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Characteristics and Properties

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

Mechanical properties, elastic constants, lattice vibrations

Basic Parameter
Elastic 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 InP

C11	(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

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

GaxIn1-xAsyP1-y lattice-matched to InP. Longitudinal optical phonon frequencie (LO) vs. composition y. Adachi (1992)

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)

 

Statistics