Question
Download Solution PDFThe diffraction pattern of copper metal was measured with X-ray radiation of wavelength of 1.315 Å. The first order Bragg diffraction peak was found at an angle 2θ of 60°. The d-spacing between the diffracting planes in the copper metal is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Bragg’s Law states that when an X-ray beam are allowed to scatter through a crystalline surface, its angle of incidence θ will reflect with some angle of scattering θ. And when the path difference d is equal to a whole number n, of wavelength.
It can be represented as
2dsinθ =nλ
Calculation:
Given:
λ = 1.315 Å, n = 1,
2θ = 60°
θ = 30°
From Bragg’s law:
2d sin θ = nλ
2 × d × sin 30° = 1 × 1.315
\(d = \frac{{1.315}}{{2\; \times \;\sin 30^\circ }} = 1.315Å\)
Last updated on Jul 4, 2025
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