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Orbital hybridization explains how atomic orbitals mix to form new orbitals used in bonding. This cheat sheet helps students connect electron domains, molecular shape, bond angles, and examples. It is especially useful when predicting structures from Lewis diagrams and VSEPR theory.

A clear reference makes it easier to move from a drawing to a three-dimensional molecule.

Key Facts

  • A steric number of 22 gives spsp hybridization, a linear electron geometry, and a bond angle of 180180^\circ.
  • A steric number of 33 gives sp2sp^2 hybridization, a trigonal planar electron geometry, and ideal bond angles of 120120^\circ.
  • A steric number of 44 gives sp3sp^3 hybridization, a tetrahedral electron geometry, and an ideal bond angle of 109.5109.5^\circ.
  • A steric number of 55 gives sp3dsp^3d hybridization and a trigonal bipyramidal electron geometry with angles of 9090^\circ, 120120^\circ, and 180180^\circ.
  • A steric number of 66 gives sp3d2sp^3d^2 hybridization, an octahedral electron geometry, and bond angles of 9090^\circ and 180180^\circ.
  • The steric number is calculated as steric number=number of sigma bonds+number of lone pairs\text{steric number} = \text{number of sigma bonds} + \text{number of lone pairs} on the central atom.
  • A single bond contains 11 sigma bond, a double bond contains 11 sigma bond and 11 pi bond, and a triple bond contains 11 sigma bond and 22 pi bonds.
  • Pi bonds form from unhybridized orbitals, so atoms involved in multiple bonds must keep at least one unhybridized pp orbital available.

Vocabulary

Hybridization
Hybridization is the mixing of atomic orbitals to form new orbitals with shapes and energies suited for bonding.
Steric number
Steric number is the total number of sigma bonds and lone pairs attached to a central atom.
Sigma bond
A sigma bond is a covalent bond formed by end-to-end orbital overlap along the line connecting two nuclei.
Pi bond
A pi bond is a covalent bond formed by side-by-side overlap of unhybridized orbitals above and below the bonding axis.
Electron geometry
Electron geometry describes the arrangement of all electron domains, including bonding pairs and lone pairs, around a central atom.
Molecular geometry
Molecular geometry describes the arrangement of atoms only, so lone pairs affect the shape but are not shown as atoms.

Common Mistakes to Avoid

  • Counting double or triple bonds as multiple electron domains, which is wrong because any single, double, or triple bond counts as 11 domain for steric number.
  • Ignoring lone pairs on the central atom, which gives the wrong hybridization because lone pairs are included in steric number=sigma bonds+lone pairs\text{steric number} = \text{sigma bonds} + \text{lone pairs}.
  • Using molecular geometry instead of electron geometry to choose hybridization, which can confuse shapes like trigonal pyramidal and tetrahedral that both come from sp3sp^3 electron geometry.
  • Forgetting that pi bonds use unhybridized orbitals, which is wrong because hybrid orbitals usually form sigma bonds while remaining pp orbitals form pi bonds.
  • Assuming all bond angles are ideal, which is wrong because lone pairs and multiple bonds can compress or expand angles from values such as 109.5109.5^\circ or 120120^\circ.

Practice Questions

  1. 1 A central atom has 22 sigma bonds and 00 lone pairs. Find its steric number, hybridization, electron geometry, and ideal bond angle.
  2. 2 In NH3\mathrm{NH_3}, nitrogen has 33 sigma bonds and 11 lone pair. What is the steric number and hybridization of nitrogen?
  3. 3 For carbon dioxide, CO2\mathrm{CO_2}, determine the hybridization of the central carbon and count the total number of sigma and pi bonds in the molecule.
  4. 4 Explain why the central atom in CH4\mathrm{CH_4} and the central atom in NH3\mathrm{NH_3} have the same hybridization but different molecular geometries.

Understanding Orbital Hybridization Reference

Start with a correct Lewis structure, because hybridization depends on the electron groups around one chosen atom. Count each bonded neighbor as one group, even when the bond is double or triple. A multiple bond has more shared electrons, but it occupies one direction in space.

Then count the lone pairs on that same atom. This process prevents a common mistake where students count every line in a double bond as a separate group.

Treat the central atom first. Outer atoms can have their own hybridization too, especially carbon, nitrogen, and oxygen in molecules with multiple bonds.

Electron geometry and molecular shape are related but not identical. Electron geometry includes lone pairs because lone pairs take up space. Molecular shape describes only the positions of atoms.

For example, a central atom with four electron groups can have several visible shapes depending on how many of those groups are lone pairs. Lone pairs repel more strongly than bonding pairs because their electron density stays closer to the central atom.

They push bonded atoms inward, so real bond angles are often smaller than the ideal values on a reference chart. Water and ammonia are important examples of this effect.

Hybridization becomes especially useful when explaining sigma and pi bonding. A sigma bond forms by direct overlap along the line between two nuclei. It is usually the first bond between two atoms.

Pi bonds form by sideways overlap of p orbitals that were not mixed into hybrid orbitals. This arrangement explains why double and triple bonds restrict rotation. Rotating one end would destroy the sideways overlap needed for a pi bond.

Single bonds usually rotate much more freely. This affects the shapes of molecules such as fats, plastics, proteins, and many medicines. A carbon carbon double bond can lock groups into different arrangements, which may give substances different properties.

Use hybridization as a model that helps organize bonding, not as a rule to apply without checking the structure. Resonance can spread pi electrons across several atoms, so no single Lewis structure tells the whole story. In carbonate ions, nitrate ions, and benzene, several bonds have partial double bond character.

The atoms involved are often planar because they need aligned p orbitals for electron sharing. Formal charge matters too.

A charged atom may have a different number of lone pairs or bonds than its neutral version, changing the predicted arrangement. When solving problems, draw the structure carefully, include charges and lone pairs, identify the electron groups, then check whether any unhybridized p orbitals are needed for multiple bonds or resonance.

The simple labels work best for many common main group molecules in school chemistry. They are less reliable for transition metals, where d orbitals, metal ligand interactions, and energy levels need more advanced models. Some modern chemistry courses describe bonding with molecular orbital theory rather than treating hybrid orbitals as literal objects.

That does not make the hybridization method useless. It remains a practical way to predict direction, shape, and likely reactivity. The key is to connect every label to a drawing of electron density in three dimensions, rather than memorizing a list of shapes.