1.

How many symmetry elements are there for a cubic structure or a crystal ?

Answer»

Solution :There are 3 types of symmetry elements. They are : (a) centre of symmetry, (b) AXIS of symmetry and (c) PLANE of symmetry. A cube has 1 centre of symmetry. A cube has 3 axis of four fold symmetry, 4 axis of three fold symmetry and 6 axis of two fold symmetry. A cube has 3 rectangular PLANES of symmetry and 6 diagonal planes of symmetry. The total NUMBER of symmetry elements of a cube = 1 + (3 + 4 + 6) + (3 + 6) = 23.


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