What is R in the Debye Heat Capacity Equation?

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SUMMARY

The discussion clarifies that in the Debye Heat Capacity equation, the variable R represents the gas constant, specifically 8.314 Joule/mol°K. This constant is integral to the equation used for calculating the Debye Heat Capacity, which is expressed as C = 9R(T/ThetaD)^3 * Integral((z^4*e^z dz)/(e^z-1)^2, 0-->ThetaD/T). Understanding the role of R is essential for accurately applying the Debye model in thermal physics.

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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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