☰ Year plan · Chemistry

Configurations, oxidation states and who counts as a transition element

Week 2 · Chapter 1 (B): electron configurations of the first series with the chromium and copper exceptions, oxidation states (why iron(II) oxidises easily and manganese(II) does not), the definition of a transition element, coinage metals in and zinc, cadmium and mercury out · 3 lessons
2

Oxidation states and the stability of half-filled d

Chemistry Sec 3 Term 1, Chapter 1: pp. 8–11
GoalExplain the common oxidation states of the first series, why there are several, and why Fe²⁺ is easily oxidised while Mn²⁺ is not.
New words
oxidation state · the charge a metal has, or seems to have, in a compound, such as +2 in Fe²⁺; it shows how many electrons it has lostsuccessive ionisation energies · the energies needed to remove the 1st, 2nd, 3rd … electron from the same atom one after anotherhalf-filled 3d · 3d⁵, one electron in each of the five 3d orbitals: an especially stable arrangement
Explanation

When a first-series atom becomes an ion, the two 4s electrons leave first, so +2 is found in every element except scandium, which settles at +3. Higher states also take 3d electrons. The highest state rises from +3 at Sc to +7 at Mn, where it equals the group number, and then falls: iron is usually +2 or +3, cobalt and nickel +2, copper +1 or +2, zinc only +2. Why so many states? The 4s and 3d electrons have similar energies, so the next electron costs only a little more than the last and the successive ionisation energies climb gradually. In sodium the 2nd electron comes from an inner shell and the energy jumps from about 500 to about 4560 kJ/mol, so sodium has only +1. Half-filled 3d matters too. Fe²⁺ is 3d⁶; losing one more electron gives Fe³⁺, 3d⁵, half-filled, so iron(II) is oxidised readily (in air iron(II) compounds slowly change to iron(III)). Mn²⁺ is already 3d⁵; making Mn³⁺ (3d⁴) would destroy the half-filled arrangement, so manganese(II) resists oxidation. Ions are formed by removing 4s electrons before 3d.

ElementCommon oxidation statesIon that forms with +2 or +3
Sc+3Sc³⁺: no d electrons
Ti+2, +3, +4Ti⁴⁺: no d electrons
V+2 to +5V³⁺: 3d²
Cr+2, +3, +6Cr³⁺: 3d³
Mn+2 to +7Mn²⁺: 3d⁵
Fe+2, +3Fe²⁺: 3d⁶, Fe³⁺: 3d⁵
Co+2, +3Co²⁺: 3d⁷
Ni+2Ni²⁺: 3d⁸
Cu+1, +2Cu⁺: 3d¹⁰, Cu²⁺: 3d⁹
Zn+2Zn²⁺: 3d¹⁰
Worked examples
3d3Cr³⁺
Ions from the atom. Chromium is [Ar] 3d⁵ 4s¹. To make Cr³⁺, remove the 4s electron first and then two from 3d: 3d⁵ − 2 = 3d³. So Cr³⁺ is [Ar] 3d³ with 3 unpaired electrons.
Changed electrons before → afterHalf-filled result?
Fe²⁺ → Fe³⁺6 → 5yes
Co²⁺ → Co³⁺7 → 6no
Which is easier, Fe²⁺ → Fe³⁺ or Co²⁺ → Co³⁺? Fe²⁺ is 3d⁶ and becomes 3d⁵, a half-filled sublevel, so the change is favoured. Co²⁺ is 3d⁷ and becomes 3d⁶, which is not a special arrangement. So the iron change is easier.
ƒRule
sum of oxidation numbers = charge of the particle
0 for a neutral compound
Finding an oxidation state. The charges in a neutral compound add up to zero. KMnO₄: K is +1 and four O are 4 × (−2) = −8, so Mn = +7, equal to its group number. K₂Cr₂O₇: 2 × (+1) + 2x + 7 × (−2) = 0, so 2x = 12 and Cr = +6.
Class activity

Boxes and coins again. Draw five 3d boxes. For Fe²⁺ put 6 coins in them, one in each box and the sixth on top of one. Take one coin away from a doubled box: you now have the Fe³⁺ picture. What do you see? For Mn²⁺ put 5 coins, one in each box, and try to take one away: what is left? Write in a sentence which change keeps a tidy arrangement and which spoils it.

Practice
1
Write the configuration of Co³⁺ and count its unpaired d electrons. (Atom: [Ar] 3d⁷ 4s².)
2
Write the configuration of Ni²⁺ and say how many electrons were removed from 4s and from 3d.
3
Find the oxidation state of manganese in K₂MnO₄.
4
Zinc shows only the +2 state. Why does it not lose more electrons?