# 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.

**Q1: **

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.

**Q7: **

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.

**Q8: **

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/cm
^{3} - B18.4 g/cm
^{3} - C4.58 g/cm
^{3} - D18.3 g/cm
^{3} - E2.29 g/cm
^{3}