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The angles between the tetrahedral bonds of diamond are the same as the lines connecting the...

The angles between the tetrahedral bonds of diamond are the same as the lines connecting the center of a cube at (0, 0 , 0) to four of the eight corners, say (1, 1, 1), (1, -1, -1), (-1, 1, -1) and (-1, -1, 1).

(a) Sketch a cube and mark these for corners.

(b) Use vector analysis to find the value of the angle.

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