Lecture 11. Molecular Orbital Theory

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Transcript of Lecture 11. Molecular Orbital Theory

  • Take home quiz

    Consider the following ACln species:

    SCl2, OCl2, PCl3, SiCl4, SiCl62-

    1) Determine the EGG and MGG of each compound

    2) Arrange the compounds in decreasing Cl-A-Cl bond angles

    3) Are all the molecules polar? Give the list of all the polar compounds from the given

    4) Identify the orbitals involved in the bond A-Cl

  • Answers

    EGG: Tetrahedral MGG: Bent

    SCl2

    Angle Cl-S-Cl: < 109.5

    Polar OCl2

    EGG: Tetrahedral MGG: Bent

    Angle Cl-O-Cl: < 109.5

    Polar

    sp3-p

    sp3-p

  • Answers

    EGG: Tetrahedral MGG: Trigonal pyramidal

    PCl3

    Angle Cl-P-Cl: < 109.5

    Polar

    SiCl4 EGG: Tetrahedral MGG: Tetrahedral

    Angle Cl-Si-Cl: 109.5

    Nonpolar

    sp3-p

    sp3-p

  • Answers

    EGG: Octahedral MGG: Octahedral

    SiCl62-

    Angle Cl-Si-Cl: 180, 90

    Nonpolar

    2-

    sp3d2 -p

  • Answers

    2) Arrange the compounds in decreasing Cl-A-Cl bond angles

    Cl-Si-Cl > Cl-P-Cl > Cl-S-Cl = Cl-O-Cl

    SiCl4 > PCl3 > SCl2 = OCl2

  • Review

    1. What are the two types of covalent bonding?

    2. Explain how these two types of bond formed.

    3. What is the shape of SeF4-molecule?

    4. What are the orbital overlaps involved in the bonding of Se?

    F

    F F Se

    F

  • Review

    5. How many bonds are present in the molecule _____?

    6. What are the orbital overlaps involved in the bonding of _____?

  • MOLECULAR ORBITALS

    GENERAL CHEMISTRY

    LECTURE

    11

  • 1. Molecular Orbitals

    2. Molecular Orbital Energy Level Diagrams

    i. Homonuclear Diatomic Molecules

    ii. Heteronuclear Diatomic Molecules

    3. Bond Order and Bond Stability

    Scope

  • Molecular Orbital Theory

    Electron orbitals delocalized over the entire molecule

    Atomic orbitals on different atoms combined to form molecular orbitals (MOs).

    Waves that describe atomic orbitals have both positive and negative amplitudes.

    As MOs are formed the phases can interact constructively or destructively.

  • Molecular Orbitals

    There are two simple types of molecular orbitals that can be produced by the overlap of atomic orbitals.

    1. (sigma) orbitals: head-on overlap of atomic orbitals

    2. (pi) orbitals: side-on overlap of atomic orbitals

  • Molecular Orbitals: s orbital

    Two 1s atomic orbitals that overlap produce two molecular orbitals designated as:

    1. 1s or bonding molecular orbital

    2. *1s or antibonding molecular orbital.

  • Energetically, the molecular orbitals split.

    1. The 1s lies lower in energy.

    2. The *1s is higher in energy.

    Molecular Orbitals: s orbital

  • The head-on overlap of two corresponding p atomic orbitals on different atoms, say 2px with 2px produces:

    1. bonding orbital

    2. antibonding orbital x2p*

    x2p

    Molecular Orbitals: p orbital

  • Side overlap of two corresponding p atomic orbitals on different atoms (say 2py with 2py or 2pz with 2pz) produces:

    1. or (both are bonding orbitals)

    2. or (both are nonbonding orbitals) y2p

    z2p

    y2p*

    z2p*

    Molecular Orbitals: p orbital

  • How are the orbitals filled with electrons?

    Order of filling of MOs obeys same rules as for atomic orbitals:

