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constants and the way you can do that is
you can actually plot you know either
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you can actually plot you know either
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you can actually plot you know either
energy or free energy as a function of
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energy or free energy as a function of
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energy or free energy as a function of
latus parameter
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latus parameter
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latus parameter
and then you know in the minimum you
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and then you know in the minimum you
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and then you know in the minimum you
have a bulk modulus it's the curvature
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have a bulk modulus it's the curvature
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have a bulk modulus it's the curvature
there but you could also get it the
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there but you could also get it the
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there but you could also get it the
curvature at other latus parameters and
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curvature at other latus parameters and
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curvature at other latus parameters and
so you get the bulk models as a function
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so you get the bulk models as a function
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so you get the bulk models as a function
of the lce parameter and it's done in
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of the lce parameter and it's done in
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of the lce parameter and it's done in
two ways it's done by taking derivatives
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two ways it's done by taking derivatives
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two ways it's done by taking derivatives
of the energy that's the purple curve
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of the energy that's the purple curve
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of the energy that's the purple curve
here and then the brown one is done by
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here and then the brown one is done by
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here and then the brown one is done by
taking derivatives of of the free energy