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11.1.3 Structural formulae, isomers and homologous series

Structural formulae

Definition

Structural formula

An unambiguous description of the way the atoms in a molecule are arranged.

Definition

Molecular formula

A formula that shows the actual number of atoms of each different element in one molecule of a substance.

  1. A structural formula is an unambiguous description of the way the atoms in a molecule are arranged.
  2. It lists the atoms carbon by carbon along the chain, with each carbon written next to the atoms joined to it.
  3. A molecular formula only counts the atoms, so it cannot tell you how they are joined.
    1. Ethanol has the molecular formula C2H6O\text{C}_2\text{H}_6\text{O}C2​H6​O, which does not show where the oxygen sits.
    2. Its structural formula, CH3CH2OH\text{CH}_3\text{CH}_2\text{OH}CH3​CH2​OH, shows a CH3\text{CH}_3CH3​ group joined to a CH2\text{CH}_2CH2​ group, which is joined to an OH\text{OH}OH group.
  4. A structural formula is shorter to write than a displayed formula, but it carries the same information about which atom is bonded to which.
  5. Learn how to read three standard examples.
    1. CH2=CH2\text{CH}_2=\text{CH}_2CH2​=CH2​ is ethene, and the === sign must be written, because the double bond is the part that makes it an alkene.
    2. CH3CH2OH\text{CH}_3\text{CH}_2\text{OH}CH3​CH2​OH is ethanol, with the OH\text{OH}OH group on the end carbon.
    3. CH3COOCH3\text{CH}_3\text{COOCH}_3CH3​COOCH3​ is methyl ethanoate, an ester, in which the COO\text{COO}COO group links a CH3\text{CH}_3CH3​ group on each side.
  6. In CH3COOCH3\text{CH}_3\text{COOCH}_3CH3​COOCH3​ the carbon of the COO\text{COO}COO group has a double bond to one oxygen and a single bond to the other, and that second oxygen is bonded to the right-hand CH3\text{CH}_3CH3​.
  7. A branch on a chain is written in brackets after the carbon it is attached to, so CH3CH(CH3)CH3\text{CH}_3\text{CH}(\text{CH}_3)\text{CH}_3CH3​CH(CH3​)CH3​ has a CH3\text{CH}_3CH3​ branch on the second carbon.
Example

From displayed to structural formula

  • The displayed formula of methyl ethanoate shows every bond in the molecule.
HOH∣∥∣H−C−C−O−C−H∣∣HH \begin{array}{ccccccccccc} & & \text{H} & & \text{O} & & & & \text{H} & & \\ & & | & & \Vert & & & & | & & \\ \text{H} & - & \text{C} & - & \text{C} & - & \text{O} & - & \text{C} & - & \text{H} \\ & & | & & & & & & | & & \\ & & \text{H} & & & & & & \text{H} & & \end{array} H​−​H∣C∣H​−​O∥C​−​O​−​H∣C∣H​−​H​
  • Reading from the left, the first carbon carries three hydrogen atoms, which gives CH3\text{CH}_3CH3​.
  • The next carbon has a double bond to oxygen and a single bond to a second oxygen, which gives COO\text{COO}COO.
  • The last carbon carries three hydrogen atoms, which gives CH3\text{CH}_3CH3​.
  • Writing the groups in order gives the structural formula.
CH3COOCH3 \text{CH}_3\text{COOCH}_3 CH3​COOCH3​
  • Counting the atoms gives the molecular formula C3H6O2\text{C}_3\text{H}_6\text{O}_2C3​H6​O2​, which on its own could fit more than one structure.

Structural isomers

Definition

Structural isomers

Compounds with the same molecular formula but different structural formulae.

