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Example · Example 1

Q.Write the general electronic configuration of the first-row (3d) transition elements, and give the actual configurations of chromium and copper, explaining why they deviate from the general pattern.

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Every first-row transition metal atom, built on the [Ar][\text{Ar}] core, has the general outer configuration 3d1−104s1−23d^{1-10}4s^{1-2}: scandium is 3d14s23d^14s^2, titanium 3d24s23d^24s^2, vanadium 3d34s23d^34s^2, and so on up to zinc, 3d104s23d^{10}4s^2.

Two members break from the pattern a simple, orbital-by-orbital filling would predict. A straightforward extension of the pattern would give chromium the configuration 3d44s23d^44s^2 and copper the configuration 3d94s23d^94s^2. Instead, chromium's actual ground-state configuration is [Ar]3d54s1[\text{Ar}]3d^54s^1, and copper's is [Ar]3d104s1[\text{Ar}]3d^{10}4s^1: in both cases, one electron that "should" occupy 4s4s is instead found in 3d3d.

The reason is the extra stability associated with a half-filled (d5d^5) or completely filled (d10d^{10}) subshell. When five electrons occupy five different dd orbitals with parallel spin (as in d5d^5), or when all five orbitals are doubly occupied (as in d10d^{10}), the electron-electron repulsion within the subshell is minimized, and the quantum-mechanical exchange stabilization between same-spin electrons in different orbitals is maximized. This stabilization is large enough that the atom "prefers" to promote one electron out of 4s4s and into 3d3d to reach one of these two special configurations, even though doing so leaves the 4s4s orbital singly (rather than doubly) occupied.

✓Final answer

The general outer configuration of the first-row transition metals is 3d1−104s1−23d^{1-10}4s^{1-2}. Chromium is [Ar]3d54s1[\text{Ar}]3d^54s^1 (not the "expected" 3d44s23d^44s^2) and copper is [Ar]3d104s1[\text{Ar}]3d^{10}4s^1 (not 3d94s23d^94s^2), because promoting one 4s4s electron into 3d3d gives the extra-stable half-filled (d5d^5) or completely filled (d10d^{10}) configuration, whose exchange-energy and symmetry stabilization outweighs the small cost of leaving 4s4s singly occupied.

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