Question

Miller indices for crystal axes 2a,-3b,-4c

Answer 1

2a -7 Miller indices for crystal area

Answer 2

Answer : The Miller indices are $(6\bar{4}\bar{3})$

Explanation :

Miller indices : It is defined as a plane of a crystal are inversely proportional to the intercepts of that plane on the various axes.

The Miller indices of the given crystal axes can be calculated as :

(1) First write the fractional intercepts of crystal axes.

(2) Now reciprocals of the coefficients of crystal axes.

(3) Now multiplying by the number in order to get the whole number.

Crystal axes                     a               b              c

Fractional intercept          2              -3             -4

Reciprocals                      1/2            -1/3           -1/4

Now multiplying by 12, we get the whole number.

Clear fraction                    6                -4             -3

Hence, the Miller indices are $(6\bar{4}\bar{3})$