﻿ The density of chromium is 7.2 g cm–3. If the unit cell is cubic with edge length of 289 pm, determine the type of the unit cell (Atomic mass of Cr = 52 amu). from Chemistry The Solid State Class 12 Nagaland Board

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The density of chromium is 7.2 g cm–3. If the unit cell is cubic with edge length of 289 pm, determine the type of the unit cell (Atomic mass of Cr = 52 amu).

Solution:
We have given that

Gram atomic mass of Cr(M) = 52.0 g mol-1
Edge length of unit cell (a) = 289 pm
Density of unit cell $\left(\mathrm{\rho }\right)$ = 7.2 g cm-3

or              $\mathrm{Z}=\frac{\mathrm{\rho }×{\mathrm{a}}^{3}×{\mathrm{N}}_{\mathrm{A}}×{10}^{-30}}{\mathrm{M}}$

Since the unit cell has 2 atoms, it is body centre in nature.

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