Mechanical properties, elastic constants, lattice vibrations of Gallium Indium Arsenide Phosphide (GaInAsP)

Mechanical properties, elastic constants, lattice vibrations
Basic ParameterElastic constants
Micro Hardness
Acoustic Wave Speeds
Phonon frequencies
Basic Parameter
Bulk modulus | (7.1-0.516y+0.02y2)·1011 dyn cm-2 | Ga0.47In0.53AsyP1-y; 300K |
Density | 4.81+0.552y+0.138y2 g cm-3 |
Elastic constants at 300 K
for compositions lattice-matched to InPC11 | (10.11 - 0.12y)·1011 dyn cm-2 | Adachi (1992) |
C12 | (5.61 - 0.68y)·1011 dyn cm-2 | |
C44 | (4.56 + 0.33y) ·1011 dyn cm-2 |
Bulk modulus (compressibility-1) | ||
Bs=(C11+2C12)/3 | Bs = (7.11-0.516y+0.02y2)·1011 dyn/cm2 | Adachi (1992) |
Anisotropy factor | ||
C'=(C11-C12)/2 | A = (0.493+0.035y-0.01y2) | |
Shear modulus | ||
C'=(C11-C12)/2 | C' = (2.25+0.28y)·1011 dyn/cm2 | |
[100] Young's modulus | ||
Yo=(C11+2C12)·(C11-C12)/(C11+C12) | Yo= (6.106+0.976y-0.344y2))·1011 dyn/cm2 | |
[100] Poisson ratio | ||
σo=C12/(C11+C12) | σo = (0.357-0.033y+0.006y2) |
Micro Hardness
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GaxIn1-xAsyP1-y. Surface
microhardness (using Knoop's pyramid test) measured on (100) plane along the <100> direction vs. concentration y for the undoped lattice-matched to InP. Watts and Willoughby (1984) |
Acoustic Wave Speeds
Wave propagation Direction |
Wave character | Expression for wave speed | Wave speed (in units of 105 cm/s) |
[100] | VL (longitudinal) | (C11/&rho)1/2 |
4.594-0.334y
|
VT (transverse) | (C44/&rho)1/2 |
3.085-0.104y
|
|
[100] | Vl | [(C11+Cl2+2C44)/2&rho]1/2 |
5.092+0.355y
|
Vt|| | Vt||=VT=(C44/ρ)1/2 |
3.085+0.104y
|
|
Vt![]() |
[(C11-C12)/2&rho]1/2 |
2.167+0.023y
|
|
[111] | Vl' | [(C11+2C12+4C44)/3&rho]1/2 |
5.247+0.362y
|
Vt' | [(C11-C12+C44)/3&rho]1/2 |
2.511+0.056y
|
Phonon frequencies
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GaxIn1-xAsyP1-y lattice-matched
to InP. Longitudinal optical phonon frequencie (LO) vs. composition y. Adachi (1992) |
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GaxIn1-xAsyP1-y lattice-matched
to InP. Transverse optical phonon frequencie (TO) vs. composition y. The solid curves represent the calculated results using the modifed REI model. Adachi (1992) |