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ciencias de materiales ejerciicios
Tipo: Ejercicios
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3.7 Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and an atomic weight of 55.85 g/mol. Compute and compare its theoretical density with the experimental value found inside the front cover. 3.9 Calculate the radius of a vanadium atom, given that V has a BCC crystal structure, a density of 5. g/cm3 , and an atomic weight of 50.9 g/mol. Nombre: Aragon Yajaira Curso: GR 1
3.12 Using atomic weight, crystal structure, and atomic radius data tabulated inside the front cover, compute the theoretical densities of lead, chromium, copper, and cobalt, and then compare these values with the measured densities listed in this same table. The ratio for cobalt is 1.623.
3.14 The atomic weight, density, and atomic radius for three hypothetical alloys are listed in the following table. For each, determine whether its crystal structure is FCC, BCC, or simple cubic and then justify your determination. A simple cubic unit cell is shown in Figure 3.
3.16 Iodine has an orthorhombic unit cell for which the a, b, and c lattice parameters are 0.479, 0.725, and 0.978 nm, respectively. (a) If the atomic packing factor and atomic radius are 0.547 and 0.177 nm, respectively, determine the number of atoms in each unit cell. (b) The atomic weight of iodine is 126. g/mol; compute its theoretical density. 3.25 Sketch a tetragonal unit cell, and within that cell indicate locations of the point coordinates.
3.34 Convert the [100] and [111] directions into the four-index Miller–Bravais scheme for hexagonal unit cells.
3.45 Sketch the atomic packing of (a) the (100) plane for the BCC crystal structure, and (b) the (201) plane for the FCC crystal structure (similar to Figures 3.11b and 3.12b).
3.46 Consider the reduced-sphere unit cell shown in Problem 3.20, having an origin of the coordinate system positioned at the atom labeled O. For the following sets of planes, determine which are equivalent:
3.58 Using the data for molybdenum in Table 3.1, compute the interplanar spacing for the (111) set of planes.
3.59 Determine the expescted diffraction angle for the first-order reflection from the (113) set of planes for FCC platinum when monochromatic radiation of wavelength 0.1542 nm is used. 3.60 Using the data for aluminum in Table 3.1, compute the interplanar spacings for the (110) and (221) sets of planes.
