Question
The values of the elastic stiffness constants for are:
Given that the density of is
, determine the bulk modulus of elasticity and the velocity of the transverse and longitudinal elastic waves in the [100] direction.
Answer :
Word Count : 259
The density of GaAs is given as ( \rho = 5.32~\text{g/cm}^3 = 5.32 \times 10^3~\text{kg/m}^3 ). The elastic stiffness constants are ( C_{11} = 1.18 \times 10^{11}~\text{N/m}^2 ), ( C_{12} = 0.54 \times 10^{11}~\text{N/m}^2 ), and ( C_{44} = 0.59 \times 10^{11}~\text{N/m}^2 ). Step 1: Bulk modulus For a cubic crystal, the bulk modulus ( B ) is given by: [ B = \frac{C_{11} ______ ____ _________ _______ ______ _________ ________ ___ _______ ________ _________ _____.
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The density of GaAs is given as ( \rho = 5.32~\text{g/cm}^3 = 5.32 \times 10^3~\text{kg/m}^3 ). The elastic stiffness constants are ( C_{11} = 1.18 \times 10^{11}~\text{N/m}^2 ), ( C_{12} = 0.54 \times 10^{11}~\text{N/m}^2 ), and ( C_{44} = 0.59 \times 10^{11}~\text{N/m}^2 ). Step 1: Bulk modulus For a cubic crystal, the bulk modulus ( B ) is given by: [ B = \frac{C_{11} ______ ____ _________ _______ ______ _________ ________ ___ _______ ________ _________ _____.
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