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UPSC Combined Geo-Scientist

Chemist

  • 3 descriptive papers
  • 200 marks each
  • 3 h per paper

Mains Paper II covers physical chemistry.

UPSC Combined Geo-Scientist, Mains · 2021 · Mains Paper II

Q3. Lattice type from first-order Bragg reflections

Question

The first order reflections from the 100, 110 and 111 planes of a given cubic crystal were found to occur at angles 5.9°, 8.4° and 5.2° respectively. Determine the type of crystal lattice to which the crystal belongs.

Answer in brief

d₁₀₀ : d₁₁₀ : d₁₁₁ = 1 : 0.704 : 1.134 ≈ 1 : 1/√2 : 2/√3 ⇒ face-centred cubic lattice.

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CoversBragg's lawX-ray diffractioncubic latticeface-centred cubicsystematic absencesinterplanar spacing