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Example · Example 12

Q.Write the ground-state electronic configuration of copper (Z=29Z = 29) and explain the anomaly in its filling.

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Copper has Z=29Z = 29 electrons. The simple Aufbau order predicts [Ar] 3d9 4s2[\text{Ar}]\,3d^9\,4s^2 (18 core electrons in [Ar][\text{Ar}], plus 9 in 3d3d and 2 in 4s4s). Experimentally, copper's actual ground-state configuration is

[Ar] 3d10 4s1[\text{Ar}]\,3d^{10}\,4s^1

Here too, one electron that the simple rule would place in 4s4s instead moves into 3d3d, completing the 3d3d subshell (two electrons in each of its five orbitals -- completely filled) while leaving 4s4s with only a single electron.

The reason is the same kind of extra stability seen for chromium, but now applied to a completely filled rather than a half-filled subshell: a completely filled 3d103d^{10} subshell has every orbital paired, giving a highly symmetric, spherically even distribution of charge (minimising electron-electron repulsion) and the maximum possible number of exchange interactions available to a fully occupied set of orbitals. This extra stabilisation outweighs the modest energy cost of leaving 4s4s with only one electron instead o …

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