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0141625433
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note
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7 wire, the C-Si spacing is taken to be 3.15 au.
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0141625432
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To determine the charge transfer, the carbon chain, attached to the electrodes, was surrounded by a cylinder of radius 1.75 au (with ends 1.75 au from the outermost atoms), and the charge density was integrated within this cylinder. The difference between the total charge determined this way and the charge of the free carbon chain within the same cylinder was taken as the transferred charge. The value for the cylinder radius was chosen to enclose most of the density around each atom residing in π orbitals.
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The values in the bar graph are obtained as follows: We surround each atom in the free atomic chain and in the chain linked to the electrodes by a sphere of radius 1.75 au and integrate the electronic charge enclosed. Each bar height is then the difference of the charge on the corresponding atom between the chain linked to the two electrodes and the free chain. The sphere radius that is chosen is larger than half of the 2.5-au interatomic bond length, so there is some small amount of double counting of charge in the bar graph, but a radius of 1.25 au, although avoiding this double counting, would be too small to give a good picture of the charge in the π states.
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Landauer, R. Z. Phys. B 1987, 68, 217. Landauer, R. J. Phys. Condens. Matter 1989, 1, 8099. Büttiker, M.; Imry, Y.; Landauer, R.; Pinhas, S. Phys. Rev. B 1985, 31, 6207. Imry, Y. Introduction to Mesoscopic Physics; Oxford University Press: New York, 1997. Datta, S. Electronic Transport in Mesoscopic Systems; Cambridge University Press: Cambridge, U.K., 1995.
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