Q.Molecules whose mirror image is non superimposable over them are known as chiral. Which of the following molecules is chiral in nature?
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🔒 Start your 14-day free trial to unlock the full solution →Concept understanding — Geometrical Isomerism Conditions
Geometrical Isomerism: The Intuition
Imagine you have two friends standing on opposite sides of a door. If the door is open, they can walk around and swap places easily — there's no real difference between who is on the left and who is on the right. But if the door is locked shut, they are stuck. One is permanently on the left side, the other on the right. That locked door creates two distinct arrangements: Friend A on the left, Friend B on the right versus Friend A on the right, Friend B on the left.
That locked door is the key idea behind geometrical isomerism.
In chemistry, molecules are three-dimensional. Atoms connected by a single bond can rotate freely — like an open door. But a double bond (or a ring structure) locks the atoms in place. If you have two different groups attached to each carbon of a double bond, you get two distinct spatial arrangements that cannot interconvert without breaking the bond. These are geometrical isomers (also called cis-trans or E-Z isomers).
The Precise Conditions
For a molecule to show geometrical isomerism, it must satisfy two conditions simultaneously:
Condition 1: There must be a restricted rotation around a bond — typically a carbon-carbon double bond (C=C) or a ring structure.
Condition 2: Each of the two atoms (or groups) involved in that restricted rotation must have two different substituents attached to it.
Let's unpack each.
Condition 1: Restricted Rotation
A single bond (C−C) allows free rotation — the atoms spin around the bond axis like a wheel. So no geometrical isomers exist there. A double bond (C=C) has a pi (π) bond that locks the molecule flat. Rotation would break the π bond, which requires a lot of energy (about 250–270 kJ/mol). At room temperature, this rotation simply does not happen.
Rings (like cyclopropane, cyclobutane, etc.) also restrict rotation because the ring is a closed loop — atoms cannot rotate past each other without breaking the ring.
Condition 2: Two Different Substituents on Each End
This is the "different groups" rule. Look at each carbon of the double bond (or each ring carbon involved). If both carbons have two different groups attached, geometrical isomers exist. If even one carbon has two identical groups, there is only one possible arrangement.
A common mistake: students check only one carbon. Both carbons must have two different substituents. If one carbon has two identical groups (like two hydrogens), the molecule is identical in both arrangements — no isomerism.
How to Check: A Step-by-Step Method
Take any molecule with a double bond. Follow these steps:
- Identify the double bond (or ring). Mark the two carbon atoms involved.
- List the two groups attached to the first carbon. Are they different from each other? If yes, proceed. If no → no geometrical isomerism.
- List the two groups attached to the second carbon. Are they different from each other? If yes → geometrical isomerism exists. If no → no geometrical isomerism.
If the two groups on a carbon are identical, the molecule is symmetric about that carbon. Flipping the other side gives the same molecule — no isomers.
Examples to Cement the Idea
Example 1: But-2-ene (CH3CH=CHCH3)
- Carbon 1 of the double bond: attached to CH3 and H → different ✓
- Carbon 2 of the double bond: attached to CH3 and H → different ✓
Result: Two geometrical isomers exist — cis (both methyl groups on the same side) and trans (methyl groups on opposite sides).
Example 2: 1,2-Dichloroethene (ClCH=CHCl)
- Carbon 1: attached to Cl and H → different ✓
- Carbon 2: attached to Cl and H → different ✓
Result: cis and trans isomers exist.
Example 3: 1,1-Dichloroethene (Cl2C=CH2)
- Carbon 1: attached to Cl and Cl → identical ✗ …
Why this formula?
Geometrical Isomerism: Why the Conditions Hold
Geometrical isomerism (also called cis-trans or E-Z isomerism) arises when atoms or groups are arranged differently in space around a rigid part of a molecule — typically a double bond or a ring. The key is that rotation is restricted, so the spatial positions become fixed and distinct.
Let’s break down why the conditions are what they are.
