Question

The value of h in the Miller-Bravais Index (4̅1h0) is .............

Hint:

For hexagonal crystal systems, the Miller-Bravais index involves a relationship between the indices \( h, k, i \), and \( l \). The calculation of one index requires knowing the others.

Answer 1

Correct Answer: 3

To determine the value of h in the Miller-Bravais Index (4̅1h0), we need to understand how indices are calculated in the hexagonal crystal system. The Miller-Bravais indices are used to describe planes in this system, which involves four indices: (hkl) and (hkil). For the four-index system:

u + v + t = 0

where:

• u = h
• v = k
• t = -(u + v)
• w = l

In our index (4̅1h0):

• u = 4̅ (representing negative 4)
• v = 1
• w = 0 (for the l in traditional Miller index)

Substitute these values into the equation for t:

t = -(u + v) = -(-4 + 1) = -(−3) = 3

Thus, h = t = 3.

The computed value for h is 3