Symmetric molecular orbital

The trigonal bond orbitals in the ten valence electron system as well as the two sets of trigonal lone pair orbitals in the 14 valence electron system are superpositions of it orbitals and o orbitals. The formation of such trigonally symmetric molecular orbitals from a-type and w-type molecular orbitals is entirely analogous in character to the formation of the three (sp2) hybrid atomic orbitals from one (s) and two ip) atomic orbitals which was discussed in the preceding section. This can be visualized by looking at the diatomic molecule... 

The electronic structure of this compd detd by the method of anti symmetrical molecular orbitals (ASMO) has been reported by Paoloni (Ref 4)... 

The electronic properties of Ag4 as well as its ionized forms have been examined in detail by CNDO and EH, as shown in Table IV. Both procedures predict the linear form to be the stable neutral cluster, but as the cluster loses electrons the tetrahedral geometry becomes more stable. This is because the symmetric molecular orbitals are lower in energy for the tetrahedral than linear geometry and only these would be occupied as the cluster loses electrons. These effects are in accord with the electron spin resonance (ESR) experiments of Eachus and Symons (41) on the cationic forms of Ag4 clusters in frozen... 

Both i/>i and i/>3 are symmetric molecular orbitals they have a plane of symmetry, so one half is the mirror image of the other half. Both tf/2 and tf/4 are fully asymmetric, they do not have a plane of symmetry, but would have one if one half of the MO were turned upside down. Notice that as the MOs increase in energy, they alternate from being symmetric to asymmetric. 

Some molecular orbitals are symmetric and some are asymmetric (also called dissymetric), and they are easy to distinguish. If the p orbitals at the ends of the molecular orbital are in-phase (both have blue lobes on the top and green lobes on the bottom), the molecular orbital is symmetric. If the two end p orbitals are out-of-phase, the molecular orbital is asymmetric. In Figure 29.2, if/i and are symmetric molecular orbitals and 1/ 2 and 1/ 4 are asymmetric molecular orbitals. Notice that as the molecular orbitals increase in energy, they alternate in being symmetric and... 

Z is the number of H atoms in the ring. The symmetric atomic a-orbital from the atom o located in the center of the ring will only interact with the totally symmetric molecular orbital of the Z H atom ring ... 

Figure 4.26. Symmetric molecular orbital combination of fourfold coordinated Ti.

The coefficients for the properly symmetrized molecular orbital functions can be obtained by using the idempotent character operator The reducible... 

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