Class 12 Chemistry | Chapter 5
Coordination Compounds
Werner's Theory • Nomenclature • Isomerism • VBT • Crystal Field Theory
1. Werner's Theory of Coordination Compounds
Alfred Werner proposed the concept of primary and secondary valencies for metal ions in coordination compounds.
- Primary Valency: Corresponds to the oxidation state of the central metal ion. It is non-directional, ionisable (can be precipitated), and satisfied by negative ions.
- Secondary Valency: Corresponds to the coordination number of the central metal ion. It is directional, non-ionisable, and satisfied by negative ions or neutral molecules (ligands). Every metal has a fixed number of secondary valencies.
1.1 Double Salts vs Complex Salts
- Double Salts: Dissociate completely into simple ions when dissolved in water. Example: Mohr's salt [FeSO4·(NH4)2SO4·6H2O], Potash alum [KAl(SO4)2·12H2O].
- Complex Salts: Contain a complex ion that does not dissociate into simple ions in water. Example: K4[Fe(CN)6] yields 4K+ and [Fe(CN)6]4− ions, but NOT Fe2+ or CN− ions.
2. Definitions of Some Important Terms
- Central Atom/Ion: The atom/ion to which a fixed number of ions/groups are bound in a definite geometrical arrangement around it. It acts as a Lewis acid (electron pair acceptor).
- Ligands: The ions or molecules bound to the central atom/ion. They act as Lewis
bases (electron pair donors).
- Unidentate: Donates one electron pair (e.g., Cl−, H2O, NH3).
- Didentate / Bidentate: Donates two electron pairs (e.g., ethane-1,2-diamine 'en', oxalate ion C2O42− 'ox').
- Polydentate: Donates several electron pairs (e.g., EDTA4− is hexadentate).
- Chelate Ligand: A di- or polydentate ligand that uses its two or more donor atoms to bind a single metal ion, forming a ring structure. Chelate complexes are more stable.
- Ambidentate Ligand: A ligand which can ligate through two different atoms. (e.g., NO2− can bind through N or O; SCN− can bind through S or N).
- Coordination Number (C.N.): The number of ligand donor atoms to which the metal is directly bonded. (Note: A bidentate ligand counts as 2 towards C.N.).
- Coordination Polyhedron: The spatial arrangement of the ligand atoms around the central atom (e.g., octahedral, tetrahedral, square planar).
3. IUPAC Nomenclature of Coordination Compounds
Rules for naming mononuclear coordination compounds:
- The cation is named first in both positively and negatively charged coordination entities.
- The ligands are named in an alphabetical order before the name of the central atom/ion.
- Names of anionic ligands end in -o (e.g., chlorido, cyanido). Neutral ligands use their common names, but there are exceptions: H2O is aqua, NH3 is ammine, CO is carbonyl, NO is nitrosyl.
- Prefixes di-, tri-, tetra-, etc., are used to indicate the number of individual ligands. If the ligand name itself includes a numerical prefix (e.g., ethylenediamine), the terms bis-, tris-, tetrakis- are used, and the ligand name is placed in parentheses.
- If the complex ion is an anion, the name of the metal ends with the suffix -ate (e.g., ferrate for iron, argentate for silver). If the complex ion is a cation or neutral, the metal name is the same as the element.
- The oxidation state of the metal in cation, anion or neutral coordination entity is indicated by Roman numeral in parentheses.
Examples:
[Cr(NH3)3(H2O)3]Cl3 →
triamminetriaquachromium(III) chloride
K3[Fe(CN)6] → potassium hexacyanidoferrate(III)
4. Isomerism in Coordination Compounds
Isomers have the same molecular formula but different arrangements of atoms. They differ in physical and/or chemical properties.
4.1 Structural Isomerism
- Linkage Isomerism: Arises in a coordination compound containing an ambidentate ligand. E.g., [Co(NH3)5(NO2)]Cl2 (with NO2 bonded through N) and [Co(NH3)5(ONO)]Cl2 (bonded through O).
- Coordination Isomerism: Arises from the interchange of ligands between cationic and anionic entities of different metal ions present in a complex. E.g., [Co(NH3)6][Cr(CN)6] and [Cr(NH3)6][Co(CN)6].
- Ionisation Isomerism: E.g., [Co(NH3)5SO4]Br vs [Co(NH3)5Br]SO4. They give different ions in solution.
