Image: Orbital p1-px animation

Description: Animation of a hydrogen p-orbital with varying superposition amplitudes of m=+1 and m=-1. The orbital is shown as a rigid body where the probability density exceeds a well-chosen value. The surface color shows the complex phase of the wave function. The top label is the wavefunction in a basis of m-eigenstates and the bottom label is the same wavefunction in the basis of x- and y-eigenstates. The basis transformation is |2px⟩=12(|2p1⟩+|2p−1⟩){\displaystyle \vert 2p_{x}\rangle =\textstyle {\frac {1}{\sqrt {2}}}(\vert 2p_{1}\rangle +\vert 2p_{-1}\rangle )} |2py⟩=12(−i|2p1⟩+i|2p−1⟩){\displaystyle \vert 2p_{y}\rangle =\textstyle {\frac {1}{\sqrt {2}}}(-i\vert 2p_{1}\rangle +i\vert 2p_{-1}\rangle )} |2p1⟩=12(|2px⟩+i|2py⟩){\displaystyle \vert 2p_{1}\rangle =\textstyle {\frac {1}{\sqrt {2}}}(\vert 2p_{x}\rangle +i\vert 2p_{y}\rangle )} |2p−1⟩=12(|2px⟩−i|2py⟩){\displaystyle \vert 2p_{-1}\rangle =\textstyle {\frac {1}{\sqrt {2}}}(\vert 2p_{x}\rangle -i\vert 2p_{y}\rangle )}
Title: Orbital p1-px animation
Credit: Own work, Created with hydrogen 1.1
Author: Geek3
Usage Terms: Creative Commons Attribution-Share Alike 4.0
License: CC BY-SA 4.0
License Link: https://creativecommons.org/licenses/by-sa/4.0
Attribution Required?: Yes