Mechanical properties, elastic constants, lattice vibrations of Gallium Antimonide (GaSb)

GaSb - Gallium Antimonide

Mechanical properties, elastic constants, lattice vibrations

Basic Parameter
Elastic constants
Acoustic Wave Speeds
Phonon frequencies

Basic Parameter

Bulk modulus 5.63·1011 dyn cm-2
Density 5.614 g cm-3
Hardness on the Mohs scale 4.5
Surface microhardness (using Knoop's pyramid test) 450 kg mm-2
Cleavage plane {100}
Piezoelectric constant e14= -0.13 C m-2

Elastic constants at 300 K

C11= 8.83·1011 dyn cm-2
C12= 4.02·1011 dyn cm-2
C44= 4.32·1011 dyn cm-2
Temperature dependences of elastic constants.
(Boyle and Sladek (1975)).

For T=300 K

Bulk modulus (compressibility-1) Bs= 5.62·1011dyn cm-2
Shear modulus C'= 2.4·1011dyn cm-2
[100] Young's modulus Yo= 6.31·1011dyn cm-2
[100] Poisson ratio σo = 0.31

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 3.97
VT (C44/ρ)1/2 2.77
[100] Vl [(C11+Cl2+2C44)/2ρ]1/2 4.38
Vt|| Vt||=VT=(C44/ρ)1/2 2.77
Vt⊥ [(C11-C12)/2ρ]1/2 2.07
[111] Vl' [(C11+2C12+4C44)/3ρ]1/2 4.50
Vt' [(C11-C12+C44)/3ρ]1/2 2.33

Phonon frequencies

(in units of 1012 Hz)
νLO15) 6.87 νTA(L3) 1.37
νTA(X5) 1.70 νLA(L1) 4.60
νLA(X3) 4.99 νLO(L1) 6.15
νTO(X5) 6.36 νTO(L3) 6.48
νLO(X1) 6.35