High Temp γ-Fe Enthalpy > Low Temp α-Fe Enthalpy: Why?

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The discussion centers on the enthalpy differences between γ-Fe at high temperatures and α-Fe at low temperatures. It explores the reasons behind the higher enthalpy of γ-Fe, likely related to its face-centered cubic structure, which allows for greater atomic mobility and energy storage. Participants are encouraged to share their research findings on the topic. The inquiry may be related to academic work, prompting further exploration of thermodynamic principles. Understanding these enthalpy variations is crucial for applications in materials science and metallurgy.
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Why is the enthalpy of γ-Fe at high temperatures higher than the enthalpy of α-Fe at low temperatures?
Why is the enthalpy of γ-Fe at high temperatures higher than the enthalpy of α-Fe at low temperatures?
 
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What I know and please correct me: a macroscopic probe of raw sugar you can buy from the store can be modeled to be an almost perfect cube of a size of 0.7 up to 1 mm. Let's assume it was really pure, nothing else but a conglomerate of H12C22O11 molecules stacked one over another in layers with van de Waals (?) "forces" keeping them together in a macroscopic state at a temperature of let's say 20 degrees Celsius. Then I use 100 such tiny pieces to throw them in 20 deg water. I stir the...

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