1. The Core Requirement: Restricted Rotation
For two molecules to be geometrical isomers, they must have the same connectivity but different spatial arrangement due to a barrier to rotation.
- Double bonds (C=C): The π-bond locks the two carbons in place — rotation requires breaking the π-bond (energy ~250 kJ/mol), so it doesn’t happen at room temperature.
- Rings (e.g., cycloalkanes): The ring structure physically prevents free rotation about C–C single bonds within the ring.
Why this matters: Without restricted rotation, the molecule would freely interconvert between arrangements — no distinct isomers exist.
2. Condition 1: Two Different Groups on Each Carbon (for C=C)
Consider a general alkene:
C=C
Each carbon must have two different substituents (not counting the other carbon of the double bond).
Why?
- If one carbon has two identical groups (e.g., both H), then swapping the groups on that carbon produces the same molecule — no isomerism.
Example:
- 1,2-dichloroethene (ClHC=CHCl): Each carbon has H and Cl (different) → geometrical isomers exist.
- 1,1-dichloroethene (Cl2C=CH2): One carbon has two Cl (identical) → no geometrical isomers.
Formal condition:
For a C=C bond, geometrical isomerism is possible iff each doubly bonded carbon bears two different substituents.
3. Condition 2: For Rings — Similar Logic
In a ring (e.g., cyclopropane, cyclohexane), the ring itself restricts rotation. Here, geometrical isomerism occurs when two substituents on different ring carbons can be on the same side (cis) or opposite sides (trans).
Why?
- The ring is a closed loop — you cannot rotate one carbon relative to another without breaking bonds.
- If the two substituents are on different carbons, their relative orientation (same side / opposite sides) is fixed.
Condition:
- The ring must have at least two substituents (could be same or different) on different carbons.
- If both substituents are on the same carbon, swapping them doesn’t change the molecule (no isomerism).
Example:
- 1,2-dimethylcyclopropane: Two methyl groups on adjacent carbons → cis and trans isomers exist.
- 1,1-dimethylcyclopropane: Both methyls on same carbon → no geometrical isomerism.
4. The E-Z Notation (Why It’s Needed)
When the four substituents on a C=C are all different, cis-trans naming fails. The Cahn-Ingold-Prelog priority rules assign E (opposite sides) or Z (same side).
Why this works:
- Priority is based on atomic number (higher = higher priority). …
Concept: Chirality requires a carbon bonded to four different substituents (a chiral centre). A molecule is chiral if it is non-superimposable on its mirror image.
Reasoning:
- Check each molecule for a chiral carbon.
- (i) 2-Bromobutane: CH3CHBrCH2CH3 — the second carbon is attached to H, Br, CH3, and CH2CH3 (all different).
- (ii) 1-Bromobutane: CH2BrCH2CH2CH3 — no carbon with four different groups.
- (iii) 2-Bromopropane: CH3CHBrCH3 — the second carbon has two identical methyl groups, so it is achiral. …
A molecule is chiral if it has a carbon atom bonded to four different groups (a chiral centre). Among the given options, only 2-Bromobutane has such a carbon, making it the chiral molecule.
Why chirality matters — and how to spot it
Chirality is a property of molecular handedness: a chiral molecule and its mirror image cannot be superimposed, like your left and right hands. For most organic molecules at the JEE/NEET level, chirality arises from a stereogenic centre — typically a carbon atom with four different substituents. If any two groups on that carbon are identical, the molecule is achiral (it has a plane of symmetry).
So the task is simple: check each molecule for a carbon with four distinct attachments.
Step-by-step analysis
1. 2-Bromobutane
Structure: CH3−CHBr−CH2−CH3
Number the carbons:
- C1: CH3− (three H's, one C — not a chiral centre)
- C2: −CHBr− — this carbon is bonded to:
- a hydrogen (H)
- a bromine (Br)
- a methyl group (CH3−)
- an ethyl group (−CH2CH3)
All four groups are different. Therefore, C2 is a chiral centre. The molecule exists as a pair of enantiomers.
