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Atomic orbitals: 7dFor any atom, there are five 7d orbitals. These orbitals are exotic in the sense that no elements are known in which the 7d orbitals are occupied in their ground states. However these orbitals may be populated in some excited states. The shape of the five 7d orbitals. From left to right: (top row) 7d_{x2y2} and 7d_{z2} (bottom row) 7d_{xy}, 7d_{xz}, and 7d_{yz}. For each, the blue zones are where the wave functions have negative values and the pink zones denote positive values. For each atom, there are five 7d orbitals. These are labelled 7d_{xy}, 7d_{xz}, 7d_{yz}, 7d_{x2y2} and 7d_{z2}. Four of these functions have the same shape but are aligned differently in space. The fifth function (7d_{z2}) has a different shape. Each 7d_{xy}, 7d_{xz}, 7d_{yz}, and 7d_{x2y2} orbital has 20 lobes. There are two planar node normal to the axis of the orbital (so the 7d_{xy} orbital has yz and xz nodal planes, for instance). The 7d_{z2} orbital is a little different and has two conical nodes. In addition, apart from the planar nodes, all five orbitals have four spherical nodes that partitions off the small inner lobes. The origin of the planar nodes becomes clear if we examine the wave equation which, for instance, includes an xy term in the case of the 7d_{xy} orbital. Clearly when either x = 0 or y = 0, then we must have a node, and this by definition is the case for the yz and a xz planes.  

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 