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

 

2aa    

3bb    

cc     

Lattice parameters

 

12

13

 11

Reciprocals

 

3

2

6

Multiplying by LCM (6)

 

Hence, the Miller indices are (3, 2, 6)

 

(ii)   

x

y

z

 

 

2b

c

Intercepts

 

a    

2bb    

cc     

Lattice parameters

 

1

12

 11

Reciprocals

 

0

1

2

Multiplying by LCM (2)

 

Hence, the Miller indices are (0, 1, 2)

 

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