Domanda del libro di testo
Two patterns of packing two different circles of the same size are shown here. For each structure (c) determine the type of two-dimensional lattice (from Figure 12.4). (i)
(ii)
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Ch.12 - Solids and Modern Materials
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 12, Problema 25
Which of the three-dimensional primitive lattices has a unit cell where none of the internal angles is 90? (a) Orthorhombic, (b) hexagonal, (c) rhombohedral, (d) triclinic, (e) both rhombohedral and triclinic.
Guida verificata passo dopo passo1
Understand the concept of a unit cell in crystallography, which is the smallest repeating unit in a crystal lattice that shows the entire structure's symmetry.
Recognize that a primitive lattice is a type of crystal lattice where each lattice point is occupied by a single atom or molecule.
Recall the characteristics of different types of unit cells: Orthorhombic has all angles at 90 degrees, Hexagonal has two angles at 90 degrees and one at 120 degrees, Rhombohedral has all sides equal and angles equal but not 90 degrees, Triclinic has no angles at 90 degrees, and both Rhombohedral and Triclinic can have none of the internal angles at 90 degrees.
Identify that the question asks for a lattice where none of the internal angles is 90 degrees.
Conclude that the correct options are (d) triclinic and (e) both rhombohedral and triclinic, as these can have unit cells with no 90-degree angles.
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Primitive Lattices
Primitive lattices are the simplest repeating units in a crystal structure, defined by their unit cells. These unit cells can vary in shape and size, and they are characterized by their lattice parameters, which include the lengths of the edges and the angles between them. Understanding the types of primitive lattices is essential for identifying their geometric properties.
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00:49
Lattice Energy
Unit Cell Angles
The angles between the edges of a unit cell are crucial for classifying crystal systems. In three-dimensional lattices, the internal angles can be 90 degrees or vary, leading to different classifications such as orthorhombic (all angles 90°) or triclinic (no angles 90°). Recognizing these angles helps in determining the symmetry and properties of the crystal structure.
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01:27Simple Cubic Unit Cell
Crystal Systems
Crystal systems categorize crystals based on their symmetry and lattice parameters. There are seven primary crystal systems, including triclinic and rhombohedral, which are characterized by their unique angles and edge lengths. Understanding these systems is vital for identifying which lattices have non-right angles and for solving related crystallography problems.
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02:06Entropy of the System
Pratica correlata
Domanda del libro di testo
What is the minimum number of atoms that could be contained in the unit cell of an element with a face-centered cubic lattice? (a) 1, (b) 2, (c) 3, (d) 4, (e) 5.
686
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Domanda del libro di testo
Two patterns of packing for two different circles of the same size are shown here. For each structure (b) determine the angle between the lattice vectors, g, and determine whether the lattice vectors are of the same length or of different lengths; (i)
(ii)
444
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Domanda del libro di testo
Imagine the primitive cubic lattice. Now imagine grabbing the top of it and stretching it straight up. All angles remain 90. What kind of primitive lattice have you made?
424
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