This section closes Module 1 by combining its two big ideas. Electronegativity told you which bonds are polar. Molecular geometry told you which directions those bonds point. Put them together and you can predict whether a whole molecule is polar — which determines what it dissolves in, what it boils at, and how it interacts with everything around it.
Bond dipoles
A bond is polar when its two atoms differ in electronegativity: the shared electrons sit closer to one side, leaving that atom δ− and its partner δ+. This separation of charge across a distance is a dipole, and it is a vector — it has both a size and a direction.
The convention is to draw a bond dipole as an arrow pointing toward the more electronegative atom, with a small cross bar at the positive end. In C–O the arrow points at oxygen; in C–Li, unusually, it points at carbon, because lithium is far less electronegative than carbon. That reversal is what makes organolithium reagents so useful: their carbon is the negative end of its bond, so it is the carbon that carries the spare electron density and the carbon that goes and attacks something else.
A dipole's size scales with both the electronegativity difference and the bond length. This is why C–F, despite having the largest ΔEN of the carbon–halogen bonds, does not have the largest dipole moment — the C–F bond is short. C–Cl, with a smaller ΔEN but a longer bond, edges it out.
Molecular polarity depends on geometry too
A molecule's overall polarity is the vector sum of all its bond dipoles. Vectors of equal size pointing in opposite directions cancel. So a molecule built entirely from polar bonds can be completely nonpolar, provided its geometry is symmetric enough to cancel them.
The working procedure is: draw the Lewis structure, get the geometry from VSEPR, mark each bond dipole as an arrow, then add the arrows as vectors. Lone pairs contribute too — a lone pair is a concentration of electron density pointing away from the atom, so it acts like a dipole in its own right, which is part of why water is as polar as it is.
CO₂. Linear, with two strongly polar C=O bonds pointing in exactly opposite directions. They cancel perfectly. Nonpolar, μ = 0 D exactly.
Water. Bent, with two O–H dipoles. Because the molecule is bent rather than linear, the two arrows do not oppose each other — they add to give a net dipole bisecting the H–O–H angle, reinforced by the two lone pairs pointing the other way. Polar, μ = 1.85 D.
CCl₄. Tetrahedral, with four identical polar C–Cl bonds pointing symmetrically to the corners of a tetrahedron. They sum to zero. Nonpolar, μ = 0 D.
CHCl₃. Also tetrahedral, but one chlorine has been replaced by a hydrogen. The symmetry is broken, the cancellation is incomplete, and the molecule is polar, μ = 1.04 D. One substitution, and chloroform behaves as a completely different kind of solvent from carbon tetrachloride.
Dipole moment: a measurable quantity
Molecular polarity is quantified as the dipole moment (μ), measured in debyes (D). Some values worth having a feel for: CO₂ 0 D, CCl₄ 0 D, toluene 0.36 D, chloroform 1.04 D, chloromethane 1.87 D, water 1.85 D, ethanol 1.69 D, acetone 2.88 D, DMSO 3.96 D, acetonitrile 3.92 D.
Two things in that list are worth a second look. Carbonyl compounds sit high, because a C=O bond is both strongly polar and, in most geometries, impossible to cancel — a molecule with one is polar almost regardless of what else it has.
And water, the substance most people would name first if asked for a polar liquid, is not at the top — DMSO and acetone both beat it. Dipole moment measures one specific thing: the charge separation within a single isolated molecule. What makes water behave the way it does as a solvent is something else, which the next few paragraphs get to.
Why polarity shows up in physical properties
Polarity governs the strength of intermolecular forces, and intermolecular forces govern boiling point. Three tiers, weakest to strongest:
London dispersion forces act between all molecules, arising from momentary fluctuations in electron distribution. They are weak individually but scale with surface area, which is why pentane boils at 36 °C and decane at 174 °C despite both being nonpolar.
Dipole–dipole forces act between permanent dipoles and are stronger. Acetone (μ = 2.88 D, MW 58) boils at 56 °C, while butane (nonpolar, MW 58) boils at −1 °C. Nearly sixty degrees of difference at identical molecular weight, purely from polarity.
Hydrogen bonding is a special, unusually strong case of dipole–dipole attraction, available when hydrogen is bonded directly to N, O or F. Ethanol (MW 46) boils at 78 °C; dimethyl ether (MW 46, same formula, no O–H) boils at −24 °C. A hundred degrees from one hydrogen being on oxygen instead of on carbon.
What carries forward
Polarity is the practical face of Module 1. It decides solvent choice in every reaction you will run, and solvent choice is what tips SN1 against SN2 in Module 6. It explains the boiling-point and solubility trends you will be asked to rank for alcohols, ethers, aldehydes and carboxylic acids. And the δ+ carbon of a polar bond is, quite literally, the atom that gets attacked in the majority of the mechanisms ahead — the next module gives that idea its proper name: an electrophile.