Bonding and Molecular Structure 1 Valence Bond Theory In covalent bonding, orbitals overlap Most primitive overlap between 2 sorbitals – sigma (σ) bond Electron density greatest along bond axis 2 VB Theory Tenants Orbitals overlap to form a bond between 2 atoms 2 electrons, of opposite spin, can be accommodated in the overlapping orbitals Higher probability of electrons being found in space influenced by both nuclei 3 What about more complex VB’ing? HF still forms sigma bond, but “skewed” – Why? – Which valence electrons of F are involved in sigma bond? (Hint: what’s F’s electron configuraiton?) s-orbital bonds with p-orbital of F to form sigma bond 4 What about VB’ing in orbitals above 1s? Orbital hybridization – Mixing of s-, p-, and d-orbitals within atom to form molecule Two rules: 1) # hybrid orbitals = # atomic orbitals mixed 2) hybrid orbitals more directed from central atom toward terminal atoms than unhybridized atomic orbitals better orbital overlap & stronger bond between central & terminal atoms Mixed hybridized orbitals yield electronpair geometry (VSEPR) 5 Hybridized Orbitals 2 electron pairs – s-orbital and 1 p-orbital mix sp (linear) 3 electron pairs – s-orbital and 2 p-orbitals mix sp2 (trigonal planar) 4 electron pairs – s-orbital and 3 p-orbitals mix sp3 (tetrahedral) 5 electron pairs – s-orbital, 3 p-orbitals, and 1 d-orbital mix sp3d (trigonal bipyramidal) 6 electron pairs – s-orbital, 3 p-orbitals, and 2 d-orbitals mix sp3d2 (octahedral) 6 Hybridized Orbitals: sp3 7 What about electron geometries? For instance, NH3, H2O? Lone pairs fill hybridized orbitals – So, NH3 = sp3 – And, H2O = sp3 8 Practice Give the hybridization of and energy diagram for – BeCl2 – BBr3 9 Double bonds 1 unhybridized p-orbital (on each atom) allows for overlap Electron densities above and below sigma bonds (but not on axis like sigma bonds) – pi-bond Can only exist if all atoms lie on same plane – Ethylene 10 Ethene 11 Triple bonds 2 unhybridized p-orbitals (on each atom) allow for overlap 2 pi-bonds formed – Perpendicular to one another 12 Ethyne 13 Recapitulate Double bond consists of sigma- and pi-bonds Triple bond consists of sigma- and 2 pi-bonds Pi-bond if unhybridized p-orbitals remain on bonding atoms Multiple bonds entail either sp or sp2 hybridization 14