If number of nearest neighbours, next nearest ( 2 nd nearest) neighbour and next to next nearest ( 3 rd nearest) neighbours are x , y and z respectively for body centered cubic unit cell, then calcula

Question

If number of nearest neighbours, next nearest ( 2 nd nearest) neighbour and next to next nearest ( 3 rd nearest) neighbours are x , y and z respectively for body centered cubic unit cell, then calculate value of z x y ​

TestHub · Accepted Answer

Explain Question :

Calculate a ratio using neighbor counts in a BCC unit cell.

Concept:

Coordination numbers in Body-Centered Cubic (BCC) lattice.

Solution:

For a BCC lattice, we determine the number of nearest (x),

2nd nearest (y), and 3rd nearest (z) neighbors for an atom.

Calculation:

• x (nearest) = 8 (at center to corner distance)

• y (2nd nearest) = 6 (at distance a)

• z (3rd nearest) = 12 (at distance $2 a$ )

• Value = $\frac{x y}{z} = \frac{8 \times 6}{12} = 4$

Final Answer: 4

Chemistry - Solid State Question with Solution | TestHub

Doubts & Discussion