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This quarter we learned that certain aspects of the crystal structure of ionic compounds can be predicted simply by looking at the relative sizes of the anions and cations. For example, the NaCl structure may be described as a close-packed FCC array of Cl- anions with Na+ cations residing at all octahedral sites; i.e., 6-fold coordination. CsCl on the other hand, with Cs+ cations being larger than Na+ cations, is described as a simple cubic array of Cl− anions with Cs+ cations at the cube center; i.e., cuboidal or 8-fold coordination. Given that the density of NaCl is 2.16 g/cm³, determine what its density would be if it had the CsCl structure. Assume that the Cl- anion size is determined by contact along the face diagonal of the NaCl unit cell (rather than a combination of Cl- and Na+ ions along the cube edges), and that Cl- anions are in contact along the cube edges of the CsCl cell (theoretically, the Na+ cations should be a little too small to fit tightly in the cube center position).

This quarter we learned that certain aspects of the crystal structure of ionic compounds can be predicted simply by looking at the relative sizes of the anions and cations. For example, the NaCl structure may be described as a close-packed FCC array of Cl- anions with Na+ cations residing at all octahedral sites; i.e., 6-fold coordination. CsCl on the other hand, with Cs+ cations being larger than Na+ cations, is described as a simple cubic array of Cl− anions with Cs+ cations at the cube center; i.e., cuboidal or 8-fold coordination. Given that the density of NaCl is 2.16 g/cm³, determine what its density would be if it had the CsCl structure. Assume that the Cl- anion size is determined by contact along the face diagonal of the NaCl unit cell (rather than a combination of Cl- and Na+ ions along the cube edges), and that Cl- anions are in contact along the cube edges of the CsCl cell (theoretically, the Na+ cations should be a little too small to fit tightly in the cube center position).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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This quarter we learned that certain aspects of the crystal structure of ionic compounds can be predicted simply by looking at the relative sizes of the anions and cations. For example, the NaCl structure may be described as a close-packed FCC array of Cl- anions with Na+ cations residing at all octahedral sites; i.e., 6-fold coordination. CsCl on the other hand, with Cs+ cations being larger than Na+ cations, is described as a simple cubic array of Cl− anions with Cs+ cations at the cube center; i.e., cuboidal or 8-fold coordination. Given that the density of NaCl is 2.16 g/cm³, determine what its density would be if it had the CsCl structure. Assume that the Cl- anion size is determined by contact along the face diagonal of the NaCl unit cell (rather than a combination of Cl- and Na+ ions along the cube edges), and that Cl- anions are in contact along the cube edges of the CsCl cell (theoretically, the Na+ cations should be a little too small to fit tightly in the cube center position).
Transcribed Image Text:This quarter we learned that certain aspects of the crystal structure of ionic compounds can be predicted simply by looking at the relative sizes of the anions and cations. For example, the NaCl structure may be described as a close-packed FCC array of Cl- anions with Na+ cations residing at all octahedral sites; i.e., 6-fold coordination. CsCl on the other hand, with Cs+ cations being larger than Na+ cations, is described as a simple cubic array of Cl− anions with Cs+ cations at the cube center; i.e., cuboidal or 8-fold coordination. Given that the density of NaCl is 2.16 g/cm³, determine what its density would be if it had the CsCl structure. Assume that the Cl- anion size is determined by contact along the face diagonal of the NaCl unit cell (rather than a combination of Cl- and Na+ ions along the cube edges), and that Cl- anions are in contact along the cube edges of the CsCl cell (theoretically, the Na+ cations should be a little too small to fit tightly in the cube center position).
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