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FY2010 - Oak Ridge National Laboratory

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Director’s R&D Fund—<br />

Neutron Sciences<br />

Results and Accomplishments<br />

The results of this project are grouped in terms of the manuscripts prepared during the subcontract period<br />

as follows. In Ref. 1 we report a novel Monte Carlo algorithm developed to accurately calculate the spinecho<br />

small-angle neutron scattering (SESANS) spectra. In Ref. 2 we report on a theoretical calculation to<br />

investigate the spectral features of SESANS for liquid particles under both repulsive and attractive<br />

intermolecular interactions. We found that the SESANS correlation function provides clear spectral<br />

features that elucidate the intermolecular correlation among interacting particles. In Ref. 3 we compare<br />

spectra between that of a liquid of uniform hard spheres and one of nonuniform hollow hard spheres. This<br />

work shows that due to the distinguishable length scales between intramoleuclar and intermolecular<br />

spatial correlations, it is possible to recognize the intramoleulcar scattering contribution to the SESANS<br />

as the density is varied. In Ref. 4 we explore the sensitivity of SESANS from a theoretical standpoint, and<br />

the results suggest there is a physical interpretation of the spatial variable in the SESANS correlation<br />

function. In Ref. 5 we investigate the effect of the interparticle potential with broken centrosymmetry on<br />

liquid structure and find that centrosymmetry particles and broken centrosymmetry particles exhibit<br />

different spectral features in the SESANS data over a wide range of dimension, consistent within their<br />

pair correlation functions. In Ref. 6 we find that it is conceptually important to fill in the “gap” in the<br />

theoretical calculation of γ(r) because these various theoretical approaches provide multiple tools for<br />

future research. And finally in Ref. 7 we will report on how our Monte Carlo algorithm can be extended<br />

to compute the SESANS correlation function of binary hard sphere particles of different diameters.<br />

Information Shared<br />

Li, X., C.‐Y. Shew, Y. Liu, R. Pynn, E. Liu, K. W. Herwig, J. L. Robinson, and W.‐R. Chen. 2010.<br />

“Theoretical studies on the structure of interacting colloidal suspensions by spin‐echo small angle<br />

neutron scattering.” J. Chem. Phys. 132, 174509 (2010).<br />

Shew, C.-Y, and W.-R. Chen. 2010. “A Monte Carlo algorithm for computing SESANS correlation<br />

functions in real space: Hard sphere liquids.” J. Chem. Phys. 132, 044906.<br />

(1) Shew, C.-Y., and W.-R. Chen. 2010. “A Monte Carlo algorithm for computing SESANS<br />

correlation functions in real space: Hard sphere liquids.” Journal of Chemical Physics 132,<br />

044906.<br />

(2) Li, X., C.‐Y. Shew, Y. Liu, R. Pynn, E. Liu, K. W. Herwig, J. L. Robinson and W.‐R. Chen.<br />

2010. “Theoretical studies on the structure of interacting colloidal suspensions by spin‐echo small<br />

angle neutron scattering.” J. Chem. Phys. 132, 174509.<br />

(3) Li, X., C.‐Y. Shew, Y. Liu, R. Pynn, E. Liu, K., W. Herwig, G. S. Smith, J. L. Robertson, and<br />

W.‐R. Chen. “Prospect of characterizing interacting soft colloidal structures using spin‐echo<br />

small angle neutron scattering,” J. Chem. Phys. (to be submitted).<br />

(4) Shew, C.‐Y., and W.‐R. Chen. “Structural sensitivity of SESANS for a high‐density hard sphere<br />

liquid”, J. Chem. Phys. (to be submitted).<br />

(5) Shew, C.‐Y., and W.‐R. Chen. “Simulation of liquid structure under the broken‐centrosymmetry<br />

potential” (in preparation).<br />

(6) Shew, C.‐Y., and W.‐R. Chen. “Revisit of theoretical calculation of Debye autocorrelation<br />

function” (in preparation).<br />

(7) Shew, C.‐Y., and W.‐R. Chen. “Simulation of SESANS correlation function for binary mixtures”<br />

(in preparation).<br />

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