High Spin vs Low Spin Complexes: Strong Field and Weak Field Ligands

Chemistry · Coordination Compounds · NEET

In an octahedral complex the 5 d-orbitals split into a lower set (t2g) and a higher set (eg). A strong-field ligand (like CN-, CO, NH3) makes this gap big, so electrons pair up in the lower orbitals first. This gives a LOW SPIN complex with fewer unpaired electrons. A weak-field ligand (like F-, Cl-, H2O) makes the gap small, so electrons spread out and stay unpaired. This gives a HIGH SPIN complex with more unpaired electrons. Memory hook: "Strong field = Squeezes electrons together = low spin. Weak field = Wide spread = high spin."
d6 ion (Co3+): same metal, different ligandWeak field (F-) = HIGH SPINt2g4 eg2 : 4 unpaired : paramagneticStrong field (NH3) = LOW SPINt2g6 eg0 : 0 unpaired : diamagneticegt2g↑↓egt2g↑↓↑↓↑↓gap grows
Same Co3+ (d6) ion. With weak-field F- the t2g-eg gap is small, so electrons spread out (high spin, 4 unpaired). With strong-field NH3 the gap is large, so electrons pair in t2g (low spin, 0 unpaired).

Your doubts, answered

How do I decide high spin or low spin in one step?

Look ONLY at the ligand. If the ligand is strong-field (CN-, CO, NH3, NO2-, en), the electrons pair up in the lower t2g orbitals, so the complex is LOW SPIN. If the ligand is weak-field (I-, Br-, Cl-, F-, H2O, C2O4 2-), electrons stay spread out and unpaired, so the complex is HIGH SPIN. You do not need to do the full orbital diagram to answer most NEET questions. Just check: strong = low spin, weak = high spin.

Why does a strong-field ligand pair the electrons?

A strong-field ligand pushes hard on the d-orbitals. This makes the energy gap (called delta, the splitting energy) very large. When the gap is bigger than the energy needed to pair two electrons in one orbital (the pairing energy P), the electrons prefer to pair up in the low t2g orbitals rather than jump up to the high eg orbitals. When delta is large (delta > P), you get low spin. When delta is small (delta < P), it is cheaper to go up, so electrons stay unpaired = high spin.

Does high spin vs low spin even matter for every complex?

No. The high spin / low spin choice only appears for d4, d5, d6 and d7 metal ions in an octahedral field. For d1, d2, d3 there is only one way to fill (the lower t2g fills first, no choice). For d8, d9, d10 the lower set is already full so there is again only one arrangement. So a NEET question about high vs low spin will almost always involve Fe2+/Fe3+/Co3+/Mn3+/Co2+ type ions, which are d4 to d7.

Does high spin always mean paramagnetic and low spin always diamagnetic?

Not exactly. High spin always has MORE unpaired electrons, so it is more strongly paramagnetic. Low spin has FEWER unpaired electrons. Low spin becomes fully diamagnetic (zero unpaired) only when all electrons pair, like d6 low spin (t2g^6 eg^0), which is why [Co(NH3)6]3+ is diamagnetic. But a low spin d5 like [Fe(CN)6]3- still has 1 unpaired electron, so it is still paramagnetic. So say it carefully: low spin = fewer unpaired = weaker paramagnetism (sometimes zero).

Same metal, two ligands. Which is low spin, [Co(NH3)6]3+ or [CoF6]3-?

Both are Co3+ (d6) and both are octahedral, so the ONLY difference is the ligand. NH3 is a strong-field ligand, so [Co(NH3)6]3+ is low spin: t2g^6 eg^0, zero unpaired, diamagnetic. F- is a weak-field ligand, so [CoF6]3- is high spin: t2g^4 eg^2, four unpaired, paramagnetic. This exact pair was asked in NEET 2024. Same metal ion, different ligand strength = different spin state = different magnetic behaviour.

Is tetrahedral always high spin?

Yes, for NEET treat all tetrahedral complexes as high spin. In a tetrahedral field the splitting delta_t is small (delta_t = 4/9 of delta_o for the same metal and ligand). This small gap is almost never bigger than the pairing energy, so electrons never pair up early. So tetrahedral complexes are high spin by default. The high spin / low spin decision really only matters for octahedral complexes.

