File:Spherical harmonics positive negative.svg

原始文件(SVG文件,尺寸为265 × 251像素,文件大小:22 KB)


摘要

描述
English: Representation of a spherical harmonic by discrepancy to a sphere.
日期
来源自己的作品
作者Krishnavedala
W3C-validity not checked.
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}

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