Chemistry revision sheets

What Is a Dipole Moment? Bond Polarity Made Simple

Carbon dioxide contains two strongly polar bonds — oxygen is far more electronegative than carbon, and it pulls hard. Yet CO₂ is textbook-nonpolar. Water's O–H bonds are, if anything, more lopsided still, and water is one of the most polar small molecules there is. The thing that explains both is the dipole moment.

The short answer: a dipole moment measures how much charge is separated in a bond or a molecule, and in which direction. It is a vector — it has size and direction — so a molecule's overall dipole moment is the vector sum of its bond dipoles, which means perfectly opposed bond dipoles can cancel to zero even when each bond is strongly polar.

What a dipole moment actually measures

Take any polar bond. Electrons crowd toward the more electronegative atom, leaving a partial negative charge (δ−) there and a partial positive charge (δ+) at the other end. The dipole moment, written μ, is simply:

μ = Q × d

where Q is the size of the separated charge and d is the distance between the two charge centres. Both matter. A small charge pulled a long way apart can give the same μ as a big charge separated by a short distance.

Because these charges are tiny fractions of an electron, chemists don't use SI units here. The working unit is the debye (D), where 1 D = 3.336 × 10⁻³⁰ C·m. Handy reference values, all measured on the whole molecule:

MoleculeDipole moment (D)Polar?
H₂, Cl₂, N₂0No — identical atoms, no charge separation
CO₂0No — linear, bond dipoles cancel
CCl₄0No — tetrahedral, four dipoles cancel
HI0.45Slightly
HCl1.08Yes
CHCl₃1.04Yes
NH₃1.47Yes
H₂O1.85Strongly

As a rough working guide, anything above about 1.5 D counts as strongly polar for a small molecule, and anything at or very near zero is nonpolar.

Drawing the arrow

A bond dipole is drawn as an arrow with a small cross on its tail. The cross sits at the δ+ end and the arrowhead points toward the δ− atom — toward whichever atom is more electronegative. For H–Cl, the cross is on the hydrogen and the arrow points at the chlorine.

(A note if you also take physics: physicists define the dipole moment vector as pointing from negative to positive, the opposite of the chemistry convention. Both describe the same molecule; only the drawing convention differs. Use the chemistry arrow in chemistry exams.)

Adding the arrows up: why shape decides everything

Here is the whole idea in one move. Bond dipoles are vectors, so you add them like forces, not like numbers.

  • CO₂ (O=C=O) is linear. Two identical arrows point away from carbon in exactly opposite directions. They cancel perfectly. Net μ = 0 — polar bonds, nonpolar molecule.
  • H₂O is bent, with a bond angle of 104.5°. The two O–H arrows both point up toward the oxygen and do not oppose each other, so they add to a sizeable net dipole. Oxygen's two lone pairs push in the same direction and reinforce it. Net μ = 1.85 D.
  • CCl₄ is tetrahedral with four identical C–Cl arrows spread symmetrically. They cancel in three dimensions. Net μ = 0.
  • CHCl₃ is the same shape, but one chlorine is swapped for a hydrogen. The symmetry is broken, nothing cancels, and μ = 1.04 D.

That last pair is the cleanest demonstration you'll find: same geometry, same kinds of bonds, and swapping a single atom takes a molecule from nonpolar to polar.

Worked examples

Predict each before you read the answer.

1. Is BF₃ polar? B–F bonds are extremely polar. But BF₃ is trigonal planar, with three identical arrows at 120° to each other. They cancel. Nonpolar, μ = 0.

2. Is NH₃ polar? Three N–H bond dipoles point toward nitrogen, and the molecule is trigonal pyramidal rather than flat — so they don't cancel. The lone pair on nitrogen adds to the same side. Polar, μ = 1.47 D.

3. Which is more polar, HF or HI? Fluorine is far more electronegative than iodine, so the charge separation is much greater despite the shorter bond. HF (1.82 D) beats HI (0.45 D).

4. Is CO₂ polar if you bend it? It would be — a bent O=C=O would behave like SO₂, which is bent and has μ = 1.63 D. CO₂'s zero dipole is entirely a consequence of being linear.

Common mistakes to avoid

  • Confusing bond polarity with molecular polarity. "It has polar bonds" does not mean "it is a polar molecule." Always check the shape and add the vectors — CO₂ and CCl₄ exist precisely to catch this.
  • Adding dipole magnitudes like ordinary numbers. Two 1.5 D bonds do not make a 3.0 D molecule. Direction is half the information.
  • Forgetting lone pairs. Lone pairs bend the geometry and contribute their own charge density. Water and ammonia are both more polar than their bond dipoles alone would suggest.

FAQ

What is the unit of dipole moment?
The debye (D), where 1 D = 3.336 × 10⁻³⁰ coulomb-metres. Molecular dipole moments for small molecules typically fall between 0 and about 4 D.

Why is CO₂ nonpolar if it has polar bonds?
Because it is linear and symmetrical. The two C=O bond dipoles are equal in size and point in exactly opposite directions, so their vector sum is zero.

Does a bigger dipole moment mean a higher boiling point?
Often, for molecules of similar size — a larger dipole means stronger dipole-dipole attraction. But molecular size matters too, and a large electron cloud can produce dispersion forces that outweigh a modest dipole.

Is carbon monoxide polar?
Yes, but surprisingly weakly — only 0.11 D, and its negative end sits on the carbon, not the oxygen. It's a well-known exception where simple electronegativity reasoning gives the wrong answer, because the molecule's lone pairs and bonding overwhelm the atom-by-atom picture.

The takeaway

A dipole moment is charge separation with a direction attached. Work it out in two steps: give each polar bond an arrow pointing at the more electronegative atom, then add those arrows as vectors using the molecule's real three-dimensional shape. If they cancel, the molecule is nonpolar no matter how polar the individual bonds are; if they don't, whatever is left over is the molecular dipole.

Ground this with What Is a Polar Molecule? Shape, Dipoles, and Water, What Is Electronegativity? Trends and Examples, and Polar vs Nonpolar Bonds: What's the Difference?. Next in this series: [Cohesion vs Adhesion] and [Hydrophobic vs Hydrophilic].

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