... three planes of the unit cell is shown below: We can see from the above figure that one edge of the (001) plane must be equal in length to one edge of the (101) plane. There is only one possible orientation of the two planes that can produce this condition - the alignment of the 0.40 nm edge of the (001) plane to the 0.40 nm edge of the (101) plane. The (001) plane and (101) planes have been orientated so that their 0.40 nm edges are coincident in the following diagram of the unit cell: The diagonals of each of these planes can be calculated using the pythagorean theorem. Regardless of the orientation of any of the planes, their diagonals will always be of the same length. The diagonal of the (001) plane is of particular interest, because it is aligned with one of the edges of the (110) plane. This ...

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