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Taylor Series Approximation in High Temperature Solid Systems
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Explore the Taylor series approximation for high-temperature solid systems, comparing internal energy of a solid and thermal expansion. Understand the connection between entropy and static contribution.
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Taylor Series Approximation in High Temperature Solid Systems
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Presentation Transcript
Simple solid Taylor-series Consider an example: High temperature approximation where heat capacity is const. Can be interpreted as an elastic energy: where
Internal energy of a simple solid Compare with Thermal expansion at T>0 Pressure: Remark: we will later understand that as a consequence of the existence of entropy Static contribution
Now U depends on V Remember: our aim is to calculate from and 1 Enthalpy:
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