# Interference in electron–molecule elastic scattering

## Abstract

General formulas describing the multiple scattering of electron by polyatomic molecules have been derived within the framework of the model of non-overlapping atomic potentials. These formulas are applied to different carbon molecules, both for fixed-in-space and randomly oriented molecules. The molecular continuum wave function is represented as a plane wave plus a linear combination of the Green's functions for free motion and the derivatives of these functions. Far from the target the electron spherical waves interfere as in the case of the Young's double slits experiment. This interference manifests itself as diffraction oscillations in the differential and total cross sections for elastic electron scattering. The amplitude of electron scattering by a molecule is defined by the phase shifts for each of the atoms forming the target and its geometry. The numerical calculation of the scattering amplitude in closed form (rather than in the form of S-matrix expansion) is reduced to solving a system of algebraic equations. The number of atoms in a molecule and the atomic phase shifts for the orbital angular momenta included in the calculation define the number of equations.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1543924

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Physics. B, Atomic, Molecular and Optical Physics

- Additional Journal Information:
- Journal Volume: 51; Journal Issue: 20; Journal ID: ISSN 0953-4075

- Publisher:
- IOP Publishing

- Country of Publication:
- United States

- Language:
- English

- Subject:
- Optics; Physics

### Citation Formats

```
Baltenkov, A. S., Manson, S. T., and Msezane, A. Z.
```*Interference in electron–molecule elastic scattering*. United States: N. p., 2018.
Web. doi:10.1088/1361-6455/aae023.

```
Baltenkov, A. S., Manson, S. T., & Msezane, A. Z.
```*Interference in electron–molecule elastic scattering*. United States. doi:10.1088/1361-6455/aae023.

```
Baltenkov, A. S., Manson, S. T., and Msezane, A. Z. Thu .
"Interference in electron–molecule elastic scattering". United States. doi:10.1088/1361-6455/aae023.
```

```
@article{osti_1543924,
```

title = {Interference in electron–molecule elastic scattering},

author = {Baltenkov, A. S. and Manson, S. T. and Msezane, A. Z.},

abstractNote = {General formulas describing the multiple scattering of electron by polyatomic molecules have been derived within the framework of the model of non-overlapping atomic potentials. These formulas are applied to different carbon molecules, both for fixed-in-space and randomly oriented molecules. The molecular continuum wave function is represented as a plane wave plus a linear combination of the Green's functions for free motion and the derivatives of these functions. Far from the target the electron spherical waves interfere as in the case of the Young's double slits experiment. This interference manifests itself as diffraction oscillations in the differential and total cross sections for elastic electron scattering. The amplitude of electron scattering by a molecule is defined by the phase shifts for each of the atoms forming the target and its geometry. The numerical calculation of the scattering amplitude in closed form (rather than in the form of S-matrix expansion) is reduced to solving a system of algebraic equations. The number of atoms in a molecule and the atomic phase shifts for the orbital angular momenta included in the calculation define the number of equations.},

doi = {10.1088/1361-6455/aae023},

journal = {Journal of Physics. B, Atomic, Molecular and Optical Physics},

issn = {0953-4075},

number = 20,

volume = 51,

place = {United States},

year = {2018},

month = {9}

}