Summary of Inorganic Chemistry: Spectra and Complexes

Inorganic Chemistry: Spectra & Complexes - Student Guide

Introduction

Coordination chemistry studies compounds in which a central metal atom or ion binds to surrounding molecules or ions called ligands. These complexes determine many properties of transition-metal chemistry, influence catalysis, bioinorganic function, and materials design.

Definition: A complex is a central metal atom or ion bonded to a group of molecules or ions called ligands. The coordination number (CN) is the number of donor atoms directly bonded to the metal.

Fundamental concepts

Coordination number (CN)

  • CN is the count of ligand donor atoms bound to the metal center.
  • Factors determining CN:
    • Size of the central metal ion (larger ions accommodate higher CN).
    • Steric bulk of ligands (bulky ligands lower CN).
    • Electronic factors (early transition metals with few d-electrons often have higher CN; ligands that form multiple bonds reduce effective CN).

Typical coordination numbers and geometries

Coordination numberCommon geometriesTypical examples and notes
CN = 2Linearce{[Au(CN)2]-}, ce{Hg(CH3)2}
CN = 3Trigonal planarSterically demanding ligands or d^{10} metals
CN = 4Tetrahedral or square planarSmall metal + large ligands → tetrahedral; d^{8} with strong field → square planar
CN = 5Trigonal bipyramidal (TBP) or square pyramidal (SPY)Steric/chelate effects decide; TBP often fluxional (Berry pseudorotation)
CN = 6Octahedral (most common)ce{[Fe(CN)6]^{3-}}, Jahn–Teller distortions possible
CN > 67–12 (seen in 4d/5d and f-block)f-block often CN = 9,10,12; some 3d reach 7
💡 Věděli jste?Did you know that many 4d and 5d metal ions frequently show coordination numbers of 7, 8, or 9 because their larger radii allow more ligand donor atoms to fit around the metal center?

Geometric preferences and examples

  • CN = 4:
    • Tetrahedral: favored by smaller metal ions with large ligands (heavier halides, oxo). Examples: ce{[FeCl4]^{2-}}, ce{[MnO4]-}.
    • Square planar: common for d^{8} metal ions (e.g. Ni^{2+}, Pd^{2+}, Pt^{2+}, Rh^{+}, Ir^{+}, Au^{3+}). Examples: ce{[Pt(NH3)4]^{2+}}, ce{[PdCl4]^{2-}}. Note: 3d d^{8} ions like Ni^{2+} adopt square planar geometry only with strong pi-acceptor ligands (e.g. ce{[Ni(CN)4]^{2-}} is square planar while ce{[NiBr4]^{2-}} is tetrahedral).
  • CN = 5:
    • Two isomers: TBP and SPY. TBP ↔ SPY interconversion can occur via Berry pseudorotation, which exchanges axial and equatorial positions and leads to ligand equivalence in NMR for identical ligands (but IR can distinguish positions).
    • Steric constraints (tripodal or porphyrin ligands) can fix geometry; heme proteins use a roughly square-pyramidal/planar coordination around Fe in porphyrin.
  • CN = 6:
    • Octahedral: highest symmetry and common CN for transition metals. Examples: ce{[Sc(H2O)6]^{3+}}, ce{[Cr(NH3)6]^{3+}}, ce{[Fe(CN)6]^{3-}}.
    • Distortions often arise from electronic effects such as the Jahn–Teller effect.
  • CN > 6:
    • More common for 4d/5d and especially f-block metals. Examples: ce{[V(CN)7]^{4-}}, ce{[Mo(Me)7]-}, ce{[Eu(H2O)9]^{3+}}, cerium complexes with CN = 10 or 12.

Ligands and bonding

Definition: A ligand is an atom, ion, or molecule that donates a lone pair of electrons to a metal center (acts as a Lewis base). The metal that accepts electron pairs is a Lewis acid.

Ligand classification

  • By charge:
    • Neutral ligands (L-type): have a lone pair available without formal electron addition. Examples: NH3 (ammine), H2O (aqua), PPh3.
    • Anionic ligands (X-type): require addition of electron(s) to the donor atom in Lewis structures; examples: Cl^{-} (chlorido), O^{2-} (oxide), R2N^{-}.
  • By denticity:
    • Monodentate: one donor atom (e.g. Cl^{-}, NH3).
    • Bidentate, tridentate, tetradentate, hexadentate: two or more donor atoms from same ligand. Example: ethylenediamine (en) is bidentate; EDTA^{4-} is hexadentate.
  • Ambidentate ligands: can bind through d
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Coordination Chemistry Essentials