- Solvate (Hydrate) Isomerism: E.g., [Cr(H2O)6]Cl3 (violet) vs [Cr(H2O)5Cl]Cl2·H2O (grey-green).
4.2 Stereoisomerism
- Geometrical Isomerism: Arises in heteroleptic complexes due to different possible
geometric arrangements of the ligands.
- Square Planar (ML2X2): Can exist as cis (similar ligands adjacent to each other) or trans (opposite to each other). Examples: [Pt(NH3)2Cl2] (cis-platin is used in cancer therapy).
- Octahedral (ML4X2): Can exist as cis and trans.
- Octahedral (ML3X3): Forms fac (facial) and mer (meridional) isomers.
- Optical Isomerism: Chiral molecules that are non-superimposable mirror images of each other. They are called enantiomers (dextro and laevo forms). Common in octahedral complexes involving didentate ligands like [Co(en)3]3+ or cis-[PtCl2(en)2]2+. Trans isomers are usually optically inactive due to a plane of symmetry.
5. Valence Bond Theory (VBT)
Predicts the shape and magnetic properties based on hybridization.
- Coordination Number 4:
- sp3 Hybridization: Tetrahedral shape. Generally with weak field ligands (e.g., [NiCl4]2−).
- dsp2 Hybridization: Square planar shape. Generally with strong field ligands that pair up inner d-electrons (e.g., [Ni(CN)4]2−).
- Coordination Number 6:
- d2sp3 Hybridization: Inner orbital complex. Shape: Octahedral. Occurs when inner (n-1)d orbitals are used (usually with strong field ligands). E.g., [Co(NH3)6]3+.
- sp3d2 Hybridization: Outer orbital complex. Shape: Octahedral. Occurs when outer nd orbitals are used (usually with weak field ligands). E.g., [CoF6]3−.
6. Crystal Field Theory (CFT)
Considers the metal-ligand bond to be completely ionic (electrostatic interaction). When ligands approach the central metal ion, the five degenerate d-orbitals split into two sets of different energies (Crystal Field Splitting).
6.1 Crystal Field Splitting in Octahedral Complexes
The six ligands approach along the x, y, and z axes.
- The orbitals lying strictly on the axes (dx²-y², dz²) experience more repulsion and their energy is raised. This set is called eg.
- The orbitals lying between the axes (dxy, dyz, dzx) experience less repulsion and their energy is lowered. This set is called t2g.
- The energy difference between t2g and eg is called crystal field splitting energy, denoted by Δo.
6.2 Crystal Field Splitting in Tetrahedral Complexes
The four ligands approach between the axes.
- The dxy, dyz, dzx (the t2 set) orbitals are raised in energy.
- The dx²-y², dz² (the e set) orbitals are lowered in energy.
- Splitting energy is smaller. Δt = (4/9) Δo. Because Δt is small, pairing does not usually occur (mostly high spin complexes).
6.3 Spectrochemical Series
Arrangement of ligands in order of increasing field strength:
I− < Br− < SCN− < Cl− <
S2− < F− < OH− <
C2O42− < H2O < NCS− <
edta4− < NH3 < en < CN− < CO
- Weak field ligands (e.g., Halogens): Cause small splitting (Δo < P, pairing energy). Electrons do not pair up in t2g but enter eg. Form High spin complexes.
- Strong field ligands (e.g., CN−, CO): Cause large splitting (Δo > P). Electrons pair up in t2g before filling eg. Form Low spin complexes.
6.4 Colour in Coordination Compounds
Colour is due to the excitation of an electron from lower energy d-orbital (e.g., t2g) to a higher energy d-orbital (e.g., eg). This is called d-d transition.
If ligands are removed, splitting disappears, and the substance becomes colourless (e.g., when anhydrous CuSO4 loses water, it becomes white).
7. Bonding in Metal Carbonyls
The metal-carbon bond in metal carbonyls possess both s and p character. The ligand CO is a pi-acid ligand.
This electron transfer from metal to ligand is called back bonding. This creates a synergic effect which strengthens the bond between CO and the metal.
🎓 NEET Previous Year Questions
💡 Rapid Revision
- Werner Theory: Primary valency = Oxidation state (ionizable). Secondary valency = Coordination number (non-ionizable, directional).
- Strong field ligands pair up inner d-electrons leading to low-spin/inner orbital complexes (d²sp³). Weak field ligands don't force pairing, leading to high-spin/outer orbital complexes (sp³d²).
