A crystal is composed of two elements, A and B. The basic crystal structure is a body- centered cubic with clements A at each of the corners and element B in the center. The effective radius of element A is 1.02 Å. Assume the elements arc hard spheres with the surface of each A-type atom in contact with the surface of its nearest A-type neighhor. Calculate (a) the maximum radius of the B-type atom that will fit into this structure, and (b) the volume density (#/cm') of both the A-type atoms and the B-type atoms.

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Q3//
A crystal is composed of two elements, A and B. The basic crystal structure is a body-
centered cubic with clements A at each of the corners and element B in the center. The
effective radius of element A is 1.02 Å. Assume the elements arc hard spheres with the
surface of each A-type atom in contact with the surface of its nearest A-type neighhor.
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.
Transcribed Image Text:Q3// A crystal is composed of two elements, A and B. The basic crystal structure is a body- centered cubic with clements A at each of the corners and element B in the center. The effective radius of element A is 1.02 Å. Assume the elements arc hard spheres with the surface of each A-type atom in contact with the surface of its nearest A-type neighhor. 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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