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Molecular Orbitals An approach to bonding in which orbitals encompass the entire molecule, rather than being localized between atoms. Muhammad Asif Pakistan
Molecular Orbitals ,[object Object],[object Object],Muhammad Asif Pakistan
Molecular Orbitals ,[object Object],[object Object],Muhammad Asif Pakistan
Need for MO Theory ,[object Object],[object Object],Muhammad Asif Pakistan
Need for MO Theory ,[object Object],[object Object],: : : : Muhammad Asif Pakistan
Need for MO Theory ,[object Object],[object Object],Muhammad Asif Pakistan
Molecular Orbital Theory ,[object Object],[object Object],Muhammad Asif Pakistan
Molecular Orbital Theory ,[object Object],[object Object],[object Object],[object Object],Muhammad Asif Pakistan
Molecular Orbital Theory ,[object Object],Muhammad Asif Pakistan
Molecular Orbital Theory ,[object Object],Muhammad Asif Pakistan
Molecular Orbital Theory ,[object Object],Muhammad Asif Pakistan
Molecular Orbital Theory ,[object Object],+ + - The signs on the molecular orbitals indicate the sign of the wave function, not ionic charge. Muhammad Asif Pakistan
Molecular Orbital Theory ,[object Object],+ + - The signs on the molecular orbitals indicate the sign of the wave function, not ionic charge. Muhammad Asif Pakistan
Rules for Combining Atomic Orbitals ,[object Object],[object Object],Muhammad Asif Pakistan
Experimental Evidence ,[object Object],[object Object],Muhammad Asif Pakistan
Experimental Evidence ,[object Object],Muhammad Asif Pakistan
Experimental Evidence ,[object Object],[object Object],Muhammad Asif Pakistan
Period 2 Diatomic Molecules ,[object Object],[object Object],Muhammad Asif Pakistan
MOs using  p  orbitals ,[object Object],+ + + - - - - Muhammad Asif Pakistan
MOs using  p  orbitals ,[object Object],+ + + - - - - Muhammad Asif Pakistan
MOs using  p  orbitals ,[object Object],+ + + - - - - Muhammad Asif Pakistan
MOs using  p  orbitals ,[object Object],+ + + - - - - σ g Muhammad Asif Pakistan
MOs using  p  orbitals ,[object Object],+ + + - - - - σ g σ u Muhammad Asif Pakistan
π  Molecular Orbitals ,[object Object],side-by-side overlap + + + - - - Muhammad Asif Pakistan
π  Molecular Orbitals ,[object Object],side-by-side overlap + + + - - - Muhammad Asif Pakistan
π  Molecular Orbitals ,[object Object],side-by-side overlap + + + - - - π u Muhammad Asif Pakistan
π  Molecular Orbitals ,[object Object],side-by-side overlap + + + - - - π u π g Muhammad Asif Pakistan
Molecular Orbital Diagram ,[object Object],2p 2p σ g π u π g σ u Muhammad Asif Pakistan
Molecular Orbital Diagram ,[object Object],2p 2p σ g π u π g σ u Muhammad Asif Pakistan
Molecular Orbital Diagrams ,[object Object],[object Object],[object Object],[object Object],Muhammad Asif Pakistan
Molecular Orbital Diagrams ,[object Object],Muhammad Asif Pakistan
Molecular Orbital Diagrams ,[object Object],Muhammad Asif Pakistan
Molecular Orbital Diagrams ,[object Object],Muhammad Asif Pakistan
Molecular Orbital Diagrams ,[object Object],2p 2p 2s 2s Muhammad Asif Pakistan
MO Diagram for O 2 2p 2p 2s 2s σ g σ * u σ g π u π * g σ * u The molecular orbital diagram for oxygen shows two unpaired electrons, consistent with experimental data. Muhammad Asif Pakistan
Bond Order ,[object Object],[object Object],[object Object],[object Object],Muhammad Asif Pakistan
MO Diagram for O 2 2p 2p 2s 2s σ g σ * u σ g π u π * g σ * u The bond order of O 2  is: 8-4  = 2   2 This is consistent with a double bond. Muhammad Asif Pakistan
MO Diagram for O 2 2p 2p 2s 2s σ g σ * u σ g π u π * g σ * u This energy level diagram works well for atoms in which the 2s and 2p levels are fairly far apart.  These are the elements at the right of the table: O, F and Ne. Muhammad Asif Pakistan
Experimental Evidence ,[object Object],Muhammad Asif Pakistan
