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Find the Miller indices of a set of parallel planes which makes intercepts in the ratio 3a:4b on the X and Y axes and parallel to Z-axis.

Mumbai university > FE > SEM 1 > Applied Physics 1

Marks: 3M

Year: May 2014

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Given:-

X-Intercept = 3a

Y-Intercept = 4b

Z-Intercept = ∞

To Find:-

Miller Indices

Solution:-

As a, b and c are basis vectors, the proportion of intercepts is 3:4:∞

The reciprocals will be

$$\frac{1}{3}:\frac{1}{4}:\frac{1}{∞}$$

Taking LCM and converting into integers we get: 4, 3, 0

Therefore,

Miller Indices are (4 3 0)

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