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 23
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?
Guida verificata passo dopo passo1
Identify the initial structure as a primitive cubic lattice, where all sides are equal and all angles are 90 degrees.
Visualize the process of stretching the lattice vertically, which means increasing the height while keeping the base dimensions the same.
Note that the angles remain 90 degrees, so the shape transforms into a rectangular prism.
Recognize that the new lattice structure is a primitive tetragonal lattice, characterized by two equal base dimensions and a different height dimension, with all angles remaining 90 degrees.
Conclude that stretching a primitive cubic lattice vertically while maintaining 90-degree angles results in a primitive tetragonal lattice.
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Primitive Cubic Lattice
A primitive cubic lattice is a type of crystal structure where atoms are located at the corners of a cube. Each unit cell contains one atom, as the corner atoms are shared among adjacent cells. This arrangement is characterized by its simple geometry and is the basis for understanding more complex lattice structures.
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00:49
Lattice Energy
Lattice Distortion
Lattice distortion refers to the alteration of the regular arrangement of atoms in a crystal lattice. In this scenario, stretching the primitive cubic lattice vertically while maintaining 90-degree angles transforms it into a rectangular prism, indicating a change in the unit cell dimensions while preserving the overall symmetry of the structure.
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00:49Lattice Energy
Unit Cell
The unit cell is the smallest repeating unit in a crystal lattice that reflects the overall symmetry and structure of the entire crystal. In the case of the stretched primitive cubic lattice, the unit cell changes from a cube to a rectangular prism, which affects the properties of the material, such as density and symmetry.
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01:27Simple Cubic Unit Cell
Pratica correlata
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)
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Domanda del libro di testo
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.
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Domanda del libro di testo
(b) Now draw a picture that represents an amorphous solid at the atomic level.
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