IB CHEMISTRY • STRUCTURE: CLASSIFICATION OF MATTER

Apply Organic Functional Groups — Apply Structure 3.2—Functional groups: Classification of organic compounds in problem-solving and explanations

Learn to identify, classify, and apply functional groups to predict the behavior of organic molecules.

Historical Context & Motivation

For centuries, chemists struggled to make sense of the enormous variety of carbon-containing substances found in living organisms and synthesized in the laboratory. Early scientists separated chemicals into two broad camps — organic (derived from living things) and inorganic (derived from minerals). The idea that organic molecules possessed a mysterious "vital force" persisted until laboratory breakthroughs proved otherwise, opening the door to the systematic classification of carbon compounds by their functional groups.

1828
Wöhler's Urea Synthesis
Friedrich Wöhler synthesized urea (an organic compound) from ammonium cyanate (an inorganic salt), disproving the vitalism theory and showing organic molecules could be made without living organisms.
1858
Kekulé's Carbon Tetravalence
August Kekulé proposed that carbon atoms form four bonds and can link together in chains and rings, establishing the structural basis for organic chemistry.
1860s–1880s
Rise of Functional-Group Theory
Chemists such as Butlerov and Kolbe realized that specific atom clusters — hydroxyl (−OH), carbonyl (C=O), carboxyl (−COOH) — dictate a molecule's reactivity, regardless of the carbon backbone length.
1951
IUPAC Nomenclature System
The International Union of Pure and Applied Chemistry formalized naming rules based on the principal functional group, creating the naming system IB Chemistry still uses today.

The central question that drove this history remains the question you will answer in this lesson: How can we use functional groups to classify organic compounds, predict their properties, and solve problems? Understanding functional groups transforms organic chemistry from a bewildering catalog of millions of molecules into a manageable set of families with predictable behavior.

Core Principles & Definitions

A functional group is a specific atom or group of atoms within a molecule that determines the molecule's chemical reactivity and many of its physical properties. The rest of the molecule — typically a chain or ring of carbon and hydrogen atoms — is called the hydrocarbon backbone (sometimes just "R" in general formulas). Think of functional groups as the tools on a Swiss Army knife: the handle (backbone) stays the same, but swapping one tool (functional group) for another changes what the knife can do.

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Functional Group Determines Reactivity

Molecules with the same functional group undergo the same types of reactions, no matter how long or branched their carbon backbone is. A two-carbon alcohol reacts similarly to a ten-carbon alcohol.
2

Homologous Series

A homologous series is a family of compounds sharing the same functional group and general formula, differing by one CH₂ unit. Examples include alkanes (CnH2n+2) and alcohols (CnH2n+1OH).
3

IUPAC Naming Links to Function

The suffix of a compound's IUPAC name directly tells you the functional group: "-ol" for alcohols, "-al" for aldehydes, "-oic acid" for carboxylic acids, and so on. Recognizing suffixes is a shortcut to identifying the compound class.
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Degree of Unsaturation

The degree of unsaturation (also called index of hydrogen deficiency, IHD) tells you how many double bonds, triple bonds, or rings are present. It is calculated from the molecular formula and helps narrow down which functional groups a molecule could contain.
5

Polarity & Intermolecular Forces

Functional groups containing electronegative atoms (O, N, halogens) create regions of polarity. This polarity governs solubility, boiling point, and other physical properties through hydrogen bonding, dipole-dipole, and dispersion forces.
KEY TAKEAWAY
Imagine you run a restaurant and every dish has a base of rice (the carbon backbone). What makes each dish unique is the sauce you pour on top — teriyaki, curry, marinara. In organic chemistry, the functional group is the sauce: it defines the flavor (reactivity) of the molecule. Change the sauce, change the dish; change the functional group, change the compound class.

Visual Guide to Functional Groups

The diagram below maps the major IB Chemistry functional groups side by side. Each box shows the functional group's structural fragment, its IUPAC suffix or prefix, and the compound class name. Study this chart and notice how every group attaches to the generic "R" backbone.

The top two rows show the eight functional groups most frequently tested in IB Chemistry. The bottom row illustrates the IUPAC priority order — when a molecule carries more than one functional group, the highest-priority group is expressed in the suffix while the others become prefixes.

