Not all atoms attract electrons with the same force. The amount of "pull" an atom exerts on its electrons is called its
electronegativity. Atoms with high electronegativitiessuch as
fluorine,
oxygen, and
nitrogenexert a greater pull on electrons than atoms with lower electronegativities such as
alkali metals and
alkaline earth metals. In a bond, this leads to unequal sharing of electrons between the atoms, as electrons will be drawn closer to the atom with the higher electronegativity. Because electrons have a negative charge, the unequal sharing of electrons within a bond leads to the formation of an
electric dipole: a separation of positive and negative electric charge. Because the amount of charge separated in such dipoles is usually smaller than a
fundamental charge, they are called
partial charges, denoted as δ+ (
delta plus) and δ− (delta minus). These symbols were introduced by
Sir Christopher Ingold and
Edith Hilda (Usherwood) Ingold in 1926. The bond dipole moment is calculated by multiplying the amount of charge separated and the distance between the charges. These dipoles within molecules can interact with dipoles in other molecules, creating
dipole-dipole intermolecular forces.
Classification Bonds can fall between one of two extremescompletely nonpolar or completely polar. A completely nonpolar bond occurs when the electronegativities are identical and therefore possess a difference of zero. A completely polar bond is more correctly called an
ionic bond, and occurs when the difference between electronegativities is large enough that one atom actually takes an electron from the other. The terms "polar" and "nonpolar" are usually applied to
covalent bonds, that is, bonds where the polarity is not complete. To determine the polarity of a covalent bond using numerical means, the difference between the electronegativity of the atoms is used. Bond polarity is typically divided into three groups that are loosely based on the difference in electronegativity between the two bonded atoms. According to the
Pauling scale: •
Nonpolar bonds generally occur when the difference in
electronegativity between the two atoms is less than 0.5 •
Polar bonds generally occur when the difference in electronegativity between the two atoms is roughly between 0.5 and 2.0 •
Ionic bonds generally occur when the difference in electronegativity between the two atoms is greater than 2.0
Pauling based this classification scheme on the
partial ionic character of a bond, which is an approximate function of the difference in electronegativity between the two bonded atoms. He estimated that a difference of 1.7 corresponds to 50% ionic character, so that a greater difference corresponds to a bond which is predominantly ionic. As a
quantum-mechanical description, Pauling proposed that the
wave function for a polar molecule AB is a
linear combination of wave functions for covalent and ionic molecules: ψ = aψ(A:B) + bψ(A+B−). The amount of covalent and ionic character depends on the values of the squared coefficients a2 and b2.
Bond dipole moments . δ− shows an increase in negative charge and δ+ shows an increase in positive charge. Note that the dipole moments drawn in this diagram represent the shift of the valence electrons as the origin of the charge, which is opposite the direction of the actual electric dipole moment. The
bond dipole moment uses the idea of
electric dipole moment to measure the polarity of a chemical bond within a
molecule. It occurs whenever there is a separation of positive and negative charges. The bond dipole
μ is given by: :\mu = \delta \, d. The bond dipole is modeled as δ+ — δ– with a distance
d between the
partial charges δ+ and δ–. It is a vector, parallel to the bond axis, pointing from minus to plus, as is conventional for
electric dipole moment vectors. Chemists often draw the vector pointing from plus to minus. This vector can be physically interpreted as the movement undergone by electrons when the two atoms are placed a distance
d apart and allowed to interact, the electrons will move from their free state positions to be localised more around the more
electronegative atom. The
SI unit for electric dipole moment is the coulomb–meter. This is too large to be practical on the molecular scale. Bond dipole moments are commonly measured in
debyes, represented by the symbol D, which is obtained by measuring the charge \delta in units of 10−10
statcoulomb and the distance
d in
Angstroms. Based on the
conversion factor of 10−10 statcoulomb being 0.208 units of elementary charge, so 1.0 debye results from an electron and a proton separated by 0.208 Å. A useful conversion factor is 1 D = 3.335 64 C m. For diatomic molecules there is only one (single or multiple) bond so the bond dipole moment is the molecular dipole moment, with typical values in the range of 0 to 11 D. At one extreme, a symmetrical molecule such as
bromine, , has zero dipole moment, while near the other extreme, gas phase
potassium bromide, KBr, which is highly ionic, has a dipole moment of 10.41 D. For polyatomic molecules, there is more than one bond. The total
molecular dipole moment may be approximated as the
vector sum of the individual bond dipole moments. Often bond dipoles are obtained by the reverse process: a known total dipole of a molecule can be decomposed into bond dipoles. This is done to transfer bond dipole moments to molecules that have the same bonds, but for which the total dipole moment is not yet known. The vector sum of the transferred bond dipoles gives an estimate for the total (unknown) dipole of the molecule. == Polarity of molecules ==