  1. Structural isomers are compounds with the same molecular formula but different structural formulae.
  2. Isomers contain exactly the same atoms, but the atoms are joined in a different order, so they are different compounds.
  3. C4H10\text{C}_4\text{H}_{10}C4​H10​ has two structural isomers.
    1. Butane, CH3CH2CH2CH3\text{CH}_3\text{CH}_2\text{CH}_2\text{CH}_3CH3​CH2​CH2​CH3​, has all four carbon atoms in one unbranched chain.
    2. 2-methylpropane, CH3CH(CH3)CH3\text{CH}_3\text{CH}(\text{CH}_3)\text{CH}_3CH3​CH(CH3​)CH3​, has a chain of three carbon atoms with a CH3\text{CH}_3CH3​ branch on the middle carbon.
  4. C4H8\text{C}_4\text{H}_8C4​H8​ also has structural isomers, which differ in the position of the double bond.
    1. But-1-ene, CH3CH2CH=CH2\text{CH}_3\text{CH}_2\text{CH}=\text{CH}_2CH3​CH2​CH=CH2​, has the C=C\text{C}=\text{C}C=C bond at the end of the chain.
    2. But-2-ene, CH3CH=CHCH3\text{CH}_3\text{CH}=\text{CHCH}_3CH3​CH=CHCH3​, has the C=C\text{C}=\text{C}C=C bond in the middle of the chain.
  5. To decide whether two structures are isomers, carry out two checks in order.
    1. Count each type of atom in both structures and confirm that the molecular formulae are the same.
    2. Trace the longest carbon chain and the positions of any branches or double bonds to confirm that the atoms are joined differently.
  6. A chain drawn with a bend in it is still the same compound, because bending the drawing does not change which atoms are bonded to each other.
  7. To draw an isomer of a given compound, shorten the main chain and move one carbon into a branch, or move a double bond to a new position.

Displayed and structural formulae of butane and 2-methylpropane, two structural isomers that share the molecular formula C4H10 but differ in how the carbon atoms are joined

Example

Isomers of C4H8\text{C}_4\text{H}_8C4​H8​

  • Both structures below contain four carbon atoms and eight hydrogen atoms, so both have the molecular formula C4H8\text{C}_4\text{H}_8C4​H8​.
  • In but-1-ene the double bond is between the first and second carbon atoms.
HHHH∣∣∣∣H−C−C−C=C∣∣∣HHH \begin{array}{ccccccccccc} & & \text{H} & & \text{H} & & \text{H} & & \text{H} & & \\ & & | & & | & & | & & | & & \\ \text{H} & - & \text{C} & - & \text{C} & - & \text{C} & = & \text{C} & & \\ & & | & & | & & & & | & & \\ & & \text{H} & & \text{H} & & & & \text{H} & & \end{array} H​−​H∣C∣H​−​H∣C∣H​−​H∣C​=​H∣C∣H​​​
  • In but-2-ene the double bond is between the second and third carbon atoms.
HHHH∣∣∣∣H−C−C=C−C−H∣∣HH \begin{array}{ccccccccccc} & & \text{H} & & \text{H} & & \text{H} & & \text{H} & & \\ & & | & & | & & | & & | & & \\ \text{H} & - & \text{C} & - & \text{C} & = & \text{C} & - & \text{C} & - & \text{H} \\ & & | & & & & & & | & & \\ & & \text{H} & & & & & & \text{H} & & \end{array} H​−​H∣C∣H​−​H∣C​=​H∣C​−​H∣C∣H​−​H​
  • The atoms are joined in a different order, so the two compounds are structural isomers.
  • Flipping but-1-ene from left to right puts the double bond on the right-hand end, but it is still but-1-ene and not a new isomer.

Features of a homologous series

Definition

Homologous series

A family of similar compounds with similar chemical properties due to the presence of the same functional group.

  1. A homologous series is a family of similar compounds with similar chemical properties due to the presence of the same functional group.
  2. Every homologous series has five general characteristics.
  3. Same functional group
    1. All members carry the same reactive atom or group, such as C=C\text{C}=\text{C}C=C in the alkenes or −OH-\text{OH}−OH in the alcohols.
  4. Same general formula
    1. All members fit one formula in nnn, such as CnH2n+2\text{C}_n\text{H}_{2n+2}Cn​H2n+2​ for the alkanes.
  5. Differ by a −CH2−-\text{CH}_2-−CH2​− unit
    1. Each member has one more carbon atom and two more hydrogen atoms than the member before it.
    2. Methane, CH4\text{CH}_4CH4​, ethane, C2H6\text{C}_2\text{H}_6C2​H6​, and propane, C3H8\text{C}_3\text{H}_8C3​H8​, each differ from the next by CH2\text{CH}_2CH2​.
    3. The relative molecular mass therefore goes up by 14 from one member to the next.
  6. Trend in physical properties
    1. Physical properties such as boiling point change gradually as the chain gets longer.
  7. Similar chemical properties
    1. All members react in the same kinds of way, because the reactions happen at the shared functional group.

