Abstract
The bonded radius, r b(S), of the S atom, calculated for first- and second-row non-transition metal sulfide crystals and third-row transition metal sulfide molecules and crystals indicates that the radius of the sulfur atom is not fixed as traditionally assumed, but that it decreases systematically along the bond paths of the bonded atoms with decreasing bond length as observed in an earlier study of the bonded radius of the oxygen atom. When bonded to non-transition metal atoms, r b(S) decreases systematically with decreasing bond length from 1.68 Å when the S atom is bonded to the electropositive VINa atom to 1.25 Å when bonded to the more electronegative IVP atom. In the case of transition metal atoms, rb(S) likewise decreases with decreasing bond length from 1.82 Å when bonded to Cu and to 1.12 Å when bonded to Fe. As r b(S) is not fixed at a given value but varies substantially depending on the bond length and the field strength of the bonded atoms, it is apparent that sets of crystal and atomic sulfide atomic radii based on an assumed fixed radius for the sulfur atom are satisfactory in that they reproduce bond lengths, on the one hand, whereas on the other, they are unsatisfactory in that they fail to define the actual sizes of the bonded atoms determined in terms of the minima in the electron density between the atoms. As such, we urge that the crystal chemistry and the properties of sulfides be studied in terms of the bond lengths determined by adding the radii of either the atomic and crystal radii of the atoms but not in terms of existing sets of crystal and atomic radii. After all, the bond lengths were used to determine the radii that were experimentally determined, whereas the individual radii were determined on the basis of an assumed radius for the sulfur atom.
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Notes
Chalcopyrite, CuFeS2, troilite, FeS; pyrite, FeS2, marcasite, FeS2, smithite, FeS, greigite, Fe3S4, cubanite, CuFe2S3; anilite, Cu7S4; vaesite, CuS2, chalcocite, Cu2S, villamanite, CuS2, vaesite, NiS2, millerite, NiS and heazelwoodite, Ni2S3.
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Acknowledgements
GVG thanks Virginia Tech for providing generous travel funds since his retirement in 2000, NLR acknowledges NSF EAR-1118691, and DFC acknowledges financial support by the Chemical Sciences, Geosciences and Biosciences Division, Office of Basic Energy Sciences, Office of Science, US Department of Energy through Grant DE-FG02-97ER14751.
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Gibbs, G.V., Ross, N.L. & Cox, D.F. Sulfide bonded atomic radii. Phys Chem Minerals 44, 561–566 (2017). https://doi.org/10.1007/s00269-017-0883-4
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DOI: https://doi.org/10.1007/s00269-017-0883-4