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 Encyclopedia of Physical Science and Technology  EN012G-576  July 28, 2001  12:44







              Physical Organic Chemistry                                                                  219

                                                                is said to be chiral, and the atom is called a stereocen-
                                                                ter. Lactic acid (2-hydroxypropionic acid, 45, or its mirror
                                                                image, 45 ) is such a molecule. No matter how 45 is ro-


                                                                tated, it cannot be placed on top of 45 so that all atoms
                Consequently some molecules with double bonds can  correspond. They have different configurations, or spe-
              exist as a pair of stereoisomers, two different molecules  cific three-dimensional arrangements of the four groups
              with the same connectivity. For example, 2-butene exists  around the central carbon. According to designations that
              as both (Z)-39 and (E)-39. These designations rely on the  rely on the Cahn–Ingold–Prelog priority rules, 45 is the
              Cahn–Ingold–Prelog priority rules. Older terminology is  (S) configuration and 45 is (R).

              to call these cis and trans, respectively, and this sort of
              isomerism, arising from sidedness on a double bond, is
              often called cis/trans isomerism.


                                                                  A molecule that is superimposable on its mirror im-
                                                                age is said to be achiral. Propionic acid (46) is such a
                                                                molecule. There are two simple structural features either
                The (Z) isomer is 1.0 kcal/mole less stable than the (E)  of which guarantees achirality. One of these is a plane of
              owing to steric repulsion between the two methyl groups.  symmetry through the middle of the molecule such that
              With cycloalkenes, such as cyclooctene and smaller rings,  each atom not on that plane is matched by an identical
              the (Z)or cis isomer is much more stable because bond  atom reflected through that plane. The plane of the paper
              angles are severely strained if a short chain must span the  is a plane of symmetry for 46. The other feature is an in-
              carbons on opposite sides of the double bond of the (E)  version center, a point in the middle of the molecule such
              isomer (40; n = 5–8). Likewise, bicyclic alkenes like 41  that each atom is matched by an identical atom equidis-
              are severely strained by a double bond that can be (Z)or  tant from that point and in the exact opposite direction.
              cis in one (six-membered) ring but must be (E)or trans in  A molecule with this feature is (R, S)-1,2-dibromo-1,2-
              the other. The instability of such molecules is often called  dichloroethane (47). This has two stereocenters but is nev-
              Bredt’s rule.                                     ertheless achiral. A molecule that is achiral despite having
                                                                stereocenters is said to be meso.






                                                                  A chiral molecule and its (nonsuperimposable) mir-
                Amides (42) represent an intermediate situation. Be-  ror image are two different molecules with the same
              cause of the additional resonance form 43 there is partial  connectivity. They are therefore stereoisomers. Such
              C–N double-bond character. Rotating the NHR relative  stereoisomers are said to be enantiomers. Enantiomers are

              to the RC( O) prevents the lone pair on the N from over-  very similar to each other, with the same melting point,
              lapping with the p orbital on carbon, similar to 38. The  boiling point, solubility, spectral characteristics, stabil-
              twisted structure is less stable by the energy of the partial  ity, and reactivity (except toward other chiral molecules).
              double bond, or ∼20 kcal/mole. Consequently there is an-  They differ in their ability to rotate the plane of polarized
              otherstereoisomer,44.Thetwostereoisomersinterconvert  light, a property known as optical activity. One enantiomer
              rapidly at room temperature but they can be recognized as  will be dextrorotatory, rotating the plane of polarization to
              separate species by NMR techniques.               the right, whereas the other will be levorotatory, rotating
                                                                the plane to the left. These are designated with prefixes
                                                                (+)- and (−)-, respectively. The (S)-2-hydroxypropionic
                                                                acid (45) is dextrorotatory (+)-2-hydroxypropionic acid.
                                                                There is no universal relation between the R or S desig-
                                                                nation and the rotatory power.
                                                                  Chirality is a necessity for optical activity, but it is not
              D. Stereoisomerism from Stereo Centers
                                                                a guarantee. A 50:50 mixture of two enantiomers is opti-
              A tetrahedral atom with four different groups attached is  cally inactive because the dextrorotatory and levorotatory
              not superimposable upon its mirror image. Such an object  powers exactly cancel. Such a material is called a racemic
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