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Consider a hypothetical metal that has a density of 7.25 g/cm3, an atomic weight of 72.72 g/mol, and an atomic radius of 0.140 nm. Compute the atomic packing factor if the unit cell has tetragonal symmetry, values for the a and c lattice parameters are 0.416 and 0.385, respectively
The unit cell for Cr2O3 has hexagonal symmetry with lattice parameters a = 0.4961 nm and c = 1.360 nm. If the density of this material is 5.22 g/cm3, calculate itsatomic packing factor. For this computation, assume ionic radii of 0.062 nm and 0.140 nm, respectively, for Cr3+ and O2-.
Find the lattice parameters a, density, the atomic concentration
and atomic packing factor (APF) for both the α-iron (left) and
γ-iron (right) phases. The atomic radius for iron is 126 pm and the
MW=55.845 g/mole
gth of an atom Half of an atom 2R
gth of an atom Half of an atom 2R
1. The atomic packing factor can be used to estimate density of a material. Both gold and germanium have cubic structures. (a) Calculate the packing factor for both gold and germanium. Assume spherical atoms, and that the density of gold and germanium are 19.32 and 5.32 g/cm3, respectively and the atomic radii are 1.44 Å and 1.20 Å, respectively. (b) Explain the difference in terms of the nature of the interatomic bonding.
1. Compute the percent ionic character of the interatomic bonds for each of the following compounds: TiO2, ZnTe, Csci, InSb, and MgCl2. Calculate the number of vacancies per cubic meter in iron at 850°C. The energy for vacancy formation is 1.08 eV/atom. The density and atomic weight for Fe are 7.65 g/cm3 and 55.85 g/mol, respectively 3. Molybdenum forms a substitutional solid solution with tungsten. Compute the weight percent of molybdenum that must be added to tungsten to yield an...
A metal having a cubic structure has a density of 2.6 g/cm3, an atomic weight of 87.62 g/mol, and a lattice parameter of 6.0849 Å. How many atoms are present in the unit cell?
5) For the following structure, give the Bravais lattice and determine the lattice parameters, the packing factor and the theoretical density. If the unit cell is smaller than that shown, sketch the smaller unit cell. Show your work. Open circles represent A atoms: ra = 1.5 Å, AWA = 100 g/mole Filled circles represent B atoms: rb = 1.0 Å, AWB = 40 g/mole Cross-hatched (or gray) circles represent: C atoms: rc = 1.3 Å, AWB = 60 g/mole Na...
Chapter 03, Reserve Problem 09: Cubic unit cell Some metal is known to have a cubic unit cell with an edge length of 0.475 nm. In addition, it has a density of 3.82 g/cm3 and an atomic weight of 61.61 g/mol. Indicate the letter of the metal listed in the following table that has these characteristics. Atomic Radius (nm) 0.206 0.336 0.168 0.136 MetalCrystal Structure BCC FCC FCC HCP
Chapter 03, Reserve Problem 09: Cubic unit cell Some metal is...
2. Calculate the atomic packing factor of the zinc blend (ZnS) crystal structure. The ZnS unit cell is shown below. (14 marks) The ionic radii of Zn?" and S. are 0.060 and 0.174 nm, respectively, On Os
1. (a) Find the packing density (total atomic volume/unit cell volume) for fcc copper (Cu, a - 0.3624 nm), assuming a hard sphere model for these atoms. (b) Now find the packing density of NaCl see details about this structure in problem 1.11 (4th Ed) (or look it up directly in the Inorganic Crystal Data Base). Explain why NaCl is NOT "simple cubic. What is the bravais lattice?