Specific heat Capacities of metals

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SUMMARY

The discussion focuses on determining the constant 'b' in the specific heat capacity formula for metals, where C(Total) = C(electron) + C(phonon). The participants highlight that C(electron) is represented as aT, with 'a' being the Sommerfeld constant, while C(phonon) is expressed as bT^3. To find 'b', it is suggested to use the Dulong-Petit law, which states that the specific heat capacity at room temperature approaches C = 3RN, where 'N' represents the degrees of freedom of the metal atoms.

PREREQUISITES
  • Understanding of specific heat capacity concepts
  • Familiarity with the Dulong-Petit law
  • Knowledge of Sommerfeld constant in solid-state physics
  • Basic principles of thermodynamics
NEXT STEPS
  • Research the Dulong-Petit law and its application in solid materials
  • Learn how to calculate degrees of freedom for different metal structures
  • Explore the relationship between electron and phonon contributions to specific heat
  • Investigate methods for experimentally determining the Sommerfeld constant 'a'
USEFUL FOR

Students and researchers in materials science, physicists studying thermal properties of metals, and engineers involved in thermal management applications.

ralden
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Hi Admin, please allow me to post this here:

The General Formula for Specific Heat Capacity is:

C(Total) = C(electron)+C(phonon)

C(electron) = aT
where a is the sommerfield constant.

C(phonon) = bT^3

this time i don't know what is b (some constant)

so my problem is, how can i determine b, if the only given are T, and a?

i'm trying to plot the given a's of metals and their corresponding C(electron) at 300k
but there is no relation between C(electron and C(phonon) or a and b.

so please, guys help me.thanks :)
 
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The specific heat capacity will tend towards the Dulong-Petit law at room temperature for many metals. You could use that to find your constant b.
 
so are you saying that the C(Specifc heat capacity) at room temperature using Dulong-Petit equation is

C= 3RN?

so where can i get the N=Degrees of freedom?
 

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