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Chapter 2 Bonding in Solids

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Title: Unit cell Author: THChang Last modified by: THChang Created Date: 9/7/2000 7:04:47 AM Document presentation format: Company – PowerPoint PPT presentation

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Title: Chapter 2 Bonding in Solids


1
Chapter 2Bonding in Solids
2
Types of bonding in solids
  • Ionic bonding
  • Covalent bonding
  • van der Waals bonding
  • Metallic bonding

3
Ions and ionic radii
4
Assignment of radii to ions is difficult
5
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6
The radius ratio rule(2rx)2 (2rx)2
2(rMrx)22rx?2 2 (rMrx) rM/rx 0.414
7
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9
Lattice energy of ionic crystals
10
  • Attractive energy
  • Repulsive energy
  • A Madelung constant

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12
Therefore,
when
then
and therefore
13
Kapustinskiis equation
14
The Born-Haber cycle
  • Na(g) Cl-(g)? NaCl(s) , ?H U
  • Na (s) 1/2 Cl 2(g)? NaCl(s) , ?H ?Hf
  • Sublimation of solid Na ?H
    S
  • Ionization of gaseous Na atoms ?H IP
  • Dissociation of Cl2 molecules ?H
    1/2 D
  • Formation of Cl- ion
    ?H EA
  • Coalescence of gaseous ions to give crystalline
  • NaCl
    ?H U

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16
Stabilities of real and hypothetical ionic
compounds
17
Some examples
18
d orbitals
19
Octahedral complex and crystal field
20
Tetrahedral and square planar
21
Orientation of d orbitals in a tetrahedral field
22
Crystal field splitting of energy level
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27
Jahn-Teller distortions
28
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29
Metallic bonding and band theory
30
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31
Free electron theory (Sommerfeld)
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35
Band structure of metals
36
Overlapping band structure of Be
37
Band structure of insulators
38
Two types of conduction mechanism in
semiconductors
  • Negative charge carriers (conduction band)
  • Positive holes (valence band)

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40
Band structure of inorganic solids
41
Transition metal compounds
42
Fullerenes and graphite
43
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