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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

Answer (Detailed Solution Below)

Option 2 : 2 Ȧ
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Detailed Solution

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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

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