A quick check: if the carbon is attached to four different atoms or groups (count the atoms directly attached, then look at the next sphere if needed), it's chiral. Here, H, Br, CH₃, and CH₂CH₃ are all distinct.
2. 1-Bromobutane
Structure: CH2Br−CH2−CH2−CH3
- C1: −CH2Br — two hydrogens, one bromine, one carbon. Two H's are identical → not chiral.
- C2, C3, C4: each has at least two identical substituents (e.g., two H's on a CH2 group). No chiral centre.
The molecule is achiral. …
Method: Chirality Detection via Asymmetric Carbon (Stereocenter) Analysis
Concept First — Why This Works
A molecule is chiral if it has a non-superimposable mirror image. The most common cause is the presence of an asymmetric carbon (a carbon bonded to four different groups). If no such carbon exists, the molecule is usually achiral (superimposable on its mirror image).
Steps
- Draw the structure of each molecule (condensed or line formula).
- Identify each carbon that is bonded to four different atoms/groups.
- Check for symmetry — even if a carbon has four different groups, the molecule may still be achiral if it has a plane of symmetry.
- Conclude: If at least one asymmetric carbon exists and the molecule lacks a plane of symmetry, it is chiral.
Applying to the Options
(i) 2-Bromobutane
Structure: CH3−CHBr−CH2−CH3
- Carbon-2: bonded to H, Br, CH3, CH2CH3 — four different groups ✓
- No plane of symmetry → Chiral ✓
(ii) 1-Bromobutane
Structure: Br−CH2−CH2−CH2−CH3 …
This is a classic trap in stereochemistry. Let's break down the common mistakes students make when tackling this exact problem, and how to avoid each.
✗ Mistake 1: Confusing "chiral" with "having a chiral centre"
Many students think: If a molecule has a chiral carbon, it must be chiral.
But that's not always true — a molecule can have chiral centres and still be achiral if it has a plane of symmetry (meso compound).
✓ How to avoid:
- Always check for internal symmetry (plane of symmetry) before concluding chirality.
- A chiral centre is a necessary but not sufficient condition for chirality.
✗ Mistake 2: Forgetting to check for symmetry in the whole molecule
Students often look only at one carbon and ignore the rest of the molecule.
For example, in 2-Bromopropan-2-ol (iv), the central carbon has four different groups? Let's check:
- Carbon: attached to –Br, –OH, –CH₃, and –CH₃ → Two identical methyl groups → not a chiral centre.
✓ How to avoid:
- Draw the full structure.
- Check every substituent on the carbon in question — if any two are identical, it's not a chiral centre.
✗ Mistake 3: Assuming all halogenated alkanes are chiral
Just because a molecule has a bromine atom doesn't make it chiral.
Example: 1-Bromobutane (ii) has Br at the end — the carbon with Br is attached to two H atoms → achiral.
✓ How to avoid:
- A carbon must have four different groups to be a chiral centre.
- Count groups carefully: –H counts as a group!
✗ Mistake 4: Misidentifying the chiral centre in 2-Bromobutane
2-Bromobutane (i) has the structure:
CH₃–CHBr–CH₂–CH₃
The carbon with Br is attached to:
- –H
- –Br
- –CH₃
- –CH₂CH₃
All four are different → chiral centre exists.
No plane of symmetry → molecule is chiral.
✓ How to avoid:
- Write the full condensed formula.
- List the four groups explicitly.
- Check for symmetry in the whole molecule.
✗ Mistake 5: Overlooking that 2-Bromopropane is symmetric
2-Bromopropane (iii):
CH₃–CHBr–CH₃
The central carbon is attached to:
- –H
- –Br
- –CH₃
- –CH₃
Two identical methyl groups → not a chiral centre. …
- GUJCET 2025Set 031 markMCQQ.If [Co(NH3)x(NO2)y] shows facial and meridional isomers, identify values of x and y. (A) x=4,y=2 (B) x=2,y=2 (C) x=2,y=4 (D) x=3,y=3
›Reveal solutionSolution
[!TLDR]
fac-mer isomerism requires an MA3B3 octahedral complex, so x=3 and y=3.
