D Roach
The interpretation of polycrystalline coherent inelastic neutron scattering from aluminium
Roach, D; Ross, DK; Gale, JD; Taylor, JW
Authors
DK Ross
JD Gale
JW Taylor
Abstract
A new approach to the interpretation and analysis of coherent inelastic neutron scattering
from polycrystals (poly-CINS) is presented. Here we describe a simulation of the one-phonon coherent inelastic scattering from a lattice model of an arbitrary crystal system. The one-phonon component is characterized by sharp features e.g. determined by boundaries of the (Q, omega) regions where one-phonon scattering is allowed. These features may be identified with the same features apparent in the measured total coherent inelastic cross-section, the other components of which(multiphonon or multiple scattering) show no sharp features. The parameters of the model can then be relaxed to improve the fit between model and experiment. This method is of particular interest where
no single crystals are available. To test the approach, we have measured the poly-CINS for polycrystalline aluminium using the MARI spectrometer (ISIS) because both lattice dynamical models and measured dispersion curves are available for this material. The models used include a
simple Lennard-Jones model fitted to the elastic constants of this material plus a number of Embedded Atom Method (EAM) force fields. The agreement obtained suggests that the method demonstrated should be effective in developing models for other materials where single crystal dispersion curves are not available.
Citation
Roach, D., Ross, D., Gale, J., & Taylor, J. (2013). The interpretation of polycrystalline coherent inelastic neutron scattering from aluminium. Journal of Applied Crystallography, 46, 1755-1770. https://doi.org/10.1107/S0021889813023728
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2013 |
Deposit Date | Aug 27, 2013 |
Publicly Available Date | Apr 5, 2016 |
Journal | Journal Of Applied Crystallography |
Print ISSN | 0021-8898 |
Publisher | International Union of Crystallography |
Peer Reviewed | Peer Reviewed |
Volume | 46 |
Pages | 1755-1770 |
DOI | https://doi.org/10.1107/S0021889813023728 |
Keywords | polycrystalline; coherent inelastic neutron scattering |
Publisher URL | http://dx.doi.org/10.1107/S0021889813023728 |
Additional Information | References : Born, M. & Huang, K. (1956). Dynamical Theory of Crystal Lattices, Oxford University Press, Oxford. Budi, A., Henry, D. J., Gale, J. D., Yarovsky, I. (2009). J. Phys.: Condens. Matter 21 144206. Clark, S. J., Segall, M. D., Pickard, C. J., Hasnip, P. J., Probert, M. J., Refson, K. and Payne M. C. (2005). Zeitschrift Fur Kristallographie 220(5-6), 567. Cleri, F. & Rosato, V. (1993). Phys. Rev. B 48 22. DANSE project. Software (2010). URL: http://wiki.danse.us. Daw, M. S. & Baskes, M. I. (1983). Phys. Rev. Lett. 50 1285. Egelstaff, P. A. & Poole M. J. (1969). Experimental Neutron Thermalisation, Pergamon Press. Gale, J. D. & Rohl, A. L. (2003). Molecular Simulation, 29, 291-341. Gilat, G. & Nicklow, R. M. (1966). Phys Rev, 143, 487. Accepted for Journal of Applied Crystallography (2013) 31 Hafner, J. & Schmuck, P. (1974) Phys Rev B, 9, 4138. Halicio!lu, T. & Pound, G. M. (1975). Phys. Stat. Sol. 30, 619. Jasper, A. W., Schultz, N. E., Truhlar, D. G. (2005). J. Phys. Chem. B 109 3915 (2005) Kang, J. K., Ylee, J., Muller, R. P., Goddard, W. A. (2004). J. Chem. Phys. 121 10623. Kearley, G. J. (1995) Nucl. Instr. and Meth. in Phys. Res. A 354, 53-58 Lefmann, K. & Nielsen, K. (1999). Neutron News 10, 20. Lennard-Jones J. E. & Ingham, A. E. (1925). Proc. Roy. Soc A107, 636. MANTID project. Software (2012) URL: http://download.mantidproject.org/. Mei, J. & Davenport, J. W. (1992). Phys. Rev. B 46 21. Mitchell, P. C. H., Parker, S. F. Ramirez-Cuesta, A. J. and Tomkinson, J. (2005) Vibrational Spectroscopy with Neutrons, World Scientific, Singapore. Mishin, Y., Farkas, D., Mehl, M. J., Papaconstantopoulos, D. A. (1999). Phys Rev B, 59, 3393. Nye, J. F. (1957) Physical Properties of Crystals, Oxford University Press. Parlinski, K. (2003). PHONON software. Pham, H. H., Williams, M. E., Mahaffey, P., Radovic, M., Arroyave, R., Cagin, T. (2011). Phys. Rev. B 84, 064101. Roach, D. L., Ross, D. K., Gale, J. D. (2007). Neutron News 18 21. Roach, D. L., PhD Thesis (2006), University of Salford. Roach, D. L., Heuser B., Ross, D. K., Garba, M. T., Baldissin, G., Gale, J.D., Abernathy, D. L. (2013). Experimental determination of the Q-dependence of in-plane vibrations in graphite – in preparation. Roach, D. L., Parker, S.F., Ross, D.K., Gonzalez-Velez, H. M.T.Garba, Gale, J.D., Russina, M. and Bewley, R. I.(2013). The application of poly-CINS to the assignment of vibrational modes in polycrystalline C60 – in preparation. Buckley, A., Roach, D. L., Garba, M.T. , Buckley, C.E. Ross, D.K., Gale, J.D., Sheppard, D.A. and Taylor, J. W., (2013). A Q-dependent model for the vibrational modes in MgD2 using poly-CINS - in preparation. Ross, D.K. (1973). J. Phys. C 6, 3525. Sanchez-Portal, D., Artacho, E., Soler, J. M. (1995). Solid State Commun. 95, 685. Schuth, F., Bogdanovic, B., Felderhoff, M. (2004). Chem. Commun. 20 2249. Sheng, H. W., Kramer, M. J., Cadien, A., Fujita, T., Chen M. W. (2011). Phys. Rev. B 83, 134118. Stedman, R. & Nilsson, G. (1966). Phys Rev. 162, 549. Streitz, F. H. & Mintmire, J. W. (1994). Phys. Rev. B 50 11996. Squires, G. L. (1978). Introduction to the Theory of Thermal Neutron Scattering Cambridge University Press. Sutton, A. P. & Chen, J. (1990). Phil. Mag. Lett. 61 139. Tang, X., Li, C. W., Fultz, B. (2010). Phys. Rev. B 82, 184301. Taylor, A. D., Arai, M., Bennington, S. M., Bowden, Z. A., Osborn, R., Andersen, K. et al (1991). Proc. ICANS XI, Tsukuba, KEK Report 90-25. Turchin, V. F. (1965). Slow Neutrons IPST, Jerusalem. Van Hove, L. (1954). Phys. Rev. 95, 249. Willendrup, P., Farhi E. and Lefmann K. (2004). Physica B, 350 735. Funders : Engineering and Physical Sciences Research Council (EPSRC) Grant Number: EP/G049130 |
Files
poly-CINS_supplementary.pdf
(1.5 Mb)
PDF
Version
Supplementary Information
poly-CINS.pdf
(2.3 Mb)
PDF
Licence
http://creativecommons.org/licenses/by/3.0/
Publisher Licence URL
http://creativecommons.org/licenses/by/3.0/