Inorganic Chemistry · Part 1 of 9 · Free
Foundations, Nomenclature & Structural Isomerism — formula sheet
Every key expression and definition from Coordination Chemistry, Part 1, on one page. Free to read, no sign-in.
Key expressions
molar conductivity
Λ_m = κ / c (κ = measured conductivity, c = molar concentration)
Λ_m = κ / c (κ = measured conductivity, c = molar concentration)
charge on a coordination entity
charge on entity = (oxidation state of metal) + Σ(ligand charges)
charge on entity = (oxidation state of metal) + Σ(ligand charges)
the link between stability constant and free energy
ΔG° = ΔH° − TΔS° = −RT ln β
ΔG° = ΔH° − TΔS° = −RT ln β
oxidation state of the central atom
oxidation state = (charge on entity) − Σ(ligand charges)
oxidation state = (charge on entity) − Σ(ligand charges)
d-electron count for a transition-metal ion
d^n count = (group number) − (oxidation state), valid where the result lies between 0 and 10
d^n count = (group number) − (oxidation state), valid where the result lies between 0 and 10
effective atomic number
EAN = Z − (oxidation state) + 2 × (number of σ-donor pairs)
EAN = Z − (oxidation state) + 2 × (number of σ-donor pairs)
Definitions worth memorising
Primary valence (Hauptvalenz): the ionisable valence. It is satisfied only by anions, it equals the metal’s oxidation state, and it is non-directional — it says nothing about where anything sits in space. In modern language: the charge that must be balanced by counter-ions.
Secondary valence (Nebenvalenz): the non-ionisable valence. It is satisfied by neutral molecules or anions, it is fixed in number for a given metal ion, and it is directional — the groups satisfying it occupy definite positions in space. In modern language: the coordination number, and the geometry that goes with it.
Central atom (or central ion): the atom that accepts electron pairs — the Lewis acid of the assembly. Usually a d- or f-block metal, but not necessarily a metal at all (BF₄⁻ and SiF₆²⁻ are coordination entities by the same logic).
Ligand: an ion or molecule bound to the central atom through at least one donor atom — the Lewis base. From ligare, to bind.
Donor atom: the specific atom of the ligand that carries the lone pair actually used in bonding. In NH₃ it is nitrogen; in SCN⁻ it may be either sulfur or nitrogen, which is why such ligands get their own name (A.4).
Coordination number (CN): the number of donor atoms directly bonded to the central atom. Count donor atoms, never ligand molecules.
Coordination polyhedron: the geometrical figure traced by the donor atoms — octahedron, tetrahedron, square plane, and so on.
Coordination entity: the whole species inside the brackets, whether it is cationic ([Co(NH₃)₆]³⁺), anionic ([Fe(CN)₆]³⁻) or neutral ([Ni(CO)₄]).
Denticity: the number of donor atoms of a single ligand that bind to the same metal centre. From dens, tooth — a bidentate ligand bites with two teeth.
Hapticity (η^n): the number of contiguous atoms of a ligand’s π system that interact with the metal. Written as a superscript on eta: η²-ethene, η⁵-cyclopentadienyl, η⁶-benzene.
Ambidentate ligand: a ligand with two or more chemically different donor atoms, of which it uses only one at a time. The metal chooses; different choices give linkage isomers (Part C).
Bridging ligand (μ_n): a ligand bound simultaneously to n metal centres. Written μ₂, μ₃, and so on; the subscript is often omitted when it is 2.
Chelate: a complex in which a single ligand binds one metal through two or more donor atoms, forming a ring that includes the metal. From chele, the claw of a crab.
Macrocyclic effect: the extra thermodynamic stability of a complex of a cyclic polydentate ligand relative to its open-chain analogue with the same donor set.
Effective atomic number (EAN): the total electron count on the metal after coordination — its own electrons, adjusted for charge, plus two for every electron pair donated.
18-electron rule: stable organometallic complexes tend to have 18 valence electrons, filling all nine metal valence orbitals. Also called the noble-gas or effective atomic number rule.
Bite angle: the L–M–L angle subtended at the metal by the two donor atoms of a bidentate ligand. It is set largely by the ligand backbone, and a mismatch between the bite angle and the ideal angle for the geometry strains the complex.
Structural (constitutional) isomers: compounds with the same molecular formula in which the atoms are connected differently — different bonds, not merely a different arrangement in space.
Coordination-position isomerism: in a bridged dinuclear complex, the same ligands are distributed differently between the two metal centres while the bridge stays intact.
Where these come from
This sheet is distilled from Coordination Chemistry, Part 1 — 14 sections that derive every one of these results and show you how to use them.
Read Part 1 All formula sheets