Chemistry · Inorganic Chemistry

Coordination Compounds formulas for JEE

Every Coordination Compounds formula you need for JEE, grouped by concept.

FormulasRevision notes
8 formulas3 concepts
01Coordination Compounds Basics02Bonding in Coordination Compounds03Coordination Properties
01

Coordination Compounds Basics

1 formula

Effective Atomic Number (EAN)

EAN=Z−O.S.+2×C.N.\text{EAN} = Z - \text{O.S.} + 2 \times \text{C.N.}

Sidgwick's EAN rule to predict the stability of coordination compounds.

applies whenOften applicable to metal carbonyls where EAN equals the atomic number of the next noble gas. Z = atomic number of central metal.
eansidgwickjee-advanced
02

Bonding in Coordination Compounds

4 formulas

CFSE for Octahedral Complexes

CFSE=(−0.4nt2g+0.6neg)Δo+mP\text{CFSE} = \left( -0.4 n_{t_{2g}} + 0.6 n_{e_g} \right) \Delta_o + mP

Crystal Field Stabilization Energy calculation for a transition metal in an octahedral crystal field.

applies whenmm is the number of newly paired electron pairs. Δo\Delta_o is octahedral splitting energy, PP is pairing energy.
cfseoctahedraljee-advanced

CFSE for Tetrahedral Complexes

CFSE=(−0.6ne+0.4nt2)Δt+mP\text{CFSE} = \left( -0.6 n_{e} + 0.4 n_{t_2} \right) \Delta_t + mP

Crystal Field Stabilization Energy calculation for a transition metal in a tetrahedral crystal field.

applies whenmm is the number of newly paired electron pairs. Δt\Delta_t is tetrahedral splitting energy, PP is pairing energy.
cfsetetrahedraljee-advanced

Tetrahedral vs Octahedral Splitting Energy

Δt=49Δo\Delta_t = \frac{4}{9} \Delta_o

Mathematical relationship between the crystal field splitting energy in tetrahedral and octahedral complexes.

applies whenValid for the same metal ion, same ligands, and same metal-ligand internuclear distances.
crystal-fieldsplitting-energy

Werner's Valency Equivalence

Primary Valency=O.S.,Secondary Valency=C.N.\text{Primary Valency} = \text{O.S.}, \quad \text{Secondary Valency} = \text{C.N.}

Equivalence between Werner's classical valencies and modern coordination chemistry terms.

werner-theoryvalencyoxidation-state
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03

Coordination Properties

3 formulas

Standard Free Energy of Complex Formation

ΔG∘=−2.303RTlog⁡10βn\Delta G^\circ = -2.303 RT \log_{10} \beta_n

Thermodynamic relation between standard free energy change and overall stability constant.

applies whenConstant temperature and pressure.
thermodynamicsstabilityjee-advanced

Spin-Only Magnetic Moment

μ=n(n+2) BM\mu = \sqrt{n(n+2)} \text{ BM}

Calculates the magnetic moment of a coordination complex based on its number of unpaired electrons.

applies whenAssumes negligible orbital contribution to the total magnetic moment. n = number of unpaired electrons.
magnetic-momentspin-onlymagnetism

Overall Stability Constant

βn=K1×K2×⋯×Kn\beta_n = K_1 \times K_2 \times \dots \times K_n

Overall stability constant of a complex as the product of stepwise stability constants.

applies whenValid for stepwise formation of complex in solution.
stability-constantequilibriumjee-advanced
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