Hybridization Calculator

Determine orbital hybridization from molecular geometry and bonding

Hybridization Calculator

What is Hybridization?

Hybridization is the mixing of atomic orbitals to form new hybrid orbitals suitable for bonding. The type of hybridization depends on the steric number (bonding pairs + lone pairs).

Steric Number 2: sp (linear, 180°)

Steric Number 3: sp² (trigonal planar, 120°)

Steric Number 4: sp³ (tetrahedral, 109.5°)

Steric Number 5: sp³d (trigonal bipyramidal, 90°/120°/180°)

Steric Number 6: sp³d² (octahedral, 90°/180°)

Key: Lone pairs affect molecular geometry but not hybridization. For example, H₂O has sp³ hybridization (like CH₄) but bent geometry due to 2 lone pairs.

What is Hybridization?

Hybridization is the concept of mixing atomic orbitals into new hybrid orbitals suitable for the pairing of electrons in chemical bonding. This theory explains the bonding, molecular shapes, and properties of molecules.

When atoms bond, their atomic orbitals (s, p, d) mix to form hybrid orbitals that are identical in shape and energy. The number and type of hybrid orbitals formed depends on the number of electron groups around the central atom.

Key Concept:

The steric number (bonding pairs + lone pairs) determines the hybridization type. Steric number 2 = sp, 3 = sp², 4 = sp³, 5 = sp³d, 6 = sp³d².

Types of Hybridization

sp Hybridization

Orbitals Mixed: 1 s + 1 p = 2 sp orbitals

Steric Number: 2

Geometry: Linear

Bond Angle: 180°

Unused p Orbitals: 2 (available for π bonds)

Common Examples:

  • • CO₂ (carbon dioxide)
  • • BeCl₂ (beryllium chloride)
  • • HCN (hydrogen cyanide)
  • • C₂H₂ (acetylene) - carbon atoms

sp² Hybridization

Orbitals Mixed: 1 s + 2 p = 3 sp² orbitals

Steric Number: 3

Geometry: Trigonal Planar

Bond Angle: 120°

Unused p Orbitals: 1 (available for π bonds)

Common Examples:

  • • BF₃ (boron trifluoride)
  • • C₂H₄ (ethylene) - carbon atoms
  • • SO₃ (sulfur trioxide)
  • • NO₃⁻ (nitrate ion)

sp³ Hybridization

Orbitals Mixed: 1 s + 3 p = 4 sp³ orbitals

Steric Number: 4

Geometry: Tetrahedral

Bond Angle: 109.5°

Unused p Orbitals: 0 (only σ bonds)

Common Examples:

  • • CH₄ (methane) - 4 BP, 0 LP
  • • NH₃ (ammonia) - 3 BP, 1 LP
  • • H₂O (water) - 2 BP, 2 LP
  • • CCl₄ (carbon tetrachloride)

sp³d Hybridization

Orbitals Mixed: 1 s + 3 p + 1 d = 5 sp³d orbitals

Steric Number: 5

Geometry: Trigonal Bipyramidal

Bond Angles: 90°, 120°, 180°

Note: Requires 3rd period or higher (d orbitals)

Common Examples:

  • • PCl₅ (phosphorus pentachloride)
  • • SF₄ (sulfur tetrafluoride) - 1 LP
  • • ClF₃ (chlorine trifluoride) - 2 LP
  • • I₃⁻ (triiodide ion) - 3 LP

sp³d² Hybridization

Orbitals Mixed: 1 s + 3 p + 2 d = 6 sp³d² orbitals

Steric Number: 6

Geometry: Octahedral

Bond Angles: 90°, 180°

Note: Requires 3rd period or higher (d orbitals)

Common Examples:

  • • SF₆ (sulfur hexafluoride)
  • • BrF₅ (bromine pentafluoride) - 1 LP
  • • XeF₄ (xenon tetrafluoride) - 2 LP
  • • [PtCl₄]²⁻ (square planar complex)

Worked Example: Determining Hybridization of NH₃

Problem:

Determine the hybridization of the nitrogen atom in ammonia (NH₃).

Solution:

Step 1: Determine the Lewis Structure

Nitrogen has 5 valence electrons, each hydrogen has 1.

N: 5 electrons | H: 3 × 1 = 3 electrons | Total = 8 electrons

Structure: N-H bonds (3 bonding pairs) + 1 lone pair on N

Step 2: Count Electron Groups (Steric Number)

Bonding pairs: 3 (N-H bonds)

Lone pairs: 1 (on nitrogen)

Steric Number = 3 + 1 = 4

Step 3: Determine Hybridization

Steric number of 4 corresponds to sp³ hybridization

The nitrogen atom mixes 1 s orbital and 3 p orbitals to form 4 sp³ hybrid orbitals.

