Question

wave length of x-ray is 0.581 A°. the first order reflection for d-plane NaCl is at an angle if 6°27' , then d(100)= ?​

Answer 1

Given info : wavelength of x - ray is 0.581 A°, the first order reflection for d - plane NaCl is at an angle if 6° 27'.

To find : the value of d(100) is ...

solution : using Bragg's equation,

2dsinθ = nλ

for first order reflection, n = 1

here wavelength, λ = 0.581 A° = 0.581 × 10¯¹⁰ m

reflection at angle , θ = 6° 27'

so 2 × d × sin(6° 27') = 0.581 × 10¯¹⁰

⇒2 × d × 0.11236 = 0.581 × 10¯¹⁰

⇒d = 2.585 × 10¯¹⁰ m ≈ 2.6 × 10¯¹⁰ m

Therefore the d(100) = d = 2.6 × 10¯¹⁰ m

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