Gd reference layer method for the case of two reflectometry experiments

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The article presents an approach to determining the modulus and phase of the neutron reflectance using a gadolinium reference layer, which allows reducing the number of necessary experiments from three to two. It is shown that it is possible to reconstruct the reflection amplitude based on the results of only two reflectometric experiments. However, when conducting two experiments, calculating the reflection amplitude is complicated by the fact that there will be two solutions instead of one. Therefore, it is necessary to evaluate the obtained results, since one of these solutions will have no physical meaning. The results are evaluated based on a priori information about the sample or with the help of additional modeling of the interaction potential. The theory of the proposed approach is described in detail, and it is tested on model numerical calculations for the Al2O3//Ti film. Experimental results for the test samples Al2O3//Nb and Si//Cr/Fe/Cr are presented. A comparison of the moduli and phases of the reflectivity obtained by processing three and two experiments is carried out. It was found that under conditions of poor statistics, conducting two experiments is preferable, since the solution, in this case, contains fewer artifacts of mathematical processing.

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Sobre autores

Е. Nikova

Miheev Institute of Metal Physics UB RAS

Autor responsável pela correspondência
Email: e.nikova@mail.ru
Rússia, Ekaterinburg

Yu. Salamatov

Miheev Institute of Metal Physics UB RAS

Email: e.nikova@mail.ru
Rússia, Ekaterinburg

Е. Kravtsov

Miheev Institute of Metal Physics UB RAS

Email: e.nikova@mail.ru
Rússia, Ekaterinburg

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2. Fig. 1. Possible options for representing the neutron reflection amplitudes for two experiments as two circles in the complex plane.

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3. Fig. 2. Model reflectometric curves for the Al2O3//Ti(500 Å)/V(20 Å)/Gd(50 Å)V(50 Å) structure for two incidence angles of 3.3 mrad (1) and 10.1 mrad (2).

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4. Fig. 3. Moduli (a) and phases (b) of the reflection amplitude of the Al2O3//Ti(500 Å)/V(20 Å) system in comparison with model data: first solution (1), second solution (2), model data (3).

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5. Fig. 4. Experimental reflectometric curves for the Al2O3// Nb(500 Å)/V(15 Å)/ Gd(100 Å)/V(150 Å) system at neutron beam incidence angles of 5.0 mrad (1); 8.8 mrad (2).

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6. Fig. 5. Moduli (a) and phases (b) of the reflection amplitude of the Al2O3// Nb(500 Å)/V(15 Å) system in comparison with data from three reflectometric experiments: first solution (1), second solution (2), data from three experiments (3).

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7. Fig. 6. Experimental reflectometric curves for the Si//Cr(287 Å)/Fe(299 Å)/Cr(186 Å)/Gd(50 Å)/V(50 Å) system at neutron beam incidence angles of 3.1 mrad (1); 9.0 mrad (2).

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8. Fig. 7. Moduli (a) and phases (b) of the reflection amplitude of the Si//Cr(287 Å)/Fe(299 Å)/Cr(186 Å) system: first solution (1), second solution (2). Mixed solutions are shown as an example.

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9. Fig. 8. Moduli (a) and phases (b) of the reflection amplitude of the Si//Cr(287 Å)/Fe(299 Å)/Cr(186 Å) system: data from two experiments (1), data from three experiments (2).

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