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CHEM 121 Studioby Learn4Less · UBC CHEM 121

6.2 · Periodic properties

Ions and magnetism

Which electrons leave first, and what unpaired electrons do in a magnet.

By the end you should be able to:

  • Write ion configurations, count unpaired electrons and predict magnetism

Key idea

Main-group ions

Anions add electrons to the next available orbital in aufbau order. Cations lose electrons from the subshell with the highest nn (the outermost). Main-group ions usually end up isoelectronic with a noble gas:

  • O\ce{O}, [He] 2s2 2p4[\mathrm{He}]\,2s^2\,2p^4, gains 2 → OX2−\ce{O^2-}, [He] 2s2 2p6[\mathrm{He}]\,2s^2\,2p^6 (the same as Ne)
  • Cl\ce{Cl}, [Ne] 3s2 3p5[\mathrm{Ne}]\,3s^2\,3p^5, gains 1 → ClX−\ce{Cl-}, [Ne] 3s2 3p6[\mathrm{Ne}]\,3s^2\,3p^6 (the same as Ar)
  • Mg\ce{Mg}, [Ne] 3s2[\mathrm{Ne}]\,3s^2, loses 2 → MgX2+\ce{Mg^2+}, [Ne][\mathrm{Ne}]

Heavier p-block metals can lose only their p electrons: tin, [Kr] 5s2 4d10 5p2[\mathrm{Kr}]\,5s^2\,4d^{10}\,5p^2, gives SnX2+\ce{Sn^2+} = [Kr] 4d10 5s2[\mathrm{Kr}]\,4d^{10}\,5s^2 (the 5p5p electrons leave first) and SnX4+\ce{Sn^4+} = [Kr] 4d10[\mathrm{Kr}]\,4d^{10}.

Key idea

Transition-metal cations lose 4s first

The 4s4s subshell fills before 3d3d, but once 3d3d holds electrons the 4s4s electrons are the outermost (highest nn) and they are removed first. Remove all the nsns electrons before any (n−1)d(n-1)d electrons:

SpeciesConfigurationUnpaired electrons
Fe\ce{Fe}[Ar] 4s2 3d6[\mathrm{Ar}]\,4s^2\,3d^64
FeX2+\ce{Fe^2+}[Ar] 3d6[\mathrm{Ar}]\,3d^64
FeX3+\ce{Fe^3+}[Ar] 3d5[\mathrm{Ar}]\,3d^55
CuX+\ce{Cu+}[Ar] 3d10[\mathrm{Ar}]\,3d^{10}0
CuX2+\ce{Cu^2+}[Ar] 3d9[\mathrm{Ar}]\,3d^91
ZnX2+\ce{Zn^2+}[Ar] 3d10[\mathrm{Ar}]\,3d^{10}0

Always start from the true neutral configuration: Cr is [Ar] 4s1 3d5[\mathrm{Ar}]\,4s^1\,3d^5, so CrX3+\ce{Cr^3+} is [Ar] 3d3[\mathrm{Ar}]\,3d^3.

Formula

Counting unpaired electrons

Only partly filled subshells contribute. For a subshell of kk orbitals (kk = 1, 3, 5 for s, p, d) holding ee electrons, Hund's rule gives

unpaired electrons={eif e≤k2k−eif e>k\text{unpaired electrons} = \begin{cases} e & \text{if } e \le k \\ 2k - e & \text{if } e > k \end{cases}

So 3d33d^3 has 3, 3d53d^5 has 5 (the maximum for d), 3d83d^8 has 10−8=210 - 8 = 2 and 3d103d^{10} has 0.

  • Paramagnetic: at least one unpaired electron; the species is drawn into a magnetic field.
  • Diamagnetic: every electron paired; the species is weakly pushed out of a magnetic field.

Key idea

Isoelectronic species

Species with the same number of electrons are isoelectronic and have the same configuration. Count electrons as ZZ minus the charge.

  • 10 electrons, [He] 2s2 2p6[\mathrm{He}]\,2s^2\,2p^6: NX3−\ce{N^3-}, OX2−\ce{O^2-}, FX−\ce{F-}, Ne\ce{Ne}, NaX+\ce{Na+}, MgX2+\ce{Mg^2+}, AlX3+\ce{Al^3+}
  • 18 electrons, [Ne] 3s2 3p6[\mathrm{Ne}]\,3s^2\,3p^6: SX2−\ce{S^2-}, ClX−\ce{Cl-}, Ar\ce{Ar}, KX+\ce{K+}, CaX2+\ce{Ca^2+}

Isoelectronic species differ only in nuclear charge, which is what sets their relative sizes (see the periodic-trends topic). All of these have filled subshells, so all are diamagnetic.

Method

Ion configuration and magnetism

  1. Write the ground-state configuration of the neutral atom (with the Cr and Cu exceptions).
  2. Anion: add electrons in aufbau order. Cation: remove electrons from the highest nn first: for transition metals all nsns electrons go before any (n−1)d(n-1)d; for p-block metals npnp goes before nsns.
  3. Check that the total equals ZZ minus the charge.
  4. Draw the partly filled subshell using Hund's rule and count the unpaired electrons.
  5. Any unpaired electrons: paramagnetic. None: diamagnetic.

Common mistake

Removing 3d electrons first

Wrong: FeX2+\ce{Fe^2+} is [Ar] 4s2 3d4[\mathrm{Ar}]\,4s^2\,3d^4 ("last in, first out"). Right: FeX2+\ce{Fe^2+} is [Ar] 3d6[\mathrm{Ar}]\,3d^6: the 4s4s electrons have the highest nn and leave first.

Wrong: CuX+\ce{Cu+} is [Ar] 4s1 3d9[\mathrm{Ar}]\,4s^1\,3d^9. Right: neutral Cu is [Ar] 4s1 3d10[\mathrm{Ar}]\,4s^1\,3d^{10}, so removing the 4s4s electron gives [Ar] 3d10[\mathrm{Ar}]\,3d^{10}, which is diamagnetic.

Wrong: a species with an even number of electrons must be diamagnetic. Right: check the orbital diagram. FeX2+\ce{Fe^2+} has 24 electrons and 4 of them are unpaired.

Worked example

Worked example: Co²⁺ versus Zn²⁺

Cobalt(II). Co (Z=27Z = 27) is [Ar] 4s2 3d7[\mathrm{Ar}]\,4s^2\,3d^7. Remove the two 4s4s electrons: CoX2+\ce{Co^2+} = [Ar] 3d7[\mathrm{Ar}]\,3d^7 (check: 18 + 7 = 25 = 27 − 2).

3d3d3d3d3d3d3d3d3d3d
↑↓↑↓↑↑↑

3 unpaired electrons: paramagnetic.

Zinc(II). Zn (Z=30Z = 30) is [Ar] 4s2 3d10[\mathrm{Ar}]\,4s^2\,3d^{10}, so ZnX2+\ce{Zn^2+} = [Ar] 3d10[\mathrm{Ar}]\,3d^{10}. Every orbital is full: 0 unpaired electrons, diamagnetic.

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