NSM Archive - Indium Nitride (InN) - Mechanical Properties, Elastic Constants, Lattice Vibrations

InN - Indium Nitride

Mechanical Properties, Elastic Constants, Lattice Vibrations

Basic Parameters
Elastic Constants
Acoustic Wave Speeds
Phonon Frequencies
Frequencies and Symmetries of the Strongest Modes

Basic Parameters


    Remarks Referens
Density 6.81 g cm-3 X-ray, 298.15 K Pearson (1967)


Elastic constants at 300 K.

Wurtzite InN. Elastic constants at 300 K.
C11 190 ± 7 GPa Sheleg & Savastenko (1979)
see also Wright (1997) ;
Kim et al. (1996)
C12 104 ± 3 GPa
C13 121 ± 7 GPa
C33 182 ± 6 GPa
C44 10 ± 1 GPa

Wurtzite InN. Bulk modulus (compressibility-1) For T = 300 K
Bs = [ C33(C11 + C11) - 2(C13)2] x [C11+ C12-4C13+ 2C33 ]-1 Bs = 140 GPa

Acoustic Wave Speeds

Wurtzite crystal structure
Wave propagation direction Wave character Expression
for wave speed
Wave speed
[100] VL (longitudinal) (C11/ρ )1/2 5.28 105 cm/s
VT (transverse, polarization along [001]) (C44/ρ )1/2 1.21 105 cm/s
VT (transverse,polarization along [010]) ((C11-C12)/2ρ )1/2 2.51 105 cm/s
[001] VL (longitudinal) (C33/ρ )1/2 5.17 105 cm/s
VT (transverse ) (C44/ρ )1/2 1.21 105 cm/s
Wurtzite crystal structure
The cristalografic direction you can see part Band structure

Phonon frequencies

Wurtzite crystal structure
A1 - LO 586 cm-1 Davydov et al. (1999)
A1 - TO 447 cm-1
E1 - LO 593 cm-1
E1 - TO 476 cm-1
E2 (low) 87 cm-1
E2 (high) 488 cm-1
InN, Wurtzite. Polarized Raman spectra for the nominally un-doped InN layer grown on a (0001) sapphire substrate.
Room-temperature.
Davydov et al. (1999)
InN, Wurtzite. First-order polarized Raman spectra for the nominally undoped InN layer grown on a (1102) sapphire substrate.
Room-temperature.
The inset shows the imaginary part of the dielectric function for A1 (TO) and E1(TO) phonons obtained by the Kramers-Kroning analysis of the IR reflectivity data in different geometries:   E || c[A1(TO)] and E c[A1(TO)].
Davydov et al. (1999)
phonon wavenumbers:   Remarks Referens
νTO(Γ) 478 cm-1
T=300K.
reflectivity, Kramers-Kronig analysis
Osamura et al. (1975)
νLO(Γ) 694 cm-1    
InN, Wurtzite. Phonon dispersion curves and phonon DOS function.
The disorder-induced Raman spectrum obtained at 7 K for N+-implanted InN.
Davydov et al. (1999)
InN, Wurtzite. Dispersion curves for acoustic and optical branch phonons.
Davydov et al. (1999)