Find Debye Temp of GaAs: E,v,rho Given

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SUMMARY

The discussion focuses on calculating the Debye temperature of Gallium Arsenide (GaAs) using its Young's modulus (E), Poisson's ratio (v), and density (rho). The formulas used include the relationships for bulk modulus (K) and shear modulus (G), as well as the Debye temperature formula: Debye temp = (h/k)*(9N/4*3.14*V)^(1/3)*(2/ut^3+1/ul^3)^(-1/3). The calculated Debye temperature was found to be 295K, which is lower than the expected value of 360K, indicating potential inaccuracies in the values of c11 and c12 derived from E and v.

PREREQUISITES
  • Understanding of Young's modulus and its significance in material science.
  • Familiarity with Poisson's ratio and its role in elasticity.
  • Knowledge of density and its impact on material properties.
  • Basic grasp of thermodynamic principles related to Debye temperature.
NEXT STEPS
  • Research the derivation and implications of the Debye temperature formula.
  • Explore the relationship between elastic constants (c11, c12) and material properties.
  • Study methods for accurately measuring Young's modulus and Poisson's ratio in GaAs.
  • Investigate the significance of discrepancies in calculated versus actual Debye temperatures.
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Material scientists, physicists, and engineers involved in the study of semiconductor properties and thermal characteristics of materials.

Mona92
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If the young's modulus(E), poisson's ratio(v) and density(rho) of gallium arsenide is given how to find its debye temperature

K=c11+c12/2
G=c11-c12/3

Debye temp = (h/k)*(9N/4*3.14*V)^(1÷3)*(2/ut^3+1/ul^3)^(-1/3)

Using E and rho i found out the c11 and c12 and then found out bulk modulus(G) and shear modulus(K) and then the longitudinal velocity(ul) and transverse velocity(ut).. using all these data my value of debye temperature came upto 295K but the actual value should be 360K
 
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c11 and c12 are found using E and v.
 

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