A quantum-mechanical LCAO approach was used to derive Pauling's popular empirical bond valencelength relationship s = exp((R o -R)/b), where s is the bond order or bond valence associated with bond length R, and R o and b are fitting parameters. An expression for the b "empirical" fitting parameter is derived in terms of atomic orbital exponents. The b parameters calculated from the atomic orbital exponents are consistent with optimized b parameters. In general, atomic orbital exponents may be

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... sed to determine bond valence-length relationships for any chemical bond regardless of valence state, oxidation number, physical or chemical environment. In this study, almost two-thousand carbon-carbon and carbon-hydrogen bond lengths were evaluated from over 40 compounds to yield reliable bond valence -bond length relationships for C-C and C-H bonds. The atomic orbital exponent for carbon was found to be  C = 1.651. Unit valence bond lengths (R 0 where s = 1) were found to be 1.493 Å for the carbon-carbon bond and 1.061 Å for the carbon-hydrogen bond.