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Coordination Number r A /R B (CN) As CN r A 1 = 0 ! " r A /R - PDF document

Jun 23, 2023 •8 likes •238 views

Coordination Number r A /R B (CN) As CN r A 1 = 0 ! " r A /R B R B 2 r A = 0 ! " R B 3 0.155 ! r A < " B B 4 0.225 ! r A < " B B 0.414 ! r A 6 < " B B 0.732 ! r A 8 < " B B 1 ! r A 12 <

  1. Coordination Number r A /R B (CN) As CN ↑ r A 1 = 0 ! " r A /R B ↑ R B 2 r A = 0 ! " R B 3 0.155 ! r A < " B B 4 0.225 ! r A < " B B 0.414 ! r A 6 < " B B 0.732 ! r A 8 < " B B 1 ! r A 12 < " B B 1 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 constraint of A around B Range of radius ratios 1:1 2:2 4:4 6:6 8:8 12:12 3:3 constraint of B around A Only for AB compounds 2 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 1

  2. Simple cubic Body centered cubic (BCC) 3 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 Face centered cubic (FCC) z y a x 4 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 2

  3. FCC stacking sequence • ABCABC... Stacking Sequence • 2D Projection B B B B C C C A A A B B B B B B B A sites C C C C C C B sites B sites B B B B C sites A • FCC Unit Cell B C 5 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 Hexagonal close packed (HCP) c a a 6 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 3

  4. origin x 120˚ 1st layer 120˚ y 2nd layer a a b 7 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 HCP stacking sequence 8 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 4

  5. Comparison between the two close packed structures: FCC and HCP 9 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 Diamond structure + 10 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 5

  6. Interstitial sites 11 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 12 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 6

  7. 13 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 14 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 7

  8. c a a 15 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 16 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 8

  9. 17 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 18 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 9

  10. 19 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 Crystallographic planes 20 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 10

  11. 21 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 22 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 11

  12. 23 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 Cl Na 24 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 12

  13. 25 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 Zn 2+ O 2- 26 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 13

  14. Ca 2+ F - 27 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 28 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 14

  15. 29 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 30 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 15

  16. 31 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 32 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 16

  17. 33 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 34 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 17

  18. 35 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 36 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 18

  19. 37 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 38 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 19

  20. 39 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 40 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 20

  21. 41 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 42 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 21

  22. 43 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 44 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 22

  23. 45 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 46 MATS 227 / MAE 251 / CHEM 222 Winter 2011, Lecture Slides 3 23

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