If an X-ray beam of wavelength 1.4 × 10^-10 m makes an angle of 30° with a set of planes in a crystal causing first order constructive interference,what is the plane spacing? A) 0.28 nm B) 0.070 nm C) 0.32 nm D) 0.16 nm E) 0.14 nm

Question

Quizplus · Accepted Answer

Using Bragg's Law, nλ = 2d sin θ, for first order (n=1), λ = 1.4 × 10^-10 m, θ = 30°, solve for d: d = λ / (2 sin θ) = 1.4 × 10^-10 m / (2 × 0.5) = 1.4 × 10^-10 m = 0.14 nm.

If an X-Ray Beam of Wavelength 1