MayersSampleCorrection dialog.
Table of Contents
| Name | Direction | Type | Default | Description |
|---|---|---|---|---|
| InputWorkspace | Input | MatrixWorkspace | Mandatory | Input workspace with X units in TOF. The workspace must also have a sample with a cylindrical shape and an instrument with a defined source and sample position. |
| MultipleScattering | Input | boolean | False | If True then also correct for the effects of multiple scattering.Please note that the MS correction assumes the scattering is elastic. |
| MSEvents | Input | number | 10000 | Controls the number of second-scatter events generated. Only applicable where MultipleScattering=True. |
| MSRuns | Input | number | 10 | Controls the number of simulations, each containing MSEvents, performed. The final MS correction is computed as the average over the runs. Only applicablewhere MultipleScattering=True. |
| OutputWorkspace | Output | MatrixWorkspace | Mandatory | An output workspace. |
Calculates and applies corrections due to the effects of absorption (plus optionally multiple scattering) on the signal and error values for a given workspace. The full background to the algorithm is described by Lindley et al. [1] and is briefly described here.
The following assumptions are made:
the sample shape is a cylinder
The aim is to correct the number of neutrons at a given detector (
) to compute the number
of neutrons (
) that would reach the detector if there was no absorption (or multiple scattering). Ignoring
detector efficiency we can write:
where 
is the absorption and self-shielding factor and is computed by
numerical integration over the sample cylinder.
The multiple scattering factor (if requested) is computed by simulating over a fixed number of
second order scattering events and computing the ratio of second order and first order scattering.
Since we have assumed the ratio is the same between succesive orders, the 
factor simply comes from taking the sum of a geometric series.
The cylinder radius 
combined with the inverse attenuation length 
(derived from the total scattering cross-section) gives a range of 
against input
time-of-flight (“energy”) for the cylinder.
The range is divided into a discrete number of points for each point.
A weighted least-squares fit is applied to both the set of attenuation and multiple scattering factors to allow interpolation of the correction factor from any time-of-flight value in the input range. For each time-of-flight value the factor is computed from the fit coefficients and the correction applied multiplicatively:
The above procedure is repeated separately for each spectrum in the workspace.
Example - Correct Vanadium For Both Absorption & Multiple Scattering
# Create a fake workspace with TOF data
sample_ws = CreateSampleWorkspace(Function='Powder Diffraction',
NumBanks=1,BankPixelWidth=1,XUnit='TOF',
XMin=1000,XMax=10000)
# Set meta data about shape and material
cyl_height_cm = 4.0
cyl_radius_cm = 0.25
material = 'V'
num_density = 0.07261
SetSample(sample_ws,
Geometry={'Shape': 'Cylinder', 'Height': cyl_height_cm,
'Radius': cyl_radius_cm, 'Center': [0.0,0.0,0.0]},
Material={'ChemicalFormula': material, 'SampleNumberDensity': num_density})
# Run corrections
corrected_sample = MayersSampleCorrection(sample_ws,
MultipleScattering=True)
# Print a bin
print "Uncorrected signal: {0:.4f}".format(sample_ws.readY(0)[25])
print "Corrected signal: {0:.4f}".format(corrected_sample.readY(0)[25])
Output:
Uncorrected signal: 0.0556
Corrected signal: 0.0120
| [1] | Lindley, E.J., & Mayers, J. Cywinski, R. (Ed.). (1988). Experimental method and corrections to data. United Kingdom: Adam Hilger. - https://inis.iaea.org/search/search.aspx?orig_q=RN:20000574 |
See also
Algorithm MultipleScatteringCylinderAbsorption v1
Categories: Algorithms | CorrectionFunctions\AbsorptionCorrections