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Mistake Bank: Coordination Compounds | Chemca

Mistake Bank: Coordination Compounds | Chemca

The Mistake Bank

Class 12 - Chapter 9: Coordination Compounds

Ligands approach, orbitals split. Make sure your logic doesn't split too. Master the inner complexities of transition metal complexes.

1. Werner's Theory Precipitation

Stoichiometry

Scenario: 1 mole of $CoCl_3 \cdot 4NH_3$ is treated with excess $AgNO_3$. How many moles of $AgCl$ precipitate out?

✖ What Students Do

Student sees exactly 3 Chlorine atoms in the empirical formula.

Answer given: "3 moles of AgCl."

(They completely ignored the coordination sphere boundaries!)

✔ The Correct Way

Only the Primary Valency (Counter Ions) reacts!

Cobalt(III) firmly demands a Coordination Number of 6.
Since there are only 4 $NH_3$ molecules available, two $Cl^-$ ions must step inside the coordination sphere to satisfy the secondary valency.

True structure: $[Co(NH_3)_4Cl_2]Cl$.
Only the single $Cl^-$ completely outside the square bracket is ionizable. Therefore, only 1 mole of $AgCl$ precipitates!

2. Nickel Complexes Hybridization

Valence Bond Theory

Scenario: Determine the hybridization, shape, and magnetic nature of the Tetracyanonickelate(II) ion: $[Ni(CN)_4]^{2-}$.

✖ What Students Do

Student counts 4 ligands and immediately assumes $sp^3$ hybridization, just like in $[NiCl_4]^{2-}$.

Answer given: "Tetrahedral, Paramagnetic."

✔ The Correct Way

Check the Ligand Field Strength!

$Ni^{2+}$ has a $3d^8$ configuration (2 unpaired electrons).
The Cyanide ion ($CN^-$) is a Strong Field Ligand. It forces those two unpaired electrons to pair up against Hund's rule.

This frees up one inner 3d orbital. The hybridization uses this inner orbital: $d + s + p + p$.
Result: $dsp^2$ (Square Planar) and Diamagnetic (all paired).

3. IUPAC Naming of Anionic Complexes

Nomenclature

Scenario: Write the IUPAC name for the complex: $K_3[Fe(CN)_6]$.

✖ What Students Do

Student names the metal normally as they would in simple salts.

Answer given: "Potassium hexacyanoiron(III)."

(Wrong Metal Name! You must check the charge of the coordination sphere.)

✔ The Correct Way

Anionic Complex Metals end in '-ate'!

Because Potassium ($K^+$) is the positive counter-ion, the complex sphere itself $[Fe(CN)_6]^{3-}$ is negatively charged (Anionic).

In anionic complexes, the central metal's Latin name is used with the suffix -ate. Iron becomes Ferrate. (Copper becomes Cuprate, Silver becomes Argentate, etc.)
Correct Name: Potassium hexacyanoferrate(III).

4. Geometric Isomerism in Tetrahedral

Isomerism

Scenario: Can a tetrahedral complex of the type $MA_2B_2$ (e.g., $[Ni(CO)_2(PR_3)_2]$) exhibit Cis-Trans Geometrical Isomerism?

✖ What Students Do

Student thinks: "It has two types of ligands, so I can draw them next to each other (cis) or opposite to each other (trans)."

Answer given: "Yes."

✔ The Correct Way

Tetrahedral positions are ALL Adjacent!

In a perfect tetrahedron ($sp^3$), the bond angle between any two ligands is exactly $109.5^\circ$.
Because every position is equidistant and adjacent to every other position, there is no such thing as being "opposite" (trans) to another ligand.
Answer: No Geometrical Isomerism is possible in Tetrahedral complexes. (Only Square Planar $MA_2B_2$ shows GI).

5. Synergic Bonding & Bond Lengths

Metal Carbonyls

Scenario: Which complex possesses the longest Carbon-Oxygen ($C-O$) bond length? $[Mn(CO)_6]^+$ or $[Fe(CO)_4]^{2-}$?

✖ What Students Do

Student confuses the Metal-Carbon bond with the Carbon-Oxygen bond. They assume that if the interaction is strong, everything shrinks.

✔ The Correct Way

Back Bonding WEAKENS the C-O bond!

In Metal Carbonyls, the metal donates electron density back into the antibonding ($\pi^*$) orbitals of the CO ligand.

$[Fe(CO)_4]^{2-}$ has a highly negative metal center ($Fe^{-2}$), meaning it aggressively back-donates electron density into CO. Adding electrons to an antibonding orbital lowers the C-O bond order, thereby increasing its bond length.
Answer: $[Fe(CO)_4]^{2-}$ has the longest C-O bond.

