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H2
                         VALENCE BOND THEORY



        Key Notes
                                Valence bond theory focuses attention on formation of the
                                individual bonds in molecules. Bonds are generated from
                                combinations of the atomic orbitals from each of the bonding
                                atoms, and the bond is mathematically described as a function of
                                these atomic orbitals. Where the resulting bond has cylindrical
                                symmetry about the bond axis, it is termed a σ (sigma) bond.
                                Elements with accessible p orbitals may generate bonds by
                                sidelong overlap of the orbitals to give a π (pi) bond.
                                The valency of many elements is greater than that predicted from
                                the number of unpaired atomic electrons. Promotion—raising one
                                electron from a pair into a higher energy orbital—creates two
                                additional unpaired electrons in an atom, and so increases the
                                valency by two. The energy required for electron promotion is
                                offset by the energy recouped in forming two additional chemical
                                bonds.
                                The shapes of polyatomic molecules are poorly described by pure
                                atomic orbitals. Deviation of actual bond angles from the angles
                                between pure atomic orbitals is accounted for by hybridization.
                                Atomic orbitals are combined into hybrid orbitals, whose shape is
                                                                               3
                                defined by the geometry and proportion of the atomic orbitals. sp
                                                                2
                                hybrid orbitals are tetrahedrally arranged, sp  hybrid orbitals are
                                arranged in a trigonal planar fashion, and sp orbitals are linearly
                                arranged. More complex geometric configurations may be
                                obtained by hybridization involving d and f orbitals.
         Related topics         The wave nature of matter   Elementary valence theory (H1)
                                (G4)

                                The structure of the   Molecular orbital theory of
                                hydrogen atom (G5)   diatomic molecules I (H3)
                                Many-electron atoms (G6)



                          Valence bond theory of diatomic molecules

        Valence bond theory is a quantum-mechanical description of molecular bonding which
        focuses attention on formation of the bond itself. As for Lewis theory (see Topic H1),
        bonds are generated by pairing up electrons on one atom with electrons on a second atom,
        but the nature of the atomic orbitals themselves are also considered. Electrons are paired
        in the course of bond formation and the spin of the individual electrons must be taken
        into account. Spin pairing is a requirement that the electrons from one atom are paired
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