The Weiss symbol of a crystal face is 4a: 2b: c. The value of h in the corresponding Miller Index (hkl) is _____.Correct answer is '1'. Can you explain this answer?

Question

Answer

Explanation:

The Weiss symbol of a crystal face is given as 4a: 2b: c.

This means that the crystal face intercepts the crystallographic axes in the ratio of 4 : 2 : 1.

The Miller indices (hkl) of a crystal face are determined by multiplying the intercepts of the face on the crystallographic axes by the reciprocal of the lattice parameters (a, b, c).

Therefore, the Miller indices of the crystal face can be calculated as follows:

h : k : l = (4/a) : (2/b) : (1/c)

To determine the value of h in the Miller indices, we need to isolate h in the above equation.

Multiplying both sides by a/c, we get:

h(a/c) : k(2/b) : l = 4 : 2 : 1

hence, h(a/c) = 4, which gives h = 4c/a.

Since the value of h must be an integer, we can choose a and c such that h takes the value of 1.

Therefore, the value of h in the Miller indices (hkl) for the given Weiss symbol is 1.

Answer

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