Chapter 3: Problem 1
What is the difference between atomic structure and crystal structure?
Chapter 3: Problem 1
What is the difference between atomic structure and crystal structure?
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Get started for freeRhodium has an atomic radius of \(0.1345 \mathrm{~nm}\) and a density of \(12.41 \mathrm{~g} / \mathrm{cm}^{3}\). Determine whether it has an FCC or BCC crystal structure.
Figure \(3.22\) shows an \(\mathrm{x}\)-ray diffraction pattern for \(\alpha\)-iron taken using a diffractometer and monochromatic \(\mathrm{x}\)-radiation having a wavelength of \(0.1542 \mathrm{~nm}\); each diffraction peak on the pattern has been indexed. Compute the interplanar spacing for each set of planes indexed; also determine the lattice parameter of Fe for each of the peaks.
The unit cell for tin has tetragonal symmetry, with \(a\) and \(b\) lattice parameters of \(0.583\) and \(0.318 \mathrm{~nm}\), respectively. If its density, atomic weight, and atomic radius are \(7.27 \mathrm{~g} / \mathrm{cm}^{3}\), \(118.71 \mathrm{~g} / \mathrm{mol}\), and \(0.151 \mathrm{~nm}\), respectively, compute the atomic packing factor.
Sketch a unit cell for the body-centered orthorhombic crystal structure.
The metal rubidium has a BCC crystal structure. If the angle of diffraction for the (321) set of planes occurs at \(27.00^{\circ}\) (first-order reflection) when monochromatic \(\mathrm{x}\)-radiation having a wavelength of \(0.0711 \mathrm{~nm}\) is used, compute (a) the interplanar spacing for this set of planes and (b) the atomic radius for the rubidium atom.
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