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We have been taught that there are 48 slip Systems in BCC. I need the miller indices of each slip plane and direction.

Out of 48 I got miller indices of 12 systems of $\{110\}\ \left<111\right>$ and 12 systems of $\{112\}\ \left<111\right>$ , but I am not getting remaining 24 slip Systems of $\{123\}\ \left<111\right>$.

I don't know how to find all 24 planes of $\{123\}$ family of planes.If anyone know how to do it, it will be helpful

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  • $\begingroup$ This is simple enumeration of the possibilities. There are more because there are no repeats of indices that are equivalent. $\endgroup$ – Jon Custer Apr 16 '16 at 15:40
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How to find all 24 planes of $\{123\}$ family of planes?

For any of the $\left<111\right>$ directions, we have $3!$ i.e. $6$ $\{123\}$ slip planes. And we have $4$ $\left<111\right>$ slip directions for each plane. So in total $6\times 4 = 24$ slip systems.

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