Coordination complexes and applications

A coordination complex is a central metal ion held together with a cage of ligands through coordinate covalent bonds — and almost everything interesting about it, from its colour to whether it can cure cancer, comes down to two questions: what is it called, and what shape is it in? Naming a complex correctly forces you to read off its oxidation state, its ligand set, and its charge type in one line of text. Working out its isomers forces you to see that two complexes with the identical formula can be chemically unrelated — one a stable drug, the other biologically inert. This article builds the full IUPAC naming toolkit, maps the isomerism landscape (structural and stereo), and closes with why coordination chemistry underpins real catalysis, metal extraction, and analytical titrations rather than staying a textbook curiosity.

The core insight

IUPAC nomenclature encodes a complex's ligands, their count, and the metal's oxidation state in one systematic name, while structural and stereoisomerism reveal that connectivity and geometry — not just formula — determine a complex's chemistry, as cisplatin's cis geometry versus its inert trans isomer proves.

The core idea

Naming rules, in order of application. IUPAC nomenclature is a fixed procedure, not a set of independent conventions — apply the rules in sequence and the name falls out: Ligands are cited before the metal, in alphabetical order by ligand root (ignoring any multiplying prefix). Simple ligands take di-, tri-, tetra-; ligands whose own name already contains a multiplier, or is itself complex/polydentate (e.g. ethylenediamine), take bis-, tris-, tetrakis- instead, with the ligand name in parentheses — bis(ethylenediamine). Anionic ligands always end in -o (chloro, cyano, oxalato, hydroxo); neutral ligands mostly keep their common name (aqua, ammine, pyridine), with CO\text{CO} = carbonyl and NO\text{NO} = nitrosyl as memorised exceptions. The metal's oxidation state is written as a Roman numeral in parentheses directly after the metal name — this is the step students skip and lose marks on. If the whole complex ion is an anion, the metal name gets the suffix -ate (ferrate, cobaltate, platinate); cationic and neutral complexes keep the plain metal name. For polynuclear (bridged) complexes, a shared ligand connecting two metal centres is cited with the prefix μ\mu- and alphabetised alongside the terminal ligands, e.g. [(NH3)5Cr(μ-OH)Cr(NH3)5]5+[(\text{NH}_3)_5\text{Cr}(\mu\text{-OH})\text{Cr}(\text{NH}_3)_5]^{5+} is μ\mu-hydroxo-bis[pentaamminechromium(III)] ion.

Isomerism — same formula, different molecules. Coordination compounds split isomerism into two families that are easy to confuse if you only memorise definitions rather than picture what moves. Structural isomers have the same atoms connected differently: ionisation isomers swap a ligand with an outside counter-ion, [Co(NH3)5Br]SO4[\text{Co(NH}_3)_5\text{Br}]\text{SO}_4 versus [Co(NH3)5SO4]Br[\text{Co(NH}_3)_5\text{SO}_4]\text{Br}; hydrate isomers move water in or out of the coordination sphere, [Cr(H2O)6]Cl3[\text{Cr(H}_2\text{O})_6]\text{Cl}_3 versus [Cr(H2O)5Cl]Cl2⋅H2O[\text{Cr(H}_2\text{O})_5\text{Cl}]\text{Cl}_2\cdot\text{H}_2\text{O}; linkage isomers bind an ambidentate ligand through a different donor atom, nitro –NO2\text{–NO}_2 (N-bound) versus nitrito –ONO\text{–ONO} (O-bound); and coordination isomers redistribute ligands between the cation and anion of a salt built from two complex ions, [Co(NH3)6][Cr(CN)6][\text{Co(NH}_3)_6][\text{Cr(CN)}_6] versus [Cr(NH3)6][Co(CN)6][\text{Cr(NH}_3)_6][\text{Co(CN)}_6]. Stereoisomers share identical connectivity but differ in 3D arrangement: geometrical isomerism gives cis/trans pairs in square planar (CN 4) and octahedral (CN 6) complexes, and facial(fac)/meridional(mer) arrangements for octahedral MA3B3\text{MA}_3\text{B}_3 complexes; optical isomerism gives non-superimposable mirror images (enantiomers), most commonly in octahedral complexes bearing chelating ligands — [Co(en)3]3+[\text{Co(en)}_3]^{3+} has no internal mirror plane and is chiral, while [Co(NH3)6]3+[\text{Co(NH}_3)_6]^{3+}, with six identical monodentate ligands, is not. The oxidation-state step above is worth isolating as its own tool, because every naming and every isomer-classification problem starts by pinning it down from a simple charge-balance sum.

