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A nodal plane is an area of the orbital where there is zero electron density. The p, d, and f orbitals have nodal planes while the s orbital does not. This is why the s orbital is a sphere while the p orbital has two lobes on either side of the nucleus with a nodal plane in between them.
Just add some extra info (got to get those Chem Comm points!) This has to do with the shape of each orbital shell. Since the s-orbital is spherical, it does not have any risk of going through the actual nucleus of the atom, where the Heisenberg uncertainty principle tells us there is almost no chance of finding electrons. The other orbitals are nodal, meaning they have symmetrical blob-like protrusion where electrons may be found. You can kind of think of the nodal plane as the point where nodes connect, which is around where the nucleus is.
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