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MHT CET Chemistry Solid State 2026 MHT CET 2026 (11 April Shift 2)

MHT CET Chemistry Question (2026) — Solution

Question

What is the number of neighbouring spheres for any particle in the fcc crystal lattice ?

Options

  1. A. 6
  2. B. 8
  3. C. 10
  4. D. 12

Answer

D. 12

Step-by-step solution

In a face-centered cubic (fcc) crystal lattice, the coordination number is defined as the number of nearest neighbouring spheres for any given particle. Considering a face-centered atom, it is in contact with 4 corner atoms in its own plane. Additionally, it is in contact with 4 face-centered atoms in the plane immediately above it and 4 face-centered atoms in the plane immediately below it. Total number of nearest neighbours = 4 + 4 + 4 = 12. Thus, the coordination number for any particle in an fcc lattice is 12. Answer: 12

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