Atomic orbitals 3d radial distribution function

Schematic plot of the 3d radial distribution function r2R3d2 (R3d = radial wave function).

Schematic plot of the 3d orbitals radial distribution function.

For 3d-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function R3d by r2. By definition, it is independent of direction.

In addition to two planar nodes (or two conical node in the case of the 3dz2 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 3d-orbitals each have (3 - 3) = 0 radial node, as shown in the above plot. Further radial nodes become evident in higher d-orbitals (4d, 5d, 6d, and 7d).

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