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               212                                                                              Physical Organic Chemistry


               PHYSICAL ORGANIC CHEMISTRY undertakes the           A covalent bond represents a stabilization of the
               investigation of the phenomena of organic chemistry by  molecule relative to the separated atoms. Through sharing
               quantitative and mathematical methods. This was the orig-  of electrons, each atom achieves an “octet configuration”
               inal approach, as presented in L. P. Hammett’s influen-  analogous to that of the noble gases. For example, each of
               tial book, “Physical Organic Chemistry: Reaction Rates,  the hydrogen atoms in 1 is associated with two electrons,
               Equilibria, and Mechanisms,” published in 1940. Prior to  just as in a helium atom. Thus the hydrogens achieve the
               Hammett’s studies, organic chemistry had largely been  inertness or unreactivity of a noble gas. Hydrogen and he-
               viewed as a collection of empirical observations, without  lium are unique in that only two electrons are necessary
               any underlying sense. Hammett’s contribution was to take  to complete a filled shell. For the next rows of the peri-
               the methodology of physical chemistry, apply it to organic  odic table, eight valence electrons are necessary, hence
               chemistry, and derive regularities that placed organic re-  the designation “octet.” For example, carbon in methane
               activity on a quantitative basis.                 (2) achieves its octet by sharing its four valence electrons
                 Since then, physical organic chemistry has broadened  with four hydrogens, each contributing another electron,
               its focus to the structure, properties, and reactions of or-  and each of the carbons in ethane (3) shares a pair of elec-
               ganic molecules, and especially to the relationship be-  trons with each of three hydrogens and also with each
               tween structure and reactivity. Physical organic chem-  other. In ethene (4) each of two carbons achieves its octet
               istry asks how chemical reactivity depends on molecular  by sharing two pairs of electrons with each other and also
               structure. Part of the answer comes from detailed and  two additional electron pairs with two hydrogens. The four
               quantitative studies of some reactions. Part comes from  electrons that are shared between the two carbons form a
               recognizing analogies among classes of reactions. This  double bond, symbolized by two connecting lines. Simi-
               latter is a particularly powerful method since it permits  larly, ethyne (5) has a triple bond, with six electrons shared
               the extension of understanding from one well studied  between the two carbons, each of which achieves an octet.
               class of reactions to another, less well understood one.
               The underlying principle is that small perturbations of
               molecular structure are unlikely to lead to major changes
               in reactivity. This principle does not always hold, but
               it holds often enough to provide a broad general the-
               ory of chemical reactivity. In recent years physical or-
                                                                   A system of graphic symbols, called Lewis structures,
               ganic chemists have been successful in codifying the
                                                                 permits the illustration of molecular structures. Accord-
               underlying principles of chemical structure and reactiv-
                                                                 ing to this system, every valence electron must be shown.
               ity. The results have provided not only a deep under-
                                                                 Some valence electrons are in covalent bonds, whether
               standing of organic reactions, but also applications to
                                                                 single, double, or triple. Some valence electrons are un-
               organic synthesis, biochemical processes, and materials
                                                                 shared and are symbolized as dots on the atoms to which
               science.
                                                                 they belong. Sometimes these are paired, as in ammonia
                                                                 (6) or water (7), where the unshared electrons are called
                                                                 lone pairs. Sometimes an unshared electron is unpaired,
               I. MOLECULAR STRUCTURE: BONDING                   as in methyl radical (8 ), where it is called an odd electron.
                                                                 This last is unusual in that the carbon lacks an octet. In
               A. Covalent Bonding                               nearly all stable molecules every atom has its octet, and
               Since structure determines chemical reactivity, it is neces-  nonoctet atoms are usually quite reactive (NO and NO 2
                                                                 are exceptions).
               sary to have a thorough understanding of molecular struc-
               ture. Two atoms are held together by the sharing of valence
               electrons between them. The interaction that arises from
               sharing a pair of electrons is called a covalent bond. In
               early illustrations the two electrons were shown as dots.
               Now the covalent bond is symbolized by a line connecting  Exceptions to the octet rule are possible. Metallic ele-
               the two atoms. The simplest case is the hydrogen molecule  ments, at the left of the periodic table, often lack an octet.
               (1), formed from two hydrogen atoms, each with one va-  For example, the boron in BF 3 has only six electrons. More
               lence electron. The line symbolizes the two electrons that  common exceptions are with atoms in the second full row
               are shared.                                       of the periodic table, such as the phosphorus in PCl 5 or
                                                                 the sulfurs in dimethyl sulfoxide (9) and sulfuric acid (10),
                                                                 which have 10, 10, and 12 electrons, respectively.
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