SMALL-ANGLE SCATTERING OF FAST POLARIZED NEUTRONS BY HEAVY NUCLEI

1956 ◽  
Vol 34 (1) ◽  
pp. 36-42 ◽  
Author(s):  
J. T. Sample

Detailed calculations have been carried out which indicate that the small-angle scattering of fast neutrons by lead depends on the polarization, or spin orientation, of the neutrons. When the scattering of neutrons whose spin vectors point upward is observed in the horizontal plane, more neutrons should be found scattered to the right than to the left. For completely polarized 3.1 Mev. neutrons, the theory predicts a maximum "right to left" intensity ratio of 14.5:1 at a scattering angle of 0.5°, the ratio decreasing to 1.6:1 at 5°, and approaching unity rapidly as the scattering angle increases.

1971 ◽  
Vol 92 (4) ◽  
pp. 553-557 ◽  
Author(s):  
K.Masood Ali ◽  
R.B. Galloway ◽  
D.G. Vass

MRS Advances ◽  
2020 ◽  
Vol 5 (29-30) ◽  
pp. 1577-1584
Author(s):  
Changwoo Do ◽  
Wei-Ren Chen ◽  
Sangkeun Lee

ABSTRACTSmall angle scattering (SAS) is a widely used technique for characterizing structures of wide ranges of materials. For such wide ranges of applications of SAS, there exist a large number of ways to model the scattering data. While such analysis models are often available from various suites of SAS data analysis software packages, selecting the right model to start with poses a big challenge for beginners to SAS data analysis. Here, we present machine learning (ML) methods that can assist users by suggesting scattering models for data analysis. A series of one-dimensional scattering curves have been generated by using different models to train the algorithms. The performance of the ML method is studied for various types of ML algorithms, resolution of the dataset, and the number of the dataset. The degree of similarities among selected scattering models is presented in terms of the confusion matrix. The scattering model suggestions with prediction scores provide a list of scattering models that are likely to succeed. Therefore, if implemented with extensive libraries of scattering models, this method can speed up the data analysis workflow by reducing search spaces for appropriate scattering models.


1973 ◽  
Vol 13 (4) ◽  
pp. 867-876 ◽  
Author(s):  
L. Drigo ◽  
C. Manduchi ◽  
G. Moschini ◽  
M. T. Russo-Manduchi ◽  
G. Tornielli ◽  
...  

2016 ◽  
Vol 49 (1) ◽  
pp. 260-276 ◽  
Author(s):  
Salvino Ciccariello ◽  
Pietro Riello ◽  
Alvise Benedetti

Film-like and thread-like systems are, respectively, defined by the property that one of the constituting homogenous phases has a constant thickness (δ) or a constant normal cross section (of largest chord δ). The stick probability function of this phase, in the limit δ → 0, naturally leads to the definition of the correlation function (CF) of a surface or of a curve. This CF closely approximates the generating stick probability function in the range of distances larger than δ. The surface and the curve CFs, respectively, behave as 1/rand as 1/r2asrapproaches zero. This result implies that the relevant small-angle scattering intensities behave as {\cal P}_{{\cal S}}/q^2 or as {\cal P}_{{\cal C}}/q in the intermediate range of the scattering vector magnitude (q) and as {\cal P}/q^4 in the outermostqrange. Similarly to {\cal P}, pre-factors {\cal P}_{{\cal S}} and {\cal P}_{{\cal C}} simply depend on some structural parameters. Depending on the scale resolution it may happen that a given sample looks thread like at large scale, film like at small scale and particulate at a finer scale. An explicit example is reported. As a practical illustration of the above results, the surface and the curve CFs of some simple geometrical shapes have been explicitly evaluated. In particular, the CF of the right circular cylinder is evaluated. Its limits, as the height or the diameter the cylinder approaches zero, are shown to coincide with the CFs of a circle and of a linear segment, respectively.


1968 ◽  
Vol 176 (4) ◽  
pp. 1405-1415 ◽  
Author(s):  
F. T. Kuchnir ◽  
A. J. Elwyn ◽  
J. E. Monahan ◽  
A. Langsdorf ◽  
F. P. Mooring

1955 ◽  
Vol 100 (5) ◽  
pp. 1315-1317 ◽  
Author(s):  
S. E. Darden ◽  
R. B. Perkins ◽  
R. B. Walton

1973 ◽  
Vol 111 (2) ◽  
pp. 237-249 ◽  
Author(s):  
W. Bucher ◽  
C. Hollandsworth ◽  
R. Lamoreaux

1977 ◽  
Vol 18 (6) ◽  
pp. 193-197
Author(s):  
V. Giordano ◽  
C. Manduchi ◽  
M. T. Russo-Manduchi ◽  
G. F. Segato

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