⚠️ The NEET trap
[Co(NH3)6]3+ and [CoF6]3- are both Co3+ (d6) and both octahedral, so they must have the SAME magnetic behaviour.
They differ because the LIGAND differs. NH3 is strong-field, so [Co(NH3)6]3+ is low spin (t2g^6 eg^0), 0 unpaired, diamagnetic. F- is weak-field, so [CoF6]3- is high spin (t2g^4 eg^2), 4 unpaired, paramagnetic.
🧠 Same metal ion does NOT mean same spin. The ligand decides. Strong ligand pairs, weak ligand spreads.

Real NEET questions

NEET 2024

Statement I: Both [Co(NH3)6]3+ and [CoF6]3- complexes are octahedral but differ in their magnetic behaviour. Statement II: [Co(NH3)6]3+ is diamagnetic whereas [CoF6]3- is paramagnetic. Choose the correct answer.

A · Both Statement I and Statement II are false.
B · Statement I is true but Statement II is false.
C · Statement I is false but Statement II is true.
D · Both Statement I and Statement II are true.
Solution: In both complexes cobalt is Co3+, a d6 ion, and both are octahedral. NH3 is a strong-field ligand, so delta_o is greater than the pairing energy and all six electrons pair up: t2g^6 eg^0, 0 unpaired = low spin, diamagnetic. F- is a weak-field ligand, so electrons stay spread out: t2g^4 eg^2, 4 unpaired = high spin, paramagnetic. So both are octahedral but differ in magnetic behaviour (Statement I true) and the exact assignment (Statement II) is also correct. Answer D.
ReNEET 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: Magnetic moment grows with unpaired electrons. Mn3+ is 3d4 with strong-field CN- so it is low spin t2g^4 = 2 unpaired. Fe3+ is 3d5 with CN- so low spin t2g^5 = 1 unpaired. Co3+ is 3d6 with strong-field NH3 so t2g^6 = 0 unpaired. Ti3+ is 3d1 = 1 unpaired. The most unpaired electrons (2) is in [Mn(CN)6]3-, so it has the highest spin-only moment. Answer A.
NEET 2019

What is the correct electronic configuration of the central atom in K4[Fe(CN)6] based on crystal field theory?

A · t2g^4 eg^2
B · t2g^6 eg^0
C · e^3 t2^3
D · e^4 t2^2
Solution: The complex ion is [Fe(CN)6]4-. Each CN- is -1, so iron is Fe2+, a d6 ion. CN- is a strong-field ligand, giving a large octahedral splitting delta_o that is bigger than the pairing energy. So all six d-electrons pair in the lower t2g set: t2g^6 eg^0 (low spin). Options C and D use e/t2 labels of a tetrahedral field and are distractors. Answer B.

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Frequently asked

What is the simple difference between high spin and low spin?

High spin has the maximum number of unpaired electrons (electrons stay spread out). Low spin has the minimum number of unpaired electrons (electrons pair up in the lower orbitals). Weak-field ligands give high spin; strong-field ligands give low spin.

Which ligands give low spin complexes?

Strong-field ligands give low spin. The common NEET ones are CO, CN-, NO2- (N-bonded), NH3, and en (ethylenediamine). Remember them as the strong end of the spectrochemical series.

Which ligands give high spin complexes?

Weak-field ligands give high spin. The common NEET ones are I-, Br-, Cl-, SCN- (S-bonded), F-, and H2O (H2O is weak to moderate). These are the weak end of the spectrochemical series.

For which d-configurations does high spin vs low spin matter?

Only for d4, d5, d6 and d7 in octahedral complexes. For d1, d2, d3 and d8, d9, d10 there is only one possible filling, so the terms high spin and low spin do not apply.

Is [Fe(CN)6]3- high spin or low spin?

Low spin. Fe3+ is d5, and CN- is a strong-field ligand, so the electrons pair in t2g giving t2g^5 eg^0 with just 1 unpaired electron. It is low spin but still weakly paramagnetic.