# Spherical sector model for describing the experimental small-angle neutron scattering data for dendrimers

## Abstract

A new model for interpreting the results of small-angle neutron scattering from dendrimer solutions is proposed. The mathematical description is given and the theoretical small-angle scattering curves for spherical sectors with different parameters are presented. It is shown that the model proposed is in good agreement with the experimental results. Comparison of the experimental small-angle neutron scattering curves for polyallylcarbosilane dendrimers of the ninth generation with model scattering curves suggests that the inner dendrimer sphere is permeable to a solvent whose density is lower than the density of the solvent beyond the dendrimer by a factor of at least 2.

- Authors:

- Joint Institute for Nuclear Research (Russian Federation)
- Russian Academy of Sciences, Institute of Synthetic Polymer Materials (Russian Federation)
- Joint Institute for Nuclear Research (Russian Federation), E-mail: kuklin@nf.jinr.ru

- Publication Date:

- OSTI Identifier:
- 21090905

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Crystallography Reports; Journal Volume: 52; Journal Issue: 3; Other Information: DOI: 10.1134/S1063774507030303; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 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; NEUTRON DIFFRACTION; POLYMERS; SILANES; SMALL ANGLE SCATTERING; SOLVENTS

### Citation Formats

```
Rogachev, A. V., Cherny, A. Yu., Ozerin, A. N., Gordeliy, V. I., and Kuklin, A. I.
```*Spherical sector model for describing the experimental small-angle neutron scattering data for dendrimers*. United States: N. p., 2007.
Web. doi:10.1134/S1063774507030303.

```
Rogachev, A. V., Cherny, A. Yu., Ozerin, A. N., Gordeliy, V. I., & Kuklin, A. I.
```*Spherical sector model for describing the experimental small-angle neutron scattering data for dendrimers*. United States. doi:10.1134/S1063774507030303.

```
Rogachev, A. V., Cherny, A. Yu., Ozerin, A. N., Gordeliy, V. I., and Kuklin, A. I. Tue .
"Spherical sector model for describing the experimental small-angle neutron scattering data for dendrimers". United States.
doi:10.1134/S1063774507030303.
```

```
@article{osti_21090905,
```

title = {Spherical sector model for describing the experimental small-angle neutron scattering data for dendrimers},

author = {Rogachev, A. V. and Cherny, A. Yu. and Ozerin, A. N. and Gordeliy, V. I. and Kuklin, A. I.},

abstractNote = {A new model for interpreting the results of small-angle neutron scattering from dendrimer solutions is proposed. The mathematical description is given and the theoretical small-angle scattering curves for spherical sectors with different parameters are presented. It is shown that the model proposed is in good agreement with the experimental results. Comparison of the experimental small-angle neutron scattering curves for polyallylcarbosilane dendrimers of the ninth generation with model scattering curves suggests that the inner dendrimer sphere is permeable to a solvent whose density is lower than the density of the solvent beyond the dendrimer by a factor of at least 2.},

doi = {10.1134/S1063774507030303},

journal = {Crystallography Reports},

number = 3,

volume = 52,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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