Chapter: Solid State· Chemistry

The relation between radius of sphere and edge length in simple cubic lattice is ____.

Q.1 (iii) The relation between radius of sphere and edge length in simple cubic lattice is ____.

A. \(\sqrt{3}\,r = 4a\)

B. \(\sqrt{3}\,a = 4r\)

C. \(r = \dfrac{a}{2}\)

D. \(\sqrt{2}\,a = 4r\)

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Answer: (c) \(r = \dfrac{a}{2}\)

In a simple cubic unit cell the spheres touch each other along the cube edge, so \(a = 2r\), i.e. \(r = a/2\). (For bcc, \(\sqrt{3}\,a = 4r\); for fcc, \(\sqrt{2}\,a = 4r\).)

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The relation between radius of sphere and edge length in simple cubic lattice is ____.

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