Notice that some groups contain only single bonds to heteroatoms (alcohols, amines, halogenoalkanes), while others feature double bonds (aldehydes, ketones, carboxylic acids, amides, esters). The presence of a C=O (carbonyl) within several groups is what ties them together — they share a family resemblance and often react with similar reagents such as nucleophiles. Learning to spot these internal patterns will help you predict reactions before you memorize every pathway.

How Functional Groups Drive Properties

Degree of Unsaturation (Index of Hydrogen Deficiency)

A powerful tool for narrowing down functional groups from a molecular formula is the index of hydrogen deficiency (IHD). Each double bond or ring in a molecule "costs" two hydrogen atoms relative to a fully saturated, open-chain compound. The formula accounts for the contributions of carbon, hydrogen, nitrogen, and halogens.

INDEX OF HYDROGEN DEFICIENCY
IHD = (2C + 2 + N − H − X) ÷ 2
C = number of carbon atoms, H = number of hydrogen atoms, N = number of nitrogen atoms, X = number of halogen atoms. Oxygen and sulfur are not included because they do not change the hydrogen count.

For example, benzene (C₆H₆) gives IHD = (2 × 6 + 2 − 6) ÷ 2 = 4, which accounts for the three double bonds and one ring in its structure. A molecule with IHD = 0 is fully saturated and acyclic (an alkane or halogenoalkane with no rings). An IHD of 1 could mean either one double bond (alkene or carbonyl) or one ring (cycloalkane).

Functional Groups & Intermolecular Forces

Physical properties such as boiling point, melting point, and solubility depend directly on the intermolecular forces a functional group enables. Alcohols and carboxylic acids can form hydrogen bonds because they have O−H groups, resulting in higher boiling points than similarly sized hydrocarbons. Aldehydes and ketones are polar but lack O−H or N−H bonds, so they exhibit dipole-dipole interactions but no hydrogen bonding among themselves. Halogenoalkanes are polar and also experience stronger London dispersion forces due to the large electron cloud of the halogen.

BOILING POINT TREND (QUALITATIVE RULE)
Carboxylic acid > Alcohol > Amine > Aldehyde ≈ Ketone > Halogenoalkane > Alkane
For molecules of comparable molar mass. Carboxylic acids rank highest because they can form dimeric hydrogen bonds (two hydrogen bonds per pair).
💡 IB Exam Tip
When an IB question asks you to "explain" a boiling-point difference, always name the specific intermolecular force (hydrogen bonding, dipole-dipole, or London dispersion), state which functional group creates it, and compare the strengths. A generic answer like "stronger forces" will not earn full marks.

Detailed Classification of Organic Compounds

The table below organizes the functional groups you need for the IB, including their general formulas, structural features, typical reactions, and the naming conventions you should memorize. Use it as a reference when tackling problem sets.

Functional group classification table for IB Chemistry Structure 3.2
ClassFunctional GroupGeneral FormulaIUPAC Suffix/PrefixKey Reaction Types
AlkaneC−C, C−H (all single bonds)CnH2n+2-aneCombustion, free-radical substitution
AlkeneC=CCnH2n-eneElectrophilic addition, polymerization
Alcohol−OHCnH2n+1OH-olOxidation, esterification, substitution
Aldehyde−CHOCnH2nO-alNucleophilic addition, oxidation to acid
KetoneC=O (internal)CnH2nO-oneNucleophilic addition (resists oxidation)
Carboxylic acid−COOHCnH2nO2-oic acidEsterification, neutralization
Ester−COO−Variable-oateHydrolysis (acid/base)
Amine−NH₂CnH2n+3N-amineActs as base, nucleophilic substitution
Amide−CONH₂Variable-amideHydrolysis, condensation polymer link
Halogenoalkane−X (F, Cl, Br, I)CnH2n+1Xfluoro- / chloro- / bromo-Nucleophilic substitution, elimination
This diagram shows the oxidation ladder for alcohols. Primary alcohols can be oxidized stepwise to aldehydes and then carboxylic acids. Secondary alcohols oxidize to ketones and stop. Tertiary alcohols resist oxidation entirely. Reduction arrows (purple) show that these steps are reversible using reducing agents such as NaBH₄ or LiAlH₄.

