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Molecular Orbital Theory

Further study: an original comparison of bonding models; molecular-orbital theory does not become a required geometry lesson.
Before this connection: Lewis diagrams, molecular geometry and sigma/pi bonding.

Beyond AP Physics 1

Original enrichment beyond the AP requirements; relevant foundational ideas are linked separately.

Chemistry I · original Chapter 5 · combined Chapter 5

Section Breakdown

  1. Picturing Orbital Hybridization
  2. Comparing VSEPR to MO theory

Section 4

Molecular Orbital Theory

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3-D 5.4.1 Molecular Orbital representation of CH4

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Original preview and model 3-D 5.4.1 Molecular Orbital representation of CH4

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In the last chapter, we discussed the VSEPR model of determining the structure of a molecule. Now that you know about orbitals, we can compare this to the Molecular Orbital Theory. This theory relies on the assumption that instead of the valence electrons being shared between the bonded atoms, instead all of the electrons are moving anywhere within the molecule, not just limited to between the two atoms. This allows each atom’s nucleus to influence the path of the electron.

The prediction of the path as a function of the nuclei in the molecule is actually done by the combining of the orbitals of all involved molecules.

Let’s look at how the MO theory would represent Methane:

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3-D 5.4.2 Ethenol as shown by the MO model

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Original preview and model 3-D 5.4.2 Ethenol as shown by the MO model

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3-D 5.4.3 Partial Structure of Ethenol

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Original preview and model 3-D 5.4.3 Partial Structure of Ethenol

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Notice that the spherical s orbitals of Hydrogen simply fall into the sp3 orbitals of Carbon. This results in a tetrahedral shape developing for the molecule as a whole.

Here is the MO representation of Ethenol, CH2CHOH, which shows sp2 hybridization on the C atoms, and sp3 hybridization on the O atom:

Now let’s compare that to the VSEPR model.

To do the VSEPR model, you need to pick a central atom. We first pick Carbon. Using the AXE method, we find that Carbon has an AXE number of AX3E0. This gives us a trigonal planar structure. We’ll start by showing what we have so far:

Now, we still have to add the atoms to that end Carbon.

Setting Carbon as the central atom, we see that it is connected to the Hydrogen, Oxygen, and the first Carbon, giving it an AXE number of AX3E0, another trigonal planar set-up.

Let’s go ahead and add that.

Now we add the final hydrogen, and get the final structure, which looks not unlike the MO theory predicted. The final structure is:

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3-D 5.4.5 Final Structure of Ethenol

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Original preview and model 3-D 5.4.5 Final Structure of Ethenol

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As you see, in terms of using one or the other to predict structure, it doesn’t matter which model you use, as you’ll have the same structure in either case.

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3-D 5.4.4 Partial Structure of Ethenol

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Instead, you will need to know that the MO theory tends to have much more delocalized bonding, as the electrons aren’t confined to staying between the two atoms.

The advantages of Molecular Orbital theory are best seen in larger molecules, so that goes beyond the scope of this textbook.

Glossary and deeper reading · 6 refreshers

These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.

  • Orbital hybridization

    Hybridization is a localized bonding model that combines atomic-orbital descriptions on an atom. It can help describe bond directions but is not a statement that isolated atomic orbitals physically mix as a timed step. For example, an sp³ model describes four tetrahedrally directed orbitals around carbon in methane.

    Read more: VSEPR and Hybridization →

  • VSEPR

    VSEPR is a model for predicting molecular geometry from electron domains around a central atom. Bonding domains and lone pairs arrange to reduce repulsion, and a multiple bond counts as one domain for the basic geometry classification. For example, water has four electron domains around oxygen but a bent molecular shape.

    Read more: VSEPR and Hybridization →

  • Molecular orbital

    A molecular orbital is an electronic state described over a molecule rather than assigned exclusively to a single atom. Molecular-orbital models can describe bonding, antibonding, and nonbonding electron arrangements. For example, occupying a bonding orbital between two atoms can contribute to holding those atoms together.

  • Atomic orbital

    An atomic orbital is a quantum state used to describe an electron in an atom. Its spatial description gives a probability distribution rather than a definite path around the nucleus. For example, an s orbital has a spherical spatial probability distribution, and one orbital can accommodate at most two electrons with opposite spins.

    Read more: Atomic Structure and Electron Configuration →

  • Valence electron

    Valence electrons are the electrons most directly involved in an atom's bonding and chemical behavior. For main-group atoms, they occupy the highest occupied principal shell. For example, neutral chlorine has seven valence electrons, helping explain its tendency to form a chloride ion.

    Read more: Valence Electrons and Ionic Compounds →

  • Electron delocalization

    Electron delocalization means that an electronic description extends across multiple atoms rather than being confined to one localized bond or atom. It can affect bond equivalence and charge distribution. For example, nitrate's bonding electrons are described across several nitrogen–oxygen positions.

    Read more: Resonance and Formal Charge →

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