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need and um and so this is that
interface as a function of interface
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interface as a function of interface
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interface as a function of interface
energy as a function of temperature and
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energy as a function of temperature and
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energy as a function of temperature and
the the two types of uh dots are
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the the two types of uh dots are
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the the two types of uh dots are
different interface orientations and I
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different interface orientations and I
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different interface orientations and I
forget I think one is a 111 plane and
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forget I think one is a 111 plane and
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forget I think one is a 111 plane and
one is a one0 but I'm not absolutely
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one is a one0 but I'm not absolutely
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one is a one0 but I'm not absolutely
sure and I forgot to put the reference
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sure and I forgot to put the reference
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sure and I forgot to put the reference
out this is out of Mark A's work in
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out this is out of Mark A's work in
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out this is out of Mark A's work in
Northwestern but I'll put the reference
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Northwestern but I'll put the reference
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Northwestern but I'll put the reference
on when I put the notes on the web um so
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on when I put the notes on the web um so
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on when I put the notes on the web um so
obviously the interfacial energy goes
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obviously the interfacial energy goes
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obviously the interfacial energy goes
down with temperature
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down with temperature
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down with temperature
okay you know and this is often