Changeset 8cc9048 in sasview for src/sas/sasgui/perspectives/calculator/media/sas_calculator_help.rst
- Timestamp:
- Jan 12, 2018 12:24:18 PM (6 years ago)
- Branches:
- master, magnetic_scatt, release-4.2.2, ticket-1009, ticket-1094-headless, ticket-1242-2d-resolution, ticket-1243, ticket-1249, ticket885, unittest-saveload
- Children:
- 4b4b746
- Parents:
- a40e913
- File:
-
- 1 edited
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src/sas/sasgui/perspectives/calculator/media/sas_calculator_help.rst
r1b67f3e r8cc9048 34 34 35 35 where $\beta_j$ and $r_j$ are the scattering length density and 36 the position of the $j^\ text{th}$ pixel respectively.36 the position of the $j^\mathrm{th}$ pixel respectively. 37 37 38 38 The total volume $V$ … … 42 42 V = \sum_j^N v_j 43 43 44 for $\beta_j \ne 0$ where $v_j$ is the volume of the $j^\ text{th}$45 pixel (or the $j^\ text{th}$ natural atomic volume (= atomic mass / (natural molar44 for $\beta_j \ne 0$ where $v_j$ is the volume of the $j^\mathrm{th}$ 45 pixel (or the $j^\mathrm{th}$ natural atomic volume (= atomic mass / (natural molar 46 46 density * Avogadro number) for the atomic structures). 47 47 … … 88 88 89 89 Now let us assume that the angles of the $\vec Q$ vector and the spin-axis ($x'$) 90 to the $x$-axis are $\phi$ and $\theta_\ text{up}$ respectively (see above). Then,90 to the $x$-axis are $\phi$ and $\theta_\mathrm{up}$ respectively (see above). Then, 91 91 depending upon the polarization (spin) state of neutrons, the scattering 92 92 length densities, including the nuclear scattering length density ($\beta_N$) … … 107 107 .. math:: 108 108 109 M_{\perp x'} &= M_{0q_x}\cos\theta_\ text{up} + M_{0q_y}\sin\theta_\text{up} \\110 M_{\perp y'} &= M_{0q_y}\cos\theta_\ text{up} - M_{0q_x}\sin\theta_\text{up} \\109 M_{\perp x'} &= M_{0q_x}\cos\theta_\mathrm{up} + M_{0q_y}\sin\theta_\mathrm{up} \\ 110 M_{\perp y'} &= M_{0q_y}\cos\theta_\mathrm{up} - M_{0q_x}\sin\theta_\mathrm{up} \\ 111 111 M_{\perp z'} &= M_{0z} \\ 112 112 M_{0q_x} &= (M_{0x}\cos\phi - M_{0y}\sin\phi)\cos\phi \\ … … 161 161 162 162 where $v_j \beta_j \equiv b_j$ is the scattering 163 length of the $j^\ text{th}$ atom. The calculation output is passed to the *Data Explorer*163 length of the $j^\mathrm{th}$ atom. The calculation output is passed to the *Data Explorer* 164 164 for further use. 165 165
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