Question

calculate the miller indices of face having a/2:b/4: ∞​

Answer 1

Answer:For (a,b,c)

x-axis y-axis z-axis

Intercepts a b c

Wiess indics  

a

a

​

=1  

b

b

​

=1  

c

c

​

=1

Miller indics  

1

1

​

=1  

1

1

​

=1  

1

1

​

=1

∴ Miller indices =[1 1 1]

For (2a,b,c)

x-axis y-axis z-axis

Intercepts 2a b c

Wiess indics  

a

2a

​

=2  

b

b

​

=1  

c

c

​

=1

Reverse  

2

1

​

   

1

1

​

   

1

1

​

 

Miller indics  

2

1

​

×2=1 1×2=2 1×2=2

Miller indices =[1 2 2]

For (2a,−3b,−3c)

x-axis y-axis z-axis

Intercepts 2a −3b −3c

Wiess indics  

b

2a

​

=2  

b

−3b

​

=3  

c

−3c

​

=−3

Reverse  

2

1

​

   

3

−1

​

   

3

−1

​

 

Miller indices  

2

1

​

×6  

3

−1

​

×6  

3

−1

​

×6

=3 =−2 =−2

∴ Miller indices =[3  

2

   

2

].