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Worksheet: X-Ray Diffraction


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?


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 Ξ” π‘ˆ = βˆ’ 𝑒 Ξ” 𝑉 , where 𝑒 is the charge of an electron and Ξ” 𝑉 is the voltage of the electric field. If Ξ” 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.


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 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?


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?


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?