Coordination chemistry studies compounds in which a central metal ion is bonded to surrounding molecules or ions called ligands. Transition metals are especially important because their d orbitals allow many bonding patterns, colors, magnetic behaviors, and shapes. These complexes appear in catalysts, pigments, medicines, batteries, and biological systems such as hemoglobin. Understanding their structure helps explain why small changes in ligands can strongly change a compound's properties.

A coordination complex forms when ligands donate lone pairs of electrons to a metal ion, creating coordinate covalent bonds. The number and arrangement of ligands determine the coordination number and geometry, such as octahedral, tetrahedral, or square planar. Crystal field theory explains how ligands split the metal d orbitals into different energy levels, which affects color and magnetism. By comparing ligand strength, oxidation state, and electron count, chemists can predict many properties of transition metal complexes.

Key Facts

  • Coordination number = number of donor atoms directly bonded to the central metal ion.
  • Charge of complex = oxidation state of metal + total charge of all ligands.
  • Common geometries: coordination number 6 is often octahedral, 4 can be tetrahedral or square planar, and 2 is linear.
  • Crystal field splitting in an octahedral complex separates d orbitals into lower t2g and higher eg energy levels.
  • Photon energy for color absorption: E = hf = hc/λ.
  • Spin-only magnetic moment: μ = sqrt(n(n + 2)) BM, where n is the number of unpaired electrons.

Vocabulary

Coordination complex
A compound or ion made of a central metal ion bonded to surrounding ligands through coordinate covalent bonds.
Ligand
An ion or molecule that donates an electron pair to a metal ion to form a coordinate covalent bond.
Coordination number
The number of ligand donor atoms directly attached to the central metal ion.
Crystal field splitting
The separation of metal d orbital energies caused by the electric field of surrounding ligands.
Chelate
A coordination complex in which one ligand binds to the metal through two or more donor atoms, forming a ring.

Common Mistakes to Avoid

  • Counting ligand molecules instead of donor atoms is wrong because a ligand can bind through more than one atom. For example, ethylenediamine is one ligand but contributes two donor atoms.
  • Forgetting ligand charges when finding oxidation state gives the wrong metal charge. Always add the metal oxidation state and ligand charges to match the total complex charge.
  • Assuming every four-coordinate complex is tetrahedral is wrong because some d8 metal ions, such as Pt2+ and Ni2+ in strong fields, often form square planar complexes.
  • Treating all ligands as equally strong is wrong because different ligands cause different d orbital splitting. Strong-field ligands can pair electrons and produce low-spin complexes.

Practice Questions

  1. 1 Find the oxidation state of Fe in [Fe(CN)6]3-. Each CN- ligand has a charge of -1.
  2. 2 A complex absorbs light with wavelength 520 nm. Calculate the photon energy in joules using E = hc/λ, h = 6.626 x 10^-34 J s, and c = 3.00 x 10^8 m/s.
  3. 3 Explain why [Fe(CN)6]3- and [FeF6]3- can have different magnetic properties even though both contain Fe3+ in an octahedral complex.