Q3. Lattice type from first-order Bragg reflections
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.
Part of VKC Basic
Read the key points and the full model answer with VKC Basic
VKC Basic (₹999 for 6 months) opens every solved answer, the notes, the handbook and the daily answer archive. Every Mains test series includes it.
The full model answer
As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.
CoversBragg's lawX-ray diffractioncubic latticeface-centred cubicsystematic absencesinterplanar spacing