6. Crystal Field Splitting ($d^4$)

CFT

Scenario: Write the electronic configuration for a $d^4$ central metal ion in an Octahedral field where $\Delta_o > P$ (Splitting energy is greater than Pairing energy).

✖ What Students Do

Student rigidly applies Hund's Rule: "All orbitals must be singly occupied before any pairing occurs."

They place 3 electrons in $t_{2g}$ and 1 electron in $e_g$.

Answer given: $t_{2g}^3 e_g^1$.

✔ The Correct Way

Energy decides! Splitting > Pairing.

Because it is a Strong Field Ligand ($\Delta_o > P$), the energy gap between the lower $t_{2g}$ and higher $e_g$ levels is massive.

It requires less energy for the 4th electron to pair up in the lower $t_{2g}$ level (paying the Pairing energy penalty) than to jump the massive gap to the $e_g$ level.
Correct Configuration: $t_{2g}^4 e_g^0$ (Low Spin complex).

7. Optical Isomerism in Square Planar

Isomerism

Scenario: Can a square planar complex of type $[M(AA)B_2]$ (containing a bidentate ligand) exhibit Optical Isomerism?

✖ What Students Do

Student recalls that Octahedral complexes with bidentate ligands (like $[Co(en)_2Cl_2]^+$) show optical isomerism.

They assume the bidentate ligand makes the square planar complex asymmetric too.

Answer given: "Yes."

✔ The Correct Way

Square Planar complexes are NEVER Optically Active!

For a molecule to be optically active (chiral), it must be non-superimposable on its mirror image. This means it cannot have a Plane of Symmetry.

By definition, a Square Planar complex is flat. The molecular plane itself acts as a horizontal plane of symmetry, cutting through all atoms perfectly in half.
Answer: No, they are always achiral.

8. The Linkage Isomerism Trap

Structural Isomerism

Scenario: Identify the type of isomerism between $[Co(NH_3)_5(NO_2)]Cl_2$ and $[Co(NH_3)_5(ONO)]Cl_2$.

✖ What Students Do

Student sees the ligand changing inside the bracket and confuses the terminology.

They often call it "Ionization Isomerism" or "Coordination Isomerism."

✔ The Correct Way

Look for Ambidentate Ligands!

The nitrite ion is an Ambidentate Ligand. It can coordinate to the metal using two different donor atoms:
- Via Nitrogen: $-NO_2$ (Nitro form)
- Via Oxygen: $-ONO$ (Nitrito form)

Because the point of attachment (linkage) changes, this is specifically called Linkage Isomerism.

9. Metal Carbonyl Oxidation State

Calculations

Scenario: Calculate the oxidation state of Nickel in Tetracarbonylnickel: $[Ni(CO)_4]$.

✖ What Students Do

Student confuses the Carbonyl ligand ($CO$) with the Oxide ligand ($O^{2-}$), or thinks Carbon donates a charge.

They calculate: $x + 4(-1) = 0 \implies \mathbf{+4}$.

✔ The Correct Way

Carbon Monoxide is a NEUTRAL Ligand!

$CO$ (Carbonyl) carries zero net charge. It is a neutral molecule donating a lone pair.
$$ x + 4(0) = 0 $$ $$ \mathbf{x = 0} $$
Metals in homoleptic carbonyl complexes almost always exist in a remarkably stable Zero (0) Oxidation State!

10. The Brown Ring Complex Trap

Exceptional States

Scenario: Determine the oxidation state of Iron in the Brown Ring test complex: $[Fe(H_2O)_5(NO)]SO_4$.

✖ What Students Do

Student knows sulfate is $-2$, making the complex sphere $+2$.

They assume $NO$ (Nitric oxide) is a neutral ligand like water.

Calculation: $x + 5(0) + 1(0) = +2 \implies \mathbf{Fe \text{ is } +2}$.

✔ The Correct Way

NO acts as Nitrosonium ($NO^+$)!

In this highly specific reaction, the $NO$ ligand actively pulls an electron from the $Fe^{2+}$ ion, oxidizing the iron and reducing itself to the Nitrosonium ion ($NO^+$).
Calculation: $x + 5(0) + 1(+1) = +2$
$$ x + 1 = 2 \implies \mathbf{x = +1} $$
Iron is in a highly unusual +1 Oxidation State in the Brown Ring Complex!

11. The Chelate Effect Driving Force

Thermodynamics

Scenario: Why is $[Cu(en)_2]^{2+}$ immensely more stable than $[Cu(NH_3)_4]^{2+}$ in aqueous solution?

✖ What Students Do

Student focuses entirely on bond strength: "Ethylenediamine forms stronger coordinate covalent bonds than Ammonia."

