Chemistry · Coordination Compounds

Bonding in Metal Carbonyls

Metal carbonyls are the classic testing ground for the idea that a metal–ligand bond can run in two directions at once. Following NCERT Class 12 §5.6, this note builds the M–CO bond from a $\sigma$ donation paired with a $\pi$ back-donation — the synergic effect that simultaneously strengthens M–C and weakens C–O. NEET examines this through C–O bond-length ordering, IR frequency reasoning, and the geometry and magnetism of $\ce{Ni(CO)4}$, $\ce{Fe(CO)5}$ and $\ce{Cr(CO)6}$.

What Metal Carbonyls Are

A metal carbonyl is a coordination compound in which a transition metal is bonded to carbon monoxide molecules acting as ligands. When the metal binds only CO groups, the compound is called a homoleptic carbonyl. Most transition metals form such carbonyls, and they are notable for having simple, well-defined structures with the metal almost always in a low or zero oxidation state.

What makes carbonyls conceptually rich is the ligand itself. Carbon monoxide is a neutral, two-electron donor that binds through its carbon atom, never the oxygen. On its own CO is a weak base, yet it forms remarkably strong bonds to low-valent metals. Resolving that apparent contradiction is the entire point of the synergic bonding model developed below.

Carbonyls also sit at the boundary between coordination chemistry and organometallic chemistry. The M–C linkage to a carbon-donor ligand is the defining feature of organometallic compounds, which is why NEET frequently pairs carbonyl questions with the broader category of metal–carbon bonded species.

Mononuclear Carbonyls and Their Geometries

Mononuclear carbonyls contain a single metal atom. Their shapes follow directly from the coordination number, and three are essential for NEET:

CarbonylIUPAC nameCoordination No.GeometryOxidation state of M
$\ce{Ni(CO)4}$Tetracarbonylnickel(0)4Tetrahedral0
$\ce{Fe(CO)5}$Pentacarbonyliron(0)5Trigonal bipyramidal0
$\ce{Cr(CO)6}$Hexacarbonylchromium(0)6Octahedral0

Note that the metal is in the zero oxidation state in every case. This is unusual and is itself a clue: a neutral metal centre is electron-rich, which (as we will see) is exactly what is needed to push electron density back onto the CO ligands.

Figure 1 · Carbonyl geometries

The three benchmark mononuclear homoleptic carbonyls and the polyhedron each adopts.

TETRAHEDRAL Ni CO CO CO CO Ni(CO)₄ TRIGONAL BIPYRAMIDAL Fe CO CO CO CO CO Fe(CO)₅ OCTAHEDRAL Cr CO CO CO CO CO CO Cr(CO)₆

Why CO Is a Special Ligand

To understand the M–CO bond, look first at the free CO molecule. It has a triple bond, $\ce{C#O}$, and a lone pair on each atom. Two molecular-orbital features matter:

  • A filled $\sigma$ orbital concentrated on carbon — this is the carbon lone pair that CO donates to the metal.
  • A pair of empty antibonding $\pi^*$ orbitals — these are vacant, low-lying, and able to accept electron density from the metal.

This combination — a $\sigma$ donor that also carries empty $\pi^*$ acceptor orbitals — is what allows the two-way bonding. A ligand that can both donate a $\sigma$ pair and accept metal $\pi$ electron density is called a $\pi$-acceptor (or $\pi$-acid) ligand. CO is the textbook example.

The Synergic M–CO Bond

The metal–carbon bond in metal carbonyls possesses both $\sigma$ and $\pi$ character. Following NCERT §5.6, it is built from two donations going in opposite directions:

  • M–C $\sigma$ bond (ligand → metal): the lone pair on the carbonyl carbon is donated into a vacant orbital of the metal. This is ordinary dative bonding, ligand to metal.
  • M–C $\pi$ bond (metal → ligand): a pair of electrons from a filled $d$ orbital of the metal is donated into the vacant antibonding $\pi^*$ orbital of CO. This is the reverse direction — metal to ligand — and is called back-donation or back-bonding.

The crucial point is that the two donations reinforce each other. As CO donates its $\sigma$ pair to the metal, the metal becomes electron-rich and is better able to back-donate; as the metal back-donates into $\pi^*$, the C–O linkage loosens and CO accepts the $\sigma$ donation more readily. This mutual amplification is the synergic effect, and it strengthens the bond between CO and the metal.

