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Merge branch 'master' of github:mlund/faunus
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mlund committed Jun 1, 2023
2 parents 36d10d1 + 04cbd68 commit 630540a
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1 change: 1 addition & 0 deletions .zenodo.json
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}
],
"contributors": [
{"type": "Researcher", "name": "Isabel Vinterbladh", "orcid": "0009-0007-0801-2611"},
{"type": "Researcher", "name": "Jakub Smutek"},
{"type": "Researcher", "name": "Marco Polimeni", "orcid": "0000-0002-9670-7232"},
{"type": "Researcher", "name": "Vidar Aspelin", "orcid": "0000-0002-6888-1591"},
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39 changes: 39 additions & 0 deletions docs/_docs/analysis.md
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Expand Up @@ -351,6 +351,45 @@ Calculates average molecular multipolar moments and their fluctuations.
-------------- | ----------------------
`nstep` | Interval between samples.

The output from the multipole analysis gives the following:
`multipole` | Description
-------------- | ----------------------
`C` | Capacitance, eV⁻¹
`Z` | Charge/Valency, e
`Z2` | Squared charge/valency, e²
`μ` | Dipole moment, eÅ
`μ2` | Squared dipole moment, (eÅ)²

The capacitance, $C$, is defined accordingly:

$$
c = < z² > - < z >²
$$

Where $Z$ is defined as the average charge/valency:

$$
< z > = < \sum_i z_i >
$$

This gives that $Z2$ is just the squared average charge/valency:

$$
< z² > = < \sum_i z²_i >
$$

Continuing, the dipole moment, $μ$ , is defined as:

$$
μ = < \mu > = < | \sum_i z_i (r_i - r_{cm}) | >
$$

Lastly, the $μ2$ is defined as the mean squared dipole moment:

$$
μ2 = < \mu² >
$$

### Multipole Moments

For a range of atoms within a molecular group of given index,
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2 changes: 1 addition & 1 deletion docs/_docs/docs.md
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Expand Up @@ -15,7 +15,7 @@ are available.
The development is a team effort with, in reverse chronological order,
many valiant contributions from:

_Jakub Smutek, Marco Polimeni,
_Isabel Vinterbladh, Jakub Smutek, Marco Polimeni,
Vidar Aspelin, Stefan Hervø-Hansen,
Richard Chudoba, Niels Kouwenhoven,
Coralie Pasquier, Lukáš Sukeník,
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