(Bond enthalpy $\Delta H$ is actually quite similar for both M-N bonds!)

✔ The Correct Way

It is Entropy ($\Delta S$) Driven!

$[Cu(H_2O)_4]^{2+} + 2en \rightleftharpoons [Cu(en)_2]^{2+} + 4H_2O$
Notice the particles: 3 molecules on the left produce 5 molecules on the right.

Because multidentate (chelating) ligands release multiple water molecules for every one ligand attached, the randomness (Entropy, $\Delta S$) of the system increases massively. This makes $\Delta G$ highly negative, driving incredible stability.

12. The Illusion of Color

Physical Properties

Scenario: Predict the color of the aqueous $[Ti(H_2O)_6]^{4+}$ ion.

✖ What Students Do

Student identifies Titanium as a transition metal.

They remember: "Transition metal complexes exhibit beautiful colors due to d-d transitions."

Answer given: "Colored (e.g., purple/blue)."

✔ The Correct Way

Check for d-electrons first!

Color requires an electron to physically jump from the lower $t_{2g}$ level to the higher $e_g$ level (a d-d transition).

Titanium's ground state is $[Ar] 3d^2 4s^2$. When it becomes $Ti^{4+}$, it loses all four valence electrons, resulting in a $3d^0$ configuration.
Because there are zero electrons available to jump, no light is absorbed. The complex is strictly Colorless!

13. Facial and Meridional (Fac-Mer)

Isomerism

Scenario: Which type of geometrical isomerism is exhibited by the Octahedral complex $[Co(NH_3)_3(NO_2)_3]$?

✖ What Students Do

Student tries to apply Cis/Trans labeling, assuming "all next to each other" is Cis and "opposite" is Trans.

Answer given: "Cis and Trans isomers."

✔ The Correct Way

$MA_3B_3$ exclusively forms Fac/Mer Isomers!

Cis/Trans is reserved for $MA_4B_2$ or $MA_2B_2$ types. For exactly 3 of each ligand ($MA_3B_3$), the geometry is different:
- Facial (fac): Three identical ligands occupy one triangular face of the octahedron (all are at $90^\circ$ to each other).
- Meridional (mer): Three identical ligands form an arc around the meridian of the octahedron (one pair is at $180^\circ$).

14. Magnetic Moment Calculation

Formulas

Scenario: Calculate the spin-only magnetic moment ($\mu$) for the complex $K_4[Fe(CN)_6]$.

✖ What Students Do

Student calculates the oxidation state of Fe as +2.

They use the formula $\mu = \sqrt{n(n+2)}$ but plug in the oxidation state ($n=2$) or the total d-electrons ($d^6 \implies n=6$).

Answer given: $\sqrt{2(4)} = 2.82 \text{ BM}$ or $\sqrt{6(8)} = 6.9 \text{ BM}$.

✔ The Correct Way

'n' is the number of UNPAIRED electrons!

1. Fe is +2 $\implies 3d^6$.
2. $CN^-$ is a Strong Field Ligand. It completely forces all 6 electrons to pair up in the lower $t_{2g}$ level.
3. Number of Unpaired Electrons ($n$) = 0.
$$ \mu = \sqrt{0(0+2)} = \mathbf{0 \text{ BM}} $$ The complex is completely diamagnetic!

15. Inner vs Outer Orbital Complex

Hybridization

Scenario: Determine the hybridization of $[CoF_6]^{3-}$ vs $[Co(NH_3)_6]^{3+}$.

✖ What Students Do

Student assumes that since both are octahedral Co(III) complexes, they must have the exact same $d^2sp^3$ hybridization.

✔ The Correct Way

Weak Field = Outer ($4d$), Strong Field = Inner ($3d$)!

Cobalt is $Co^{3+}$ ($3d^6$).
- With $NH_3$ (Strong Field): Electrons pair up. Two inner $3d$ orbitals become empty. Hybridization is $\mathbf{d^2sp^3}$ (Inner Orbital Complex, Low Spin).
- With $F^-$ (Weak Field): Electrons DO NOT pair up. Inner 3d is full. The metal must borrow empty orbitals from the next shell up ($4d$). Hybridization is $\mathbf{sp^3d^2}$ (Outer Orbital Complex, High Spin).

Confess Your Sins!

"Isomers and Hybridization... did you get tangled in the coordination sphere?"

Did one of these catch you? Or do you have a different horror story from your last exam?

Scroll down to the comments section below and tell us:

"Which Coordination Chemistry trap cost you the most marks?"
↓

1 comment:

  1. Anonymous15:26

    Live classes starting on E Acad Sutra

    ReplyDelete

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