- Δt = (4/9) Δo. Because Δt is small, tetrahedral complexes are rarely low-spin.
- Carbonyls (CO) exhibit synergic bonding (sigma donation to metal + pi back-bonding from metal), creating highly stable complexes.
CLASS 12 CHEMISTRY | NCERT SOLUTIONS
Chapter 5 — Coordination Compounds
22 Solved Questions — IUPAC Naming, VBT, CFT & Isomerism
📝 IUPAC Nomenclature (Q1 – Q6)
(a) Ligands: 6 ammine. Metal: Cobalt. O.S: x + 6(0) = +3 ⇒ x = +3. Anion: chloride.
Name: Hexaamminecobalt(III) chloride
(b) Ligands: 2 ammine, 1 chlorido, 1 methanamine. Alphabetical: ammine, chlorido, methanamine. Metal: Platinum. O.S: x + 2(0) - 1 + 0 = +1 ⇒ x = +2.
Name: Diamminechlorido(methanamine)platinum(II) chloride
(c) Ligands: 6 aqua. Metal: Titanium. O.S: x + 6(0) = +3 ⇒ x = +3. It's an ion.
(a) Cation: Potassium. Complex is Anionic (-4 charge). Ligands: 6 cyanido. Metal: ferrate. O.S: x + 6(-1) = -4 ⇒ x = +2.
Name: Potassium hexacyanidoferrate(II)
(b) Cation: Potassium. Complex is Anionic (-3 charge). Ligands: 3 oxalato. Metal: ferrate. O.S: x + 3(-2) = -3 ⇒ x = +3.
Name: Potassium trioxalatoferrate(III)
(c) Cation: Potassium. Complex is Anionic (-2 charge). Ligands: 4 chlorido. Metal: palladate. O.S: x + 4(-1) = -2 ⇒ x = +2.
(a) Complex cation: [Co(NH₃)₄(H₂O)Cl]²⁺. (Since Co is +3, ligands: 0, 0, -1. Net = +2). Anion is Cl⁻. So we need 2 Cl⁻.
Formula: [Co(NH₃)₄(H₂O)Cl]Cl₂
(b) Complex anion: [Zn(OH)₄]²⁻. (Zn=+2, 4OH⁻=-4. Net=-2). Cation is K⁺. We need 2 K⁺.
Formula: K₂[Zn(OH)₄]
(c) Complex anion: [Al(C₂O₄)₃]³⁻. (Al=+3, 3ox=-6. Net=-3). Cation is K⁺. We need 3 K⁺.
Central atom: Pt(IV).
Ligands: 2 chlorido (Cl⁻), 2 ethane-1,2-diamine (en, neutral).
Charge on complex sphere = +4 (from Pt) + 2(-1) (from Cl) + 0 (from en) = +2.
Anion is nitrate (NO₃⁻). To balance +2 charge, we need two NO₃⁻ ions.
1. Ionisation Isomerism: Because NO₂⁻ and NO₃⁻ can exchange places. E.g., [Co(NH₃)⁵(NO₃)](NO₃)(NO₂).
(a) [Co(H₂O)(CN)(en)₂]²⁺
Let ox state of Co be x. H₂O is neutral (0), CN is -1, en is neutral (0).
x + 0 + (-1) + 2(0) = +2 ⇒ x = +3.
(b) [PtCl⁴]²⁻
💡 VBT & CFT Reasoning (Q7 – Q14)
Co (Z=27) : [Ar] 3d⁷ 4s².
Co³⁺ : [Ar] 3d⁶.
NH₃ is a strong field ligand for Co³⁺. It forces the pairing of electrons in the 3d orbitals.
The 6 electrons pair up in three 3d orbitals, leaving two 3d orbitals vacant (d²sp³ hybridization).
The six vacant d²sp³ hybrid orbitals accept electron pairs from six NH₃ molecules.
Magnetic Behaviour: Diamagnetic (because all electrons are paired).
[NiCl⁴]²⁻: Ni is in +2 oxidation state (3d⁸). Cl⁻ is a weak field ligand, so no pairing of 3d electrons occurs. Two unpaired electrons remain. Hybridization is sp³ (tetrahedral geometry). So it is paramagnetic.
