The sin 2θ values obtained from X-ray powder diffraction pattern of a solid are 2x, 4x, 6x, 8x where x is… · ABC26PH1351
Subject: Physical Chemistry · Chapter: Solid State Chemistry · Topic: X Ray Diffraction Bragg · Exam: CSIR NET DEC 2016 · Marks: 2 · Difficulty: Medium
The $\sin 2\theta$ values obtained from X-ray powder diffraction pattern of a solid are 2x, 4x, 6x, 8x where x is equal to 0.06. The wavelength of X-ray used to obtain this pattern is 1.54 Å. The unit cell and the unit cell length, respectively are
(a)BCC, 3.146 Å
(b)FCC, 3.146 Å
(c)SCC, 6.281 Å
(d)BCC, 1.544 Å
Answer
Answer: A ✓ checked by 4AB · confidence high
Explanation
sin²θ in the ratio 2:4:6:8 (h²+k²+l² = 2, 4, 6, 8) is the bcc sequence (110), (200), (211), (220). From (110): a = λ√2/(2 sin θ) = 1.54 × 1.414/(2 × 0.3464) = 3.146 Å.