IB Chemistry HL Topic 3 — Classification of Matter Paper 1 & 2 HL only ~13 min read

Cis-Trans Isomers

Up to now, isomers have differed in the order the atoms are joined. Here the order is identical — every atom is bonded to exactly the same neighbours — and the molecules are still different substances, because one part of the molecule cannot rotate to match the other. Everything on this page comes back to that one idea: something is stopping the spin.

📘 What you need to know

Where cis-trans isomerism sits

Isomerism has a family tree, and it is worth seeing the whole thing once so you know which branch you are on.

Where cis-trans isomers fit in ISOMERS Are the atoms joined together in the same order? NO YES STRUCTURAL ISOMERS the atoms are joined up in a different order branched chain isomers positional isomers functional group isomers covered in full on the previous page STEREOISOMERS same order, but a different shape in space CONFORMATIONAL single bonds still rotate freely CONFIGURATIONAL rotation is blocked, so shapes are locked CIS / TRANS ISOMERS rotation blocked by a C=C double bond or by a ring OPTICAL ISOMERS mirror images that cannot be laid on top of each otherCis-trans isomers are configurational stereoisomers: same connections, locked shape.
The single question that splits the tree is whether the atoms are joined in the same order. Answer that first and you know immediately whether you are looking at structural isomers or stereoisomers.

Conformational isomers: rotation is free

A single carbon–carbon bond is a sigma bond, and a sigma bond is symmetrical about its axis. That means the two ends can spin without weakening the bond at all. Ethane is the simplest case: looking straight down the C–C bond, the hydrogens on the front carbon can be lined up with those at the back (eclipsed) or turned 60° away from them (staggered).

Cyclohexane does the same trick in a ring, flipping between a chair shape and a boat shape. The chair is more stable; the boat has four eclipsed bonds and its two end hydrogens crowd each other, which strains the ring.

Conformational isomers are worth understanding but they are not what exam questions on isomerism usually want. If a question asks you to “draw the two isomers”, it almost always means configurational ones — the sort you could actually put in two separate bottles.

Why a double bond changes everything

A C=C is one sigma bond plus one pi bond. The pi bond is formed from p orbitals overlapping above and below the axis, so to rotate one end you would have to break that overlap. That costs far too much energy at ordinary temperatures, and so the two ends are locked.

Why a double bond locks the shape A single bond spins; a double bond cannot SINGLE BOND: SIGMA ONLY C C the two ends spin freely so no fixed cis or trans arrangement DOUBLE BOND: SIGMA + PI C C the pi bond holds them still so the groups stay where they areGroups on a single bond swap sides by spinning; groups on a C=C cannot. That is what makes cis and trans two genuinely different molecules.
The blue lobes are the pi bond, formed above and below the line joining the two carbons. Twisting one end by 90° would pull those lobes out of overlap and destroy the pi bond entirely.
Rings do the same job. A cyclic alkane has only single bonds, but the ring itself holds the carbons in place — a carbon cannot rotate without dragging the whole ring round with it. So cis-trans isomerism also happens in rings, with groups either both on the same face of the ring or on opposite faces.

The condition for cis-trans isomerism

A double bond is necessary but not sufficient. You also need each carbon of the C=C to carry two different groups. If either carbon has two identical groups on it, swapping them changes nothing and there is only one molecule.

When does cis-trans isomerism happen? Each carbon of the C=C needs two different groups on it CIS C C CH₃ H CH₃ H cis-but-2-ene both CH₃ on the same side boils at 3.7 °C TRANS C C CH₃ H H CH₃ trans-but-2-ene one up and one down boils at 0.9 °C NO CIS-TRANS C C CH₃ CH₃ H H 2-methylpropene left carbon has two identical CH₃ groupsIf either carbon carries two identical groups, there is only one molecule. Swapping two things that are the same does not give you anything new.
Try the swap test on the right-hand molecule: exchange the top and bottom methyl groups and you get back exactly the same structure. That is the quickest way to check whether cis-trans isomerism is possible.