[Ni(CO)⁴]: Ni is in 0 oxidation state (3d⁸ 4s²). CO is a very strong field ligand. It causes the 4s electrons to be pushed back and paired in the 3d orbitals, making it 3d¹⁰. Since all d-orbitals are full, no unpaired electrons exist. Hybridization is sp³. So it is diamagnetic.
In [Fe(CN)₆]⁴⁻, Fe is in +2 oxidation state (3d⁶).
CN⁻ is a strong field ligand. It causes pairing of electrons in 3d orbital against Hund's rule.
Configuration becomes 3d⁶ with all 6 electrons completely paired in three 3d orbitals. Two inner 3d orbitals are vacant.
Hybridization: d²sp³ (Inner orbital complex).
Geometry: Octahedral.
The metal-carbon bond possesses both σ and π character. This is called synergic bonding.
1. σ-bond: Formed by the donation of a lone pair of electrons from the carbonyl carbon into a vacant orbital of the metal.
In an octahedral field, the 5 degenerate d-orbitals split into two sets:
1. eg set (higher energy): dx²-y², dz² orbitals (point directly at ligands along the axes).
2. t2g set (lower energy): dxy, dyz, dzx orbitals (point between the axes).
The arrangement of ligands in order of their increasing field strengths (ability to split d orbitals) is called the spectrochemical series.
Weak field ligands: Cause small crystal field splitting (Δo < P, pairing energy). Electrons do not pair up in lower orbitals easily; they enter higher orbitals forming High-spin complexes.
Pt is in +2 oxidation state. Pt²⁺ has a 5d⁸ configuration.
For entirely 4d and 5d series elements, the crystal field splitting is very large (even with weak ligands, but here we have CN⁻ which is a strong ligand anyway).
Therefore, pairing occurs. Square planar uses dsp² hybridization. The 8 electrons pair up in four inner d-orbitals, leaving one d-orbital empty for hybridization.
H₂O is a weak field ligand (Δo < P). It does not cause forced pairing of 3d electrons in Co³⁺ (3d⁶), so it occupies outer 4d orbitals (sp³d²), resulting in a high spin complex (4 unpaired e⁻).
📈 Isomerism & Applications (Q15 – Q22)
(a) K₃[Co(C₂O₄)₃]:
O.S: K is +1. Oxalate is -2. 3(+1) + x + 3(-2) = 0 ⇒ x = +3.
C.N.: Oxalate is bidentate. 3 × 2 = 6.
d-orbital occ.: Co³⁺ is 3d⁶. Oxalate acts as a strong ligand here, pairing occurs: t2g⁶ eg⁰.
(b) cis-[Cr(en)₂Cl₂]Cl:
O.S: x + 2(0) + 2(-1) - 1(from outer Cl) = 0 ⇒ x = +3.
C.N.: en is bidentate (2×2=4), Cl is unidentate (2). Total C.N. = 6.
[Co(en)₃]³⁺ forms non-superimposable mirror images (enantiomers), typically labelled as Dextro (d or +) and Laevo (l or -) forms.
(Draw Co in center with octahedral geometry, link adjacent positions with 3 curves marked 'en').
Linkage isomerism occurs when a complex contains an ambidentate ligand (can coordinate through more than one atom).
Example 1 (Nitrito): [Co(NH₃)⁵(NO₂)]Cl₂ (yellow, bonded through N) and [Co(NH₃)⁵(ONO)]Cl₂ (red, bonded through O).
(a) Fe(III) cation is Fe³⁺. Complex anion: [Fe(CN)₆]⁴⁻ (since Fe is +2 inside).
To balance charges (+3 and -4), we cross-multiply. We need 4 Fe³⁺ and 3 complex anions.
Formula: Fe₄[Fe(CN)₆]₃ (This is Prussian Blue).
(b) Complex cation: [Co(NH₃)₆]³⁺. Anion: Sulphate (SO₄²⁻).
To balance charges (+3 and -2), we need 2 complex cations and 3 sulphate ions.
Aqueous CuSO₄ exists as [Cu(H₂O)⁴]²⁺ (blue complex).
(a) With KF: F⁻ ligands replace H₂O to form [CuF⁴]²⁻, which is green.
(i) Biological systems: Chlorophyll is a coordination compound of Magnesium. Hemoglobin (red pigment in blood) is a coordination compound of Iron(II). Vitamin B₁₂ is a coordination compound of Cobalt.
