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Atomic orbitals: 3dThe shape of the five 3d orbitals. From left to right: (top row) 3d_{x2y2} and 3d_{z2} (bottom row) 3d_{xy}, 3d_{xz}, and 3d_{yz}. For each, the yellow zones are where the wave functions have negative values and the blue zones denote positive values. For each atom, there are five 3d orbitals. These are labelled 3d_{xy}, 3d_{xz}, 3d_{yz}, 3d_{x2y2} and 3d_{z2}. Four of these functions have the same shape but are aligned differently in space. The fifth function (3d_{z2}) has a different shape. Each 3d_{xy}, 3d_{xz}, 3d_{yz}, and 3d_{x2y2} orbital has four lobes. There are two planar node normal to the axis of the orbital (so the 3d_{xy} orbital has yz and xz nodal planes, for instance). The 3d_{z2} orbital is different and has two conical nodes. The origin of the planar nodes becomes clear if we examine the wave equations which, for instance, includes an xy term in the case of the 3d_{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 higher dorbitals (4d, 5d, and 6d) are more complex since they have some spherical nodes.  

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: Saturday 23rd September, 2017 