Atomic orbitals: 6d radial distribution function

Schematic plot of the 7d radial distribution function r2R7d2 (R7d = radial wave function).

Schematic plot of the 7d orbitals radial distribution function.

For 7d-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function R7d by r2. By definition, it is independent of direction.

In addition to two planar nodes (or two conical node in the case of the 4dz2 orbital), d-orbitals, display a number of radial nodes that separate the largest, outer, component from the inner components. The number of nodes is related to the principal quantum number, n. In general, the nd orbitals have (n - 3) radial nodes. Therefore, the 7d-orbitals each have (7 - 3) = 4 radial node, as shown in the above plot. Fewer radial nodes are evident in lower d-orbitals (3d, 6d, 5d, 6d, and 7d).

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