diff --git a/Doc/FFCatalog/FFCatalog.pdf b/Doc/FFCatalog/FFCatalog.pdf index f2af9db1bff272d4c6d7f81042e4518bbec2b476..3a86fdb4be487ef50fffea5a9d062471dbebc51d 100644 Binary files a/Doc/FFCatalog/FFCatalog.pdf and b/Doc/FFCatalog/FFCatalog.pdf differ diff --git a/Doc/FFCatalog/FormFactors.tex b/Doc/FFCatalog/FormFactors.tex index 46e58287650ced17cfe5c7f94e18cea0c870ef45..e781094b04295d2a473aa2855c072bd9a1616004 100644 --- a/Doc/FFCatalog/FormFactors.tex +++ b/Doc/FFCatalog/FormFactors.tex @@ -242,9 +242,9 @@ Shape&Name&Symmetry&Parameters&Reference\\\hline %=============================================================================== \ffsection{AnisoPyramid (rectangle-based)} \label{SAnisoPyramid} %=============================================================================== - \index{Anisotropic pyramid (form factor)} - \index{Pyramid (form factor)!rectangular (AnisoPyramid)} - \index{Truncated pyramid (form factor)!rectangular (AnisoPyramid)} + \index{Anisotropic pyramid} + \index{Pyramid!rectangular (AnisoPyramid)} + \index{Truncated pyramid!rectangular (AnisoPyramid)} \index{FormFactorAnisoPyramid@\Code{FormFactorAnisoPyramid}} \paragraph{Real-space geometry}\strut\\ @@ -313,9 +313,9 @@ and were found to fully agree. %=============================================================================== \ffsection{Box (cuboid)} \label{SBox} %=============================================================================== - \index{Box (form factor)} - \index{Cuboid (form factor)} - \index{Prism (form factor)!reactangular (Box)} + \index{Box} + \index{Cuboid} + \index{Prism!reactangular (Box)} \index{Platonic solid!cube} \index{FormFactorBox@\Code{FormFactorBox}} @@ -378,8 +378,8 @@ except for factors $1/2$ in the definitions of parameters $L$, $W$, $H$. %=============================================================================== \ffsection{Cone (circular)} \label{SCone} %=============================================================================== - \index{Cone (form factor)!circular} - \index{Truncated cone (form factor)} + \index{Cone!circular} + \index{Truncated cone} \index{FormFactorCone@\Code{FormFactorCone}} \paragraph{Real-space geometry}\strut\\ @@ -452,9 +452,9 @@ in \cref{SCylinder}. %=============================================================================== \ffsection{Cone6 (hexagonal)} \label{SCone6} %=============================================================================== - \index{Cone (form factor)!hexagonal (Cone6)} - \index{Pyramid (form factor)!hexagonal (Cone6)} - \index{Truncated pyramid (form factor)!hexagonal (Cone6)} + \index{Cone!hexagonal (Cone6)} + \index{Pyramid!hexagonal (Cone6)} + \index{Truncated pyramid!hexagonal (Cone6)} \index{FormFactorCone6@\Code{FormFactorCone6}} \paragraph{Real-space geometry}\strut\\ @@ -524,7 +524,7 @@ with series expansions near singularities. %=============================================================================== \ffsection{Cuboctahedron} \label{SCuboctahedron} %=============================================================================== - \index{Cuboctahedron (form factor)} + \index{Cuboctahedron} \index{Platonic solid!octahedron} \index{FormFactorCuboctahedron@\Code{FormFactorCuboctahedron}} @@ -598,7 +598,7 @@ using the generic polyhedron form factor \cite{Wut17}. %=============================================================================== \ffsection{Cylinder} \label{SCylinder} %=============================================================================== - \index{Cylinder (form factor)} + \index{Cylinder} \index{FormFactorCylinder@\Code{FormFactorCylinder}} \paragraph{Real-space geometry}\strut\\ @@ -691,7 +691,7 @@ use $t J_0(t)= \d[t J_1(t)]/\d t$ \cite[Formula~9.1.30a]{AbSt64}. %=============================================================================== \ffsection{Dodecahedron} \label{SDodecahedron} %=============================================================================== - \index{Dodecahedron (form factor)} + \index{Dodecahedron} \index{Platonic solid!dodecahedron} \index{FormFactorDodecahedron@\Code{FormFactorDodecahedron}} @@ -766,8 +766,8 @@ based on the generic form factor of the polyhedron~\cite{Wut17}. %=============================================================================== \ffsection{EllipsoidalCylinder} \label{SEllipsoidalCylinder} %=============================================================================== - \index{Ellipsoidal cylinder (form factor)} - \index{Cylinder (form factor)!ellipsoidal} + \index{Ellipsoidal cylinder} + \index{Cylinder!ellipsoidal} \index{FormFactorEllipsoidalCylinder@\Code{FormFactorEllipsoidalCylinder}} \paragraph{Real-space geometry}\strut\\ @@ -831,9 +831,9 @@ or \E{Ellipsoidal Cylinder} \cite[Eq.~224]{ReLL09}. %=============================================================================== \ffsection{FullSphere} \label{SFullSphere} %=============================================================================== - \index{Ball (form factor)|see {Sphere}} - \index{Full sphere (form factor)} - \index{Sphere (form factor)} + \index{Ball|see {Sphere}} + \index{Full sphere} + \index{Sphere} \index{FormFactorFullSphere@\Code{FormFactorFullSphere}} \paragraph{Real-space geometry}\strut\\ @@ -963,8 +963,8 @@ which is what we wanted to prove. %=============================================================================== \ffsection{FullSpheroid} \label{SFullSpheroid} %=============================================================================== - \index{Full spheroid (form factor)} - \index{Spheroid (form factor)} + \index{Full spheroid} + \index{Spheroid} \index{FormFactorFullSpheroid@\Code{FormFactorFullSpheroid}} \paragraph{Real-space geometry}\strut\\ @@ -1040,9 +1040,9 @@ the transformation matrix is just $M=\text{diag}(1/R, 1/R, 1/h)$. %=============================================================================== \ffsection{HemiEllipsoid} \label{SHemiEllipsoid} %=============================================================================== - \index{Hemi ellipsoid (form factor)} - \index{Ellipsoid (form factor)!truncated} - \index{Truncated ellipsoid (form factor)} + \index{Hemi ellipsoid} + \index{Ellipsoid!truncated} + \index{Truncated ellipsoid} \index{FormFactorHemiEllipsoid@\Code{FormFactorHemiEllipsoid}} \paragraph{Real-space geometry}\strut\\ @@ -1109,7 +1109,7 @@ or \E{Hemi-spheroid} \cite[Eq.~229]{ReLL09}. %=============================================================================== \ffsection{Icosahedron} \label{SIcosahedron} %=============================================================================== - \index{Icosahedron (form factor)} + \index{Icosahedron} \index{Platonic solid!icosahedron} \index{FormFactorIcosahedron@\Code{FormFactorIcosahedron}} @@ -1184,7 +1184,7 @@ based on the generic form factor of the polyhedron~\cite{Wut17}. %=============================================================================== \ffsection{Prism3 (triangular)} \label{SPrism3} %=============================================================================== - \index{Prism (form factor)!triangular (Prism3)} + \index{Prism!triangular (Prism3)} \index{FormFactorPrism3@\Code{FormFactorPrism3}} \paragraph{Real-space geometry}\strut\\ @@ -1253,7 +1253,7 @@ to achieve numerical stability near the removable singularity at $q\to0$. %=============================================================================== \ffsection{Prism6 (hexagonal)} \label{SPrism6} %=============================================================================== - \index{Prism (form factor)!hexagonal (Prism6)} + \index{Prism!hexagonal (Prism6)} \index{FormFactorPrism6@\Code{FormFactorPrism6}} \paragraph{Real-space geometry}\strut\\ @@ -1321,8 +1321,8 @@ to achieve numerical stability near the removable singularity at $q\to0$. %=============================================================================== \ffsection{Pyramid (square-based)}\label{SPyramid} %=============================================================================== - \index{Pyramid (form factor)!square} - \index{Truncated pyramid (form factor)!square} + \index{Pyramid!square} + \index{Truncated pyramid!square} \index{FormFactorPyramid@\Code{FormFactorPyramid}} \paragraph{Real-space geometry}\strut\\ @@ -1392,8 +1392,8 @@ to achieve numerical stability near the removable singularity at $q\to0$. %=============================================================================== \ffsection{Tetrahedron} \label{STetrahedron} %=============================================================================== - \index{Tetrahedron (form factor)} - \index{Truncated tetrahedron (form factor)} + \index{Tetrahedron} + \index{Truncated tetrahedron} \index{Platonic solid!tetrahedron} \index{FormFactorTetrahedron@\Code{FormFactorTetrahedron}} @@ -1472,8 +1472,8 @@ with series expansions near singularities. %=============================================================================== \ffsection{TruncatedCube} \label{STruncatedCube} %=============================================================================== - \index{Cube (form factor)!facetted} - \index{Facetted cube (form factor)} + \index{Cube!facetted} + \index{Facetted cube} \index{FormFactorTruncatedCube@\Code{FormFactorTruncatedCube}} \paragraph{Real-space geometry}\strut\\ @@ -1538,9 +1538,9 @@ of a polygonal prism \cite{Wut17}. %=============================================================================== \ffsection{TruncatedSphere}\label{STruncatedSphere} %=============================================================================== - \index{Sphere (form factor)!segment|see{truncated}} - \index{Sphere (form factor)!truncated} - \index{Truncated sphere (form factor)} + \index{Sphere!segment|see{truncated}} + \index{Sphere!truncated} + \index{Truncated sphere} \index{FormFactorTruncatedSphere@\Code{FormFactorTruncatedSphere}} \index{Segment (spherical)} @@ -1580,7 +1580,7 @@ They must fulfill \paragraph{Special cases}\strut\\ \index{Cap (spherical)} - \index{Sphere (form factor)!cap} + \index{Sphere!cap} A \E{spherical cap} is obtained from a spherical ball by a single cut. This is covered by the following special parameterization of \texttt{TruncatedSphere}: \begin{itemize} @@ -1631,8 +1631,8 @@ in \cref{SCylinder}. %=============================================================================== \ffsection{TruncatedSpheroid} \label{STruncatedSpheroid} %=============================================================================== - \index{Spheroid (form factor)!truncated} - \index{Truncated spheroid (form factor)} + \index{Spheroid!truncated} + \index{Truncated spheroid} \index{FormFactorTruncatedSpheroid@\Code{FormFactorTruncatedSpheroid}} \paragraph{Real-space geometry}\strut\\ @@ -1719,8 +1719,8 @@ in \cref{SCylinder}. %=============================================================================== \ffsection{Ripple1 (sinusoidal)} \label{SRipple1} %=============================================================================== - \index{Ripple (form factor)!sinusoidal (Ripple1)} - \index{Sinusoidal ripple (form factor)} + \index{Ripple!sinusoidal (Ripple1)} + \index{Sinusoidal ripple} \index{FormFactorRipple1@\Code{FormFactorRipple1}} \paragraph{Real-space geometry}\strut\\ @@ -1790,8 +1790,8 @@ Agrees with the \E{Ripple1} form factor of \FitGISAXS\ \cite{Bab13}. %=============================================================================== \ffsection{Ripple2 (saw-tooth)} \label{SRipple2} %=============================================================================== - \index{Ripple (form factor)!saw-tooth (Ripple2)} - \index{Saw-tooth ripple (form factor)} + \index{Ripple!saw-tooth (Ripple2)} + \index{Saw-tooth ripple} \index{FormFactorRipple2@\Code{FormFactorRipple2}} \paragraph{Real-space geometry}\strut\\