Exact solution of the stochastic Liouville equation and application to an evaluation of the neutron scattering function

1985 ◽  
Vol 31 (4) ◽  
pp. 2479-2487 ◽  
Author(s):  
V. M. Kenkre ◽  
D. W. Brown
Keyword(s):  
Exact Solution ◽  
Neutron Scattering ◽  
Liouville Equation ◽  
Scattering Function ◽  
Stochastic Liouville Equation

Calculation of the energy-averaged scattering function from high resolution low-energy neutron scattering data

1983 ◽  
Vol 27 (5) ◽  
pp. 1913-1926 ◽  
Author(s):  
C. H. Johnson ◽  
N. M. Larson ◽  
C. Mahaux ◽  
R. R. Winters
Keyword(s):  
High Resolution ◽  
Neutron Scattering ◽  
Low Energy ◽  
Scattering Data ◽  
Scattering Function ◽  
Energy Neutron

scholarly journals Contrast variation by dynamic nuclear polarization and time-of-flight small-angle neutron scattering. I. Application to industrial multi-component nanocomposites

2016 ◽  
Vol 49 (6) ◽  
pp. 2036-2045 ◽  
Author(s):  
Yohei Noda ◽  
Satoshi Koizumi ◽  
Tomomi Masui ◽  
Ryo Mashita ◽  
Hiroyuki Kishimoto ◽  
...  
Keyword(s):  
Form Factor ◽  
Binary Mixture ◽  
Neutron Scattering ◽  
Dynamic Nuclear Polarization ◽  
Small Angle ◽  
Ternary Mixture ◽  
Small Angle Neutron Scattering ◽  
Nuclear Polarization ◽  
Scattering Function ◽  
Contrast Variation

Dynamic nuclear polarization (DNP) at low temperature (1.2 K) and high magnetic field (3.3 T) was applied to a contrast variation study in small-angle neutron scattering (SANS) focusing on industrial rubber materials. By varying the scattering contrast by DNP, time-of-flight SANS profiles were obtained at the pulsed neutron source of the Japan Proton Accelerator Research Complex (J-PARC). The concentration of a small organic molecule, (2,2,6,6-tetramethylpiperidine-1-yl)oxy (TEMPO), was carefully controlled by a doping method using vapour sorption into the rubber specimens. With the assistance of microwave irradiation (94 GHz), almost full polarization of the paramagnetic electronic spin of TEMPO was transferred to the spin state of hydrogen (protons) in the rubber materials to obtain a high proton spin polarization (PH). The following samples were prepared: (i) a binary mixture of styrene–butadiene random copolymer (SBR) with silica particles (SBR/SP); and (ii) a ternary mixture of SBR with silica and carbon black particles (SBR/SP/CP). For the binary mixture (SBR/SP), the intensity of SANS significantly increased or decreased while keeping itsqdependence forPH= −35% orPH= 40%, respectively. Theqbehaviour of SANS for the SBR/SP mixture can be reproduced using the form factor of a spherical particle. The intensity at lowq(∼0.01 Å−1) varied as a quadratic function ofPHand indicated a minimum value atPH= 30%, which can be explained by the scattering contrast between SP and SBR. The scattering intensity at highq(∼0.3 Å−1) decreased with increasingPH, which is attributed to the incoherent scattering from hydrogen. For the ternary mixture (SBR/SP/CP), theqbehaviour of SANS was varied by changingPH. AtPH= −35%, the scattering maxima originating from the form factor of SP prevailed, whereas atPH= 29% andPH= 38%, the scattering maxima disappeared. After decomposition of the total SANS according to inverse matrix calculations, the partial scattering functions were obtained. The partial scattering function obtained for SP was well reproduced by a spherical form factor and matched the SANS profile for the SBR/SP mixture. The partial scattering function for CP exhibited surface fractal behaviour according toq−3.6, which is consistent with the results for the SBR/CP mixture.

Temperature dependence of the dynamic scattering function in glycerol studied by quasi-elastic slow neutron scattering

2002 ◽  
Vol 74 (0) ◽  
pp. s1342-s1344 ◽  
Author(s):  
I. Padureanu ◽  
R.E. Lechner ◽  
D. Aranghel ◽  
A. Radulescu ◽  
A. Desmedt ◽  
...  
Keyword(s):  
Neutron Scattering ◽  
Temperature Dependence ◽  
Slow Neutron ◽  
Scattering Function ◽  
Dynamic Scattering
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