2015
DOI: 10.1088/0953-4075/48/24/244010
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On the calculation of x-ray scattering signals from pairwise radial distribution functions

Abstract: We derive a formulation for evaluating (time-resolved) X-ray scattering signals of solvated chemical systems, based on pairwise radial distribution functions, with the aim of this formulation to accompany molecular dynamics simulations. The derivation is described in detail to eliminate any possible ambiguities, and the result includes a modification to the atom-type formulation which to our knowledge is previously unaccounted for. The formulation is numerically implemented and validated.

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Cited by 44 publications
(43 citation statements)
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“…As Fig. S2 shows, in the lim- For the isotropic case, ∆S cage was calculated from the RDFs of the solute-solvent atom pairs (Dohn et al, 2015), as further described in the SOI, while it was not necessary to include this term in the analysis of the anisotropic signal, given the good quality of the fit without the inclusion. Finally, ∆S solvent describes the changes arising from the heating of the bulk water and its calculation is detailed in the SOI.…”
Section: Resultsmentioning
confidence: 99%
“…As Fig. S2 shows, in the lim- For the isotropic case, ∆S cage was calculated from the RDFs of the solute-solvent atom pairs (Dohn et al, 2015), as further described in the SOI, while it was not necessary to include this term in the analysis of the anisotropic signal, given the good quality of the fit without the inclusion. Finally, ∆S solvent describes the changes arising from the heating of the bulk water and its calculation is detailed in the SOI.…”
Section: Resultsmentioning
confidence: 99%
“…These experimentally derived solvation shell signals can be directly compared with the results of the BOMD simulations. Figure 3c shows the difference scattering signal calculated35 from the BOMD simulations at the same 500 fs and 3 ps time delays. The similarity between measured and calculated solvation shell signals provides strong support for guiding the interpretation of the measurements by the structural findings of the simulations.…”
Section: Resultsmentioning
confidence: 99%
“…The ratio between the axial and the equatorial Co-N distances is defined as η. In the LS state the average η is 0.91 (0.88 and 0.92 for the two ligands, with the difference due to the Jahn-Teller effect), while in the HS state η increases to 0.95 (for both ligands).The cage contribution ∆S cage (Q) to the simulated signal was calculated from the Radial Distribution Functions of the solute-solvent atom pairs[32] determined through classical molecular dynamics (MD) simulations[31]. The contribution from changes in the solute structure and solvation cage are related 1:1 and can therefore be combined under the term "structure", ∆S str.…”
mentioning
confidence: 99%