Chapter 11: Electronic Structure of Compounds
(June 27, 1999: not final!)
e-mail the chemprof


G.N. Lewis, formulated ideas about the nature of chemical bonds early in this centruy.  Notably, while atoms can be (and indeed often are) paramagnetic, possessing unpaired electrons, molecules and ionic solids are most often diamagnetic: possessing no unpaired electrons.  (Notable exceptions to this rule are ionic solids containing first row transition metals, or the lanthanides.  We are going to ignore these compounds at this time.)

An ionic bond results from the transfer of electrons from one atom (the cation) to another (the anion) and the subsequent electrostatic attraction between these oppositely charged particles which results.  This can only occur when metals and non-metals bind to one another.

In contrast, covalent bonds result from sharing of electrons and this occurs when two non-metals interact.  If the two non-metals are identical in all respects (identity + chemical environment) then the sharing is equal and the bond is a pure covalent bond.  For the interaction of any two unlike atoms there is necessarily some disparity in the sharing of electrons and the result is a polar covalent bond.  Each of the atoms in the bond takes on some partial charge (as previously seen for water, below) denoted with a d+ or d-.
.

.
Electronegativity, as originally defined by Pauling, is the ability of an atom in a molecule to attract electrons to itself.  The all-time electron winner: fluorine, was arbitrarily assigned a value of 4.0, while the other elements were referenced against it.
.
Note the distinction between electronegativity and electron affinity!  Yes, chlorine exhibits a higher electron affinity, but that represents the energy released upon binding an entire electron.  Electronegativity differences tell us what direction the d+/d- go in an individual bond.  This is sort of like the initial tug-of-war for electrons in a polar covalent bond.  When Cl and F bond together it is fluorine which exhibits a greater propensity to attract the shared electrons to itself and bears d-, while chlorine bears d+ in species such as ClF3.  So why does Cl beat F in terms of energy released upon binding an entire electron?  F is so small that it "saturates" with electron density more quickly than Cl.  Placing the newly bound electron in a 2p orbital for F necessarily brings it much closer to the other electrons in the system compared to the 3p orbital of Cl.
Initial tug of war: F beats Cl for electron density
DHea for binding an entire electron: Cl beats F

Periodic trends for electronegativity:
    - across a period, left to right, electronegativity INCREASES
    - down a column (family), electronegativity DECREASES

In all three types of bonds, ionic, polar covalent, and covalent, it is the valence electrons which are most important in the chemical bonding, and spin pairing results from these interactions (since paramagnetic atoms form diamagnetic compounds).



Lewis Structures for ionic substances

The Lewis structure for any particular atom in a molecule or ionic substance is a way of representing the atom, it's electronic structure, and it's bonding capabilities, in the compound.  For ionic substances coulombic attraction between oppositely charged ions holds the solid together (quite strongly).  In these cases, no sharing of electrons occurs to a first approximation and the Lewis representation of each ion consists of the element symbol, and the valence electrons arranged in pairs, with dots representing each electron.

For the cations this is most often just the chemical symbol itself, since the cation attains the stable noble gas configuration when it loses all of it's valence electrons.  For the anions, the representation typical consists of the element symbol and four pairs of dots (representing the 8 electrons in the s+p subshells) which allows this anion to attain the next highest closed shell electronic configuration.

If one is dealing with main group elements all d/f electrons can be ignored since these act as "core" electrons, being too low in energy to significantly participate in bonding even when they are present.

Procedure for drawing Lewis structures in ionic substances:

1) assign oxidation states for both the cation and the anion
2) count up the valence electrons in the ions
3) draw the structure as described above

Examples: NaCl, Al2S3, CaBr2

Na = +1, no valence electrons,
Cl = -1, 8 valence electrons
.

.
Al = +3, no valence electrons,
S = -2, 8 valence electrons
.
.
Ca = +2, no valence electrons
Br = -1, 8 valence electrons (ignore the filled 3d subshell)
.


Lewis Structures for covalently bonded species

Lewis noticed that with this set of guidelines, the main-group anions almost invariably contained 8 electrons around them, while the main-group cations contained none (or the 8 s+p electrons from the previous period).  Stability was associated with this configuration which became known as the "octet rule."

Procedure for drawing Lewis Structures

    1) Determine the total # of valence e- in the molecule
            (sum for all atoms), but ignore d-electrons for main group elements
    2) Determine the central atom (often lowest electronegativity)
            - never F
            - never H
            - if formula is something like AB3 or AB4,
                then A is the central atom.  (e.g CH4, NH3, ClO4-)
    3) Draw a skeleton structure:
            - draw lines between all bonded atoms
            - each line represents one covalent bond = 2 e-
    4) Appropriate the remaining electrons in in such a way as to
        accomplish the following:

            * maximize the number of bonds:
                additional lines may be drawn between atoms and
                these signify multiple bonds.
            * minimize the formal charge = QF on the atoms
.
        Bonds are denoted by single lines, while two closely spaced dots represent "lone pairs" of electrons belonging to a single atom and which are not directly involved in bonding.

    5) The following "rules" apply to 4)

            * electrons are "counted" for each atom as follows:
                - bonds (lines) count as two electrons for each atom
                in the bond...  (bonds increase the electron count for
                each atom involved in sharing.)
                - All remaining electrons are counted individually.

            * H never gets more than two electrons
                - always just one covalent bond, no lone pairs

            * Li, Be, B, C, N, O, F, Ne never get more than 8 electrons
               - the "real" octet rule! atoms oftenobtain
                    8 valence electrons in the best Lewis structure
                - F always gets one single bond and three lone pairs
                    in the best Lewis Structure
                - terminal halogen atoms behave similarly to fluorine



Formal Charge: QF

    QF = # of valence electrons in free atom (V) - # of electrons "belonging" to the atom in the molecule.

    * for bond pairs of electrons (lines, BP's) only half the electrons depicted actually "belong" to the atom from the standpoint of assigning formal charges
    * for lone pairs of electrons (dots, LP's) the electrons belong 100% to the atom they are associated with.

QF = V - (BP's) - 2 x LP's

Note that the sum of all QF's
for all the atoms in a polyatomic ion = the charge on the ion,
for all atoms in a molecule (neutral species) = 0.

SQF = charge on the ion
        = 0 for neutral species



Assigning bond orders between atoms in Lewis Structures

    One of the great accomplishments of Lewis Structures is that they allow estimation of the extent of covalent bonding between two atoms in a molecule or molecular ion.

    Single bond: one line in the structure, 2 bonding electrons
    Double bond: two lines in the structure, 4 bonding e-
    Triple bond: three lines, 6 e- between the atoms
    Qaudruple bond (transition metals only): 8 e-, 4 lines

Why is this important?

    * Strength of chemical bonds increase
       with increasing bond order
    * Observed bond distance (see table below),
       the separation between the atoms
       involved in a chemical bond,
       decreases as bond order increases
.

Average Bond Lengths
bond length (pm) bond length (pm) bond
length (pm)
C-C
154
N-N
145
C-N
147
C=C
134
N=N
123
C=N
128
CC
120
NN
109.8
CN
116


Examples: H2, N2, O2, F2, CO2
Click here to move on to the next section, 11.6,
     exceptions to the octet "rule"
Click here to return to Chapter 10, periodic trends.