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

In summary, Debye Temperature is a characteristic temperature used to describe the vibrational energy of atoms in a solid material. It can be calculated using a formula that takes into account parameters such as Planck's constant, Boltzmann's constant, and the number of atoms and volume of the material. The elastic modulus, Poisson's ratio, and density of the material also play a role in finding the Debye Temperature. This temperature can change depending on external factors and is important in understanding the thermodynamic properties of a material and predicting its behavior.
  • #1
Mona92
2
0
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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  • #2
c11 and c12 are found using E and v.
 

1. What is Debye Temperature?

Debye Temperature is a characteristic temperature that describes the vibrational energy of atoms in a solid material. It is named after physicist Peter Debye and is often denoted by the symbol θD.

2. How is Debye Temperature calculated?

The Debye Temperature can be calculated using the formula θD = (h / kB) * (6π2 * n / V)1/3, where h is Planck's constant, kB is Boltzmann's constant, n is the number of atoms per unit volume, and V is the volume of the material.

3. What is the role of E, v, and ρ in finding the Debye Temperature of a material?

E, v, and ρ represent the elastic modulus, Poisson's ratio, and density of the material, respectively. These parameters are used in the Debye Temperature formula to calculate the Debye Temperature for a specific material.

4. Can the Debye Temperature of a material change?

Yes, the Debye Temperature of a material can change depending on factors such as temperature, pressure, and composition. It is considered a characteristic temperature for a material, but it is not a fixed value.

5. What is the significance of finding the Debye Temperature of a material?

The Debye Temperature is an important parameter in understanding the thermodynamic properties of a material, including its heat capacity, thermal conductivity, and thermal expansion. It is also used in materials science and engineering to predict the behavior of materials at various temperatures and conditions.

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