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    $\begingroup$ Thank you for your answer, however I still don't understand how it illuminates the difference between the bonds of graphite and diamond. How are the bonds related to the heat capacity? Also why is it a rough indicator and not to be taken too literal? $\endgroup$ Commented Jul 10, 2022 at 18:36
  • $\begingroup$ The heat capacity gives us a measure of how much energy is distributed into vibrational modes as we increase the T. Conceptually, when there are looser bonds, the structure can vibrate more at lower temperature, so the heat capacity is greater for a given T. So the total energy that is needed to get the substance up to a given temperature is greater. The reason it is a rough indicator rather than a literal measure is because the first integral (the energy) is obviously much greater in magnitude (and in different units) from the second, which is the entropy. $\endgroup$
    – Andrew
    Commented Jul 10, 2022 at 19:38