The boiling point trend

  1. Along a homologous series, boiling point increases as the number of carbon atoms increases.
  2. The explanation follows a chain of reasoning.
    1. A longer chain means a larger molecule with more atoms.
    2. Larger molecules have stronger intermolecular forces, the weak forces of attraction between neighbouring molecules.
    3. More energy is needed to overcome these stronger forces when the liquid boils.
    4. So the liquid must be heated to a higher temperature before it boils.
  3. Boiling separates whole molecules from each other, so the covalent bonds inside each molecule are not broken.
  4. The trend also shows up as a change of state, since the smallest alkanes are gases at room temperature, the middle members are liquids and the longest are solids.
Example

Boiling points of the first six alkanes

  • The first six alkanes show the trend clearly, with each extra CH2\text{CH}_2CH2​ unit raising the boiling point.
    • Methane, CH4\text{CH}_4CH4​, boils at −162 ∘C-162\ ^\circ\text{C}−162 ∘C.
    • Ethane, C2H6\text{C}_2\text{H}_6C2​H6​, boils at −89 ∘C-89\ ^\circ\text{C}−89 ∘C.
    • Propane, C3H8\text{C}_3\text{H}_8C3​H8​, boils at −42 ∘C-42\ ^\circ\text{C}−42 ∘C.
    • Butane, C4H10\text{C}_4\text{H}_{10}C4​H10​, boils at −1 ∘C-1\ ^\circ\text{C}−1 ∘C.
    • Pentane, C5H12\text{C}_5\text{H}_{12}C5​H12​, boils at 36 ∘C36\ ^\circ\text{C}36 ∘C.
    • Hexane, C6H14\text{C}_6\text{H}_{14}C6​H14​, boils at 69 ∘C69\ ^\circ\text{C}69 ∘C.
  • Room temperature is about 25 ∘C25\ ^\circ\text{C}25 ∘C, so the first four are gases and pentane and hexane are liquids.
  • The chemical reactions of all six are alike, because they belong to the same series.
Common Mistake
  • Do not call two compounds isomers when their molecular formulae differ, so C4H8\text{C}_4\text{H}_8C4​H8​ and C4H10\text{C}_4\text{H}_{10}C4​H10​ are not isomers.
  • Do not count the same molecule drawn with a bent chain, or drawn back to front, as a new isomer.
  • Do not explain a higher boiling point by saying covalent bonds break, because boiling only overcomes the forces between molecules.
  • Do not leave the === sign out of CH2=CH2\text{CH}_2=\text{CH}_2CH2​=CH2​, because without it the formula no longer describes ethene.
Exam technique

Earning the definition marks

  • Define structural isomers with both parts, the same molecular formula and a different structural formula, because each part usually carries a mark.
  • Write "same molecular formula" rather than "same formula", because a vague answer does not separate molecular from structural formulae.
  • When you list characteristics of a homologous series, give the exact features, such as "differ by CH2\text{CH}_2CH2​" and "same general formula".
  • In a boiling point answer, link chain length to stronger forces between molecules and to more energy needed to separate them.
Self review
  • What is a structural formula?
  • Define structural isomers.
  • Give the structural formulae of the two isomers of C4H10\text{C}_4\text{H}_{10}C4​H10​.
  • By which unit do neighbouring members of a homologous series differ?
  • Why does boiling point increase as an alkane chain gets longer?
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11.1.3 Structural formulae, isomers and homologous series Revision Guide

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Revision notes for CIE IGCSE Chemistry 11.1.3 Structural formulae, isomers and homologous series: explanations and worked examples.

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