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phonons
maybe electrons um
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maybe electrons um
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maybe electrons um
here's another example where you would
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here's another example where you would
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here's another example where you would
absolutely need a temperature dependent
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absolutely need a temperature dependent
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absolutely need a temperature dependent
study here's the the phase diagram of
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study here's the the phase diagram of
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study here's the the phase diagram of
titanium zirconium titanium and
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titanium zirconium titanium and
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titanium zirconium titanium and
zirconium are both hexagonal Clos packed
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zirconium are both hexagonal Clos packed
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zirconium are both hexagonal Clos packed
hcp at low temperature um at high
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hcp at low temperature um at high
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hcp at low temperature um at high
temperature they're actually both BCC
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temperature they're actually both BCC
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temperature they're actually both BCC
and so this is the transition
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and so this is the transition
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and so this is the transition
temperature on the titanium side this is
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temperature on the titanium side this is
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temperature on the titanium side this is
the transition temperature on the zonum
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the transition temperature on the zonum
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the transition temperature on the zonum
side you know let's say you wanted to
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side you know let's say you wanted to
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side you know let's say you wanted to
know you wanted to be able to predict