Error analysis for small angle neutron scattering datasets using Bayesian inference

Bayesian Analysis

Volumn 5, Issue 1, 2010, Pages 1-34

  Hogg, Charles R ^a   Kadane, Joseph B ^a   Lee, Jong Soo ^a,b   Majetich, Sara A ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79956335227     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/10-BA501     Document Type: Article

References (24)

1. Agostini, G. D. (2003). Bayesian Reasoning in Data Analysis: A Critical Introduction. World Scientific Publishing Company.
2. Bernhoeft, N. (1999). "Geometrical effects in diffraction analysis." Acta Crystallo-graphica. Section A, Foundations of Crystallography, 55(Part 2 Number 2): 274-288.
3. Carr, D., ported by Nicholas Lewin-Koh, and Maechler, M. (2008). hexbin: Hexagonal Binning Routines. R package version 1.18.0.
4. Glinka, C. J., Barker, J. G., Hammouda, B., Krueger, S., Moyer, J. J., and Orts, W. J. (1998). "The 30 m Small-Angle Neutron Scattering Instruments at the National Institute of Standards and Technology." J. Appl. Cryst., 31(3): 430-445.
5. Hammouda, B. (2008). "The SANS Toolbox." http://www.ncnr.nist.gov/staff/hammouda/the_SANS_toolbox.pdf.
6. Hengartner, N. (2008). "Statistical Analysis of Neutron Scattering Experiments." 5th LANSCE Neutron School 2008.
7. Hogg, C. R. (2009). "Bayesian SANS MCMC." http://lib.stat.cmu.edu/modules.php?op=modload"&name=Downloads"&file=index"&req=viewdownloaddetails" &lid=931"&ttitle=SANS.
8. Kittel, C. (2004). Introduction to Solid State Physics. Wiley, 8 edition.
9. Kline, S. R. (2006). "Reduction and analysis of SANS and USANS data using IGOR Pro." Journal of applied crystallography, 39: 895-900.
10. Lindley, D. V. (2006). Understanding Uncertainty. Wiley-Interscience, 1 edition.
11. Luttinger, J. M. and Tisza, L. (1946). "Theory of Dipole Interaction in Crystals." Physical Review, 70(11-12): 954.
12. Michels, A., Viswanath, R. N., Barker, J. G., Birringer, R., and Weissmller, J. (2003). "Range of Magnetic Correlations in Nanocrystalline Soft Magnets." Physical Review Letters, 91(26): 267204.
13. Michels, A. and Weissmuller, J. (2008). "Magnetic-field-dependent small-angle neutron scattering on random anisotropy ferromagnets." Reports on Progress in Physics, 71(6): 066501.
14. Murray, C. B., Kagan, C. R., and Bawendi, M. G. (1995). "Self-Organization of CdSe Nanocrystallites into Three-Dimensional Quantum Dot Superlattices." Science, 270(5240): 1335-1338.
15. Narayanan, S.,Wang, J., and Lin, X. M. (2004). "Dynamical Self-Assembly of Nanocrys-tal Superlattices during Colloidal Droplet Evaporation by in situ Small Angle X-Ray Scattering." Physical Review Letters, 93(13): 135503.
16. R Development Core Team (2008). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0. URL http://www.R-project.org
17. Sachan, M., Bonnoit, C., Majetich, S. A., Ijiri, Y., Mensah-Bonsu, P. O., Borchers, J. A., and Rhyne, J. J. (2008). "Field evolution of magnetic correlation lengths in epsilon-Co nanoparticle assemblies." Applied Physics Letters, 92(15): 152503-3.
18. Smith, B. J. (2007). "boa: An R Package for MCMC Output Convergence Assessment and Posterior Inference." Journal of Statistical Software, 21(11): 1-37.
19. Squires, G. L. (1997). Introduction to the Theory of Thermal Neutron Scattering. Dover Publications.
20. Stoner, E. C. and Wohlfarth, E. P. (1948). "A mechanism of magnetic hysteresis in heterogeneous alloys." Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), 240(826): 599-642.
21. Talapin, D. V., Shevchenko, E. V., Kornowski, A., Gaponik, N., Haase, M., Rogach, A. L., and Weller, H. (2001). "A New Approach to Crystallization of CdSe Nanopar-ticles into Ordered Three-Dimensional Superlattices." Advanced Materials, 13(24): 1868.
22. Van Hove, L. (1954). "Correlations in Space and Time and Born Approximation Scat-tering in Systems of Interacting Particles." Physical Review, 95(1): 249. URL http://link.aps.org/abstract/PR/v95/p249 7
23. Yamamoto, K., Majetich, S. A., McCartney, M. R., Sachan, M., Yamamuro, S., and Hirayama, T. (2008). "Direct visualization of dipolar ferromagnetic domain structures in Co nanoparticle monolayers by electron holography." Applied Physics Letters, 93(8): 082502-3.
24. Yeomans, J. M. (1992). Statistical Mechanics of Phase Transitions. Oxford University Press, USA.