🧩 Testing for cis-trans isomerism

  1. Find something that blocks rotation — a C=C double bond, or a ring. No block means no cis-trans isomers.
  2. Look at the first carbon of the double bond. List the two groups on it. If they are identical, stop: there are no cis-trans isomers.
  3. Look at the second carbon and do the same. Again, two identical groups means stop.
  4. Both carbons pass? Then two isomers exist. Draw one with the two “bigger” groups on the same side and label it cis.
  5. Draw the second by moving one group to the other side, and label it trans. Check the two drawings are genuinely different.

Cis and trans really are different substances

Because you cannot interconvert them without breaking the pi bond, cis and trans isomers can be separated, bottled and measured independently. Their properties differ in two ways worth knowing:

These two trends run in opposite directions, and that is not a mistake in the data. Boiling depends on how strongly individual molecules attract each other; melting depends on how well they stack. Cis wins the first, trans wins the second.

Where cis-trans naming runs out

Cis and trans work when you can point at a pair of matching groups on opposite carbons. Once all four groups round the double bond are different, “same side” is meaningless — same side as what?

You do not need E/Z for IB. The E/Z system was invented to fix exactly this gap, and you may see it in textbooks or older papers as “geometric isomerism”. It is not on the current IB syllabus and will not be assessed, so stick with cis and trans.

Worked examples

WORKED EXAMPLE

State whether each of these shows cis-trans isomerism: propene, but-2-ene, and 1,1-dichloroethene.

Step 1: propene, CH3CH=CH2 Carbon 1 of the double bond carries a CH3 and an H, which are different. Carbon 2 carries two hydrogens. two identical groups on one carbon, so no Step 2: but-2-ene, CH3CH=CHCH3 Each double-bond carbon carries one CH3 and one H, so both pass the test. yes — cis and trans both exist Step 3: 1,1-dichloroethene, CCl2=CH2 One carbon has two chlorines; the other has two hydrogens. Both fail. no only but-2-ene shows cis-trans isomerism Compare 1,1-dichloroethene with 1,2-dichloroethene, which does show it. The numbers in the name are doing real work here.
WORKED EXAMPLE

Explain why cis-but-2-ene and trans-but-2-ene can be separated from each other, but the staggered and eclipsed forms of ethane cannot.

Step 1: identify what would have to happen to interconvert each pair Cis to trans needs one end of the double bond to rotate by 180°. Staggered to eclipsed needs the single bond in ethane to rotate by 60°. Step 2: work out the energy cost of each rotation Rotating a C=C means pulling the p orbitals of the pi bond out of overlap, which effectively breaks the pi bond. Rotating a sigma bond costs almost nothing, because a sigma bond is symmetrical about its axis. Step 3: link the energy cost to whether they can be isolated The pi bond is far too strong to break at room temperature, so each isomer stays as it is. Ethane’s conformers swap over billions of times a second. the pi bond blocks rotation, so cis and trans are separable; ethane’s sigma bond does not This is the difference between configurational and conformational isomers, in one sentence.
WORKED EXAMPLE

Cis-1,2-dichloroethene boils at 60 °C and the trans isomer boils at 48 °C. Explain the difference.

Step 1: compare the shapes In the cis isomer both C–Cl bonds point to the same side of the double bond. In the trans isomer they point to opposite sides. Step 2: work out the overall dipole in each Each C–Cl bond is polar. In the cis isomer the two bond dipoles point roughly the same way, so they add together and the molecule has a net dipole. In the trans isomer they point in opposite directions and cancel, so the molecule is non-polar overall. Step 3: link dipole to intermolecular forces cis: dipole-dipole plus London forces trans: London forces only the cis isomer is polar, so its stronger intermolecular forces need more energy to overcome Answer with the dipoles and the type of force, not just “cis is bigger”. The two molecules have identical formulas and identical masses.

Conformational and configurational compared

FeatureConformational isomersConfigurational isomers
What allows or blocks changefree rotation about a sigma bondrotation blocked by a pi bond or a ring
To interconvert you mustsimply rotate the bondbreak and re-form bonds
Can they be separated?no, they swap constantlyyes
Physical propertieseffectively identicalmeasurably different
Examplesstaggered and eclipsed ethane; chair and boat cyclohexanecis and trans but-2-ene; pairs of optical isomers

💡 Exam tip

⚠ Common mix-up

Up next: Enantiomers — the other branch of configurational isomerism, where two molecules are mirror images that can never be laid on top of each other.

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