Atomic orbitals: 7p radial distribution function

Schematic plot of the 7p radial distribution function 4πr2ψ7p2

Schematic plot of the 7p orbital radial distribution function.

For 7p-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function R7p by r2. By definition, it is independent of direction.

All of p-orbitals have one planar node, The 7p radial distribution function shows five radial nodes and the higher p orbitals show more. The number of nodes is related to the principal quantum number, n. In general, the np orbital have (n - 2) radial nodes. Therefore, the 7p-orbital has (7 - 2) = 5 radial nodes, as shown in the above plot. Radial nodes become evident in the higher p-orbitals ( ) while lower p-orbitals (2p, 3p, 4p, 5p, and 6p) show fewer.


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