Chapter 9 Molecular Geometries and Bonding Theories Multiple Bonds Formation of two π bonds in acetylene Fig 9.26 Describing σ and π bonds in a molecule formaldehyde σ σ σ π Fig 9.27 Formation of σ and π bonds in formaldehyde, CH2O Sigma (s) and Pi Bonds (p) 1 sigma bond Single bond Double bond 1 sigma bond and 1 pi bond Triple bond 1 sigma bond and 2 pi bonds How many s and p bonds are in the acetic acid (vinegar) molecule CH3COOH? H C H O H C O H s bonds = 6 + 1 = 7 p bonds = 1 Molecular Orbital (MO) Theory In MO theory, we invoke the wave nature of electrons • If waves interact constructively, the resulting orbital is lower in energy: a bonding molecular orbital. • If waves interact destructively, the resulting orbital is higher in energy: an antibonding molecular orbital. MO Theory In H2 the two electrons go into the bonding molecular orbital. The bond order is one half the difference between the number of bonding and antibonding electrons: Bond order = ½ (no. of bonding e− – no. of antibonding e−) Here: ½ (2-0) = 1 MO Theory In the case of He2, the bond order would be: Here: ½ (2-2) = 0 • Therefore, MO theory predicts that He2 does not exist, which we know to be true. Fig 9.35 MO Theory He2+ • In the case of He2+, the bond order would be: ½ (2-1) = 1/2 • Therefore, MO theory predicts that He2+ does exist and it will be relatively stable MO Theory – Second-Row Diatomics Consider only homonuclear diatomic molecules • Number of MOs = number of AOs combined • AOs combine most effectively with other AOs of similar energy • The greater the overlap of AOs, the lower the energy of MO • Each MO can hold max of 2 electrons (Pauli exclusion) • Hund’s rule applies (same spin in degenerate orbitals) MOs for Li2 and Be2 Fig 9.37 Energy-level diagram for the Li2 molecule MOs from 2p Atomic Orbitals Fig 9.38 For atoms with both s and p orbitals, there are two types of interactions: The p orbitals that are head to head overlap in s fashion. The other two sets of p orbitals overlap in p fashion. MO Theory – Second-Row Diatomics Fig 9.43 • There are both s and p bonding molecular orbitals and s* and p* antibonding molecular orbitals • Diagram fits only O2 and F2 MO Theory • The smaller p-block elements in the second period have a sizeable interaction between the s and p orbitals: Fig 9.44 • This flips the order of the s and p molecular orbitals in O2 and F2 Fig 9.45 Fig 9.48 Paramagentism of O2 Fig 9.48 Paramagentism of O2 Figure 09.48
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