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Atomic orbitals: 5pThe shape of the three 5p orbitals. From left to right: 5p_{z}, 5p_{x}, and 5p_{y}. For each, the copper zones are where the wave functions have negative values and the blue zones denote positive values. For any atom, there are three 5p orbitals. These orbitals have the same shape but are aligned differently in space. The three 5p orbitals normally used are labelled 5p_{x}, 5p_{y}, and 5p_{z} since the functions are "aligned" along the x, y, and z axes respectively. Each 5p orbital has eight lobes. There is a planar node normal to the axis of the orbital (so the 5p_{x} orbital has a yz nodal plane, for instance). Apart from the planar node there are also three spherical node that partition off the small inner lobes. The higher porbitals (6p, and 7p) are more complex still snce they have even more spherical nodes. The origin of the planar node becomes clear if we examine the wave equation which, for instance, includes an x term in the case of the 5p_{x} orbital. Clearly When x = 0, then we must have a node, and this by definition is the yz plane. The origin of the spherical nodes becomes clearer if we examine the wave equations, which include a (120  90ρ + 18ρ^{2}  ρ^{3}) terms. When (120  90ρ + 18ρ^{2}  ρ^{3}) = 0, then we must have nodes. While not trivial, we can solve this on a casebycase basis to determine the position of the 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: Monday 29th May, 2017 