Worksheet: Bragg's Law
In this worksheet, we will practice derive Bragg's law and use this formula to calculate lattice spacings, scattering angles, and radiation wavelengths.
When an electron in an excited atom of molybdenum relaxes from the L-shell to the K-shell, an X-ray photon is emitted. Diffraction of this light by layers of atoms 2.64 Å apart produces a first-order reflection at . Calculate the difference in energy between the L- and K-shells of the molybdenum atom.
X-rays of wavelength 1.936 Å are diffracted by a body-centered cubic metal lattice. The radius of the metal atom is 1.260 Å. Calculate the diffraction angle of the second-order () reflection in degrees to 3 significant figures.
X-rays of wavelength 0.1057 nm are diffracted by a cubic metal lattice, producing a second-order () reflection at . The metal atom has a radius of 1.680 Å and molar mass of 210 g/mol. Calculate the density of the metal to 3 significant figures.
- A9.19 g/cm3
- B18.4 g/cm3
- C4.58 g/cm3
- D18.3 g/cm3
- E2.29 g/cm3