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 Encyclopedia of Physical Science and Technology  EN002c-73  May 21, 2001  13:59






               312                                                                                    Boron Hydrides


               following assumptions of how the two electrons in each  Calculation of the charge distribution on the boron cage
               bond—two-center or three-center—are shared among the  of B 10 H 14 is hampered by the large number of possible
               atoms in the bond:                                bonding situations that have to be considered. Molecular
                                                                 orbital calculations, however, show that the boron atoms
               1. The very similar electronegativity of boron and  farthest from the open end of the boron hydride bear the
                  hydrogen result in even sharing of the two electrons  highest negative charges. The most negative boron atoms
                  in the boron-hydrogen terminal bond.           are B 2  and B 4  (Fig. 16) and the next most are B 1  and B 3 .
               2. The two electrons in a boron-boron single bond  Electrophilic alkylation, halogenation, and deuteration
                  should be shared evenly between the two atoms in the  all occur most readily at B 2 and B 4 and next at borons B 1
                  bond.                                          and B 3 .
               3. The two electrons in a boron-boron-boron
                  three-center bond should be shared evenly among the
                  three boron atoms, that is, 2/3 of an electron per atom.  VI. REACTIONS OF BORON
               4. Of the two electrons in a boron-hydrogen-boron three  HYDRIDE ANIONS
                  center bond, one is assigned to the hydrogen in the
                  bridge and 1/2 of an electron is assigned to each  The closo boron hydride anions have been studied con-
                  boron atom.                                    siderably more than the open ions, nido and arachno. The
                                                                 reactions of the open ions are quite varied, and we will
                 These assumptions can be applied to the 4120 styx solu-  consider only a few of these before proceeding to the re-
               tion of B 5 H 9 to give the total number of bonding electrons  actions of the closo anions.
               assigned to each boron atom. Then subtracting this num-
               ber from the number of valence electrons in the free boron
                                                                 A. Open Anions
               atom gives an approximation of the charge on each atom as
               shown in Fig. 15a. Averaging the charges of the four boron  Some boron hydride anions will add protons to produce
               atoms at the base of the square pyramid to account for hy-  neutralboronhydridesandthusprovideamethodofprepa-
               bridizing the possible bonding arrangements to maximize  ration for the neutral compounds, for example,
               symmetry gives the charges given in Fig. 15b.
                                                                                  −                −
                 According to this reasoning, all electrophilic substitu-  4HCl + 4B 3 H −→ 3B 4 H 10 + 4Cl + 3H 2
                                                                                  8
               tion such as alkylation, electrophilic halogenation, and  HCL + B 5 H −  −→ B 5 H 11 + Cl + H 2
                                                                                                 −
                                                                                 12
               electrophilic deuteration of B 5 H 9 should occur on the
               boron at the apex of the square pyramid (B1), and this  Some of these ions can complex transition metals, such
                                                                                          −
               is what is observed.                              asthecopper(I)complexofB 3 H andtriphenylphosphine,
                                                                                          8
                      B 5 H 9 + CH 3 Br −→ 1–CH 3 B 5 H 8 + HBr                    L     L
                        B 5 H 9 + DCl −→ 1–DB 5 H 8 + HCl                             Cu
                                                                                           H
                        B 5 H 9 + Br 2 −→ 1–BrB 5 H 8 + HBr
                                                                                 H       B
                                                                                              H
                                                                                       H
                                                                                 B
                                                                                                 H
                                                                              H              B
                                                                                     H
                                                                                                H
                                                                              L = triphenylphosphine



                                                                 B. Closo Anions
                                                                 The properties of the closo ions, B 6 H ,B 7 H ,B 8 H ,
                                                                                               2−
                                                                                                      2−
                                                                                                            2−
                                                                                               6      7     8
                                                                 B 9 H ,B 10 H ,B 11 H , and B 12 H , are roughly simi-
                                                                                              2−
                                                                     2−
                                                                                   2−
                                                                            2−
                                                                     9
                                                                                   11
                                                                            10
                                                                                              12
               FIGURE 15 (a) The charges calculated for one form of the bond-  lar. We will concentrate on B 10 H 2−  and B 12 H , the most
                                                                                                      2
               ing of B 5 H 9 using the simple model. (b) The same charges av-              10        12
               eraged so as to increase the molecular symmetry by making the  familiar and best studied.
                                                                                                         +
                                                                                                  +
               bonding to each of the boron atoms around the base of the square  Small unipositive cations such as Na and K form
               pyramid equivalent.                               soluble salts with the B 10 H 2−  and B 12 H 2−  anions that are
                                                                                       10        12
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