Figure
Two isomerism families branching from a coordination compound, structural isomerism splitting into ionisation hydrate linkage and coordination isomers, stereoisomerism splitting into geometrical and optical isomers
Isomerism in coordination compounds same formula structural isomerism stereoisomerism ionisation hydrate linkage coordination geometrical cis trans fac mer optical enantiomers Structural isomers differ in which atom bonds to the metal; stereoisomers differ only in spatial arrangement cisplatin and trans-platin share this second branch, yet only one is an anticancer drug
Derivation AAssigning the metal's oxidation state from charge balance

The goal is to derive a general working formula that turns any complex's overall charge and its list of ligand charges into the central metal's oxidation state, so that naming and isomer classification always start from a number you calculated rather than one you guessed from "typical" oxidation states of that metal.

Step 1. Set up the charge-balance statement. In a neutral coordination compound, everything inside the square bracket — the complex ion — carries a definite charge QQ, fixed by whatever counter-ions balance it outside the bracket (or by the formula itself, if the whole compound is neutral and there is no bracket at all). Inside the bracket sit the metal, with unknown oxidation state xx, and a set of ligands, each contributing its own fixed charge.

Step 2. Write the sum of contributions. If ligand ii appears nin_i times and carries charge qiq_i (0 for neutral ligands such as NH3\text{NH}_3 or H2O\text{H}_2\text{O}, −1-1 for chloro or cyano, and so on), the total charge of the complex ion is the metal's contribution plus every ligand's contribution added up:

x+∑iniqi=Q.(1)x + \sum_i n_i q_i = Q. \qquad (1)

where: xx is the oxidation state of the central metal (the unknown to solve for), nin_i is the number of ligands of type ii, qiq_i is the charge on one ligand of type ii, and QQ is the net charge of the entire complex ion, read directly from the counter-ions balancing it outside the bracket.

Step 3. Solve for xx. Rearranging, x=Q−∑iniqix = Q - \sum_i n_i q_i — subtract the total ligand charge from the complex ion's overall charge. This is a pure bookkeeping step: no chemistry judgement is needed once QQ and every qiq_i are correctly identified, which is exactly why guessing from memory (rather than applying Equation 1) is the error examiners penalise most.

Step 4. Read the result physically. Equation 1 says the metal must supply whatever charge the ligands don't — it is nothing more than conservation of charge applied to one ion. The same equation, run in reverse, is also how you check a proposed formula: if a claimed oxidation state and ligand set don't sum to the stated overall charge, the formula as written is wrong.

Worked example

Problem. Name the complex [Co(NH3)4(H2O)Cl]Cl2[\text{Co(NH}_3)_4(\text{H}_2\text{O})\text{Cl}]\text{Cl}_2 by IUPAC rules, and determine the oxidation state of cobalt.

Step 1. Identify QQ, the charge on the bracketed complex ion. Two Cl−\text{Cl}^- counter-ions sit outside the bracket, so by charge balance the complex ion itself must carry Q=+2Q = +2.

Step 2. List every ligand and its charge qiq_i: four NH3\text{NH}_3 (q=0q = 0 each), one H2O\text{H}_2\text{O} (q=0q = 0), one Cl−\text{Cl}^- (q=−1q = -1). The total ligand charge is ∑iniqi=4(0)+1(0)+1(−1)=−1\sum_i n_i q_i = 4(0) + 1(0) + 1(-1) = -1.

Step 3. Apply Equation 1: x+(−1)=+2x + (-1) = +2, so x=+3x = +3. Cobalt is in the +3+3 oxidation state.

