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12.3 Show that the minimum cation-to-anion radius ratio for a coordination number of 6 is 0.414. (Hint: Use the NaCl crystal structure in Figure 12.2, and assume that anions and cations are just touching along cube edges and across face diagonals.)

12.3 Show that the minimum cation-to-anion radius ratio for a coordination number of 6 is 0.414. (Hint: Use the NaCl crystal structure in Figure 12.2, and assume that anions and cations are just touching along cube edges and across face diagonals.)

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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12.3 Show that the minimum cation-to-anion radius ratio for a coordination number of 6 is 0.414. (Hint: Use the NaCl crystal structure in Figure 12.2, and assume that anions and cations are just touching along cube edges and across face diagonals.)
Transcribed Image Text:12.3 Show that the minimum cation-to-anion radius ratio for a coordination number of 6 is 0.414. (Hint: Use the NaCl crystal structure in Figure 12.2, and assume that anions and cations are just touching along cube edges and across face diagonals.)
Figure 12.22 The aluminum oxide-chromium Composition (mol% Cr203) 20 40 60 80 100 2300 oxide phase diagram. (Adapted from E. N. Bunting, "Phase Equilibria in the System Cr,O3-Al,O3," Bur. Standards J. Research, 6, 1931, p. 948.) 2275 + 25°C Liquid 4000 2200 Liquid + Solid Solution 2100 3800 2045 + 5°C 2000 Al203–Cr203 Solid Solution 3600 20 40 60 80 100 (Al203) (Cr203) Composition (wt% Cr2O3) Temperature (°C) Temperature (°F)
Transcribed Image Text:Figure 12.22 The aluminum oxide-chromium Composition (mol% Cr203) 20 40 60 80 100 2300 oxide phase diagram. (Adapted from E. N. Bunting, "Phase Equilibria in the System Cr,O3-Al,O3," Bur. Standards J. Research, 6, 1931, p. 948.) 2275 + 25°C Liquid 4000 2200 Liquid + Solid Solution 2100 3800 2045 + 5°C 2000 Al203–Cr203 Solid Solution 3600 20 40 60 80 100 (Al203) (Cr203) Composition (wt% Cr2O3) Temperature (°C) Temperature (°F)
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