The bonding molecular orbitals are closer in energy to the atomic orbitals of the more electronegative B atom. Consequently, the electrons in the bonding orbitals are not shared equally between the two atoms. On average, they are closer to the B atom, resulting in a polar covalent bond.
Note the Pattern: A molecular orbital energy-level diagram is always skewed toward the more electronegative atom.
Nonbonding Molecular Orbitals
Molecular orbital theory is also able to explain the presence of lone pairs of electrons. Consider, for example, the HCl molecule, whose Lewis electron structure has three lone pairs of electrons on the chlorine atom. Using the molecular orbital approach to describe the bonding in HCl, we can see from Figure 7 "Molecular Orbital Energy-Level Diagram for HCl" that the 1sorbital of atomic hydrogen is closest in energy to the 3p orbitals of chlorine. Consequently, the filled Cl 3s atomic orbital is not involved in bonding to any appreciable extent, and the only important interactions are those between the H 1s and Cl 3p orbitals. Of the three p orbitals, only one, designated as 3pz, can interact with the H 1s orbital. The 3px and 3py atomic orbitals have no net overlap with the 1s orbital on hydrogen, so they are not involved in bonding. Because the energies of the Cl 3s, 3px, and 3py orbitals do not change when HCl forms, they are called nonbonding molecular orbitals. A nonbonding molecular orbital occupied by a pair of electrons is the molecular orbital equivalent of a lone pair of electrons. By definition, electrons in nonbonding orbitals have no effect on bond order, so they are not counted in the calculation of bond order. Thus the predicted bond order of HCl is (2 ? 0) ÷ 2 = 1. Because the ? bonding molecular orbital is closer in energy to the Cl 3pz than to the H 1s atomic orbital, the electrons in the ? orbital are concentrated closer to the chlorine atom than to hydrogen. A molecular orbital approach to bonding can therefore be used to describe the polarization of the H–Cl bond.
Figure 7 Molecular Orbital Energy-Level Diagram for HCl
For a description of the figure, click the figure.The hydrogen 1s atomic orbital interacts most strongly with the 3pz orbital on chlorine, producing a bonding/antibonding pair of molecular orbitals. The other electrons on Cl are best viewed as nonbonding. As a result, only the bonding ? orbital is occupied by electrons, giving a bond order of 1.
Example 5.
Calculate the total number of valence electrons in CN?. Then place these electrons in a molecular orbital energy-level diagram like Figure 6 in order of increasing energy. Be sure to obey the Pauli principle and Hund’s rule while doing so.
Worked Problem