Step 4. Build the name. Alphabetise the ligand roots (ignoring multiplying prefixes): ammine, aqua, chloro — that order is already alphabetical, so the name reads tetraammine (4 NH3\text{NH}_3), aqua (1 H2O\text{H}_2\text{O}), chloro (1 Cl−\text{Cl}^-), followed by the metal name with its Roman-numeral oxidation state, and finally the outer counter-ion named as "chloride":

tetraamminaquachlorocobalt(III) chloride\textbf{tetraamminaquachlorocobalt(III) chloride}

Final answer: cobalt is +3, and the full IUPAC name is tetraamminaquachlorocobalt(III) chloride.

Competitive stretch

Extend the same logic to geometry with the classic cisplatin pair. [Pt(NH3)2Cl2][\text{Pt(NH}_3)_2\text{Cl}_2] is square planar, giving two geometric isomers: cis (the two NH3\text{NH}_3 adjacent, 90 degrees apart) and trans (each pair diagonally opposite, 180 degrees apart). Neither is optically active — the molecular plane itself is a mirror plane, so both are achiral. Yet only cis is the drug cisplatin: its chloride ligands, displaced by water inside a cell, bridge two adjacent guanine bases on DNA because the labile sites sit 90 degrees apart, distorting the double helix and blocking replication. Trans-platin's labile sites are 180 degrees apart, unable to make that cross-link, so it is essentially inactive. Geometry alone, not electronic structure, is the difference.

Common traps

  • Alphabetising by the multiplying prefix instead of the ligand root. "Diammine" is filed under "a" (ammine), not "d" — strip di/tri/tetra/bis/tris/tetrakis before ordering ligand names.
  • Dropping or mis-signing the oxidation-state Roman numeral. Always apply Equation 1 explicitly — sum the ligand charges, then solve for the metal — rather than recalling a metal's "usual" oxidation state, which can be wrong for that specific complex.
  • Assuming all cis/trans pairs behave alike. Cisplatin versus trans-platin shows that identical formula and identical bonding can still mean the difference between a life-saving drug and a biologically inert isomer, purely from geometry.
  • Confusing coordination isomerism with ionisation isomerism. Coordination isomerism swaps ligands between two different complex ions in a salt built from a complex cation and a complex anion; ionisation isomerism swaps a ligand with a simple counter-ion outside a single complex ion.

Ask the tutor: want to work through why [Co(en)3]3+[\text{Co(en)}_3]^{3+} is chiral while [Co(NH3)6]3+[\text{Co(NH}_3)_6]^{3+} is not, or practice naming a tricky polynuclear bridged complex?

Why does bis- replace di- for ethylenediamine but not for chloro or ammine?

The simple multiplying prefixes di-, tri-, tetra- are reserved for simple, unambiguous ligand names like chloro or ammine. Ethylenediamine already contains "di" inside its own name, so prefixing another "di" (diethylenediamine) would be ambiguous — is it two ligands, or one ligand called "diethylenediamine"? IUPAC resolves this by switching to bis-, tris-, tetrakis- with the ligand name in parentheses, bis(ethylenediamine), whenever the ligand name is itself complex, polydentate, or already carries a multiplying prefix.

If cisplatin and trans-platin have the exact same molecular formula, why is only one a drug?

Molecular formula only tells you the atoms present, not how they are arranged in space — and coordination chemistry is a case where arrangement decides function almost entirely. Cisplatin's two chloride ligands sit 90 degrees apart, which is exactly the spacing needed to bond to two adjacent guanine bases on a single DNA strand and kink the double helix, blocking replication. Trans-platin's chlorides are 180 degrees apart, geometrically unable to reach the same two bases, so it cannot form that crippling cross-link and is essentially inactive against cancer. This is why "same formula" is never a proxy for "same chemistry" once isomerism is in play.

Is optical isomerism possible for square planar complexes like cisplatin?

No, not for a simple MA2B2\text{MA}_2\text{B}_2 or MA3B\text{MA}_3\text{B} square planar complex. A square planar geometry is flat, and the molecular plane itself acts as an internal mirror plane, so the molecule is always superimposable on its own mirror image — it is achiral by symmetry. Optical isomerism in coordination chemistry needs a geometry with no such internal mirror plane, which is why it shows up almost exclusively in octahedral complexes carrying chelating (multi-toothed) ligands, such as [Co(en)3]3+[\text{Co(en)}_3]^{3+}, rather than in square planar ones.

Before this

Where this leads