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Oxidation Numbers and Balancing Redox Equations Formal Charge. To determine whether an atom within a covalently bonded structure bears a formal charge, use this algorithm: formal charge (q) = nv – np (1) where nV is the number of electrons present in the valence shell of an isolated atom and np is the number of electrons "possessed" by the atom within the structure. Examples: A carbon atom with four covalent bonds in any combination (four single, one double and two single, etc.) would possess 4 electrons (half of each covalent bond) and would have nv = 4, thus q = 0. An oxygen atom with three lone pairs of a electrons and one covalent bond would have n = 7 (three wholly owned pairs and half of one covalent bond) and nv = 6; thus q = –1. Oxidation number. To determine the oxidation number of an atom within a covalently bonded structure, use this algorithm: oxidation number (N) = nen – nep + q (2) where nen is the number of bonds to atoms more electronegative than the atom in question, nep is the number of bonds to atoms more electropositive than the atom in question, and q is the formal charge, if any, borne by the atom. Bonds to atoms with equal electronegativity (i.e., bonds to another atom of the same element) need not be considered. Only F is more electronegative than O so NO is always –2 unless an F-O bond is present. In commonly encountered organic compounds, only B, Si, and P are more electropositive than H, so NH is always +1 unless B-H, Si-H, or P-H bonds are present. The sum of all oxidation numbers within the structure will be equal to the overall charge, if any. Examples: The carbonyl carbon in acetone has NC = +2, each methyl carbon has NC = –3, each H has NH = +1, and the O has NO = –2. the carbon atom in formaldehyde has NC = 0. The sulfur atom in sulfate has NS = +6 and all of the oxygens have NO = –2, two of them bearing formal negative charges. In nitromethane (H3C-NO2), the carbon atom has NC = –2, each O has NO = –2, each H has NH = +l, and the nitrogen has NN = +3. Balancing redox equations. There are several systems. If you've forgotten or none are familiar, try this one: 1. Determine which substances are oxidized and which are reduced (i.e., assign oxidation numbers to all atoms). 2. Select stoichiometric coefficients for the oxidized and reduced species such that (i) the number of electrons transferred to oxidants is equal to the number of electrons transferred from reductants and (ii) the coefficients are minimized. 3. Check to see whether the number of oxygen atoms is equal on each side of the equation. If not, add water either as a product or reactant as required. 4. Check to see whether the number of hydrogen atoms is equal on each side of the equation. If not, add protons to either side as required. 5. The equation should now be balanced. Check to see that the total net charge on the reactant side is equal to that on the product side. Any imbalance will indicate an error in one of the previous steps. Check also to be sure that the stoichiometric coefficients do not have a common divisor. Pauling electronegativities. Electronegativity increases upward toward the right on the periodic table, and decreases downward to the left. Elements commonly found in organic compounds are shown below. Remember that these values are inherently approximate. Each element is assigned a single-valued electronegativity even though the electronegativity of an atom must depend on its valence. Sulfur in SF6, for example, must in reality have a different electronegativity than that in H2S.