5. In a close-packed array containing N spheres, there are N octahedral holes and 2N tetrahedral holes. Use this information to answer the following: a) The structure of solid Al203 consists of an hcp array of oxide ions with the Al3+ ions in octahedral holes. What fraction of the octahedral holes contains Al3+ ions? b) The mineral spinel has the formula MgAl2O4. The structure is based on a ccp array of oxide ions with the Mg²+ ions in tetrahedral holes and the Al3+ ions in octahedral holes. What fraction of each type of hole is occupied by the respective ion?

5. In a close-packed array containing N spheres, there are N octahedral holes and 2N tetrahedral holes. Use this information to answer the following: a) The structure of solid Al203 consists of an hcp array of oxide ions with the Al3+ ions in octahedral holes. What fraction of the octahedral holes contains Al3+ ions? b) The mineral spinel has the formula MgAl2O4. The structure is based on a ccp array of oxide ions with the Mg²+ ions in tetrahedral holes and the Al3+ ions in octahedral holes. What fraction of each type of hole is occupied by the respective ion?

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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