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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.