Explanation Simple cubic cell: In simple cubic cell, each layer is stacked on the previous layer perfectly. There are eight atoms (one in each corner) for one atom in the unit cell. Let us consider a cube with an edge length "a" and "r" be the radius of the sphere. Figure 1: Simple cubic cell From the figure (1), the relationship between the radius of atom and the edge length is, a=2r (or) r= a 2 Body centered cubic cell: Each layer is offset from the layer before. Arrangements duplicate themselves every other layer. There are eight atoms (one in each corner) and one atom in the center for two atoms in the unit cell. Let us consider a cube with an edge length "a" and "r" be the radius of the sphere. In body centered cubic cell, the relationship between the radius of the atom and edge lengths are given as, Figure 2: Body centered cubic cell In figure (2), consider the ΔABC and ΔACG, In ΔABC, AC 2 =AB 2 +BC 2 AC= AB 2 +BC 2 AC= a 2 +a 2 AC= 2a 2 = 2 a In ΔACG, AG 2 =AC 2 +CG 2 AG= AC 2 +CG 2

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Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arran…

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Chapter 11, Problem 11.25QE

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The relationship between the radius of the atoms and the length of unit-cell edge for simple cubic, body-centered cubic and face-centered cubic cells has to be derived.

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Ch. 11 - Prob. 11.1QE Ch. 11 - Prob. 11.2QE Ch. 11 - Prob. 11.3QE Ch. 11 - Prob. 11.4QE Ch. 11 - Prob. 11.5QE Ch. 11 - Why does a perspiring body achieve greater cooling...Ch. 11 - Prob. 11.7QE Ch. 11 - Prob. 11.8QE Ch. 11 - Prob. 11.9QE Ch. 11 - Prob. 11.10QE

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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.
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Unit Cell Chemistry Simple Cubic, Body Centered Cubic, Face Centered Cubic Crystal Lattice Structu; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=HCWwRh5CXYU;License: Standard YouTube License, CC-BY

The relationship between the radius of the atoms and the length of unit-cell edge for simple cubic, body-centered cubic and face-centered cubic cells has to be derived.

Solution Summary: The author explains the relationship between the radius of the atoms and the length of unit-cell edge for simple cubic, body-centered cubic and face-centric cubic cells.

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Interpretation: The relationship between the radius of the atoms and the length of unit-cell edge for simple cubic, body-centered cubic and face-centered cubic cells has to be derived.

Chapter 11 Solutions

Interpretation:

The relationship between the radius of the atoms and the length of unit-cell edge for simple cubic, body-centered cubic and face-centered cubic cells has to be derived.