The oxidation ladder is one of the most common problem-solving frameworks in IB organic chemistry. Questions frequently ask you to predict the product when a given alcohol reacts with an oxidizing agent like acidified potassium dichromate (K₂Cr₂O₇). The key decision point is the classification of the alcohol as primary, secondary, or tertiary — which itself depends on how many carbon atoms are bonded to the carbon carrying the −OH group.

Worked Example: Identifying and Classifying an Unknown Compound

Let's work through a problem that combines molecular formula analysis, IHD calculation, and functional group identification — exactly the kind of question that appears on IB Paper 2.

Compound X: C₃H₆O₂
1
Step 1 — Calculate the IHDUse the formula IHD = (2C + 2 + N − H − X) ÷ 2. For C₃H₆O₂, C = 3, H = 6, N = 0, X = 0 (oxygen is not included). So IHD = (2 × 3 + 2 + 0 − 6 − 0) ÷ 2 = (6 + 2 − 6) ÷ 2 = 2 ÷ 2 = 1.
IHD = 1 → one double bond or one ring
2
Step 2 — Identify Possible Functional GroupsThe molecule has two oxygen atoms and an IHD of 1. Possible structures include: (a) a carboxylic acid (−COOH uses both oxygens and accounts for the C=O double bond), (b) an ester (−COO− also uses both oxygens and contains a C=O), or (c) some combination of an aldehyde/ketone plus a hydroxyl. We should consider all possibilities.
Candidates: carboxylic acid, ester, or hydroxy-aldehyde/ketone
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Step 3 — Test with Chemical EvidenceSuppose the IB question tells you that compound X turns blue litmus red and reacts with sodium carbonate to produce CO₂ gas. Both of these observations indicate the presence of an acidic −COOH group. A carboxylic acid with three carbons is propanoic acid (CH₃CH₂COOH). Let's verify: C₃H₆O₂ matches CH₃CH₂COOH (3 C, 6 H, 2 O). ✓
Compound X is propanoic acid (CH₃CH₂COOH)
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Step 4 — Give the IUPAC Name and ClassifyThe longest carbon chain containing the −COOH group has three carbons, so the parent chain is propane. The suffix for a carboxylic acid is "-oic acid." Therefore, the IUPAC name is propanoic acid. The compound belongs to the carboxylic acid homologous series.
IUPAC name: propanoic acid | Class: carboxylic acid
🔑 Strategy Summary
For any identification problem, follow these four steps: (1) calculate IHD to determine unsaturation, (2) list candidate functional groups consistent with the molecular formula, (3) use chemical tests or spectral data to narrow down, and (4) name and classify the compound. This systematic approach works for most IB organic chemistry questions.

Comparing Functional Group Properties

A frequent exam strategy is to compare two or more functional groups and explain observed differences. The table below highlights important distinctions that IB examiners like to test.

Property comparison: alcohols vs. carboxylic acids vs. esters
PropertyAlcohols (−OH)Carboxylic Acids (−COOH)Esters (−COO−)
Hydrogen bondingYes (O−H as donor and acceptor)Yes — forms strong dimers via two H-bonds per pairNo O−H bond; can only accept H-bonds
Boiling point (comparable mass)Moderate (e.g. ethanol: 78 °C)Highest (e.g. ethanoic acid: 118 °C)Lowest of the three (e.g. methyl methanoate: 32 °C)
Solubility in waterSmall ones very soluble; decreases with chain lengthSmall ones very soluble; decreases with chain lengthLess soluble because they cannot donate H-bonds
AcidityVery weakly acidic (pKₐ ≈ 16)Weakly acidic (pKₐ ≈ 4−5); reacts with Na₂CO₃Neutral — no acidic hydrogen
Characteristic odorSharp, cleanPungent, vinegar-likeSweet, fruity — used in flavorings and fragrances
KEY TAKEAWAY
The reason carboxylic acids have higher boiling points than alcohols of similar molar mass is that carboxylic acids form dimeric pairs with two hydrogen bonds between each pair. Think of it like two people shaking hands versus two people locking both hands together — the double grip (dimer) is much harder to pull apart. In contrast, esters lack an O−H group entirely, so they can only accept hydrogen bonds from water molecules but cannot donate them, making their boiling points the lowest of the three.

