Mechanical properties, elastic constants, lattice vibrations of Indium Antimonide (InSb)

InSb - Indium Antimonide

Mechanical properties, elastic constants, lattice vibrations

Basic Parameter
Elastic constants
Acoustic Wave Speeds
Phonon frequencies

Basic Parameter

Bulk modulus 4.7·1011 dyn cm-1
Density 5.77 g cm-3
Surface microhardness (using Knoop's pyramid test) 220 kg mm-2
Cleavage plane {100}, {100}
Piezoelectric constant e14= -7·10-2 C m-2
Electron g - factor -50.6

Elastic constants at 300 K

C11= 6.67·1011 dyn cm-2
C12= 3.65·1011 dyn cm-2
C44= 3.02·1011 dyn cm-2
(Slutsky and Garland [1959]).
Temperature dependences of elastic constants.
Circles - (Slutsky and Garland [1959]);
Triangles - (Potter [1956]).
For T = 300 K:
Bulk modulus (compressibility-1) Bs= 4.66·1011 dyn cm-2
Shear modulus C'= 1.51·1011 dyn cm-2
[100] Young's modulus Yo= 4.09·1011 dyn cm-2
[100] Poisson ratio σo = 0.35

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 3.4
VT (C44/ρ)1/2 2.29
[100] Vl [(C11+Cl2+2C44)/2ρ]1/2 3.76
Vt|| Vt||=VT=(C44/ρ)1/2 2.29
Vt⊥ [(C11-C12)/2ρ]1/2 1.62
[111] Vl' [(C11+2C12+4C44)/3ρ]1/2 3.88
Vt' [(C11-C12+C44)/3ρ]1/2 1.87

Phonon frequencies (in units of 1012 Hz)

νLO(Γ) 5.90 νTO(X5) 5.38
νTO(Γ) 5.54 νTA(L3) 0.98
νTA(X5) 1.12 νLA(L1) 3.81
νLA(X3) 4.30 νLO(L1) 4.82
νLO(X1) 4.75 νTO(L3) 5.31
(Price at al. [1971]).