Question

if the spacing between planes of atoms in a nacl crystal is 0.281 nm, what is the predicted angle at which 0.192-nm x-rays are diffracted in a first-order maximum?

Answer 1

46.9° predicted angle at which 0.192-nm x-rays are diffracted in a first-order maximum

λ= 0.192 nm

d= 0.281 nm

formula: 2dsinθ= mλ

⇒ sinθ =mλ/2d

⇒1(0.281×10-9m)/2(0.192×10-9m)

⇒sinθ = 0.731

⇒θ = sin-1(0.731)

⇒θ = 46.9°

The gamma ray has the smallest wavelength and the longest frequency, as can be seen from the samples given above. With the knowledge provided above, we can state that the order of increasing frequency for gamma rays, microwaves, visible light, and X-rays is as follows: X-rays, gamma rays, visible light, microwaves

if the spacing between planes of atoms in a nacl crystal is 0.281 nm, what is the predicted angle at which 0.192-nm x-rays are diffracted in a first-order maximum?

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