-                      r5ed76f8
+                      r2f7ea43
 intensity from the particle is
+.. image:: gen_i.png
+.. math::
+    I(\vec Q) = \frac{1}{V}\left|
+        \sum_j^N v_j \beta_j \exp(i\vec Q \cdot \vec r_j)\right|^2
 Equation 1.
 …
 atomic structure (such as taken from a PDB file) to get the right normalization.
 *NOTE! $\beta_j$ displayed in the GUI may be incorrect but this will not
+*NOTE!* $\beta_j$ *displayed in the GUI may be incorrect but this will not
 affect the scattering computation if the correction of the total volume V is made.*
 …
 ^^^^^^^^^^^^^^^^^^^
 For magnetic scattering, only the magnetization component, $M_\perp$,
 perpendicular to the scattering vector $Q$ contributes to the magnetic
+For magnetic scattering, only the magnetization component, $\mathbf{M}_\perp$,
+perpendicular to the scattering vector $\vec Q$ contributes to the magnetic
 scattering length.
 …
 The magnetic scattering length density is then
+.. image:: dm_eq.png
+.. math::
+    \beta_M = \frac{\gamma r_0}{2 \mu_B}\sigma \cdot \mathbf{M}_\perp
+        = D_M\sigma \cdot \mathbf{M}_\perp
 where the gyromagnetic ratio is $\gamma = -1.913$, $\mu_B$ is the Bohr
 …
 .. image:: gen_mag_pic.png
 Now let us assume that the angles of the *Q* vector and the spin-axis (x')
 to the x-axis are $\phi$ and $\theta_\text{up}$ respectively (see above). Then,
+Now let us assume that the angles of the $Q$ vector and the spin-axis ($x'$)
+to the $x$-axis are $\phi$ and $\theta_\text{up}$ respectively (see above). Then,
 depending upon the polarization (spin) state of neutrons, the scattering
 length densities, including the nuclear scattering length density ($\beta_N$)
 …
 *  for non-spin-flips
+   .. image:: sld1.png
+.. math::
+    \beta_{\pm\pm} = \beta_N \mp D_M M_{\perp x'}
 *  for spin-flips
+   .. image:: sld2.png
+.. math::
+    \beta_{\pm\mp} = - D_M(M_{\perp y'} \pm i M_{\perp z'})
 where
 .. image:: mxp.png
+.. math::
+.. image:: myp.png
+    M_{\perp x'} &= M_{0q_x}\cos\theta_\text{up} + M_{0q_y}\sin\theta_\text{up} \\
+    M_{\perp y'} &= M_{0q_y}\cos\theta_\text{up} + M_{0q_x}\sin\theta_\text{up} \\
+    M_{\perp z'} &= M_{0z} \\
+    M_{0q_x} &= (M_{0x}\cos\phi - M_{0y}\sin\phi)\cos\phi \\
+    M_{0q_y} &= (M_{0y}\sin\phi - M_{0y}\cos\phi)\sin\phi
+.. image:: mzp.png
+.. image:: mqx.png
+.. image:: mqy.png
+Here the $M0_x$, $M0_y$ and $M0_z$ are the $x$, $y$ and $z$
+components of the magnetisation vector in the laboratory $xyz$ frame.
+Here the $M_{0x}$, $M_{0y}$ and $M_{0z}$ are
+the $x$, $y$ and $z$ components of the magnetisation vector in the
+laboratory $x$-$y$-$z$ frame.
 .. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
 …
 uses the Debye equation below providing a 1D output
+.. image:: gen_debye_eq.png
+.. math::
+    I(|\vec Q|) = \frac{1}{V}\sum_j^N v_j\beta_j \sum_k^N v_k \beta_k
+        \frac{\sin(|\vec Q||\vec r_j - \vec r_k|)}{|\vec Q||\vec r_j - \vec r_k|}
 where $v_j \beta_j \equiv b_j$ is the scattering

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Changeset 2f7ea43 in sasview

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src/sas/sasgui/perspectives/calculator/media/sas_calculator_help.rst

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