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Question
Match the type of packing given in Column I with the items given in Column II.
| Column I | Column II |
| (i) Square close packing in two dimensions |
(a) Triangular voids |
| (ii) Hexagonal close packing in two dimensions |
(b) Pattern of spheres is repeated in every fourth layer |
| (iii) Hexagonal close packing in three dimensions |
(c) Coordination number 4 |
| (iv) Cubic close packing in three dimensions |
(d) Pattern of sphere is repeated in alternate layers |
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Solution
| Column I | Column II |
| (i) Square close packing in two dimensions |
(c) Coordination number 4 |
| (ii) Hexagonal close packing in two dimensions |
(a) Triangular voids |
| (iii) Hexagonal close packing in three dimensions |
(d) Pattern of sphere is repeated in alternate layers |
| (iv) Cubic close packing in three dimensions |
(b) Pattern of spheres is repeated in every fourth layer |
Explanation:
(i) Square close packing in two dimensions each sphere have coordination number 4, as shown below.
(ii) Hexagonal close packing in two dimensions each sphere has coordination number 6 as shown below and creates a triangular void
(iii) Hexagonal close packing in 3 dimensions is a repeated pattern of sphere in alternate layers also known as ABAB pattern
(iv) Cubic close packing in a 3 dimensions is a repeating pattern of sphere in every fourth layer.
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