Step 4: Determine Geometry

Electron Geometry: Tetrahedral (4 electron groups)

Molecular Geometry: Trigonal Pyramidal (3 atoms + 1 LP)

Bond Angle: ~107° (less than 109.5° due to LP repulsion)

Answer:

The nitrogen atom in NH₃ is sp³ hybridized with a trigonal pyramidal molecular geometry and bond angles of approximately 107°.

VSEPR Theory & Hybridization

VSEPR (Valence Shell Electron Pair Repulsion) theory states that electron pairs around a central atom arrange themselves to minimize repulsion. This arrangement determines both the hybridization and molecular geometry.

Steric NumberHybridizationElectron GeometryBond Angle
2spLinear180°
3sp²Trigonal Planar120°
4sp³Tetrahedral109.5°
5sp³dTrigonal Bipyramidal90°, 120°, 180°
6sp³d²Octahedral90°, 180°

Important Note:

Lone pairs affect molecular geometry but NOT hybridization. For example, CH₄, NH₃, and H₂O all have sp³ hybridization (4 electron groups), but different molecular shapes: tetrahedral, trigonal pyramidal, and bent, respectively.

Real-World Applications

1. Organic Chemistry

Understanding carbon hybridization (sp, sp², sp³) is crucial for predicting molecular shapes, reactivity, and properties of organic compounds. Different hybridization states explain why alkanes, alkenes, and alkynes have different geometries and reactivities.

2. Drug Design

Pharmaceutical chemists use hybridization to design drugs that fit specific enzyme active sites. The 3D shape of molecules (determined by hybridization) affects how drugs bind to target proteins.

3. Materials Science

Diamond (sp³ carbon) and graphite (sp² carbon) have dramatically different properties due to different hybridization. This knowledge helps design new materials with specific properties.

4. Biochemistry

Protein and DNA structures depend on the hybridization of atoms in amino acids and nucleotides. Understanding hybridization helps explain enzyme mechanisms and genetic coding.

5. Spectroscopy

Hybridization affects molecular orbital energy levels, influencing UV-Vis and IR spectra. This allows chemists to identify unknown compounds and study molecular structure.

6. Coordination Chemistry

Metal complexes use d²sp³ or sp³d² hybridization for octahedral geometry, crucial for catalysis, biological systems (hemoglobin), and industrial processes.

Problem-Solving Strategy

Step 1: Draw the Lewis Structure

  • Count total valence electrons
  • Arrange atoms with central atom in middle
  • Draw bonds and distribute remaining electrons
  • Check for octet rule satisfaction

Step 2: Count Electron Groups (Steric Number)

  • Count bonding pairs (single, double, triple bonds each count as 1)
  • Count lone pairs on the central atom
  • Add them together: Steric Number = BP + LP

Step 3: Determine Hybridization from Steric Number

  • SN = 2 → sp
  • SN = 3 → sp²
  • SN = 4 → sp³
  • SN = 5 → sp³d
  • SN = 6 → sp³d²

Step 4: Determine Molecular Geometry

  • Use hybridization to find electron geometry
  • Account for lone pairs to find molecular geometry
  • Remember: LP-LP repulsion > LP-BP > BP-BP
  • Lone pairs reduce bond angles slightly

Common Mistakes to Avoid

❌ Counting Multiple Bonds as Multiple Groups

A double or triple bond counts as ONE electron group, not two or three.

Correct: CO₂ has 2 electron groups (2 double bonds), not 4

❌ Confusing Electron Geometry with Molecular Geometry

Hybridization determines electron geometry. Lone pairs affect molecular shape.

Correct: H₂O is sp³ (electron geometry: tetrahedral) but bent (molecular geometry)

❌ Forgetting d Orbitals for Period 3 and Higher

sp³d and sp³d² require d orbitals, only available from period 3 onward.

Correct: PCl₅ (P in period 3) can be sp³d, but NCl₅ doesn't exist (N in period 2)

❌ Not Considering Lone Pairs on Central Atom

Lone pairs count toward the steric number and affect hybridization.

Correct: Include lone pairs when calculating steric number

Quick Reference Guide

Hybridization Formula

SN = BP + LP

Steric Number determines hybridization

Quick Lookup

SN=2: sp, Linear, 180°

SN=3: sp², Trigonal planar, 120°

SN=4: sp³, Tetrahedral, 109.5°

SN=5: sp³d, Trig. bipyramidal, 90°/120°/180°

SN=6: sp³d², Octahedral, 90°/180°

Orbital Mixing

sp = 1s + 1p (2 orbitals)

sp² = 1s + 2p (3 orbitals)

sp³ = 1s + 3p (4 orbitals)

sp³d = 1s + 3p + 1d (5 orbitals)

sp³d² = 1s + 3p + 2d (6 orbitals)

Memory Aids

2: "sp is simple" (linear)

3: "sp² is a triangle" (trig. planar)

4: "sp³ is a tetrahedron"

5: "sp³d has 5 points"

6: "sp³d² is a 6-sided die"