How to Find the Coordination Number and Oxidation State of the Metal

Chemistry · Coordination Compounds · NEET

The coordination number is how many donor atoms (from ligands) are directly bonded to the central metal ion. The oxidation state is the charge the metal would have if you removed every ligand and split the compound; you find it by making the charges of all parts add up to the total charge. Memory hook: count the "hands" the metal holds (coordination number), then balance the "money" so the total charge matches (oxidation state).
Reading a Complex: K4[Fe(CN)6]Coordination sphere (count these)Fe+26 x CN−6 donor atomseach −14 K⁺outside =counter ionCN = 6 (donor atoms inside brackets)Oxidation state: x + 6(−1) = −4 → x = +2
In K4[Fe(CN)6], only the six CN- donor atoms inside the square brackets count toward the coordination number (CN = 6). The four K+ are counter ions outside the sphere. To get the oxidation state, balance the charges inside the brackets: x + 6(-1) = -4, so iron is +2.

Your doubts, answered

What exactly is the coordination number of a metal in a complex?

The coordination number (CN) is the number of donor atoms that are directly bonded to the central metal ion inside the coordination sphere (the square brackets). Important: you count donor ATOMS, not ligand molecules and not charges. In [Co(NH3)6]3+, six NH3 molecules each donate one N atom, so CN = 6. Only look inside the square brackets. Ions written outside the brackets (counter ions) are NOT counted.

How do I find the oxidation state of the metal step by step?

Step 1: Write the overall charge of the complex ion (inside the brackets). Step 2: Add up the charges of all the ligands (neutral ligands like NH3 and H2O are 0; Cl- is -1; CN- is -1; OH- is -1). Step 3: Let the metal charge be x, then solve x + (sum of ligand charges) = charge of the complex ion. Example: in [Fe(CN)6]3-, x + 6(-1) = -3, so x = +3. Iron is in the +3 oxidation state.

Is the coordination number the same as the valency or the oxidation state?

No. These are three different things. Coordination number = how many donor atoms are attached (a counting number, always positive). Oxidation state = the charge on the metal (can be +, - or 0). They are often different. In [Co(NH3)6]3+, the coordination number is 6 but the oxidation state is +3. Do not mix them up. NEET often tests both in one question, so keep them separate.

Do I count the ions outside the square brackets?

No. Only donor atoms inside the coordination sphere (the square brackets) count toward the coordination number. Ions written outside the brackets are counter ions (they balance the total charge only). Example: in [Cr(H2O)6]Cl3, the three Cl- are outside, so they do NOT add to the coordination number. Chromium is bonded only to six water molecules, so CN = 6, and its oxidation state is +3.

How do bidentate ligands change the coordination number?

A bidentate ligand donates TWO atoms to the metal, so it counts as 2 toward the coordination number. Example: ethylenediamine (en) has two nitrogen donor atoms. In [Co(en)3]3+, there are 3 en ligands but 3 x 2 = 6 donor atoms, so CN = 6. Always count donor atoms, not the number of ligand molecules. This is a very common NEET trap.

How do I find the oxidation state when the metal has water of crystallisation outside?

Water written outside the coordination sphere (as .xH2O) is water of crystallisation. It is neutral and outside the brackets, so it does NOT affect the coordination number and does NOT change the ligand charge sum. Only count the ligands inside the square brackets. Example: in [Cr(H2O)4Cl2]Cl.2H2O, only 4 H2O and 2 Cl- (inside) matter: CN = 6, and Cr charge: x + 4(0) + 2(-1) = +1 (charge of complex ion) gives x = +3.

⚠️ The NEET trap
Counting the number of ligand molecules as the coordination number, so students say [Co(en)3]3+ has coordination number 3.
Count donor ATOMS, not molecules. Ethylenediamine (en) is bidentate and donates 2 atoms each, so [Co(en)3]3+ has coordination number 6, not 3.
🧠 Bidentate = two hands. 3 ligands x 2 hands = 6. Always count hands (donor atoms), never faces (molecules).

Real NEET questions

NEET 2023

Type of isomerism exhibited by the compounds [Cr(H2O)6]Cl3, [Cr(H2O)5Cl]Cl2.H2O and [Cr(H2O)4Cl2]Cl.2H2O, and the value of the coordination number (CN) of the central metal ion in all these compounds, respectively, is:

A · Ionisation isomerism, CN = 4
B · Solvate (hydrate) isomerism, CN = 6
C · Geometrical isomerism, CN = 4
D · Optical isomerism, CN = 4
Solution: These three compounds have the same formula but differ in how many water molecules sit inside the coordination sphere versus outside as water of crystallisation. That is solvate (hydrate) isomerism. For the coordination number, count only the donor atoms INSIDE the square brackets: [Cr(H2O)6] has 6 water donors; [Cr(H2O)5Cl] has 5 water + 1 Cl = 6 donors; [Cr(H2O)4Cl2] has 4 water + 2 Cl = 6 donors. In every case chromium is bonded to six donor atoms, so CN = 6. (Cr oxidation state is +3 in all three.) Answer: (B).
Re-NEET 2026

Among the species below, the spin-only magnetic moment is highest for: (Atomic numbers: Ti = 22, Mn = 25, Fe = 26, Co = 27)

A · [Mn(CN)6]3-
B · [Fe(CN)6]3-
C · [Co(NH3)6]3+
D · [Ti(H2O)6]3+
Solution: The FIRST step in this question is to find each metal's oxidation state using ligand charges. In [Mn(CN)6]3-: x + 6(-1) = -3, so Mn = +3 (d4). In [Fe(CN)6]3-: x + 6(-1) = -3, so Fe = +3 (d5). In [Co(NH3)6]3+: NH3 is neutral, so x = +3 (d6). In [Ti(H2O)6]3+: H2O neutral, so Ti = +3 (d1). Now count unpaired electrons: with strong-field CN-/NH3 these are low spin: Mn3+ (d4) t2g4 -> 2 unpaired; Fe3+ (d5) t2g5 -> 1 unpaired; Co3+ (d6) t2g6 -> 0 unpaired; Ti3+ (d1) -> 1 unpaired. Most unpaired electrons (2) is in [Mn(CN)6]3-, so it has the highest spin-only moment. Answer: (A). Notice you could not start without correctly finding oxidation states.

Solved Coordination Compounds NEET PYQs

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Frequently asked

What is the difference between coordination number and oxidation state?

Coordination number is how many donor atoms are bonded to the metal (a positive counting number). Oxidation state is the charge on the metal (can be +, -, or 0). For example, in [Co(NH3)6]3+, CN = 6 and oxidation state = +3.

How do you find the oxidation state of iron in K4[Fe(CN)6]?

K is +1 (four K = +4). Each CN- is -1 (six CN = -6). The whole compound is neutral, so +4 + x + (-6) = 0, giving x = +2. Iron is in the +2 oxidation state, and its coordination number is 6.

Do neutral ligands like NH3 and H2O affect the oxidation state?

No. Neutral ligands carry zero charge, so they do not change the metal's oxidation state calculation. But they DO count toward the coordination number because they still donate a lone pair to the metal.

What is the maximum coordination number seen in NEET-level complexes?

For NEET, the most common coordination numbers are 4 and 6, with 6 (octahedral) being the most frequent. You may occasionally see 2 (like in [Ag(NH3)2]+). Coordination number 6 is the one to expect most often.

Why does the coordination number matter for NEET?

The coordination number decides the geometry (shape) and hybridisation of the complex, which then decides isomerism, magnetic behaviour, and colour. Many NEET questions cannot be started without first finding the coordination number and oxidation state, so this is a base skill for the whole chapter.