Question

In: Physics

The sine of angle on the plane (111) of a cubic rock salt crystal (a =...

The sine of angle on the plane (111) of a cubic rock salt crystal (a = 338 pm corresponding to fourth order diffraction maxima with wavelength 0.81 A is,

Expert Solution

The Given Details are

Plane(hkl) = 111

Wavelength () = .81 A = .81 * 10 ^-10 m

Lattice constant (a) = 338 pm = 338 * 10^-12 m

Order of diffraction (n) = 4

Bragg's law is

2d sin = n (1)

Rock salt is Face Centerd Cube (FCC)

S0, d=

d = (338 * 10^-12 )/ m (2)

d = 195.14 * 10^-12 m

we have to find the sine angle of the plane

that is sin

substitute (2) in (1)

sin = n/2d

sin = (4*.81*10^-10)/(2*195.14*10^-12)

sin = (3.24 * 10^-10)/(390.28*10^-12)

sin = 324/390.28

sin = .830

Where is the glacing angle

= 56.10^o

genius_generous answered 2 years ago

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