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By convention, if the basis in which the vectors and matrix are expressed is different from the absolute basis .

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The distortion associated to the Kurdjumov-Sachs orientation relationship results from a continuous modeling of the FCC-BCC transformation.

In the present paper, we arbitrarily consider that the distortion matrix D presented in equation (2) is the distortion matrix relative to the first variant .

The absolute basis for expressing the transformation matrix is therefore equal to the basis relative to the first variant .

By computing the distortion matrix in the reciprocal lattice D* = D plane is explicitly imposed to be untilted by the Kurdjumov-Sachs orientation relationship (1).

On the contrary, the second plane is not explicitly described by the Kurdjumov-Sachs orientation relationship and is of interest as it is oriented at 0.5° from the well-known (225).

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