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Graphical Representation of Hydrogenic Orbitals: Incorporating Both Radial and Angular Parts of the Wave Function

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There exist several two- and three-dimensional graphical representations of hydrogen-like orbitals. Despite this, connecting the mathematical form of the atomic orbital, a function of both radial and angular variables, to… Click to show full abstract

There exist several two- and three-dimensional graphical representations of hydrogen-like orbitals. Despite this, connecting the mathematical form of the atomic orbital, a function of both radial and angular variables, to its actual shape is often challenging for students. Here, we present a new graphical representation using bubble plots to show the combined contribution of the radial and angular parts of the wave function to its shape. This representation can be demonstrated on the blackboard, as well as easily plotted by students. Additionally, it is one step away from contour plots of orbitals, which are commonly used in their depiction.

Keywords: radial angular; angular parts; graphical representation; parts wave; function

Journal Title: Journal of Chemical Education
Year Published: 2018

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