Question

what fraction of edge length occupied by the particles in BCC​

Answer 1

Given:

BCC structure

To find:

The fraction of edge length occupied by the particles in BCC​.

Solution:

• We know that, in BCC structure, the atoms at the body diagonal touch each other.

• Therefore, So, √3a = 4r

• So, r/a = √3 / 4

• Now, in an edge length, 2r distance is covered radius and thus, the remaining distance is a−2r which is uncovered.

• This implies, Fraction of uncovered edge = (a−2r​) / a

                                                                     = a ( 1 - 2(√3 / 4) / a

                                                                     = 0.136

• Therefore, the fraction of edge length occupied will be -

        = 1 - 0.136

        = 0.864

Answer 2

Explanation:

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