The wavelength of the X-rays is 155.06pm when the first-order diffraction of X-rays aimed at a crystal of NaCl occurs at 15.9°.
Diffraction describes the outward propagation of waves around obstacles. Diffraction can be seen in sound, electromagnetic radiation such as X-rays, gamma rays, and light, as well as in extremely small moving particles like atoms, neutrons, and electrons that have wavelike properties. When the wavelength of the radiation is comparable to the linear dimensions of the obstruction, the interference phenomenon—which occurs when waves are overlaid and may either reinforce or cancel each other out—is most prominent.
According to the question:
order of diffraction, n = 1
distance between layers, d = 283 pm ( d had been determined from the edge length and dividing it by 2)
the wavelength of the X-ray used, λ =?
the angle of coming light, Θ = 15.9°
Calculate the distance using Bragg's equation:
nλ = 2dsinΘ
Hence, λ = 155.06 pm
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