CHEMISTRv
100         CHEMISTRY            FOR DEGREE
                                            STUDENTS                       SEMESTER-I               (INORGANIC
                                                                                                                                   RY
                                                                                        g-bond.
                                     n-bond is      a   weaker bond than            a
          net result   is that   a
    The
                                                                  to which of these           pairs   of A0's result in     positive
                Show      by     LCAO method                 as
    Example.
overlap
                                                   stP
                                                PtP:
                                                Pt P
    2-axis may be assumed            as a   molecular axis.
    Solution: s +p, andp, +p, will result in positive overlap.
3.3.6     Variation of electronic                       charge      with internuclear distance
                                                    functions yMg and                               determine the distribution of
    From the molecular orbital              wave                               y'Mo,       we can
electron charge in the molecule.
    Writing the wave functions ofmolecular orbitals in terms
                                                                                    ofthose   of ls atomic orbitals oftwo atoms a
and b
                                                   Mo Vi +Vls,
                                                   MO1sa1sh
    Taking squares of both sides of the above equations
                                                   VMo=[Vi tVí, +21»a Vish
                                                V=[v ISa +
                                                        MO                    TSh   21 Vis,
    It is observed that the bonding MO functions shows an increase in the electron charge density
in the overlap region by an amount 21s, Vsb over that of the individual atoms as described by the
functions vand
           ISa             sp
     This is represented graphically in Fig. 3.40. The dotted lines represent the charge densities of
individual atoms and heavy lines represent the electron density for bonding MO.
                                                              MO
                                                                  Internuclear
                                                                   distance
                             Fig. 3.40. Graph of electron density vs. distance
                                                                               results.
     On the other hand     the antibonding MO functions
                                                              results in decrease in the
overlap region by an amount                                                                                 charge density    in
                                       i       Vi,. This is represented in Fig. 3,41.                 It is also clear that bonding
MO favours electron density as it is concentrated between
                                                            the nuclei, whereas the
tends to decrease the charge density between the nuclei and                                                      antibonding M
atoms.
                                                                                    concentrate it in regions    on   the individua