Chapter 3: Problem 44
(a) Draw an orthorhombic unit cell, and within that cell, a \((02 \overline{1})\) plane. (b) Draw a monoclinic unit cell, and within that cell, a (200) plane.
Chapter 3: Problem 44
(a) Draw an orthorhombic unit cell, and within that cell, a \((02 \overline{1})\) plane. (b) Draw a monoclinic unit cell, and within that cell, a (200) plane.
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Get started for freeIron (Fe) undergoes an allotropic transformation at \(912^{\circ} \mathrm{C}:\) upon heating from a \(\mathrm{BCC}\) ( \(\alpha\) phase) to an FCC \((\gamma\) phase). Accompanying this transformation is a change in the atomic radius of \(\mathrm{Fe}-\) from \(R_{\mathrm{BCC}}=\) \(0.12584 \mathrm{~nm}\) to \(R_{\mathrm{FCC}}=0.12894 \mathrm{~nm}-\) and, in addition, a change in density (and volume). Compute the percentage volume change associated with this reaction. Does the volume increase or decrease?
If the atomic radius of lead is \(0.175 \mathrm{~nm}\), calculate the volume of its unit cell in cubic meters.
Sketch the atomic packing of the following: (a) The (100) plane for the FCC crystal structure (b) The (111) plane for the BCC crystal structure (similar to Figures \(3.12 b\) and \(3.13 b\) ).
The unit cell for uranium (U) has orthorhombic symmetry, with \(a, b\), and \(c\) lattice parameters of \(0.286,0.587\), and \(0.495 \mathrm{~nm}\), respectively. If its density, atomic weight, and atomic radius are \(19.05\) \(\mathrm{g} / \mathrm{cm}^{3}, 238.03 \mathrm{~g} / \mathrm{mol}\), and \(0.1385 \mathrm{~nm}\), respectively, compute the atomic packing factor.
Explain why the properties of polycrystalline materials are most often isotropic.
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