In this worksheet, we will practice calculating the angles of diffraction maxima and minima for diffraction using X-rays.
A first-order Bragg reflection maximum is observed when a monochromatic X-ray falls on a crystal at a 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 , where is the charge of an electron and is the voltage of the electric field. If 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 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 .
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 . 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 . What is the second-order angle?