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mantidproject
mantid
Commits
a53bc4aa
Commit
a53bc4aa
authored
Jan 21, 2016
by
Lynch, Vickie
Browse files
Refs #14857 add documentation
parent
ba84695d
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docs/source/algorithms/IntegratePeaksMD-v2.rst
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a53bc4aa
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@@ -97,7 +97,7 @@ IntegrateIfOnEdge option
###################################
Edges for each bank or pack of tubes of the instrument are defined by masking the edges in the PeaksWorkspace instrument.
e.g. For
CORELLI, tube
s
1
and
16, and pixels 0 and 255
.
e.g. For
TOPAZ pixel
s
0
and
255 in both directions for the Rectangular Detector
.
Q in the lab frame for every peak is calculated, call it C
For every point on the edge, the trajectory in reciprocal space is a straight line, going through:
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@@ -124,6 +124,42 @@ for the integration, one of the detector trajectories on the edge is too close t
This method is also applied to all masked pixels. If there are masked pixels trajectories inside an integration volume, the peak must be rejected.
CorrectIfOnEdge option
###################################
This is an extension of what was calculated for the IntegrateIfOnEdge option. It will only be calculated if this option
is true and for the background
:math:`\left|dv\right|<BackgroundOuterRadius`
:math:`h = BackgroundOuterRadius - \left|dv\right|`
:math:`r = BackgroundOuterRadius`
or for the peak (assume that the shape is Gaussian)
:math:`\left|dv\right|<PeakRadius`
:math:`\sigma = PeakRadius / 3`
:math:`h = PeakRadius * exp(-\left|dv\right|^2 / (2 \sigma^2)`
:math:`r = PeakRadius`
The minimum of dv is calculated for each peak and from that value the volume of the cap of the sphere is found:
:math:`V_{cap} = \pi h^2 / 3 (3r - h)`
and the volume of the sphere is calculated
:math:`V_{sphere} = 4/3 \pi r^3`
The integrated intensity is multiplied by the ratio of the volume of the sphere divided by the volume where data was collected
:math:`I_{multiplier} = V_{sphere} / (V_{sphere} - V_{cap})`
Usage
------
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