IsomerismCourse level: College Extension

Structural Isomers and Stereochemistry

What you'll be able to do: Tell structural isomers from stereoisomers, decide whether an alkene shows cis-trans isomerism, and spot a chiral carbon.

Introduction

Two molecules can share a formula and still be different substances. Sorting out how they differ — connectivity or arrangement in space — is what isomerism is about.

These are recommended, not required. You can start this lesson at any time.

Learning objectives

  • Define isomers and separate structural isomers from stereoisomers
  • Draw chain, position and functional-group isomers for simple formulas
  • Decide whether an alkene shows cis-trans (geometric) isomerism
  • Identify a chiral carbon and describe what enantiomers are

Same formula, different molecule

Isomers share a molecular formula but are distinct compounds with distinct properties. C₄H₁₀ is either butane (bp −0.5 °C) or 2-methylpropane (bp −12 °C). A molecular formula often allows several structures; inspect connectivity before identifying the compound.

Structural (constitutional) isomers

These differ in which atoms are bonded to which. Chain isomers differ in branching (butane vs 2-methylpropane). Position isomers move a group along the chain (1-propanol vs 2-propanol). Functional-group isomers belong to different families altogether (ethanol vs dimethyl ether, both C₂H₆O).

To enumerate an acyclic alkane's constitutional isomers, first draw the longest unbranched skeleton, then shorten the longest chain and place branches at inequivalent positions. For C₅H₁₂: a five-carbon chain gives pentane; a four-carbon chain plus one methyl gives 2-methylbutane; a three-carbon chain with two methyls at the center gives 2,2-dimethylpropane. A branch at an end just lengthens the parent, and flipping a drawing can repeat a previously counted skeleton. Confirm every candidate has five carbons and twelve hydrogens and compare connectivity, not page orientation.

For position isomers, keep the skeleton and family but move the group: propan-1-ol and propan-2-ol both have C₃H₈O. Functional-group isomers instead change the local connections: ethanol and methoxymethane share C₂H₆O but are alcohol and ether. Matching atom counts is required before calling any pair isomers.

C₂H₆O → CH₃CH₂OH (alcohol) or CH₃–O–CH₃ (ether).

Stereoisomers: same connectivity, different arrangement

Stereoisomers have identical bonds but differ in how those bonds point in space. The two kinds you need are cis-trans (geometric) isomers around a rigid double bond or ring, and enantiomers, which are non-superimposable mirror images.

Rotation about an ordinary C–C single bond changes conformation without changing connectivity. Conformers interconvert by such rotations and are not new constitutional isomers. Restricted rotation around C=C can give separately distinguishable geometric isomers because the π overlap must be disrupted to interconvert them. Ring constraints can also produce cis/trans arrangements, but use the ring's geometry rather than the alkene's two-substituents-per-carbon test.

A double bond restricts rotation, locking cis/trans arrangements. At a chiral carbon, exchanging two groups gives the mirror-image enantiomer.

Cis-trans isomerism

A C=C cannot rotate, because the pi bond would have to break. Two different groups on each alkene carbon allow geometric isomerism. When a suitable matching pair of groups is present, cis and trans compare those groups on the same and opposite sides; use E/Z for the general case. If either carbon carries two identical groups, no cis-trans pair exists.

For but-2-ene, each alkene carbon carries H and CH₃, so the two methyl groups can be on the same or opposite sides. But-1-ene has two H on one alkene carbon and cannot give that pair. With four different substituents, the simple cis/trans names may be ambiguous; E/Z uses priority rules separately at each carbon. At first comparison, higher atomic number has higher priority; if tied, compare outward along the groups. Higher-priority groups together give Z and opposite give E. Geometric isomerism requires distinct substituents at both ends, regardless of which notation names it.

Test both alkene carbons. Two identical groups on either one kills geometric isomerism.

Chirality and enantiomers

A tetrahedral carbon bonded to four different groups is a stereogenic center. A molecule with one such center and no compensating symmetry has nonsuperimposable mirror images, giving a pair of enantiomers. With multiple centers, inspect the entire molecule for internal symmetry. Enantiomers share almost every physical property but rotate plane-polarised light in opposite directions and can behave very differently in biology, which is why drug chirality matters.

