You are at: University of Sheffield » Chemistry » Mark Winter » Orbitron (atomic orbitals and molecular orbitals) 
WebElements  Chemdex  Chemputer 


Atomic orbitals: 3d wave functionThis page addresses the 3d_{z2} wave function. See the 3d_{xy}, 3d_{xz}, 3d_{yz}, and 3d_{x2y2} page for information about the other 3d wave functions. Schematic plot of the 3d_{z2} wave function ψ_{3dz2}. The blue zones are where the wave function has negative values and the red zones denote positive values. The graph on the left is a plot of values along a single line drawn through the nucleus along the zaxis, while the surface plot on the right shows values of ψ_{3dxy} on a slice in the xz plane drawn through the nucleus. The plot above is for the 3d_{z2} orbital  see the 3d_{xy}, 3d_{xz}, 3d_{yz}, and 3d_{x2y2} page for comparable information about their wave functions. In general, apart from the two nodal planes, dorbitals have a number of radial nodes that separate the largest, outer, component from the inner components. The number of radial nodes is related to the principal quantum number, n. In general, a nd orbital has (n  3) radial nodes, so 3dorbitals have (3  3) = 0 radial nodes. The equations for the 3d orbitals (ψ_{3d}) show that in addition to a radial dependency, there is a dependency upon direction. This is why d orbitals are not spherical. This behaviour is unlike that of the s orbitals for which the value of the wave function for a given value of r is the same no matter what direction is chosen.  

The Orbitron is a gallery of orbitals on the WWW The Orbitron^{TM}, a gallery of orbitals on the WWW, URL: http://winter.group.shef.ac.uk/orbitron/Copyright 20022015 Prof Mark Winter [The University of Sheffield]. All rights reserved. Document served: Wednesday 21st October, 2020 