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even 3 400 Kelvin um and you know in
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even 3 400 Kelvin um and you know in
oxides if you change the veilance of an
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oxides if you change the veilance of an
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oxides if you change the veilance of an
ion they often they sort of change size
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ion they often they sort of change size
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ion they often they sort of change size
because because the orbitals are very
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because because the orbitals are very
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because because the orbitals are very
localized so there you can see a
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localized so there you can see a
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localized so there you can see a
substantial effect of of electrons on um
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substantial effect of of electrons on um
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substantial effect of of electrons on um
thermal expansion
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thermal expansion
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thermal expansion
but in many cases uh we wouldn't worry
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but in many cases uh we wouldn't worry
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but in many cases uh we wouldn't worry
about it
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about it
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about it
okay so that was the example of thermal
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okay so that was the example of thermal
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okay so that was the example of thermal
expansion
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expansion
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expansion
so there you you had to worry about
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so there you you had to worry about
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so there you you had to worry about
phonons
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phonons