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85087251876
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note
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0001068368
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2 groups, but this example nevertheless illustrates how the orientation of functional groups is important in determining the line strength and how randomization of orientations reduces the line strength, since cos θ and cos 3θ vanish in an unweighted average over all θ .
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Measurements on mixed monolayers of normal and deuterated alkanethiols on gold and silver (Bain, C. D.; Davies, P. B.; Ong, T. H.; Ward, R. N.; Brown, M. A. Langmuir 1991, 7, 1563) showed a linear relationship between the fitted line strength and the mole fraction of the normal alkanethiol, which validates the model used to fit SF spectra.
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47
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85087252610
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note
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5 fell sufficiently close to 62 Ä2 for inclusion in this comparison.
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48
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2242422416
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note
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29 but is unlikely to be a significant factor here for two reasons. First, conformational disorder tends to reduce the anisotropy in the polarizability of the hydrocarbon chains. The headgroup is believed to be polymer-like and hence optically isotropic. Second, the anisotropy of the layer disappears for chains tilted at the magic angle of 54°. Assuming that the monolayers have a density close to that of a liquid hydrocarbon, the average chain tilts fall within about 15° of the magic angle.
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53
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85087252607
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note
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c from eq 5 (see ref 7).
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