Worksheet: X-Ray Diffraction

In this worksheet, we will practice calculating the angles of diffraction maxima and minima for diffraction using X-rays.


Calcite crystals contain scattering planes separated by 0.300 nm. What is the angular separation between first and second-order diffraction maxima when X-rays of 0.130 nm wavelength are used?


A first-order Bragg reflection maximum is observed when a monochromatic X-ray falls on a crystal at a 3 2 . 3 angle to a reflecting plane. What is the wavelength of this X-ray?


The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?


X-rays are produced by striking a target with a beam of electrons. Prior to striking the target, the electrons are accelerated by an electric field, increasing their potential energy by Δ 𝑈 = 𝑒 Δ 𝑉 , where 𝑒 is the charge of an electron and Δ 𝑉 is the voltage of the electric field. If Δ 𝑉 = 1 5 0 0 0 volts, what is the minimum wavelength of the emitted radiation?


On a certain crystal, a second-order X-ray diffraction maximum is observed at an angle of 2 6 . 0 relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a known wavelength of 0.106 nm, a second-order maximum is detected at 3 8 . 3 .

Find the spacing between the reflecting planes.

Find the unknown wavelength.


X-rays of wavelength 0.100 nm reflect off a crystal and a third-order maximum is recorded at a Bragg angle of 2 7 . 0 . What is the spacing between the scattering planes in the crystal?


An X-ray scattering experiment is performed on a crystal whose atoms form planes separated by 0.320 nm. Using an X-ray source of wavelength 0.496 nm, what is the angle at which the experimenter needs to illuminate the crystal to observe the first-order maximum?


The first-order Bragg angle for a certain crystal is 1 4 . What is the second-order angle?

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.