InP - Indium Phosphide

Mechanical properties, elastic constants, lattice vibrations

Basic Parameter
Elastic constants
Acoustic Wave Speeds
Phonon frequencies

Basic Parameter

Bulk modulus 7.1·1011 dyn cm-2
Density 4.81 g cm-3
Surface microhardness (using Knoop's pyramid test) ~460 kg mm-2
Cleavage plane {100}
Piezoelectric constant e14= -3.5·10-2 C m-2

Elastic constants at 300 K

C11 = 10.11·1011 dyn/cm2
C12 = 5.61·1011 dyn/cm2
C44 = 4.56·1011 dyn/cm2
(Nichols et al. [1980]).
Bulk modulus (compressibility-1) Bs= 7.11·1011 dyn/cm2
Shear modulus C'= 2.25·1011 dyn/cm2
[100] Young's modulus Yo= 6.11·1011 dyn/cm2
[100] Poisson ratio σo = 0.36

Acoustic Wave Speeds

Wave propagation Direction Wave character Expression for wave speed Wave speed (in units of 105 cm/s)
[100] VL (C11/ρ )1/2 4.58
VT (C44/ρ )1/2 3.08
[100] Vl [(C11+Cl2+2C44)/2ρ]1/2 5.08
Vt|| Vt||=VT=(C44/ρ)1/2 3.08
Vt⊥ [(C11-C12)/2ρ]1/2 2.16
[111] Vl' [(C11+2C12+4C44)/3ρ]1/2 5.23
Vt' [(C11-C12+C44)/3ρ]1/2 2.51

Phonon frequencies (in units of 1012 Hz)

νTO(Γ) 9.2 νLO(X) 9.95
νLO(Γ) 10.3 νTA(L) 1.65
νTA(X) 2.05 νLA(L) 5.0
νLA(X ) 5.8 νTO(L) 9.5
νTO(X) 9.7 νLO(L) 10.2
(Suto and Nashizawa [1990]).