Connection to Advanced & Interdisciplinary Topics

The functional-group framework you learn in IB Chemistry is the foundation for advanced organic chemistry, biochemistry, pharmacology, and materials science. Here is a glimpse at how these ideas extend beyond the IB syllabus.

IB-Level ConceptAdvanced Extension
Identifying a single functional group in a moleculeUniversity organic chemistry deals with polyfunctional molecules where multiple groups interact, creating complex reactivity patterns (e.g., amino acids with both −NH₂ and −COOH)
IHD from molecular formulaIn spectroscopy courses, IHD is combined with IR, NMR, and mass-spec data to fully determine unknown structures — a process called "structure elucidation"
Esterification: acid + alcohol → ester + waterPolymer chemistry uses this reaction to build polyesters (e.g., PET plastic used in drink bottles). Biochemistry uses it to form triglycerides (fats) from glycerol and fatty acids
Amide bond (−CONH−)The peptide bond linking amino acids in proteins is an amide bond. Protein folding and enzyme function depend on the properties of this functional group
Functional group → reactivity predictionDrug design (medicinal chemistry) modifies functional groups on lead compounds to improve binding, solubility, and bioavailability — a process called structure-activity relationship (SAR) studies

If you continue to HL Chemistry or university chemistry, you will learn reaction mechanisms in detail — using curved arrows to show electron-pair movement. All mechanisms revolve around how the electron density in functional groups attracts or repels attacking species (nucleophiles and electrophiles). Mastering the classification of functional groups now gives you the vocabulary and mental framework to tackle those more complex topics with confidence.

Practice Problems

PROBLEM 1CONCEPTUAL
Explain why ethanol (C₂H₅OH) is miscible with water while ethane (C₂H₆) is not, even though they have similar molar masses.
PROBLEM 2BASIC CALCULATION
Calculate the index of hydrogen deficiency (IHD) for a compound with the molecular formula C₄H₆O and suggest two possible functional groups or structural features consistent with this IHD.
PROBLEM 3INTERMEDIATE
Compound Y has the molecular formula C₃H₆O₂. It does not react with Na₂CO₃, does not turn acidified dichromate from orange to green, and has a sweet fruity smell. Identify the functional group, give the IUPAC name of one possible structure, and explain your reasoning.
PROBLEM 4APPLIED
Aspirin (acetylsalicylic acid) has the molecular formula C₉H₈O₄. (a) Calculate its IHD. (b) Aspirin contains a carboxylic acid group and an ester group. How many degrees of unsaturation do these two functional groups account for? (c) What structural feature must account for the remaining unsaturation?
PROBLEM 5CRITICAL THINKING
Two isomers both have the molecular formula C₂H₆O. Isomer A has a boiling point of 78 °C, is miscible with water, and reacts with sodium metal to produce hydrogen gas. Isomer B has a boiling point of −24 °C and is only slightly soluble in water. Identify both isomers, name their functional groups, and explain how the same molecular formula can produce such dramatically different physical and chemical properties.

Lesson Summary

Organic compounds are classified by their functional groups — specific atom clusters (such as −OH, −COOH, −CHO, −COO−, −NH₂, and C=C) that determine a molecule's chemical reactivity, physical properties, and IUPAC name. Compounds sharing the same functional group belong to a homologous series with a common general formula and predictable trends.

To solve IB problems, start by calculating the index of hydrogen deficiency (IHD) to identify degrees of unsaturation, then match the molecular formula and any given chemical-test results to a specific compound class. Understand how functional groups control intermolecular forces — hydrogen bonding for −OH and −COOH groups, dipole-dipole for carbonyls, and London dispersion for hydrocarbons — to explain trends in boiling point, solubility, and volatility. Finally, remember the oxidation ladder: primary alcohols oxidize to aldehydes and then carboxylic acids, secondary alcohols oxidize to ketones (which resist further oxidation), and tertiary alcohols do not oxidize at all.

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