A face of a crystal intercepts X-axis at - 2 a but does not cut the F-axis and Z-axis at all. The Miller indices of the face will be

Question

A face of a crystal intercepts X-axis at - 2 a but does not cut the F-axis and Z-axis at all. The Miller indices of the face will be (A) 200 (B)  bar200 (C) 100 (D)  bar100

Tardigrade Admin · Accepted Answer

Coefficients of a, b, c are - 2, ∞ , ∞ Their reciprocals are - (1/2) , (1/∞) , (1/∞ ) , i.e., - (1/2) , 0 , 0 Multiplying with LCM, we get - 1, 0, 0, i.e., bar1 00

Q. A face of a crystal intercepts X-axis at - 2 a but does not cut the F-axis and Z-axis at all. The Miller indices of the face will be

200

$\overset{ˉ}{2} 00$

100

$\overset{ˉ}{1} 00$

Coefficients of a, b, c are $- 2, \infty, \infty$ Their reciprocals are $- \frac{1}{2}, \frac{1}{\infty}, \frac{1}{\infty}, i . e ., - \frac{1}{2}, 0, 0$ Multiplying with LCM, we get - 1, 0, 0, i.e., $\overset{ˉ}{1} 00$

Q. A face of a crystal intercepts X-axis at - 2 a but does not cut the F-axis and Z-axis at all. The Miller indices of the face will be

200

2ˉ00

100

1ˉ00

Coefficients of a, b, c are −2,∞,∞ Their reciprocals are −21​,∞1​,∞1​,i.e.,−21​,0,0 Multiplying with LCM, we get - 1, 0, 0, i.e., 1ˉ00

$\overset{ˉ}{2} 00$

$\overset{ˉ}{1} 00$

Coefficients of a, b, c are $- 2, \infty, \infty$ Their reciprocals are $- \frac{1}{2}, \frac{1}{\infty}, \frac{1}{\infty}, i . e ., - \frac{1}{2}, 0, 0$ Multiplying with LCM, we get - 1, 0, 0, i.e., $\overset{ˉ}{1} 00$