Question

A plane which cut only one of the axes but gose parallel to the remaining two axes will have its Miller indices has A .100 ,B. 110 , C . 111 D. 101​

Answer 1

Answer:

the answer should be 110 here

Answer 2

A plane which cut only one of the axes but goes parallel to the remaining two axes will have its miller indices as option (A) 100.

Explanation:

1. Miller indices are used to specify directions and planes.These directions and planes could be in crystal or in lattices.
2. It is represented by (h,k,l) where h,k,l are points.
3. In order to find miller indices for planes:
   i)Identify the plane intercepts on the three axes ie. x,y,z
   ii)Specify intercepts by fractional coordinates.
   iii)Take reciprocal of the fractional coordinates.
4. Given in the question, the plane intersects only one of the axis and goes parallel to the remaining two.
5.Thus, it can be designated as (a) (1,∞,∞),if it cuts x axis and goes parallel to y,z axis.
                                                 (b) as(∞,1,∞),if it cuts y axis and goes parallel to x,z axis.
                                               (c) as (∞,∞,1),if it cuts z axis and goes parallel to x,y azis.
6. ∵Miller indices are reciprocal of the parameter of each crystal face therefore,
          For (a),  Miller indices= $(\frac{1}{1} ,\frac{1}{\infty} ,\frac{1}{\infty} )$=(1,0,0)
                 (b)   Miller Indices=$(\frac{1}{\infty} ,\frac{1}{1} ,\frac{1}{\infty} )$=(0,1,0)
                 (c)   Miller Indices=$(\frac{1}{\infty} ,\frac{1}{\infty} ,\frac{1}{1} )$=(0,0,1)
7.Since in the question only option A matches with one of the three miller indices found ,hence the correct answer is (1,0,0).