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               436                                                                          Organic Chemical Systems, Theory


               observations made by chemists working with organic              H
               molecules. It is believed that the behavior of molecules                          H
                                                                      H   H    C
               can be understood, in principle, in terms of a few basic                    H
               laws of physics and that it is only the mathematical com-  H  C  C  C  C  H              Et
                                                                                         C 2 H 5
               plexity of the resulting equations that limits the accuracy                                1c
                                                                      H   H  H                   H
               with which the behavior of organic molecules can be pre-    1a                1b
               dicted a priori. Despite the largely approximate nature of  H
               the theoretical treatments applicable to large molecules,  H  H
               the theory has made substantial contributions, primarily  H  C
               by providing the language through which the various ob-
                                                                   H  C   C  O   O     (CH 3 ) 3 C  O  O  t-BuO 2
               served phenomena can be interrelated. It permits the ra-
                                                                   H                         2b           2c
               tionalization of trends and at times of individual observa-  C
               tions concerning the reactivity and properties of organic  H  H
                                                                          H
               molecules, and in some instances it has provided useful
                                                                           2a
               predictions.
                                                                   The number of bonds formed by an atom (its “cova-
                                                                 lency”) is dictated by the rules of valence. These state that
               I. CLASSICAL BONDING THEORY
                                                                 in order for an organic molecule to have reasonable stabil-
                                                                 ity under ordinary conditions rather than to appear only as
               Although the theory of organic chemistry has now been
                                                                 atransientreactionintermediate,ifatall,thevalenceshells
               cast in terms of quantum theory, most of the older quali-
                                                                 of all atoms in the structure have to contain a certain num-
               tative concepts of the classical bonding theory remain
                                                                 ber of electrons: 2 for hydrogen, 8 for other main-group
               useful. The classical theory thus represents a suitable in-
                                                                 elements, and 18 for transition metal elements. The group
               troductory level for the subject at hand.
                                                                 of 8 electrons in the valence shell of an atom is often
                                                                 referred to as a valence octet. In order to determine the
               A. Structural Formulas
                                                                 number of electrons in the valence shell of an atom, one
               In the classical description an organic molecule is rep-  counts all the unpaired electrons or electrons present in
               resented by a structural formula. This is a collection of  lone pairs on that atom, plus two electrons for each single
               atomic symbols (C, H, O, N, etc.) representing atoms  bond in which the atom is participating (four for a double
               (including their inner-shell electrons but excluding their  bond, six for a triple bond). In structures 1a through 1c all
               valence-shell electrons; the d electrons of a transition  atoms satisfy the rules of valence; in structures 2a through
               metal atom are included, although they may participate in  2c the terminal oxygen atom does not.
               bonding). At least one, but usually many, of these atoms  Each type of bond is associated with a contribution to
               must be carbon in order for the molecule to qualify as  the total energy of the molecule, and these contributions
               organic. The atomic symbols are connected by a network  are approximately additive. Typical bond strengths are
               of single, double, and triple lines, which stand for single,  presented in Table I. These are to be taken only as a rough
               double, and triple covalent bonds, respectively. These are  guide since the immediate environment of the bond, steric
               formed by the sharing of electron pairs between atoms,  strain (Section I.B), and resonance (see Section I.C) can
               with one bond representing one pair. The number of near-  have significant effects.
               est neighbors to which an atom is attached is called its  Atoms with valence shells that contain fewer electrons
               coordination number.                              than demanded by the valence rules are said to be co-
                 In addition, short lines (see 2a) or pairs of dots can  ordinatively unsaturated and usually are carriers of high
               be used to represent unshared (lone) electron pairs on an  chemical reactivity (terminal oxygen in 2, the central car-
               atom, but these are frequently omitted. Single dots rep-  bon in 3). Atoms with valence shells that contain a larger
               resent odd (unpaired) electrons if such are present (see  number of electrons than dictated by the rules are said to
               2a–2c).                                           be hypervalent. This situation is rare for atoms of the ele-
                 The symbols C and H for the carbon atom and the hy-  ments of the second row of the periodic table (presumably
               drogens attached to it, respectively, are also frequently  due to their small size and the resulting steric crowding)
               omitted. Commonly occurring groups of atoms of well-  but fairly common for those of the third and lower rows,
               known internal structure are often indicated by giving the  where the number of valence-shell electrons can be 10, 12,
               kind and number of atoms involved (e.g., C 2 H 5 for ethyl)  or even higher. Molecules containing hypervalent atoms
               or by an abbreviation (in this case, Et). A few examples  are often stable, particularly if the hypervalent atom is
               are given in 1a through 2c:                       of lower electronegativity than its neighbors (e.g., the tin
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