Neutron scattering analysis

F.D. Brooks, A. Buffler, M.S. Allie, K. Bharuth-Ram, M.R. Nchodu and B.R.S. Simpson, Determination of HCNO concentrations by fast neutron scattering analysis, Nucl. Instrum. Methods Phys. Res. Sec. A, 410(2) (1998) 319-328. 

Framework system for connecting programs for neutron scattering analysis... 

Smith J, Cusack S, Tidor B, Karplus M Inelastic neutron scattering analysis of low-frequency motions in proteins Harmonic and damped harmonic models of bovine pancreatic trypsin inhibitor. J. Chem. Phys. 1990,93 2974—2991. 

S. Cusack, J. Smith, J. Finney, B. Tidor, and M. Karplus, J. Mol. Biol., 202, 903 (1988). Inelastic Neutron Scattering Analysis of Picosecond Internal Protein Dynamics. 

Liu, Y., Chen, S.-H., Huang, J. S. (1998). Small-angle neutron scattering analysis of the structure and interaction of triblock copolymer micelles in aqueous solution. Macromolecules, 31, 2236-2244. 

There are many different data analysis schemes to estimate the structure and molecular parameters of polymers from the neutron scattering data. Herein, we will present several connnon methods for characterizing the scattering profiles, depending only on the applicable q range. These methods, which were derived based on different assumptions, have... 

The analysis of steady-state and transient reactor behavior requires the calculation of reaction rates of neutrons with various materials. If the number density of neutrons at a point is n and their characteristic speed is v, a flux effective area of a nucleus as a cross section O, and a target atom number density N, a macroscopic cross section E = Na can be defined, and the reaction rate per unit volume is R = 0S. This relation may be appHed to the processes of neutron scattering, absorption, and fission in balance equations lea ding to predictions of or to the determination of flux distribution. The consumption of nuclear fuels is governed by time-dependent differential equations analogous to those of Bateman for radioactive decay chains. The rate of change in number of atoms N owing to absorption is as follows ... 

If the displacements of the atoms are given in terms of the harmonic normal modes of vibration for the crystal, the coherent one-phonon inelastic neutron scattering cross section can be analytically expressed in terms of the eigenvectors and eigenvalues of the hannonic analysis, as described in Ref. 1. 

Direct experiment-simulation quasielastic neutron scattering comparisons have been perfonned for a variety of small molecule and polymeric systems, as described in detail in Refs. 4 and 18-21. The combination of simulation and neutron scattering in the analysis of internal motions in globular proteins was reviewed in 1991 [3] and 1997 [4]. 

Figure 7 Experimental and theoretical inelastic neutron scattering spectrum from staphylococcal nuclease at 25 K. The experimental spectrum was obtained on the TFXA spectrometer at Oxford. The calculated spectrum was obtained from a normal mode analysis of the isolated molecule. (From Ref. 28.)...

See, for example, Feigin L. A. and Svergun D. I., Structure Analysis by Small-Angle X-ray and Neutron Scattering, Plenum Press, New York, 1987. 

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