3.5. Look up the radii of Ti4+, Ba+, and O- listed in App. 3A, and making...
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3.5. Look up the radii of Ti4+, Ba+, and O- listed in App. 3A, and making use of Pauling's size criteria, choose the most suitable cage for each cation. Based on your results, choose the appropriate composite crystal structure and draw the unit cell of BaTiO3. How many atoms of each element are there in each unit cell? Table 3A.1 Effective ionic radii of the elements Ion Coordi- pm nation no. Ac- Ag+ Ag+ Ag+ Ag 4 SQ 6 A1+ 4 Am 4 2 4 4 SQ 5 6 7 8 4 SQ 2+ 5 6 7 8 Ion At7+ Au Au+ Coordi- nation no. 126.0 81.0 114.0 116.0 123.0 129.0 136.0 142.0 93.0 108.0 81.0 89.0 53.0 62.0 67.5 12 135.0 Be+ 3 140.0 4 7 6 4 SQ 6 Ba+ Aus+ 6 B+ 3 4 6 6 7 8 9 10 pm Ion 76.0 Br 151.0 Br 82.0 Br+ 99.0 Br 71.0 15.0 25.0 41.0 149.0 152.0 156.0 161.0 166.0 171.0 175.0 30.0 41.0 C4+ Ca+ Cd- Coordi- nation no. 6 4 SQ 3 PY] 4 4 6 7 8 9 10 22456 12 pm 182.0 73.0 45.0 39.0 53.0 6.0 29.0 30.0 114.0 120.0 126.0 132.0 137.0 148.0 92.0 101.0 109.0 3.5. Look up the radii of Ti4+, Ba+, and O- listed in App. 3A, and making use of Pauling's size criteria, choose the most suitable cage for each cation. Based on your results, choose the appropriate composite crystal structure and draw the unit cell of BaTiO3. How many atoms of each element are there in each unit cell? Table 3A.1 Effective ionic radii of the elements Ion Coordi- pm nation no. Ac- Ag+ Ag+ Ag+ Ag 4 SQ 6 A1+ 4 Am 4 2 4 4 SQ 5 6 7 8 4 SQ 2+ 5 6 7 8 Ion At7+ Au Au+ Coordi- nation no. 126.0 81.0 114.0 116.0 123.0 129.0 136.0 142.0 93.0 108.0 81.0 89.0 53.0 62.0 67.5 12 135.0 Be+ 3 140.0 4 7 6 4 SQ 6 Ba+ Aus+ 6 B+ 3 4 6 6 7 8 9 10 pm Ion 76.0 Br 151.0 Br 82.0 Br+ 99.0 Br 71.0 15.0 25.0 41.0 149.0 152.0 156.0 161.0 166.0 171.0 175.0 30.0 41.0 C4+ Ca+ Cd- Coordi- nation no. 6 4 SQ 3 PY] 4 4 6 7 8 9 10 22456 12 pm 182.0 73.0 45.0 39.0 53.0 6.0 29.0 30.0 114.0 120.0 126.0 132.0 137.0 148.0 92.0 101.0 109.0
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Engineering Economy
ISBN: 978-0132554909
15th edition
Authors: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
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