# NEET Chemistry The Solid State Questions Solved

Calculate the Miller indices of crystal planes which cut through the crystal axes at (i) (2a, 3b, c), (ii) (∞, 2b, c )

(1) 3, 2, 6 and 0, 1, 2

(2) 4, 2, 6 and 0, 2, 1

(3) 6, 2, 3 and 0, 0, 1

(4) 7, 2, 3 and 1, 1, 1

(1)

 (i) x y z 2a 3b c Intercepts $\frac{2a}{a}$ $\frac{3b}{b}$ $\frac{c}{c}$ Lattice parameters $\frac{1}{2}$ $\frac{1}{3}$ $\frac{1}{1}$ Reciprocals 3 2 6 Multiplying by LCM (6) Hence, the Miller indices are (3, 2, 6)

 (ii) x y z ∞ 2b c Intercepts $\frac{\infty }{a}$ $\frac{2b}{b}$ $\frac{c}{c}$ Lattice parameters $\frac{1}{\infty }$ $\frac{1}{2}$ $\frac{1}{1}$ Reciprocals 0 1 2 Multiplying by LCM (2) Hence, the Miller indices are (0, 1, 2)

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