ISISNeutronMuon / ISISNeutronMuon/MDANSE
[ENHANCEMENT] Update the radius of gyration job so that is relevant to SANS experiments
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- Python
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Description
**Is your feature request related to a problem? Please describe.**
Previously in #377 the weight setting of the ROG calculation was removed since it was not being used. At the time, it was unclear what the purpose of this was but now we can see that the ROG has some relevance to SANS experiments. It seems like the previous developers must have had this in mind but never implemented it. Also, the way that the weight scheme is defined in MDANSE can't be applied exactly, ROG will have to have its own modified weight scheme.
According to the Principles of Neutron Scattering from Condensed Matter, the intra-molecular scattering function can be approximated with the Guinier approximation.
$$
P(Q) \simeq \exp(-\frac{1}{3} Q^2 R_{g}^{2})
$$
$$
R_{g}^{2} = \frac{1}{B} \int_{0}^{\infty} \vert r - r_{\mathrm{com}} \vert^2 n_b (r ) d^{3} r
$$
$$
n_b (\mathbf{r} ) = \sum_{j} \bar{b_j} \delta(r - r_j)
$$
$$
B = \sum_{j} \bar{b_j}
$$
where the sum over $j$ go over the atoms of the molecule selected.
**Describe the solution you'd like**
Add the weight setting to the ROG calculation so that an ROG relevant to SANS experiments can be calculated. We might also need to adjust the job for the case where there is more than one molecule of the same type etc.
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Research direction
Start with the radius of gyration (ROG) job and review the earlier weight-setting change in #377. Define how the modified weight scheme should represent SANS scattering and how calculations should behave when multiple molecules of the same type are selected. Done means the ROG calculation supports the requested weights and the multi-molecule case is resolved.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- python
- Domain
- data
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 25/100