# Methods for calculating X-ray diffuse scattering from a crystalline medium with spheroidal quantum dots

## Abstract

Two independent approaches to calculate the angular distribution of X-ray diffusion scattering from a crystalline medium with spheroidal quantum dots (QDs) have been proposed. The first method is based on the analytical solution involving the multipole expansion of elastic strain fields beyond QDs. The second approach is based on calculations of atomic displacements near QDs by the Green’s function method. An analysis of the diffuse scattering intensity distribution in the reciprocal space within these two approaches shows that both methods yield similar results for the chosen models of QD spatial distribution.

- Authors:

- Russian Academy of Sciences, Komi Science Center, Ural Branch (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22472330

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Crystallography Reports; Journal Volume: 60; Journal Issue: 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 77 NANOSCIENCE AND NANOTECHNOLOGY; ANALYTICAL SOLUTION; ANGULAR DISTRIBUTION; ATOMIC DISPLACEMENTS; DIFFUSE SCATTERING; DIFFUSION; GREEN FUNCTION; QUANTUM DOTS; SPATIAL DISTRIBUTION; STRAINS; X-RAY DIFFRACTION

### Citation Formats

```
Punegov, V. I., E-mail: vpunegov@dm.komisc.ru, and Sivkov, D. V.
```*Methods for calculating X-ray diffuse scattering from a crystalline medium with spheroidal quantum dots*. United States: N. p., 2015.
Web. doi:10.1134/S1063774515010198.

```
Punegov, V. I., E-mail: vpunegov@dm.komisc.ru, & Sivkov, D. V.
```*Methods for calculating X-ray diffuse scattering from a crystalline medium with spheroidal quantum dots*. United States. doi:10.1134/S1063774515010198.

```
Punegov, V. I., E-mail: vpunegov@dm.komisc.ru, and Sivkov, D. V. Sun .
"Methods for calculating X-ray diffuse scattering from a crystalline medium with spheroidal quantum dots". United States.
doi:10.1134/S1063774515010198.
```

```
@article{osti_22472330,
```

title = {Methods for calculating X-ray diffuse scattering from a crystalline medium with spheroidal quantum dots},

author = {Punegov, V. I., E-mail: vpunegov@dm.komisc.ru and Sivkov, D. V.},

abstractNote = {Two independent approaches to calculate the angular distribution of X-ray diffusion scattering from a crystalline medium with spheroidal quantum dots (QDs) have been proposed. The first method is based on the analytical solution involving the multipole expansion of elastic strain fields beyond QDs. The second approach is based on calculations of atomic displacements near QDs by the Green’s function method. An analysis of the diffuse scattering intensity distribution in the reciprocal space within these two approaches shows that both methods yield similar results for the chosen models of QD spatial distribution.},

doi = {10.1134/S1063774515010198},

journal = {Crystallography Reports},

number = 2,

volume = 60,

place = {United States},

year = {Sun Mar 15 00:00:00 EDT 2015},

month = {Sun Mar 15 00:00:00 EDT 2015}

}

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