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Example · Example 12

Q.For magnesium (1s2 2s2 2p6 3s21s^{2}\,2s^{2}\,2p^{6}\,3s^{2}), the successive ionization enthalpies are IE1=738IE_1 = 738, IE2=1451IE_2 = 1451 and IE3=7733 kJ mol−1IE_3 = 7733\ kJ\,mol^{-1}. Explain why IE3IE_3 is so much larger than IE2IE_2.

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Step 1. Magnesium's configuration is 1s2 2s2 2p6 3s21s^2\,2s^2\,2p^6\,3s^2: two valence electrons in the 3s3s subshell, sitting outside a complete, noble-gas-like [Ne][Ne] core (1s2 2s2 2p61s^2\,2s^2\,2p^6).

Step 2. IE1IE_1 and IE2IE_2 remove the two 3s3s valence electrons one at a time; IE2IE_2 is larger than IE1IE_1 (removing an electron from an already-positive ion is always harder) but both come from the same, relatively loosely held valence shell.

Step 3. IE3IE_3 must instead remove an electron from the complete n=2n=2 shell of Mg2+Mg^{2+} — a filled, extra-stable, noble-gas-like configuration held much more tightly and much closer to the nucleus. …

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