Photoelectron Spectroscopy ,[object Object],Muhammad Asif Pakistan
Muhammad Asif Pakistan
MO diagram for Li through N ,[object Object],Muhammad Asif Pakistan
MO diagram for Li through N ,[object Object],Muhammad Asif Pakistan
MO diagram for Li through N ,[object Object],[object Object],Muhammad Asif Pakistan
MO diagram for Li through N σ g σ g σ * u σ * u π u π * g Muhammad Asif Pakistan
MO diagram for N 2 N 2  has 10 valence electrons. Muhammad Asif Pakistan σ g σ g σ * u σ * u π u π * g
Experimental Evidence ,[object Object],[object Object],σ g π u σ * u Muhammad Asif Pakistan
Experimental Evidence Muhammad Asif Pakistan σ g π u σ * u σ g σ g σ * u σ * u π u π * g
Heteronuclear Diatomic  Molecules ,[object Object],[object Object],Muhammad Asif Pakistan
Rules for Combining Atomic Orbitals ,[object Object],[object Object],[object Object],Muhammad Asif Pakistan
HF ,[object Object],[object Object],Muhammad Asif Pakistan
HF ,[object Object],[object Object],Muhammad Asif Pakistan
Carbon monoxide ,[object Object],Muhammad Asif Pakistan
Carbon monoxide ,[object Object],Muhammad Asif Pakistan
Carbon monoxide ,[object Object],Muhammad Asif Pakistan
Carbon monoxide ,[object Object],Muhammad Asif Pakistan
The highest occupied molecular orbital of CO is a molecular orbital which puts significant electron density on the carbon atom. Muhammad Asif Pakistan
The lowest unoccupied molecular orbital of CO is the  π * orbitals. The lobes of the LUMO are larger on the carbon atom than on the oxygen atom. Muhammad Asif Pakistan
CO as a Ligand ,[object Object],Muhammad Asif Pakistan
CO as a Ligand ,[object Object],Muhammad Asif Pakistan
CO as a Ligand ,[object Object],Muhammad Asif Pakistan
MOs for Larger Molecules ,[object Object],Muhammad Asif Pakistan
MOs for Larger Molecules ,[object Object],Muhammad Asif Pakistan
[object Object],Muhammad Asif Pakistan
Group Orbitals of Water ,[object Object],Muhammad Asif Pakistan
Group Orbitals of Water ,[object Object],[object Object],Muhammad Asif Pakistan
Group Orbitals of Water ,[object Object],Muhammad Asif Pakistan
Group Orbitals of Water The  2s  and  2p z  orbital on oxygen have A 1  symmetry, the  2p x   orbital has B 1  symmetry, and the  2p y   has B 2  symmetry. Muhammad Asif Pakistan
Molecular Orbitals of Water ,[object Object],Muhammad Asif Pakistan
Muhammad Asif Pakistan
MOs for Larger Molecules ,[object Object],Muhammad Asif Pakistan
π  Bonding of Benzene ,[object Object],We need only consider those orbitals on carbon atoms that remain in place for a given symmetry operation. Muhammad Asif Pakistan
π  Bonding of Benzene { z axis C′ 2 C″ 2 Muhammad Asif Pakistan D 6h E 2C 6 2C 3 C 2 3C′ 2 3C″ 2 i 2S 3 2S 6 σ h 3  σ d 3  σ v Г π
π  Bonding of Benzene { z axis C′ 2 C″ 2 Muhammad Asif Pakistan D 6h E 2C 6 2C 3 C 2 3C′ 2 3C″ 2 i 2S 3 2S 6 σ h 3  σ d 3  σ v Г π 6 0 0 0 -2 0 0 0 0 -6 0 2
π  Bonding of Benzene { z axis C′ 2 C″ 2 This reduces to:  B 2g  + E 1g  + A 2u  + E 2u Muhammad Asif Pakistan D 6h E 2C 6 2C 3 C 2 3C′ 2 3C″ 2 i 2S 3 2S 6 σ h 3  σ d 3  σ v Г π 6 0 0 0 -2 0 0 0 0 -6 0 2
π  Bonding of Benzene ,[object Object],[object Object],Muhammad Asif Pakistan
π  Bonding of Benzene ,[object Object],A 2u  fully bonding and lowest in energy E 1g  degenerate bonding orbitals with one node Muhammad Asif Pakistan
π  Bonding of Benzene ,[object Object],E 2u  degenerate largely anti-bonding orbitals with two nodes B 2g  fully anti-bonding orbital with three nodes Muhammad Asif Pakistan
π  Bonding of Benzene Muhammad Asif Pakistan A 2u E 1g E 2u B 2g
Molecular Orbitals of Complexes ,[object Object],Muhammad Asif Pakistan

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Molecular orbitals

  • 1. Molecular Orbitals An approach to bonding in which orbitals encompass the entire molecule, rather than being localized between atoms. Muhammad Asif Pakistan
  • 2.
