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Physical chemistry     296



                                energy of the bonding orbitals between the two electronegative
                                elements, by the inclusion of an extra term resulting from the
                                hydrogen 1s orbital, in the linear combination of molecular
                                orbitals.
         Related topic          Strong solid phase interactions (H5)



                                Weak intermolecular forces

        The distinction between  weak and  strong binding energies is an arbitrary one,  but
                                    −1
        binding energies of >200 kJ mol , limited to covalent or ionic bonds,  are  generally
        regarded as strong. The forces between  molecules are regarded as weak with typical
                                         −1
        energies significantly less than 50 kJ mol .


                                    Dipolar interactions

        When a material consists of molecules with permanent electric dipoles (see Topic H5),
        the electrostatic force  between molecules changes their  potential energy. The energy,
        U(r), of the electrostatic interaction between two parallel dipoles with dipole moments µ 1
        and µ 2, a distance r apart, is given by:



        where θ is the angle between the dipole axes and the vector linking the centers of the two
        dipoles. This potential is a  maximum  if  θ=0°, when the positive pole of one dipole
        experiences only the negative pole of the second. The potential is zero if θ=90°, as both
        negative and positive poles of one dipole are experienced equally, and so cancel out, at
        the second dipole.
           In real systems, the strength of the interaction is usually less than, or comparable with,
        the thermal energy, and the dipoles are able to rotate in  three  dimensions.  At  low
        temperatures, the thermal energy is insufficient to overcome  some  alignment  of  the
        dipoles, whereas higher temperatures have the effect of averaging out the potentials of the
        surrounding dipoles. Under these conditions, the expression for the potential experienced
        by a dipole, at temperature T, alters to:






                                      Polarizability

        Regardless of whether or not a molecule or atom possesses a permanent dipole moment, a
        dipole  moment,  resulting  from  charge  separation, may be induced in the molecule
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