Original file (SVG file, nominally 265 × 251 pixels, file size: 22 KB)
This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
DescriptionSpherical harmonics positive negative.svg |
English: Representation of a spherical harmonic by discrepancy to a sphere. |
Date | |
Source | Own work |
Author | Krishnavedala |
LaTeX source code |
---|
\documentclass[12pt,border=1pt,tikz,class=scrartcl]{standalone}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{mathtools}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows,shapes,calc,positioning,matrix,fit}
\begin{document}
\scriptsize
\tdplotsetmaincoords{100}{170}
\begin{tikzpicture}[very thick,auto,
info box/.style={align=right, text width=4em}]
\node at (0,0) (p1) {\begin{tikzpicture}
\draw[tdplot_screen_coords, fill=white!70!gray] (0,0) circle (1);
\tdplotsinandcos {\sintheta}{\costheta}{0}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {0} {-190} {} {}
\tdplotsinandcos {\sintheta}{\costheta}{-30}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {0} {-190} {} {}
\tdplotsinandcos {\sintheta}{\costheta}{30}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {-20} {-180} {} {}
\node at (0,.7) {$+$}; \node at (0,.1) {$-$};
\node at (0,-.4) {$+$}; \node at (0,-.8) {$-$};
\end{tikzpicture}
};
\node [left=-.3em of p1,info box] {$l=3$\\$m=0$\\$l-m=3$};
\node at (4,0) (p2) {\begin{tikzpicture}
\draw[tdplot_screen_coords, fill=white!70!gray] (0,0) circle (1);
\tdplotsinandcos {\sintheta}{\costheta}{-30}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {0} {-180} {} {}
\tdplotsinandcos {\sintheta}{\costheta}{30}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {0} {-180} {} {}
\tdplotsetthetaplanecoords{60}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {-180} {0} {} {}
\node at (.4,.7) {$+$}; \node at (-.3,.7) {$-$};
\node at (.6,-.1) {$-$}; \node at (-.3,-.1) {$+$};
\node at (.4,-.8) {$+$}; \node at (-.2,-.8) {$-$};
\end{tikzpicture}
};
\node [left=-.3em of p2,info box] {$l=3$\\$m=1$\\$l-m=2$};
\node at (0,-2.5) (p3) {\begin{tikzpicture}
\draw[tdplot_screen_coords, fill=white!70!gray] (0,0) circle (1);
\tdplotsinandcos {\sintheta}{\costheta}{0}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {0} {-180} {} {}
\tdplotsetthetaplanecoords{35}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\tdplotsetthetaplanecoords{125}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\node at (-.85,.2) {$-$}; \node at (0,.4) {$+$}; \node at (.85,.3) {$-$};
\node at (-.85,-.3) {$+$}; \node at (0,-.6) {$-$}; \node at (.85,-.3) {$+$};
\end{tikzpicture}
};
\node [left=-.3em of p3,info box] {$l=3$\\$m=2$\\$l-m=1$};
\node at (4,-2.5) (p4) {\begin{tikzpicture}
\draw[tdplot_screen_coords, fill=white!70!gray] (0,0) circle (1);
\tdplotsetthetaplanecoords{0}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\tdplotsetthetaplanecoords{45}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\tdplotsetthetaplanecoords{90}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\tdplotsetthetaplanecoords{135}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\node at (-.95,0) {$-$}; \node at (-.5,0) {$+$};
\node at (.2,0) {$-$}; \node at (.8,0) {$+$};
\end{tikzpicture}
};
\node [left=-.3em of p4,info box] {$l=3$\\$m=3$\\$l-m=0$};
\node at (2,-5) (p5) {\begin{tikzpicture}
\draw[tdplot_screen_coords, fill=white!70!gray] (0,0) circle (1);
\tdplotsinandcos {\sintheta}{\costheta}{0}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {0} {-190} {} {}
\tdplotsinandcos {\sintheta}{\costheta}{-30}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {0} {-190} {} {}
\tdplotsinandcos {\sintheta}{\costheta}{30}
\tdplotdrawarc {(0,0,-\sintheta)} {\costheta} {-20} {-180} {} {}
\tdplotsetthetaplanecoords{40}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\tdplotsetthetaplanecoords{130}\tdplotdrawarc [tdplot_rotated_coords] {(0,0,0)} {1} {0} {-180} {} {}
\node at (-.65,.7) {$+$}; \node at (0,.7) {$-$}; \node at (.6,.7) {$+$};
\node at (-.85,.2) {$-$}; \node at (0,.1) {$+$}; \node at (.8,.2) {$-$};
\node at (-.7,-.7) {$-$}; \node at (0,-.8) {$+$}; \node at (.6,-.75) {$-$};
\node at (-.85,-.3) {$+$}; \node at (0,-.4) {$-$}; \node at (.8,-.3) {$+$};
\end{tikzpicture}
};
\node [left=-.3em of p5,info box] {$l=5$\\$m=2$\\$l-m=3$};
\end{tikzpicture}
\end{document}
|
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 23:43, 1 December 2014 | 265 × 251 (22 KB) | Krishnavedala | User created page with UploadWizard |
The following other wikis use this file:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 211.785pt |
---|---|
Height | 200.712pt |