Question

When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied:

d sine d sin

a). An x-ray beam with wavelength 0.120 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 23.0 ∘. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures.

b). Find the angle θ2θ2theta_2 at which you will find a second maximum.

Express your answer in degrees to three significant figures.

Answer 1

a) 1=0.12 nm. O= 23° , d = d=?, n =) nd=2dsing IX 0.12 = 2d sin 23 d=0.12 = 0.1535 2 Sin(23) d=0.1535 nm b) n=2, 1=0.12nm d=0.1535hm. na=2d sin (O2)

sin On = nd 2 d = 2X 0.12 2X0.1535 -0.7817 o 51.41° 2