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Dipole Moment Calculator

Calculate the electric dipole moment from charge separation distance.
Convert between Debye and SI units.
Understand polarity and molecular geometry effects.

Dipole Moment

The electric dipole moment (μ) measures the separation of positive and negative charge in a molecule. It determines polarity, intermolecular forces, and many physical properties.

Formula:

μ = q × d

Where:

  • μ = dipole moment (Debye or C·m)
  • q = magnitude of partial charges (in units of electron charge e)
  • d = distance between charge centers (pm or Å)

Unit conversion: 1 Debye (D) = 3.336 × 10⁻³⁰ C·m

For bond dipoles, a useful working formula: μ (Debye) = 4.803 × q_fraction × d (Å)

Where q_fraction is the fractional charge (0 to 1, from electronegativity difference).

Common molecular dipole moments:

Molecule μ (D) Notes
H₂O 1.85 Bent geometry, strong dipole
NH₃ 1.47 Trigonal pyramidal
HF 1.91 Highest bond dipole
HCl 1.08 Moderate
CO 0.11 Small, C⁻ end is negative
CO₂ 0 Linear, dipoles cancel
CCl₄ 0 Tetrahedral, dipoles cancel
CHCl₃ 1.04 Asymmetric
Benzene 0 High symmetry
Acetone 2.88 Large due to C=O

Vector addition for molecular dipoles: If a molecule has multiple bond dipoles, the net molecular dipole is the vector sum. Symmetric molecules (linear, trigonal planar, tetrahedral with identical substituents) have μ = 0 even though each bond is polar.

μ_net = √(Σμᵢ²) for perpendicular bonds μ_net = |μ₁ + μ₂ + 2μ₁μ₂cos(θ)| for bonds at angle θ

Effects of dipole moment:

  • Boiling point: Higher μ → stronger dipole-dipole forces → higher bp
  • Solubility: “Like dissolves like” — polar solvents dissolve polar solutes
  • Dielectric constant: High-μ solvents have large dielectric constants (water: 78.4)
  • Microwave absorption: Polar molecules absorb microwave radiation (basis of microwave cooking)

Debye unit origin: Named after Peter Debye (1884–1966), Dutch-American physicist. 1 D is approximately the dipole moment of a pair of charges ±0.2e separated by 1 Å.


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