What is R in the Debye Heat Capacity Equation?

AI Thread Summary
In the discussion about the Debye Heat Capacity equation, the variable R is identified as the gas constant, which is essential for thermodynamic calculations. Specifically, R is valued at 8.314 Joule/mol°K. The equation presented is used to calculate the heat capacity at constant volume for solids at low temperatures. The integral in the equation accounts for the contributions of phonon modes to the heat capacity. Understanding R is crucial for accurately applying the Debye model in thermal physics.
axawire
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I am currently re-reading an old textbook on thermal physics and they have listed the final result for calculating the Debye Heat Capacity as

C =9R(T/ThetaD)^3*Integral((z^4*e^z dz)/(e^z-1)^2, 0-->ThetaD/T)

But they fail to mention what the R in this equation is, Could some one please tell me what R is?

Thanks.
 
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axawire said:
I am currently re-reading an old textbook on thermal physics and they have listed the final result for calculating the Debye Heat Capacity as

C =9R(T/ThetaD)^3*Integral((z^4*e^z dz)/(e^z-1)^2, 0-->ThetaD/T)

But they fail to mention what the R in this equation is, Could some one please tell me what R is?

Thanks.
Gas constant. The one in PV = nRT
R = 8.314 Joule/mol°K
 
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