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# TOFSANSResolution v1¶

## Summary¶

Calculate the Q resolution for TOF SANS data.

TOFSANSResolutionByPixel

## Properties¶

Name

Direction

Type

Default

Description

InputWorkspace

InOut

MatrixWorkspace

Mandatory

Name the workspace to calculate the resolution for

ReducedWorkspace

Input

MatrixWorkspace

Mandatory

I(Q) workspace

OutputBinning

Input

dbl list

Mandatory

MinWavelength

Input

number

Optional

Minimum wavelength to use.

MaxWavelength

Input

number

Optional

Maximum wavelength to use.

PixelSizeX

Input

number

5.15

Pixel size in the X direction (mm).

PixelSizeY

Input

number

5.15

Pixel size in the Y direction (mm).

Input

number

5

Input

number

10

DeltaT

Input

number

250

## Description¶

Compute the Q resolution for a given I(Q) for a TOF SANS instrument. The Q resolution is given as:

$$\left( \frac{dQ}{Q}\right)^2 = \left( \frac{d\theta}{\theta} \right)^2 + \left( \frac{dt}{t} \right)^2 + \left( \frac{\Delta\lambda}{\lambda} \right)^2$$

where $$t$$ is the time of flight, $$\Delta\lambda$$ is the wavelength bin width used when histogramming the data, and

$$\left( \frac{d\theta}{\theta}\right)^2 = \frac{1}{12\theta^2}\left[ \frac{3 \ R_1^2}{L_1^2} + \frac{3 \ R^2_2 D^2}{L_1^2 L^2_2} + \frac{2 \ (p_x^2 + p_y^2)}{L^2_2} \right]$$

Categories: AlgorithmIndex | SANS