Concept
In an octahedral complex, facial-meridional (geometrical) isomerism arises specifically for the MA3B3 stoichiometry: the three identical ligands either share a common face (fac) or lie along a meridian (mer).
Solution …
- GUJCET 2025Set 031 markMCQQ.How many minimum numbers of C-atom containing monohaloalkane shows Optical Isomerism? (A) 6 (B) 4 (C) 3 (D) 5
›Reveal solutionSolution
Optical isomerism needs an asymmetric carbon (four different groups); the smallest such monohaloalkane has 4 carbons.
Concept — chirality. A carbon bonded to four different groups is a stereocentre.
Steps.
- 1, 2, 3 carbons cannot give four different groups on one carbon (e.g. 2-chloropropane's central C has two identical CH3). …
- GUJCET 2024Set 131 markMCQQ.Identify the optically active compound from the following. (A) [Pt(NH3)2Cl2] (B) [Co(NH3)6]Cl2 (C) [Co(en)3]Cl3 (D) [Co(NH3)5Cl]Cl
›Reveal solutionSolution
A tris(bidentate) octahedral complex like [Co(en)3]3+ is chiral (has Δ and Λ enantiomers), so it is optically active.
Concept: Optical activity requires the absence of any symmetry plane/centre.
- [Pt(NH3)2Cl2] (square planar) has a plane of symmetry — optically inactive.
- [Co(NH3)6]2+ and [Co(NH3)5Cl]2+ are symmetric — inactive. …
- GUJCET 2023Set 091 markMCQQ.What kind of isomerism exists between [Cr(H2O)6]Cl3 and [Cr(H2O)5Cl]Cl2⋅H2O? (A) Ionisation (B) Solvate (C) Coordination (D) Linkage
›Reveal solutionSolution
[!TLDR]
Water shifting between the coordination sphere and the lattice makes these solvate (hydrate) isomers.
Concept
Solvate (hydrate) isomerism arises when the number of solvent molecules inside the coordination sphere differs, the extra solvent instead being present as molecules of crystallisation.
Solution …
- GSEB Higher Secondary Certificate (HSC) Examination 2023Set ANNUAL1 markMCQQ.Number of possible isomers for [Cr(H2O)2(C2O4)2]^- are ___.(a) 6(b) 4(c) 2(d) 3
›Reveal solutionSolution
[M(AA)2B2] type: trans (1) + cis (optically active, 2 enantiomers) = 3 isomers.
[Cr(H2O)2(C2O4)2]^- has two bidentate oxalate ligands (AA) and two monodentate water ligands (B), i.e. type [M(AA)2B2].
- Geometric isomers: cis (the two H2O adjacent) and trans (the two H2O opposite). …
- GUJCET 2022Set 171 markMCQQ.How many numbers of Geometrical Isomers of [Pt (NH3) (Br) (Cl) (Py)] will have? (A) 3 (B) 2 (C) 1 (D) 4
›Reveal solutionSolution
Square-planar Mabcd gives exactly 3 geometrical isomers.
Concept. Pt(II) complexes are square planar. For a square-planar complex with four different monodentate ligands (Mabcd), the number of geometrical isomers equals 3 — determined by which ligand sits trans to a chosen reference ligand (the other three each in turn). …
- GSEB Higher Secondary Certificate (HSC) Examination 2022Set ANNUAL1 markMCQQ.For [PtCl2(NH3)2], which type of isomerism is (correctly) possible? (Source scan of the options is severely degraded/illegible even after re-rendering at 6x native resolution with contrast enhancement - see transcriber note.)(a) [illegible in source scan](b) [illegible in source scan](c) [illegible in source scan](d) [illegible in source scan]
›Reveal solutionSolution
The options for this MCQ could not be transcribed from the source scan even at 6x re-render, so the specific correct letter cannot be determined honestly - but the underlying chemistry is answerable.