[Cu(NH₃)⁴]²⁺: Cu(II) is 3d⁹. Under the strong ligand field of NH₃, the single unpaired electron in the 3d_{x²-y²} orbital gets promoted to the 4p orbital (or hybridization alters to dsp² by using inner 3d). Experimental evidence shows it is square planar (dsp²).
Chelate effect: It refers to the enhanced stability of a complex system containing chelate rings (formed by multi-dentate ligands binding a central metal at multiple points) compared to the stability of a system containing corresponding monodentate ligands.
All questions from NCERT Exercises covering IUPAC, VBT, CFT and Isomerism.
High-Yield Facts & Formulas: Coordination Compounds
Two types of valency: Primary (ionizable, oxidation state) and Secondary (non-ionizable, coordination number).
The central metal atom or ion and the ligands attached to it.
The atom/ion to which a fixed number of ions/groups are bound in a definite geometrical arrangement.
Bound to metal through a single donor atom. (e.g., Cl-, H2O, NH3).
Bound through two donor atoms. (e.g., ethane-1,2-diamine (en), oxalate (ox2-)).
Bound through several donor atoms. (e.g., EDTA, a hexadentate ligand).
Enhanced stability of complexes containing chelate ligands.
Can ligate through two different donor atoms. (e.g., NO2-/ONO-, SCN-/NCS-).
Spatial arrangement of the ligand atoms directly attached to the central atom.
Charge remaining on the central atom after all ligands are removed.
Metal is bound to only one type of ligand group. (e.g., [Co(NH3)6]3+).
Metal is bound to more than one type of ligand group. (e.g., [Co(NH3)4Cl2]+).
Anionic ligands end in -o (e.g., chlorido, sulfato). Neutral keep their name (except aqua, ammine, carbonyl).
Shown by square planar and octahedral complexes. Cis-trans and fac-mer isomerism.
Chiral complexes which are non-superimposable mirror images. Common with chelating ligands in octahedral field.
Occurs in coordination compounds containing ambidentate ligands.
Interchange of ligands between cationic and anionic entities of different metal ions.
Yields different ions in solution despite the same formula. (e.g., [Co(NH3)5SO4]Br).
Isomers which differ by whether water is inside or outside the coordination sphere.
Metal uses hybrid orbitals (sp3, dsp2, d2sp3, sp3d2) to accept electron pairs.
Cause pairing of electrons and usually form inner orbital (low-spin) complexes.
Do not cause pairing and usually form outer orbital (high-spin) complexes.
The energy difference between t2g and eg levels.
Low-spin: Δo > P (Pairing energy). High-spin: Δo < P.
Δt = (4/9) Δo. Orbitals split opposite to octahedral field.
Experimental order of ligands based on splitting power. I- < Br- ... < NH3 < CN- < CO.
Absence of splitting (or d0/d10 configuration) leads to colorless compounds.
Characterized by synergic effect: σ donation from CO to metal and π back-bonding from metal to CO.
Ethylenediaminetetraacetate. Hexadentate ligand with 2 N and 4 O donor atoms.
Total electrons in central atom after coordination. Often equals noble gas atomic number (Sidgwick rule).
Expressed by formation constant (Kf). Higher Kf means greater stability.
Cis-platin for tumors; EDTA for lead poisoning; Penicillamine for copper removal.
RMgX. Organometallic compound where metal is directly bonded to Carbon.
[Fe(η5-C5H5)2]. A sandwich-type organometallic complex.
Exist only in solid state and dissociate into individual ions in water. (e.g., Mohr's Salt).
Retain their identity in solution and do not dissociate into all constituent ions.
Presence of at least one unpaired electron in the central metal ion.
Complex containing metal centers linked by ligands into an infinite array.
Labile complexes undergo fast ligand exchange; Inert complexes undergo slow exchange.
Stabilization of complexes by cyclic polydentate ligands (e.g., Crown ethers).
A coordination compound of Cobalt.
[(PPh3)3RhCl]. Used for hydrogenation of alkenes.
Forms when nd orbitals are used for bonding (sp3d2).
Forms when (n-1)d orbitals are used for bonding (d2sp3).
Does not account for orbital contribution to magnetic moment (significant in some metals).
Essential for photosynthesis, oxygen transport, and enzyme activity.
Metal name ends in -ate (e.g., Ferrate, Platinate).
Ligand must have at least one lone pair of electrons to donate.
Can be Tetrahedral (sp3) or Square Planar (dsp2).
Always Octahedral (d2sp3 or sp3d2).