  • 3.
  • 4.
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  • 6.
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  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35. MO Diagram for O 2 2p 2p 2s 2s σ g σ * u σ g π u π * g σ * u The molecular orbital diagram for oxygen shows two unpaired electrons, consistent with experimental data. Muhammad Asif Pakistan
  • 36.
  • 37. MO Diagram for O 2 2p 2p 2s 2s σ g σ * u σ g π u π * g σ * u The bond order of O 2 is: 8-4 = 2 2 This is consistent with a double bond. Muhammad Asif Pakistan
  • 38. MO Diagram for O 2 2p 2p 2s 2s σ g σ * u σ g π u π * g σ * u This energy level diagram works well for atoms in which the 2s and 2p levels are fairly far apart. These are the elements at the right of the table: O, F and Ne. Muhammad Asif Pakistan
  • 39.
  • 40.
  • 42.
  • 43.
  • 44.
  • 45. MO diagram for Li through N σ g σ g σ * u σ * u π u π * g Muhammad Asif Pakistan
  • 46. MO diagram for N 2 N 2 has 10 valence electrons. Muhammad Asif Pakistan σ g σ g σ * u σ * u π u π * g
  • 47.
  • 48. Experimental Evidence Muhammad Asif Pakistan σ g π u σ * u σ g σ g σ * u σ * u π u π * g
  • 49.
  • 50.
  • 51.
  • 52.
  • 53.
  • 54.
  • 55.
  • 56.
  • 57. The highest occupied molecular orbital of CO is a molecular orbital which puts significant electron density on the carbon atom. Muhammad Asif Pakistan
  • 58. The lowest unoccupied molecular orbital of CO is the π * orbitals. The lobes of the LUMO are larger on the carbon atom than on the oxygen atom. Muhammad Asif Pakistan
  • 59.
  • 60.
  • 61.
  • 62.
  • 63.
  • 64.
  • 65.
  • 66.
  • 67.
  • 68. Group Orbitals of Water The 2s and 2p z orbital on oxygen have A 1 symmetry, the 2p x orbital has B 1 symmetry, and the 2p y has B 2 symmetry. Muhammad Asif Pakistan
  • 69.
  • 71.
  • 72.
  • 73. π Bonding of Benzene { z axis C′ 2 C″ 2 Muhammad Asif Pakistan D 6h E 2C 6 2C 3 C 2 3C′ 2 3C″ 2 i 2S 3 2S 6 σ h 3 σ d 3 σ v Г π
  • 74. π Bonding of Benzene { z axis C′ 2 C″ 2 Muhammad Asif Pakistan D 6h E 2C 6 2C 3 C 2 3C′ 2 3C″ 2 i 2S 3 2S 6 σ h 3 σ d 3 σ v Г π 6 0 0 0 -2 0 0 0 0 -6 0 2
  • 75. π Bonding of Benzene { z axis C′ 2 C″ 2 This reduces to: B 2g + E 1g + A 2u + E 2u Muhammad Asif Pakistan D 6h E 2C 6 2C 3 C 2 3C′ 2 3C″ 2 i 2S 3 2S 6 σ h 3 σ d 3 σ v Г π 6 0 0 0 -2 0 0 0 0 -6 0 2
  • 76.
  • 77.
  • 78.
  • 79. π Bonding of Benzene Muhammad Asif Pakistan A 2u E 1g E 2u B 2g
  • 80.