Figure 2 · Synergic bonding

Top arrow: CO carbon lone pair donates into a vacant metal orbital ($\sigma$ donation). Bottom arrows: filled metal $d$ orbital overlaps the empty CO $\pi^*$ orbital ($\pi$ back-donation).

M filled d orbital C O σ donation (C lone pair → M) π back-donation (M d → CO π*) empty π* orbital

Because the $\pi$ contribution arrives from the metal, it is the metal-to-ligand bonding that creates the synergic effect — the ligand-to-metal $\sigma$ alone could not. This is why CO bonds so strongly to low-valent metals despite being a poor classical base.

Related concept

The $\sigma$-donation half of this picture is the same dative-bond idea used to count electrons in Valence Bond Theory of coordination compounds — revise it alongside back-bonding.

Evidence: Bond Lengths and IR Frequency

The synergic model is not just a story — it makes two measurable predictions, both of which are confirmed experimentally and both of which NEET tests.

Bond-length evidence

Pushing electron density into the antibonding $\pi^*$ orbital of CO reduces the C–O bond order. A lower bond order means a longer C–O bond. Simultaneously, the new metal–carbon $\pi$ overlap adds to the existing $\sigma$ bond, raising the M–C bond order and giving a shorter M–C bond. So the two bond lengths move in opposite directions, exactly as the synergic picture demands.

Infrared (IR) evidence

The C–O stretching vibration is sensitive to bond order. Free carbon monoxide absorbs near $2143\ \text{cm}^{-1}$. When CO coordinates to a metal and receives back-donation, the weakened C–O bond vibrates at a lower frequency. The more back-donation, the lower the C–O stretching frequency. This makes the IR stretch a direct, quantitative reporter of how much $\pi$ electron density the metal has transferred.

As back-donation increases…C–O bond orderC–O bond lengthC–O IR frequencyM–C bond strength
More electron density into CO π*DecreasesIncreases (longer)Decreases (lower)Increases (stronger)
NEET Trap

Which bond gets stronger and which gets weaker?

Students often flip the two outcomes. Back-bonding strengthens M–C (the bond being formed) and weakens C–O (because $\pi^*$ is antibonding for C–O). The two always move in opposite directions.

More back-donation → shorter, stronger M–C → longer, weaker C–O → lower C–O IR frequency.

Metal Charge and the Strength of Back-Bonding

How much a metal back-donates depends on how electron-rich it is. A metal carrying extra negative charge has more $d$-electron density to give away, so it back-donates more strongly into CO $\pi^*$. The consequence: across a series of carbonyls differing only in the charge on the metal, the most negative metal produces the longest, weakest C–O bond.

Worked Example

Order the following by increasing C–O bond length: $\ce{Ni(CO)4}$, $\ce{[Mn(CO)6]+}$, $\ce{[Co(CO)4]-}$, $\ce{[Fe(CO)4]^2-}$.

First assign the metal charge in each: Mn is $+1$, Ni is $0$, Co is $-1$, Fe is $-2$. The more negative the metal, the greater the back-donation into $\pi^*$, hence the longer the C–O bond.

Increasing C–O bond length: $\ce{[Mn(CO)6]+} < \ce{Ni(CO)4} < \ce{[Co(CO)4]-} < \ce{[Fe(CO)4]^2-}$. The doubly negative $\ce{[Fe(CO)4]^2-}$ has the maximum back-donation and the longest C–O bond — this is the 2016 NEET answer.

The EAN Rule

The Effective Atomic Number (EAN) rule is a bookkeeping guide to why particular carbonyls are stable. It states that a metal in a stable carbonyl tends to surround itself with enough electrons to reach the configuration of the next noble gas. The EAN is calculated as:

EAN = (atomic number of metal) − (electrons lost to reach its oxidation state) + (electrons donated by all ligands).