At C₂ in butan-2-ol, list H, OH, CH₃ and CH₂CH₃: all four are different. Wedge and dashed bonds show bonds projecting toward and behind the page; exchanging two groups changes the configuration at that center. Enantiomers are nonsuperimposable mirror images, with equal ordinary properties in an achiral environment but opposite optical rotations under matching conditions. A racemic equal mixture has no net optical rotation. The sign of rotation is not determined just by an R or S label.

One isolated tetrahedral center with four different groups commonly gives an enantiomeric pair. Multiple stereocenters require checking the whole molecule: internal symmetry can produce a meso compound, as the existing 2,3-dibromobutane example shows. Conversely some molecules are chiral without a tetrahedral carbon center; the center-count test is an introductory tool, not the definition of all chirality.

Opposite configurations at the butan-2-ol stereocenter. Read this visual alongside the section; the text alternative describes its scientific content and assumptions.
Two identical substituents on the same carbon means it is not a chiral centre.

Two stereocenters need not give four stereoisomers

The 2ⁿ count is an upper bound for n stereocenters. An internal symmetry plane can make an R,S arrangement identical to its S,R mirror image, producing a meso compound. The R,R and S,S forms remain a pair of enantiomers.

Check molecular symmetry before claiming the maximum number of stereoisomers.

Look for an internal mirror plane in a candidate meso form.

Key ideas

Definition
Isomers

Different compounds with the same molecular formula.

Definition
Structural isomers

Isomers whose atoms are connected in a different order.

Definition
Stereoisomers

Isomers with the same connectivity but a different spatial arrangement.

Rule
Cis-trans requirement

Restricted rotation plus two different groups on each doubly bonded carbon.

Rule
Chiral centre

A carbon with four different groups attached.

Equation
Degrees of unsaturation

DoU = (2n + 2 − H) / 2

  • n = carbon atoms
  • H = hydrogen atoms
Equation
Alkene test for geometric isomerism

each C of C=C must carry two different groups

  • C=C = the double bond that cannot rotate

Worked examples

Worked example 1

Draw and name all structural isomers of C₅H₁₂.

Try it first: Start with the straight chain, then shorten it by one carbon and branch.

    0 of 4 steps revealed.

    Worked example 2

    Does but-2-ene show cis-trans isomerism? Does but-1-ene?

    Try it first: Write out the groups on each carbon of the double bond.

      0 of 3 steps revealed.

      Worked example 3

      How many stereoisomers are possible for 2,3-dibromobutane, CH₃-CHBr-CHBr-CH₃?

      Try it first: There are two stereocenters, but the ends of the molecule are identical.

        0 of 3 steps revealed.

        Common mistakes

        Common mistakes and better checks
        MistakeWhy it's wrongCheck instead
        Counting the same skeleton twice because it was drawn flipped or rotated.Rotating a drawing does not change connectivity, so it is the same isomer.Name each structure with IUPAC rules; identical names mean identical compounds.
        Assuming every alkene has cis and trans forms.If either doubly bonded carbon carries two identical groups, only one arrangement exists.Check the substituents on both alkene carbons before claiming geometric isomers.
        Calling a carbon chiral without checking all four groups.Two identical substituents mean that carbon is not a stereogenic center; assess the whole molecule before deciding whether some other source of chirality exists.List the four attached groups explicitly and confirm all four differ.

        Scroll horizontally if needed to read all columns.

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        Independent practice

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        What you should now know

        Isomers share a molecular formula but are different compounds. Structural isomers differ in connectivity and come in chain, position and functional-group varieties. Stereoisomers keep the same connectivity and differ in space: cis-trans isomers arise when a non-rotating C=C or ring carries two different groups on each relevant carbon, and enantiomers arise from a carbon bonded to four different groups. Because properties follow structure, isomers of one formula can have very different boiling points and biological behaviour.

        • Same formula plus different structure equals different compound
        • Structural isomers: chain, position and functional-group types
        • Cis-trans needs restricted rotation and two different groups on each alkene carbon
        • A chiral carbon has four different groups; its mirror image is a separate enantiomer
        • More branching means weaker dispersion forces and a lower boiling point

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