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Q1DWeighted v1

../_images/Q1DWeighted-v1_dlg.png

Q1DWeighted dialog.

Summary

Performs azimuthal averaging on a 2D SANS data to produce I(Q).

Properties

Name Direction Type Default Description
InputWorkspace Input MatrixWorkspace Mandatory Input workspace containing the SANS 2D data
OutputWorkspace Output MatrixWorkspace Mandatory Workspace that will contain the I(Q) data
OutputBinning Input dbl list Mandatory The new bin boundaries in the form: <math>x_1,Delta x_1,x_2,Delta x_2,dots,x_n</math>
NPixelDivision Input number 1 Number of sub-pixels used for each detector pixel in each direction.The total number of sub-pixels will be NPixelDivision*NPixelDivision.
NumberOfWedges Input number 2 Number of wedges to calculate.
WedgeAngle Input number 30 Opening angle of the wedge, in degrees.
WedgeOffset Input number 0 Wedge offset relative to the horizontal axis, in degrees.
WedgeWorkspace Output WorkspaceGroup   Name for the WorkspaceGroup containing the wedge I(q) distributions.
PixelSizeX Input number 5.15 Pixel size in the X direction (mm).
PixelSizeY Input number 5.15 Pixel size in the Y direction (mm).
ErrorWeighting Input boolean False Choose whether each pixel contribution will be weighted by 1/error^2.
AsymmetricWedges Input boolean False Choose to produce the results for asymmetric wedges.
AccountForGravity Input boolean False Take the nominal gravity drop into account.

Description

Performs azimuthal averaging for a 2D SANS data set by going through each wavelength bin of each detector pixel, determining its Q-value, and adding its amplitude \(I\) to the appropriate Q bin. The algorithm works both for monochromatic and TOF SANS data.

Note that the algorithm performs averaging in 2 steps. First, for each wavelength slice of the input it performs azimuthal averaging in radial rings. This results in a stack of I(Q)s, one for each input wavelength. As a second step, all the I(Q)s corresponding to different wavelengths are averaged again. Note that for the TOF data, this is mathematically not equivalent to performing averaging with one step; that is averaging everything into a single I(Q) histogram. The latter is done in Q1D algorithm. See the Rebin documentation for details about choosing the OutputBinning parameter.

Usage

This algorithm is used as a part of the SANSReduction and SANSILLIntegration. However, it can also be used directly, provided that the input data is already corrected for all the effects.

I/O

The input to this algorithm must be a histogram with common wavelength bins for each pixel. The output will be a distribution though.

Additional options

NPixelDivision

For greater precision, each detector pixel can be sub-divided in sub-pixels by setting the NPixelDivision parameters. This will split each pixel to a grid of NPixelDivision * NPixelDivision pixels. PixelSizeX and PixelSizeY inputs will be used only if pixels are to be split.

ErrorWeighting

Each pixel has a weight of 1 by default, but the weight of each pixel can be set to \(1/\sigma^2 I\) by setting the ErrorWeighting parameter to True. This will effectively transmute the average to a weighted average, where the weight is inversely proportional to the absolute statistical uncertainty on the intensity. This option will potentially produce very different results, so care must be taken when analysing the data with this option. In the reduction workflows this option is deprecated.

Wedges

For unisotropic scatterer, the I(Q) can be calculated for different angular sectors (or wedges). This can be done in two ways: symmetric wedges (default) or asymmetric wedges.

Symmetric

The figure below illustrates an example for symmetric wedges. Each wedge in this case represents two back-to-back sectors. The wedges output group will have two workspaces: one for the red region, one for the blue region.

../_images/wedge_symm.png

Asymmetric

An example for asymmetric wedges is shown below. The output will have four workspaces, one per each sector of different color.

../_images/wedge_asymm.png

Masked Bins

Bins masked in the input workspace will not enter the calculation.

AccountForGravity

If enabled, this will correct for the gravity effect by analytical calculation of the drop during the time-of-flight from sample to detector.

Categories: AlgorithmIndex | SANS

Source

C++ header: Q1DWeighted.h (last modified: 2020-03-25)

C++ source: Q1DWeighted.cpp (last modified: 2020-04-07)