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to get the thermal expansion
you it's not enough to just do the phons
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you it's not enough to just do the phons
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you it's not enough to just do the phons
at one volume because you get need to
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at one volume because you get need to
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at one volume because you get need to
get the entropy as a function of volume
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get the entropy as a function of volume
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get the entropy as a function of volume
volum so at a few different volumes so
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volum so at a few different volumes so
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volum so at a few different volumes so
that means you really have to do the
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that means you really have to do the
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that means you really have to do the
phone on at several different volumes uh
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phone on at several different volumes uh
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phone on at several different volumes uh
to get the thermal expansion right you
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to get the thermal expansion right you
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to get the thermal expansion right you
know this sort of looks hard but um
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know this sort of looks hard but um
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know this sort of looks hard but um
phone on calculations have become quite
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phone on calculations have become quite
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phone on calculations have become quite
routine uh they're very welld developed
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routine uh they're very welld developed
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routine uh they're very welld developed
there's in some cases even like codes
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there's in some cases even like codes
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there's in some cases even like codes
that do it almost semi-automatically
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that do it almost semi-automatically
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that do it almost semi-automatically
uh it's typically done either by linear