    Aufbau principle

    Hunds Rule

    Molecular Orbitals

  • 1s 1s

    AO of H

    AO of H MO of H2

    1s

    *1s

    H2: 1s

    Molecular Orbital Energy Level Diagram

    2

    Molecular hydrogen, H2 H: 1s1

  • 1s

    AO of Li

    AO of Li MO of Li2

    1s

    *1s

    Li2: 2

    1s *2

    1s 2

    2s

    1s

    2s

    *2s

    2s 2s

    MO Diagram of Li2

    Li: 1s22s1

  • 1s

    AO of Be

    AO of Be MO of Be2

    1s

    *1s

    1s

    2s

    *2s

    2s 2s

    MO Diagram of Be2

    Be2: 2

    1s *2

    1s 2

    2s *2

    2s

    Be: 1s22s2

  • MO Diagram of O2

    1s

    AO of O

    AO Of O MO of O2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2: 2

    1s *2

    1s 2

    2s *2

    2s 2

    2p 22p

    22p *

    12p *

    12p

    O: 1s22s22p4

  • MO Diagram of O2-

    1s

    AO of O

    AO Of O MO of O2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2-: 21s *

    21s

    22s *

    22s

    22p

    22p 2

    2p *2

    2p *1

    2p

  • MO Diagram of O2+

    1s

    AO of O

    AO Of O MO of O2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2+: 21s *

    21s

    22s *

    22s

    22p

    22p 2

    2p *1

    2p

  • AO of O

    AO Of O MO of O2

    *2p

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    AO of O

    AO Of O MO of O2

    *2p

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2 O2-

  • AO of O

    AO Of O MO of O2

    *2p

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    AO of O

    AO Of O MO of O2

    *2p

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2 O2+

  • Exercise No.2

    Draw the MO diagram of N2, N2- and N2

    +.

  • MO Diagram of N2-

    1s

    AO of O

    AO Of O MO of O2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    N2-: 21s *

    21s

    22s *

    22s

    22p

    22p2

    2p *1

    2p

    N: 1s22s22p3

  • AO of O

    AO Of O MO of O2

    *2p

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2-

    AO Of N

    AO Of N MO of N2

    *2p

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    N2-

  • The stability of a bond is described by its bond order

    The larger the bond order, the more stable the molecule or ion is.

    The greater the bond order, the shorter the bond length and the greater the bond energy

    2

    orbitals gantibondinin e #orbitals bondingin e #=bo

    --

    Bond Order and Bond Stability

  • Magnetic Properties

    Diamagnetic

    Paramagnetic

    all electrons are paired

    presence of unpaired electron (s)

  • 1s 1s

    AO of H

    AO of H MO of H2

    1s

    *1s H2: 2

    1s

    Bond Order of H2

    Bo = (2-0) = 1

    Diamagnetic

  • 1s

    AO of Li

    AO of Li MO of Li2

    1s

    *1s

    Li2: 2

    1s *2

    1s 2

    2s

    1s

    2s

    *2s

    2s 2s

    Bond Order of Li2

    Bo = (4-2) = 1

    Diamagnetic

  • 1s

    AO of Be

    AO Of Be MO of Be2

    1s

    *1s

    Be2: 2

    1s *2

    1s 2

    2s *2

    2s

    1s

    2s

    *2s

    2s 2s

    Bond Order of Be2

    Bo = (4-4) = 0

    -Be is stable as an atom

    Diamagnetic

  • Bond Order of O2

    1s

    AO of O

    AO Of O MO of O2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2: 2

    1s *2

    1s 2

    2s *2

    2s 2

    2p 22p

    22p *

    12p *

    12p

    Bo = (10-6) = 2 Paramagnetic

  • Bond Order of O2-

    1s

    AO of O

    AO Of O MO of O2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2-: 21s *

    21s

    22s *

    22s

    22p

    22p 2

    2p *2

    2p *1

    2p

    Bo = (10-7) = 1.5 Paramagnetic

  • Bond Order of O2+

    1s

    AO of O

    AO Of O MO of O2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    O2+: 21s *

    21s

    22s *

    22s

    22p

    22p 2

    2p *1

    2p

    Bo = (10-5) = 2.5 Paramagnetic

  • Bond Order and Bond Stability

    Stability:

    O2 Bo =2

    O2- Bo =1.5

    O2+ Bo =2.5

    O2+ > O2 > O2

    -

    Bond Length: O2- > O2 > O2+

    Bond Energy: O2+ > O2 > O2-

  • Bond Order of N2-

    1s

    AO Of N

    AO Of N MO of N2

    1s

    *2p

    1s

    *1s

    2s

    2s

    2s

    *2s

    2p 2p

    2p

    *2p

    *2p

    2p 2p

    N2-: 21s *

    21s

    22s *

    22s

    22p

    22p2

    2p *1

    2p

    Bo = (10-5) = 2.5 Paramagnetic

  • Atomic orbitals of more electronegative element are lower in energy than the corresponding orbitals of less electronegative element

    The closer the energy of MO is to the energy of one of the AO the more of the character of that AO it shows

    Heteronuclear Diatomic Molecule

  • 1.Draw the MO diagram of F2 3 pts 2.Write the molecular orbital notation (electron configuration) of F2

    -, F2 and F2+. 6 pts

    3.Calculate the bond order of each species. 3 pts 4. Which is the most stable compound? 1 pt

    Quiz 12 (13/13) May 8, 2013