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Crystal planes and Miller indices

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.

The lattice constant of a unit cell of a cube is 3.28 Angstrom. The interplanar spacing of ( 2 0 1 ) plane is ------ Angstrom.

a)

1.093

b)

1.467

c)

1.641

d)

0.986

2.

In a cubic crystal, a given plane intercepts the axes at 3a, 3b & c. The Miller indices of the plane are ________

a)

( 3 3 1 )

b)

( 1 3 3 )

c)

( 1 1 3 )

d)

( 3 1 1 )

3.

In a crystal, a given plane is parallel to the 'a' axis and 'b' axis and intercepts the 'c' aces at c. The Miller indices of the plane are

a)

( 0 0 1 )

b)

( 1 1 0 )

c)


(,,1)\left(\infty,\infty,1\right)

d)

( 1 1 1)

4.

The inter planar spacing between ( 1 2 2 ) planes found to be 2.35 Angstrom. The lattice constant in case of simple cubic is -------- Angstrom.

a)

0.261

b)

0.783

c)

7.05

d)

21.15

5.

Intercepts of a plane in crystal is given by 1, 1/2, 1/3 in a simple cubic unit cell, Miller indices are

a)

(1 3 2)

b)

(2 6 1)

c)

(1 2 3)

d)

(3 6 1)

6.

The red shaded plane is:

a)

(100)

b)

(1,0,0)

c)

<100>

d)

{100}

7.

Identify the given plane.

a)

(011)

b)

(101)

c)

(001)

d)

(111)

8.

If a Miller index is zero, the plane is

a)

parallel to that axis

b)

perpendicular to axis

c)

equal to axis

d)

zero

9.

Interplanar distance of a family of planes with miller indices (hkl) is

a)


a=dh2+k2+l2a=\frac{d}{\sqrt{h^2+k^2+l^2}}

b)

d=ah2+k2+l2d=\frac{a}{\sqrt{h^2+k^2+l^2}}

c)

d=ah2+k2+l2 d=a\sqrt{h^2+k^2+l^2\ }

d)

h2+k2+l2\sqrt{h^2+k^2+l^2}

10.

------------- group of three numbers that indicates the orientation of a plane or set of parallel planes of atoms in a crystal

a)

Crystal structures

b)

Miller indices

c)

Bravais lattices

d)

Motif