In order to guarantee the desired invariance properties of bond indices, we show the importance of expliciting the tensor character of the matrices concerned, so as to deal with a contraction in the tensor sense between a covariant index and a contravariant one. A straightforward definition of oxidation numbers is proposed. IEH calculations of valence and oxidation numbers for some appropriate examples are performed: they emphasize the role of "secondary" bonds in N and C-containing compounds; the hydrogen behaviour in half-bonds and strong H-bonds is satisfactorily accounted for; valence and oxidation number values are assigned to Fe, Co and Ni in a few complexes.
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Giambiagi et al. (1984) studied this question.
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