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Question: The first order reflection \((n = 1)\) from a crystal of the X-ray from a copper anode tube \((\lamb...

The first order reflection (n=1)(n = 1) from a crystal of the X-ray from a copper anode tube (λ=0.154nm)(\lambda = 0.154nm) occurs at an angle of 16.3°. What is the distance between the set of planes causing the diffraction.

A

0.374nm0.374nm

B

0.561nm0.561nm

C

0.274nm0.274nm

D

0.395nm0.395nm

Answer

0.274nm0.274nm

Explanation

Solution

From Bragg’s equation,nλ=2dsin⁡θ\mathbf{n\lambda = 2d}\mathbf{\sin}\mathbf{\theta};

d=n×λ2sin⁡θ=1×0.1542(sin⁡16.3)=0.154nm2×0.281=0.274nmd = \frac{n \times \lambda}{2\sin\theta} = \frac{1 \times 0.154}{2(\sin 16.3)} = \frac{0.154nm}{2 \times 0.281} = 0.274nm