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Refs #9643. Fixed doc errors.
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wdzhou committed Jul 11, 2014
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16 changes: 11 additions & 5 deletions Code/Mantid/docs/source/algorithms/LoadVulcanCalFile-v1.rst
Original file line number Diff line number Diff line change
Expand Up @@ -46,11 +46,15 @@ Conversion from offset in TOF to d-spacing

With VULCAN's offsets in TOF, the calibration is done as the following.

:math:`\log_{10}(\xi) = \log_{10}(\xi_0) + \log_{10}(\xi_1) + \log_{10}(\xi_2)`
- Total offset is the product of innter-bank offset, inner-module offset and inter-module offset

:math:`\log_{10}(T') = \log_{10}(T) - \log_{10}(\xi)`
.. math:: \log_{10}(\xi) = \log_{10}(\xi_0) + \log_{10}(\xi_1) + \log_{10}(\xi_2)

:math:`T' = \frac{T}{\xi}`
- Time-of-flight value of each neutron is obtained by division of total offset.

.. math:: \log_{10}(T') = \log_{10}(T) - \log_{10}(\xi)

.. math:: T' = \frac{T}{\xi}`

where (1) :math:`\xi_0` is the inner-bank correction, (2) :math:`\xi_1` is the inner module (inter-bank) correction,
and (3) :math:`\xi_2` is the inter-module (inner-pack) correction.
Expand All @@ -61,11 +65,13 @@ is :math:`T^{(f)} = \frac{T}{10^{\Xi}}`

Therefore, by defining :math:`\xi^{(v)}` as the VULCAN's offset, and :math:`\xi^{(m)}` as
the Mantid's offset, then we can convert VULCAN's offset to Mantid's as
:math:`\xi^{(m)} = \frac{L\cdot\sin\theta}{L'\cdot\sin\theta'}\cdot\frac{1}{\xi^{(m)}} - 1`

.. math:: \xi^{(m)} = \frac{L\cdot\sin\theta}{L'\cdot\sin\theta'}\cdot\frac{1}{\xi^{(m)}} - 1

VULCAN uses effective DIFC and :math:`2\theta` for the effective detector to be focussed on.
It follows the Bragg rule for time-of-flight, i.e.,
:math:`T = DIFC \cdot d = (252.777\cdot L\cdot 2\cdot\sin\theta)\cdot d`

.. math:: T = DIFC \cdot d = (252.777\cdot L\cdot 2\cdot\sin\theta)\cdot d


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