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Geometrical Theory of Crystalline interfaces A boundary surface ...

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example : refer to the following fig.<br />

consider 2D cubic crystal<br />

rotation counterclockwise θ crystal 2 with respect to crystal 1<br />

θ ˚ ˚<br />

Σ<br />

transformation matrix<br />

θ θ<br />

θ θ<br />

θ θ<br />

θ θ<br />

if , solution will be given by equation<br />

inverse matrix<br />

θ<br />

<br />

<br />

<br />

θ<br />

θ

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