Question

Distance between the two planes in crystal is called as____. *​

Answer 1

The d-spacing can described as the distance between planes of atoms that give rise to diffraction peaks. Each peak in a diffractogram results from a corresponding d-spacing. The planes of atoms can be refe

Answer 2

Answer:

Distance between the two planes in a crystal is called d-spacing.

Explanation:

Let us assume that a unit cell has dimensions a, b, and c. Miller indices of the plane (hkl).

Distance between planes or d-spacing is given by

$\[\frac{1}{{{d^2}}} = \frac{{{h^2}}}{{{a^2}}} + \frac{{{k^2}}}{{{b^2}}} + \frac{{{l^2}}}{{{c^2}}}\]$

This is for when all the dimensions of the unit cell are different. When all dimension of the unit cell is the same i.e. cubic cell.

In cubic cell a = b = c

So, the above formula of the distance between planes can be reduced as

$\[\begin{gathered} \frac{1}{{{d^2}}} = \frac{{{h^2}}}{{{a^2}}} + \frac{{{k^2}}}{{{b^2}}} + \frac{{{l^2}}}{{{c^2}}} \hfill \\ \frac{1}{{{d^2}}} = \frac{{{h^2}}}{{{a^2}}} + \frac{{{k^2}}}{{{a^2}}} + \frac{{{l^2}}}{{{a^2}}} \hfill \\ \frac{1}{{{d^2}}} = \frac{{{h^2} + {k^2} + {l^2}}}{{{a^2}}} \hfill \\ {d^2} = \frac{{{a^2}}}{{{h^2} + {k^2} + {l^2}}} \hfill \\ d = \sqrt {\frac{{{a^2}}}{{{h^2} + {k^2} + {l^2}}}} \hfill \\ \end{gathered} \]$