Klíčové pojmy: Coordination number (CN) counts donor atoms directly attached to the metal, CN depends on metal size, ligand sterics, and electronic factors, CN = 4 can be tetrahedral or square planar; d^{8} metals favor square planar with strong-field ligands, CN = 5 yields TBP or SPY; TBP often undergoes Berry pseudorotation, CN = 6 is most common: octahedral geometry with possible Jahn–Teller distortion, Ligands classified by charge (L vs X), denticity, and ambidentate/chelating behavior, Naming: ligands alphabetically; metal oxidation state in parentheses; anionic complexes end with -ate, Isomerism includes ionization, hydration, coordination, linkage, geometric and optical isomers, Chelate rings (5- or 6-membered) stabilize complexes (chelate effect), Δ/Λ and C/A descriptors specify handedness for chiral complexes, Ligand choice influences reactivity, catalysis, and biological activity, Berry pseudorotation makes certain TBP ligands equivalent in NMR

## Introduction Coordination chemistry studies compounds in which a central metal atom or ion binds to surrounding molecules or ions called ligands. These complexes determine many properties of transition-metal chemistry, influence catalysis, bioinorganic function, and materials design. > Definition: A complex is a central metal atom or ion bonded to a group of molecules or ions called ligands. The coordination number (CN) is the number of donor atoms directly bonded to the metal. ## Fundamental concepts ### Coordination number (CN) - **CN** is the count of ligand donor atoms bound to the metal center. - Factors determining CN: - Size of the central metal ion (larger ions accommodate higher CN). - Steric bulk of ligands (bulky ligands lower CN). - Electronic factors (early transition metals with few d-electrons often have higher CN; ligands that form multiple bonds reduce effective CN). ### Typical coordination numbers and geometries | Coordination number | Common geometries | Typical examples and notes | |---|---:|---| | CN = 2 | Linear | ce{[Au(CN)2]-}, ce{Hg(CH3)2} | | CN = 3 | Trigonal planar | Sterically demanding ligands or d^{10} metals | | CN = 4 | Tetrahedral or square planar | Small metal + large ligands → tetrahedral; d^{8} with strong field → square planar | | CN = 5 | Trigonal bipyramidal (TBP) or square pyramidal (SPY) | Steric/chelate effects decide; TBP often fluxional (Berry pseudorotation) | | CN = 6 | Octahedral (most common) | ce{[Fe(CN)6]^{3-}}, Jahn–Teller distortions possible | | CN > 6 | 7–12 (seen in 4d/5d and f-block) | f-block often CN = 9,10,12; some 3d reach 7 | > Did you know that many 4d and 5d metal ions frequently show coordination numbers of 7, 8, or 9 because their larger radii allow more ligand donor atoms to fit around the metal center? ### Geometric preferences and examples - CN = 4: - **Tetrahedral**: favored by smaller metal ions with large ligands (heavier halides, oxo). Examples: ce{[FeCl4]^{2-}}, ce{[MnO4]-}. - **Square planar**: common for d^{8} metal ions (e.g. Ni^{2+}, Pd^{2+}, Pt^{2+}, Rh^{+}, Ir^{+}, Au^{3+}). Examples: ce{[Pt(NH3)4]^{2+}}, ce{[PdCl4]^{2-}}. Note: 3d d^{8} ions like Ni^{2+} adopt square planar geometry only with strong pi-acceptor ligands (e.g. ce{[Ni(CN)4]^{2-}} is square planar while ce{[NiBr4]^{2-}} is tetrahedral). - CN = 5: - Two isomers: TBP and SPY. TBP ↔ SPY interconversion can occur via **Berry pseudorotation**, which exchanges axial and equatorial positions and leads to ligand equivalence in NMR for identical ligands (but IR can distinguish positions). - Steric constraints (tripodal or porphyrin ligands) can fix geometry; heme proteins use a roughly square-pyramidal/planar coordination around Fe in porphyrin. - CN = 6: - **Octahedral**: highest symmetry and common CN for transition metals. Examples: ce{[Sc(H2O)6]^{3+}}, ce{[Cr(NH3)6]^{3+}}, ce{[Fe(CN)6]^{3-}}. - Distortions often arise from electronic effects such as the Jahn–Teller effect. - CN > 6: - More common for 4d/5d and especially f-block metals. Examples: ce{[V(CN)7]^{4-}}, ce{[Mo(Me)7]-}, ce{[Eu(H2O)9]^{3+}}, cerium complexes with CN = 10 or 12. ## Ligands and bonding > Definition: A ligand is an atom, ion, or molecule that donates a lone pair of electrons to a metal center (acts as a Lewis base). The metal that accepts electron pairs is a Lewis acid. ### Ligand classification - By charge: - **Neutral ligands (L-type)**: have a lone pair available without formal electron addition. Examples: NH3 (ammine), H2O (aqua), PPh3. - **Anionic ligands (X-type)**: require addition of electron(s) to the donor atom in Lewis structures; examples: Cl^{-} (chlorido), O^{2-} (oxide), R2N^{-}. - By denticity: - **Monodentate**: one donor atom (e.g. Cl^{-}, NH3). - **Bidentate, tridentate, tetradentate, hexadentate**: two or more donor atoms from same ligand. Example: ethylenediamine (en) is bidentate; EDTA^{4-} is hexadentate. - **Ambidentate** ligands: can bind through d