Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Textbook Question
Chapter 21, Problem 21.7E
How many different unit cells can a crystal have if the unit cell (a) has all
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Gallium has an orthorhombic structure,
with a0 = 0.45258 nm, b0 = 0.45186 nm,
and c0 = 0.76570 nm. The atomic radius
is 0.1218 nm. The density is 5.904 g
cm3, and the atomic weight is 69.72 g
mol. Determine
(a) the number of atoms in each unit
cell; and (b) the packing factor in the
unit cell.
For a face-centered-cubic lattice of lattice constant a,
(a) what's the distance between nearest neighbor lattice sites?
(b) how many nearest neighbors around one lattice site?
(c) how many lattice sites within each cubic unit cell? what's the volume of a primitive cell?
The unit cell of a compound containing potassium, aluminum,and fluorine is shown here. (a) What type of latticedoes this crystal possess (all three lattice vectors are mutuallyperpendicular)? (b) What is the empirical formula?
Chapter 21 Solutions
Physical Chemistry
Ch. 21 - Prob. 21.1ECh. 21 - Boron nitride, BN, is a very hard material, harder...Ch. 21 - Prob. 21.3ECh. 21 - Prob. 21.4ECh. 21 - Figure 21.35 shows a unit cell of diamond....Ch. 21 - Prob. 21.6ECh. 21 - How many different unit cells can a crystal have...Ch. 21 - Prob. 21.8ECh. 21 - Prob. 21.9ECh. 21 - Prob. 21.10E
Ch. 21 - Prob. 21.11ECh. 21 - Prob. 21.12ECh. 21 - Prob. 21.13ECh. 21 - Prob. 21.14ECh. 21 - Prob. 21.15ECh. 21 - Prob. 21.16ECh. 21 - Prob. 21.17ECh. 21 - Prob. 21.18ECh. 21 - Prob. 21.19ECh. 21 - Prob. 21.20ECh. 21 - Prob. 21.21ECh. 21 - Prob. 21.22ECh. 21 - Prob. 21.23ECh. 21 - Prob. 21.24ECh. 21 - Prob. 21.25ECh. 21 - Prob. 21.26ECh. 21 - Prob. 21.27ECh. 21 - Prob. 21.28ECh. 21 - For a simple cubic lattice, what is the ratio of...Ch. 21 - Prob. 21.30ECh. 21 - Prob. 21.31ECh. 21 - Consider Figure 21.21. If the lower rightmost...Ch. 21 - Prob. 21.33ECh. 21 - The aluminum-nickel alloy AlNi has a simple cubic...Ch. 21 - Prob. 21.35ECh. 21 - The first two signals from a powdered sample has X...Ch. 21 - Prob. 21.37ECh. 21 - Prob. 21.38ECh. 21 - Prob. 21.39ECh. 21 - Prob. 21.40ECh. 21 - Prob. 21.41ECh. 21 - Prob. 21.42ECh. 21 - Prob. 21.43ECh. 21 - Prob. 21.44ECh. 21 - Prob. 21.45ECh. 21 - What is the coordination number in the cesium...Ch. 21 - Prob. 21.47ECh. 21 - Which solid phase that is, which allotrope of...Ch. 21 - Prob. 21.49ECh. 21 - Prob. 21.50ECh. 21 - Write Born-Haber cycles showing the relationship...Ch. 21 - Prob. 21.52ECh. 21 - Prob. 21.53ECh. 21 - Prob. 21.54ECh. 21 - The lattice energy for potassium iodide, KI, is...Ch. 21 - Prob. 21.56ECh. 21 - Prob. 21.57ECh. 21 - Prob. 21.58ECh. 21 - Prob. 21.59ECh. 21 - Prob. 21.60ECh. 21 - Prob. 21.61ECh. 21 - Prob. 21.62ECh. 21 - Prob. 21.63ECh. 21 - Prob. 21.64E
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- Palladium has a cubic crystal structure in which the edge of the unit cell is 389 pm long. If the density of palladium is 12.02 g/cm3, how many palladium atoms are in a unit cell? In which of the cubic unit cells does palladium crystallize?arrow_forwardWhat is the coordination number of Cs in CsCl? of Na in NaCl? of Zn2 in ZnS?arrow_forward• describe the arrangement of atoms in the common cubic crystal lattices and calculate the packing efficiency for a lattice.arrow_forward
- The coordination number of uniformly sized spheres in a cubic closest-packing (FCC) array is 12. Give the coordination number of each atom in (a) a simple cubic lattice. (b) a body-centered cubic lattice.arrow_forwardA cubic unit cell contains manganese ions at the corners and fluoride ions at the center of each edge.(a) What is the empirical formula of this compound? Explain your answer.(b) What is the coordination number of the Mn3+ ion?(c) Calculate the edge length of the unit cell if the radius of a Mn3+ ion is 0.65 A.(d) Calculate the density of the compound.arrow_forwardFor the shown crystal structure, write down (a) the Bravais lattice and (b) the basis of the primitive unit cell. For this structure a=b= c and a=B=y%3D90°. The green (A) atoms at the vertices; blue (B) atom at the center, pink (C) atoms are the centers of two opposite faces; and brown (D) atoms at the centers of four edges of the unit cell. Note that the a, b and c translation vectors are along the positive x, y and z axes, respectively, as shown. CODarrow_forward
- A metal X has an atomic radius of 0.126 nm. If the density and molar mass of X are 7.87 g cm3 and 55.85 g mol1, respectively. 1. (a) (i) Determine the number of atoms per unit cell and the crystal structure of metal X. (ii) Determine the volume of the unit cell. (ii) Determine its planar density in [100], [110] and [111] directions. (iv) Explain which direction would be the most possible slip direction when shear stress is applied. (b) Explain the role of matrix and reinforcement phase in a composite material.arrow_forwardCrystal structure represents the manner in which atoms or ions are arrayed in space. It is defined in terms of the unit celI (1) and the atom (2) within the unit cell. (1) = direction, (2) = sizes. (1) = plane, (2) = positions. (1) = geometry, (2) = positions. (1) = geometry, (2) = sizes.arrow_forwardWhat is the minimum number of atoms that could be containedin the unit cell of an element with a body-centeredcubic lattice? (a) 1, (b) 2, (c) 3, (d) 4, (e) 5.arrow_forward
- (a) Magnesium (Mg) has a hexagonal close-packed (HCP) crystal structure with the lattice parameter of a = 0.321 nm and c= 0.521 nm and the atomic radius is 0.173 nm. (i) What is the number of atoms per unit cell in HCP structure? (ii) Determine the atomic packing factor of the Mg unit cell. (iii) Is Mg containing an ideal atomic packing factor? You may justify your answer by evaluating the HCP c/a ratio. Subsequently, will slip be harder in Mg compared to the ideal HCP structure? Justify your answer.arrow_forward(c) State any assumptions that are made regarding close packing of atoms in crystalline solids compared to covalent bonding. (d) Draw the unit cell for a body-centered cubic (BCC) unit cell. Identify ALL contributions to the overall atom count.arrow_forward
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