A crystal is composed of two elements, A and B. The basic crystal structure is a body-centered cubic (bcc) with elements A at each of the corners and element B in the center. The effective radius of element A is 1.88 Å. Assume the elements are hard spheres with the surface of each A-type atom in contact with the surface of its nearest A-type neighbor. Calculate (a) the maximum radius of the B- type atom that will fit into this structure, and (b) the volume density (#/cm³) of both the A-type atoms and the B-type atoms.

A crystal is composed of two elements, A and B. The basic crystal structure is a body-centered cubic (bcc) with elements A at each of the corners and element B in the center. The effective radius of element A is 1.88 Å. Assume the elements are hard spheres with the surface of each A-type atom in contact with the surface of its nearest A-type neighbor. Calculate (a) the maximum radius of the B- type atom that will fit into this structure, and (b) the volume density (#/cm³) of both the A-type atoms and the B-type atoms.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Concept explainers

Crystal Lattices and Unit Cell

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 arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

A crystal is composed of two elements, A and B. The basic crystal structure is a body-centered cubic
(bcc) with elements A at each of the corners and element B in the center. The effective radius of
element A is 1.88 Å. Assume the elements are hard spheres with the surface of each A-type atom in
contact with the surface of its nearest A-type neighbor. Calculate (a) the maximum radius of the B-
type atom that will fit into this structure, and (b) the volume density (#/cm³) of both the A-type atoms
and the B-type atoms.

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