[PtCl2(NH3)2] is a square planar complex of the type [MA2B2]. This class of complex characteristically exhibits geometrical (cis-trans) isomerism: the cis isomer has the two identical ligands (Cl) adjacent (90° apart) and the trans isomer has them opposite (180° apart). Square planar MA2B2 complexes do NOT show optical isomerism (they have a plane of symmetry in both cis and trans forms), so if the options include 'optical isomerism' that would be the incorrect choice, while 'geometrical (cis …
- GUJCET 2020Set 071 markMCQQ.Which isomerism is possible in hexa ammine cobalt (III) hexa cyanido chromate (III) complex? (A) Ionisation isomerism (B) Co-ordination isomerism (C) Linkage isomerism (D) Solvate isomerism
›Reveal solutionSolution
[Co(NH3)6][Cr(CN)6] has complex cation and complex anion ⇒ coordination isomerism. …
- GUJCET 2019Set 131 markMCQQ.Which of the following complex possess meridional isomer? (A) [Co(NH3)5Cl] (B) [Co(NH3)2Cl4] (C) [Co(NH3)4Cl2] (D) [Co(NH3)3Cl3]
›Reveal solutionSolution
Meridional (mer) and facial (fac) isomers occur only for an octahedral MA3B3 type, i.e. [Co(NH3)3Cl3].
Concept: In an octahedral MA3B3 complex the three identical ligands can occupy three positions around a meridian (mer) or three positions forming a triangular face (fac). This isomerism is unique to the A3B3 pattern.
Steps:
- [Co(NH3)5Cl] = MA5B: no such isomerism. …
- GSEB Higher Secondary Certificate (HSC) Examination 2018Set ANNUAL1 markMCQQ.Which of the following complex ions does not possess optical isomerism?(a) [Co(en)2(NH3)2]^2+(b) [Co(CO)4(en)]^3+(c) [Co(en)(H2O)4]^2+(d) [Co(H2O)3Br3]^3+
›Reveal solutionSolution
[Co(H2O)3Br3] is type MA3B3 (all monodentate); its geometric isomers are achiral, so it has no optical isomerism.
Optical isomerism in octahedral complexes needs a non-superimposable mirror image (no plane of symmetry).
- (a) [Co(en)2(NH3)2]^2+ , type M(AA)2B2: the cis form is chiral -> DOES show optical isomerism.
- (d) [Co(H2O)3Br3]^3+ , type MA3B3 with only monodentate ligands: both the facial (fac) and meridional (mer) arrangements possess a plane of symmetry and are superimposable on their mirror images -> NO optical isomerism. …
- GUJCET 2014Set A1 markMCQQ.Which of the following complex does not show optical isomerism? (A) [Cr(C2O4)3]3− (B) Cis [Pt(Br)2(en)2]2+ (C) [CrCl2(NH3)2en]+ (D) [Cr(NH3)4SO4]+
›Reveal solutionSolution
[!TLDR] [Cr(NH3)4(SO4)]+ has a symmetry plane and is achiral; the other three (tris-oxalato, cis-bis-en, and the en/2NH3/2Cl complex) can be resolved into enantiomers.
Concept
Optical isomerism requires a chiral (dissymmetric) complex — one with no plane and no centre of symmetry. Tris-chelate complexes [M(AA)3] and cis-[M(AA)2X2] / cis-[M(AA)2XY] arrangements are classic chiral octahedral species.
Solution
- (A) [Cr(C2O4)3]3−: tris(oxalato) — chiral, shows optical isomerism.
- (B) cis-[Pt(Br)2(en)2]2+: cis-bis(en) — chiral, shows optical isomerism. …
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