Each CO donates two electrons (its $\sigma$ lone pair). For the three benchmark carbonyls, all with the metal in oxidation state $0$, the count works out neatly:

CarbonylZ of metale⁻ from CO ligandsEANNoble gas
$\ce{Ni(CO)4}$284 × 2 = 836Kr
$\ce{Fe(CO)5}$265 × 2 = 1036Kr
$\ce{Cr(CO)6}$246 × 2 = 1236Kr

All three reach $36$, the electron count of krypton, which is why each is stable and why the number of CO groups is fixed at 4, 5 and 6 respectively. The EAN rule also rationalises the diamagnetism of $\ce{Ni(CO)4}$: in the presence of the strong-field CO ligand the metal electrons pair up, leaving no unpaired electrons.

NEET Trap

CO is a strong-field ligand

Because CO is such a good $\pi$-acceptor, it sits at the strong-field end of the spectrochemical series. In $\ce{Ni(CO)4}$ the $d$ electrons pair up, so the complex is diamagnetic with $sp^3$ hybridisation and a tetrahedral shape — contrast $\ce{[NiCl4]^2-}$, which is tetrahedral but paramagnetic because $\ce{Cl-}$ is weak-field.

$\ce{Ni(CO)4}$: tetrahedral, $sp^3$, zero unpaired electrons, diamagnetic.

Polynuclear Carbonyls in Brief

Some carbonyls contain more than one metal atom and are called polynuclear carbonyls. Two are named in NCERT:

  • Decacarbonyldimanganese(0), $\ce{Mn2(CO)10}$, is made of two square-pyramidal $\ce{Mn(CO)5}$ units joined directly by a Mn–Mn metal–metal bond.
  • Octacarbonyldicobalt(0), $\ce{Co2(CO)8}$, has a Co–Co bond bridged by two CO groups. These bridging carbonyls span both metals rather than binding a single one.

Polynuclear carbonyls thus introduce two features absent in mononuclear ones: direct metal–metal bonds and bridging CO ligands. For NEET, the key recall is that $\ce{Ni(CO)4}$ and $\ce{Fe(CO)5}$ are mononuclear, whereas $\ce{Mn2(CO)10}$ and $\ce{Co2(CO)8}$ are dinuclear.

Quick Recap

Bonding in Metal Carbonyls in one screen

  • CO binds through carbon; the M–C bond has both $\sigma$ and $\pi$ character.
  • $\sigma$ donation: carbon lone pair → vacant metal orbital (ligand to metal).
  • $\pi$ back-donation: filled metal $d$ orbital → empty CO $\pi^*$ (metal to ligand).
  • The two reinforce each other — the synergic effect — strengthening M–C and weakening C–O.
  • Evidence: back-bonding lengthens C–O, shortens M–C, and lowers the C–O IR stretch below $2143\ \text{cm}^{-1}$.
  • More negative metal → more back-donation → longest C–O bond (e.g. $\ce{[Fe(CO)4]^2-}$).
  • Geometries: $\ce{Ni(CO)4}$ tetrahedral, $\ce{Fe(CO)5}$ trigonal bipyramidal, $\ce{Cr(CO)6}$ octahedral; all reach EAN 36 (Kr).
  • $\ce{Ni(CO)4}$ is diamagnetic ($sp^3$); polynuclear $\ce{Mn2(CO)10}$ and $\ce{Co2(CO)8}$ have M–M bonds.

NEET PYQ Snapshot — Bonding in Metal Carbonyls

Real NEET previous-year questions on carbonyl bonding, back-donation, geometry and nuclearity.

NEET 2016

Which of the following has the longest C–O bond length? (Free C–O bond length in CO is 1.128 Å)

  1. $\ce{[Co(CO)4]-}$
  2. $\ce{[Fe(CO)4]^2-}$
  3. $\ce{[Mn(CO)6]+}$
  4. $\ce{Ni(CO)4}$
Answer: (2) [Fe(CO)₄]²⁻

The metal charges are Mn $+1$, Ni $0$, Co $-1$, Fe $-2$. The most negative metal ($\ce{Fe^2-}$) has the greatest electron density, so back-donation into the CO $\pi^*$ antibonding orbital is maximum. This minimises the C–O bond order and therefore gives the maximum C–O bond length.

