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566  17 Liquid Nonaqueous Electrolytes

                      A more recent but closely related explanation of the shift of oxidation poten-
                    tials by electron-withdrawing substituents is based on results of semi-empirical
                    quantum-mechanical calculations [219, 266–268]. Methods such as MNDO, AM1,
                                                ∗
                                 ∗
                    PM3, HF/3-21G , or B3LYP/6-31G are used to yield the energy of the highest
                    occupied molecular orbital E HOMO of the anion. Correlations of E Ox with E HOMO
                    are linear for a given set of compounds of similar structure.
                      Anodic stability limits, for example, of vinyl compounds, are linearly correlated
                    with a slope of −1eV·V −1  [269] to their E HOMO -values. However, for alkyl and aryl
                    borates a much larger value of −3eV·V −1  is obtained [252], in accordance with our
                    values for the chelatoborates. Li[B(C 6 H 4-x F x O 2 ) 2 ], x = 0(1), x = 1(2), x = 4(3)

                    and lithium bis[2,3-naphthalenediolato(2−)-O,O ]borate, Li[B(O 2 C 10 H 6 ) 2 ] (4) [211]
                    of Figure 17.6 show that the underlying oxidation mechanisms are closely related.
                      There is a difference in the behavior of benzenediolatoborate and
                    naphthalenediolatoborate  solutions  on  the  one  hand  and  lithium
                    bis[2,2 -biphenyldiolato(2–)-O,O ]borate  (5),  lithium  bis[salicylato(2–)]borate


                    (6) or benzenediolatoborate/phenolate mixed solutions on the other hand. This
                    can be tentatively explained by the assumption of different decomposition
                    mechanisms due to different structures which entail the formation of soluble
                    colored quinones from benzenediolatoborate anions and lithium-ion conducting
                    films from solutions of compounds (5) and (6) [107]. The assumption of a
                    different mechanism and the formation of a lithium-ion conducting electronically
                    insulating film are supported by:

                    • The shift of the linear correlation of the values for the highest occupied molecular
                      orbital E HOMO with anodic decomposition voltages E Ox of about −3eV·V −1  to
                      higher oxidation potentials by about 1 eV (see Figure 17.6).


                           6                  3
                                                         6


                          5.5
                                    4
                      −E HOMO  eV  5  2     5


                               1
                            3.5   3.75    4     4.25    4.5
                                         +
                                 E Ox  vs Li/Li
                                     V

                    Figure 17.6  Linear correlation of HOMO-energies and an-
                    odic oxidation limits of lithium borates Li[B(C 6 H 4-x F x O 2 ) 2 ],
                    x = 0(1); x = 1 (2), and x = 4(3),Li[B(O 2 C 10 H 6 ) 2 ](4),
                    lithium bis[2,2 -biphenyldiolato(2−)-O,O ]borate (5), and


                    lithium bis[salicylato(2–)]borate (6).
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