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               308                                                                                    Boron Hydrides


               mentioned  previously.  See  Table  II  for  the  number  of
               electrons needed for each level of structure, closo, nido,
               arachno, and hypho. Thus, for example, B 6 H 2−  and
                                                       6
                                             −
                                      −
               B 8 H 2−  are closo ions, B 5 H ,B 11 H , and B 10 H −  are
                   8                  8      14         13
                            2−
                                  −
               nido ions, B 5 H ,B 5 H , and B 9 H −  are arachno ions,
                            9     10        14
               and B 5 H , and B 5 H −  are hypho ions.
                      2−
                      11        12
                 2. Closo Boron Hydride Anions                   FIGURE 9 The proposed closure of B 10 H 14 to the B 10 H 2−  ion.
                                                                                                          10
                                                                 [From Middaugh, R. L. (1975). In “Boron Hydride Chemistry” (E.
               According to Wade’s rules, closo boron hydride anions,
                                                                 L. Muetterties, ed.), p. 279, Academic Press, New York, Figure
               that is, anions having the structure of a full polyhedron  8.2.]
               and thus the same number of boron atoms and hydrogen
               atoms, will have a charge of −2. This family has a number
               of members, but the most stable and the most studied are  2NaBH 4 + B 10 H 14 −→ Na 2 B 12 H 12 + 5H 2
               B 10 H 2−  and B 12 H . The structures of these two anions  The reactions of these two ions will be discussed in
                              2−
                   10         12
               are given in Fig. 8. The B 10 H 2−  ion has the geometry of a  Section V and have much in common with the reactions
                                      10
               cube with one side twisted 45 with respect to the oppo-  of aromatic organic compounds.
                                       ◦
               site side and each of these opposite ends capped so that all
               faces of the figure are triangles. This is called a bicapped
               square antiprism. The B 12 H 2−  ion has the highly sym-  B. Carboranes
                                      12
               metrical geometry of an icosahedron, the Platonic solid  Since carbon has one more electron than boron, substitu-
               with 12 vertices, each indistinguishable from all the oth-  tion of a boron and a single negative charge in a boron
               ers. Likewise it has 20 identical faces and 30 identical  hydride anion with a carbon atom will formally lead to a
               edges. The high stability of these ions can be attributed  compound with the same number of electrons and, pre-
               to extensive delocalization of electrons resulting from the  sumably, a very similar structure to the original boron hy-
               high symmetry and polyhedra that are sufficiently large so  dride anion. The new compound is referred to as a carbo-
               that bond angle strains on the boron atoms are minimal.  rane, a compound containing only the elements boron,
                 These anions can be prepared by relatively simple, high-  hydrogen, and carbon in which the carbon atom is in a
               yield reactions. The B 10 H 2−  ion is prepared by closure of
                                    10                           vertex location in the polyhedral framework along with
               the neutral boron hydride B 10 H 14 in the presence of a base:  boron atoms. Wade’s rules also apply to carboranes which
                                                                 can exist in closo, nido, and arachno forms. Each car-
                2(C 2 H 5 ) 3 N + B 10 H 14 −→ [(C 2 H 5 ) 3 NH] 2 B 10 H 10 + H 2
                                                                 bon atom provides and additional electron to help bond
               The proposed mode of closure of B 10 H 14 to the B 10 H 2−  the framework. These carbon atoms are framework atoms
                                                           10
               ion is shown in Fig. 9.                           and so the number of electrons needed to bond the cage
                 The B 12 H 2−  ion can be prepared by the reaction of  for a closo structure is n B + n C + 2, where n B is the num-
                         12
               sodium borohydride with B 10 H 14 :               ber of boron atoms in the cage, and n C is the number
                                                                 of carbon atoms in the cage. Likewise, n B + n C + four
                                                                 electrons are necessary for the nido structure, etc. Ac-
                                                                 cording to this counting procedure, C 2 B 3 H 7  has five cage
                                                                 atoms and nine electrons for bonding the cage, five from
                                                                 the five cage atoms, two resulting from the inclusion of
                                                                 two carbon atoms, and the two resulting from the two
                                                                 hydrogen atoms in excess of the five cage atoms. This
                                                                 gives us the n B + n C + 4 electrons necessary for the nido
                                                                 structure indicating that this carborane can be viewed as
                                                                 a deltahedron with one cage atom removed. By this same
                                                                 counting procedure, C 2 B 7 H 13 has an arachno structure.
               FIGURE 8 The structures and numbering conventions of the  The structures of several nido and arachno carboranes
               boron hydride anions, B 10 H 2−  (left) and B 12 H 2− . Each polyhedral
                                  10           12                are given in Fig. 10. Preparative reactions for nido and
               vertex represents a boron atom to which is attached a terminal
               hydrogen atom directed radially outward. [From Middaugh, R. L.  arachno carboranes tend to produce mixtures of prod-
               (1975). In “Boron Hydride Chemistry” (E. L. Muetterties, ed.), p.  ucts and relatively low yields. For example, B 4 H 10 in the
               275, Academic Press, New York, Figure 8.1.]       gas phase will react with acetylene to produce at least
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