NEET 2018

The geometry and magnetic behaviour of the complex $\ce{[Ni(CO)4]}$ are:

  1. square planar geometry and diamagnetic
  2. tetrahedral geometry and diamagnetic
  3. square planar geometry and paramagnetic
  4. tetrahedral geometry and paramagnetic
Answer: (2) tetrahedral and diamagnetic

In $\ce{Ni(CO)4}$, Ni is $\ce{[Ar]3d^8 4s^2}$. The strong-field CO ligand pairs all electrons, giving $sp^3$ hybridisation, a tetrahedral shape and zero unpaired electrons — hence diamagnetic.

NEET 2018

Iron carbonyl, $\ce{Fe(CO)5}$, is:

  1. tetranuclear
  2. mononuclear
  3. trinuclear
  4. dinuclear
Answer: (2) mononuclear

$\ce{Fe(CO)5}$ contains a single iron atom, so it is a mononuclear carbonyl with a trigonal bipyramidal geometry. Contrast the dinuclear $\ce{Mn2(CO)10}$ and $\ce{Co2(CO)8}$, which contain metal–metal bonds.

NEET 2025

Which of the following are paramagnetic? A. $\ce{[NiCl4]^2-}$ B. $\ce{Ni(CO)4}$ C. $\ce{[Ni(CN)4]^2-}$ D. $\ce{[Ni(H2O)6]^2+}$ E. $\ce{Ni(PPh3)4}$

  1. A, D and E only
  2. A and C only
  3. B and E only
  4. A and D only
Answer: (4) A and D only

$\ce{Ni(CO)4}$ is $sp^3$ with zero unpaired electrons — diamagnetic, the strong-field CO having paired the $d$ electrons. Only $\ce{[NiCl4]^2-}$ and $\ce{[Ni(H2O)6]^2+}$ (weak-field ligands, 2 unpaired electrons each) are paramagnetic.

FAQs — Bonding in Metal Carbonyls

High-yield doubts on synergic bonding, back-donation evidence and carbonyl geometry.

What is synergic bonding in metal carbonyls?

Synergic bonding is the mutually reinforcing combination of two interactions in the M–C bond. The carbon lone pair of CO is donated into a vacant metal orbital forming a σ bond, while a filled metal d orbital donates electron density back into the empty antibonding π* orbital of CO forming a π bond. Each interaction strengthens the other, so the M–C bond is reinforced and the C–O bond is weakened.

Why does back-bonding weaken the C–O bond while strengthening the M–C bond?

In back-bonding the metal pushes electron density into the antibonding π* orbital of CO. Populating an antibonding orbital lowers the C–O bond order and lengthens the C–O bond. At the same time this transfer builds up a metal–carbon π bond on top of the σ bond, raising the M–C bond order and shortening the M–C bond.

How does IR stretching frequency provide evidence for back-bonding?

Free CO absorbs near 2143 cm⁻¹. When CO binds a metal, back-donation into the π* orbital lowers the C–O bond order, so the C–O stretching frequency falls below 2143 cm⁻¹. The greater the back-donation, the lower the frequency, so the IR stretch is a direct probe of how much electron density the metal has pushed onto CO.

Which has the longest C–O bond among carbonyl complexes with different metal charges?

A more electron-rich (more negatively charged) metal centre back-donates more strongly into CO π*, lengthening C–O. Among Ni(CO)4 (Ni 0), [Mn(CO)6]+ (Mn +1), [Co(CO)4]− (Co −1) and [Fe(CO)4]2− (Fe −2), the [Fe(CO)4]2− anion with the most negative metal has the maximum back-donation and therefore the longest C–O bond.

What are the geometries of Ni(CO)4, Fe(CO)5 and Cr(CO)6?

Tetracarbonylnickel(0), Ni(CO)4, is tetrahedral. Pentacarbonyliron(0), Fe(CO)5, is trigonal bipyramidal. Hexacarbonylchromium(0), Cr(CO)6, is octahedral. All three are mononuclear homoleptic carbonyls with the metal in the zero oxidation state.

What is the EAN rule and how does it apply to metal carbonyls?

The Effective Atomic Number rule states that a metal in a stable carbonyl tends to attain the electron count of the next noble gas. EAN equals the metal's electrons minus its oxidation-state electrons plus two electrons donated by each CO. For Ni(CO)4, Fe(CO)5 and Cr(CO)6 the EAN works out to 36, the electron configuration of krypton, which accounts for their stability.