Question

The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respectively:

Answer 1

Answer -

• The ratio of a number of atoms present in a simple cubic, body-centered cubic and face-centered cubic structure are, respectively.

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Answer 2

Answer:

The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure is 1 : 2 :4.

Explanation:

1. In case of a simple cubic structure atoms are present only at corners of each cube. As each atom at the corner is shared with 8 cubes, the effective no. of atoms in each cube = 8 X 1/8 =1
2. In case of a body centred cube, one atom is present at the corners of the cube and one is present in the centre, the total no. of atoms in each cube  = 1 + (8 X 1/8)

                                = 1 + 1

                                = 2

    3.In case of a face centred cubic structure atoms are present at     corners and face centres of each cube. As each atom at the corner is shared with 8 cubes, and at the faces with 2 cubes the effective no. of atoms in each cube = (8 X 1/8) + ( 6 X 1/2)

1.                              = 1 + 3

1.                               = 4

Thus, the ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure is 1 : 2 :4.