2 | C' = 67GPa |
[100] Young's modulus | |
Y0=(C11+2C12)·(C11-C12)/(C11+C12) | Y0= 181 GPa |
[100] Poisson ratio | |
σo=C12/(C11+C12) | σo = 0.352 |
Wave propagation direction | Wave character | Expression for wave speed | Wave speed (in units of 105 cm/s) |
[100] | VL (longitudinal) | (C11/ρ )1/2 | 6.9 |
VT (transverse) | (C44/ρ )1/2 | 5.02 | |
[110] | Vl | [(C11+Cl2+2C44)/2ρ ]1/2 | 7.87 |
Vt|| | Vt||=VT= (C44/ρ)1/2 | 5.02 | |
Vt![]() |
[(C11-C12)/2ρ]1/2 | 3.3 | |
[111] | Vl' | [(C11+2C12+4C44)/3ρ ]1/2 | 8.17 |
Vt' | [(C11-C12+C44)/3ρ ]1/2 | 3.96 |
Wave propagation direction | Wave character | Expression for wave speed | Wave speed (in units of 105 cm/s) |
[100] | VL (longitudinal) | (C11/ρ )1/2 | 7.96 |
VT (transverse, polarization along [001]) | (C44/ρ )1/2 | 4.13 | |
VT (transverse, polarization along [010]) | ((C11-C12)/2ρ )1/2 | 6.31 | |
[001] | VL (longitudinal) | (C33/ρ )1/2 | 8.04 |
VT (transverse ) | (C44/ρ )1/2 | 4.13 |
A1 - LO | 710-735 cm-1 | Siegle et al. (1997);
Akasaki & Amano (1994); Karch et al. (1998); Zi et al. (1996) |
A1 - TO | 533-534 cm-1 | |
E1 - LO | 741-742 cm-1 | |
E1 - TO | 556-559 cm-1 | |
E2 (low) | 143-146 cm-1 | |
E2 (high) | 560-579 cm-1 |
phonon wavenumbers: |
Remarks | Referens | |
νA1(TO||) | 533 cm-1 | T=300K; Raman spectroscopy | Manchon et al.(1970) |
νE1(TO![]() |
559 cm-1 | T=300K; Raman spectroscopy | Lemos et al.(1972) |
νE1(LO![]() |
746 cm-1 | T=300K; Kramers-Kronig analysis of infrared reflectivity |
Barker & Ilegems (1973) |
νA1(LO) | 744 cm-1 | T=300K; Kramers-Kronig analysis of infrared reflectivity |
Barker & Ilegems (1973) |
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GaN, Wurtzite. Calculated dispersion curves for acoustic and
optical branch phonons. Siegle et al. (1997), |
LO (G) | 748 cm-1 | LO (L) | 675 cm-1 | Zi et al. (1996) | |
TO (G) | 562 cm-1 | TO (L) | 554 cm-1 | ||
LO (X) | 639 cm-1 | LA (L) | 296 cm-1 | ||
TO (X) | 558 cm-1 | TA (L) | 144 cm-1 | ||
LA (X) | 286 cm-1 | ||||
TA (X) | 207 cm-1 |
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GaN, Zinc Blende (cubic). Calculated dispersion curves for
acoustic and optical branch phonons. Zi et al. (1996), |
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GaN. Calculated phonon dispersion curves and phonon DOS function for
bulk GaN. The solid and dashed lines correspond to the Λ1 (or T1) and Λ2 (or T2) irreps, respectively. Davydov et al. (1998) |
Frequency (cm-1) |
Symmetry | Process | Point in the BZ |
317 cm-1 | A1 | Acoustic, overtone | H |
410 cm-1 | A1 | Acoustic, overtone | A,K |
420 cm-1 | A1, E2 | Acoustic, overtone | M |
533 cm-1 | A1 | First-order process | Γ = A1(TO) |
560 cm-1 | E1 | First-order process | Γ = E1(TO) |
569 cm-1 | E2 | First-order process | Γ = E2(high) |
640 cm-1 | A1 | Overtone | Γ = [B]2, L |
735 cm-1 | A1 | First-order process | Γ = A1(LO) |
742 cm-1 | E1 | First-order process | Γ = E1(LO) |
855 cm-1 | A1, E1, E2 | Acoustic-optical combination | |
915 cm-1 | A1 | Acoustic-optical combination | |
1000 cm-1 | A1, (E2) | Acoustic-optical combination | |
1150 cm-1 | A1 | Optical overtone | |
1280 cm-1 | A1, (E1) | Optical combination | |
1289 cm-1 | E2 | Optical combination | |
1313 cm-1 | A1, (E1, E2) | Optical combination | |
1385 cm-1 | A1 | Optical overtone | A,K |
1465 cm-1 | A1 | Optical overtone | Γ =A1(LO)2 |
Cutoff 1495 cm-1 | A1 , E2 | Optical overtone | Γ = E1(LO)2 |