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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 <

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

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 <

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