(c) The unit cell for Al;Os has hexagonal symmetry with lattice parameters a -0.4759 nm and c- 1.29 nm. If the density of this material is equal to 3.99 g/cm' and is calculated according to the formula n'(E Ac+ EA) VCNA Calculate the atomic packing factor for Al;O1, given that the ionic radius for Al is 0.053 nm and o' is 0.140 nm. Take N = 6.023 x 1023 atoms/mole.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Answer part c
Question Seven
(a) For refractory ceramic materials, cite two characteristics that improve with and two characteristics
that are adversely affected by increasing porosity.
(b) Show that the minimum cation-to-anion radius ratio for a coordination number of 4 is 0.225.
(Hint: Use the AX crystal structure, assuming the anion spheres touch in plane).
(c) The unit cell for Al>Os has hexagonal symmetry with lattice parameters a = 0.4759 nm and c 1.2
nm. If the density of this material is equal to 3.99 g/cm' and is calculated according to the formula
n'(E Ac+ EAA)
V.NA
Calculate the atomic packing factor for Al>O, given that the ionic radius for AI is 0.053 nm and i
0' is 0.140 nm. Take N, = 6.023 x 1023 atoms/mole.
(d) Mention any three industrial ceramics and indicate their applications.
Transcribed Image Text:Question Seven (a) For refractory ceramic materials, cite two characteristics that improve with and two characteristics that are adversely affected by increasing porosity. (b) Show that the minimum cation-to-anion radius ratio for a coordination number of 4 is 0.225. (Hint: Use the AX crystal structure, assuming the anion spheres touch in plane). (c) The unit cell for Al>Os has hexagonal symmetry with lattice parameters a = 0.4759 nm and c 1.2 nm. If the density of this material is equal to 3.99 g/cm' and is calculated according to the formula n'(E Ac+ EAA) V.NA Calculate the atomic packing factor for Al>O, given that the ionic radius for AI is 0.053 nm and i 0' is 0.140 nm. Take N, = 6.023 x 1023 atoms/mole. (d) Mention any three industrial ceramics and indicate their applications.
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