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The reflecting plane of lithium fluoride (Lif) analyzing crystal has an interplanar distance of 4 Ȧ. Calculate the wavelength of 2nd order differential line which has a glancing angle of 30°.
1. 1 Ȧ
2. 2 Ȧ
3. 3 Ȧ
4. 4 Ȧ

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Correct Answer - Option 2 : 2 Ȧ

Concept:

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:

n = 2, d = 4 Ȧ, θ = 30°

nλ = 2d sin θ

\(λ = \frac{{2d\sin θ }}{n}\)

\(= \frac{{2\; \times \;4\dot A\; \times \;\frac{1}{2}}}{2} = 2\dot A\)

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