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you have fully harmonic vibrations
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you have fully harmonic vibrations
okay then the entropy does not change
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okay then the entropy does not change
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okay then the entropy does not change
with volume because you know if you are
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with volume because you know if you are
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with volume because you know if you are
in a quad erotic your curvature is the
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in a quad erotic your curvature is the
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in a quad erotic your curvature is the
same everywhere
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same everywhere
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same everywhere
okay so your frequency is the same
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okay so your frequency is the same
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okay so your frequency is the same
everywhere so your phon frequency is the
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everywhere so your phon frequency is the
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everywhere so your phon frequency is the
same so your entropy is the same
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same so your entropy is the same
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same so your entropy is the same
everywhere so at very low temperature
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everywhere so at very low temperature
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everywhere so at very low temperature
you have almost no phon on thermal
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you have almost no phon on thermal
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you have almost no phon on thermal
expansion so the electronic one plays an
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expansion so the electronic one plays an
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expansion so the electronic one plays an
important role but all of them together
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important role but all of them together
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important role but all of them together
are small anyway and here when you're
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are small anyway and here when you're