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  3. Drawing structures, mechanisms and graphs

Drawing structures, mechanisms and graphs

The conventions markschemes reward for Lewis formulas, structural formulas, 3D shapes, repeating units, curly-arrow mechanisms, energy profiles and sketched or plotted graphs.

  • IB Chemistry
  • Exam skills
  • SL and HL

15 min readLast reviewed 14 Oct 2026

Many marks in chemistry are for drawings: a Lewis formula, the structure of an isomer, the repeating unit of a polymer, a mechanism with curly arrows, an energy profile, a Maxwell–Boltzmann sketch, a pH curve, a best-fit line. Each has fixed conventions, and markschemes list exactly which features earn the marks. A drawing that is chemically right but leaves out one required feature, such as a lone pair, a charge or a continuation bond, often scores zero.

The command term sets the standard. Draw asks for an accurate, labelled diagram, with every atom, bond and electron pair that the convention requires. Sketch asks for the general shape of a graph with its key features, but not accurate values. Annotate asks for brief notes on a diagram, and label for names of its parts.

Key points

  • Lewis formulas show every valence electron: all bonding pairs and all lone pairs, with ions in square brackets and the charge outside.

  • Structural formulas must be unambiguous; a full structural formula shows every atom and every bond.

  • Wedges point towards the viewer and hashed bonds away; lone pairs change bond angles.

  • A repeating unit needs continuation bonds through the brackets and no C=C double bond.

  • A curly arrow starts at a lone pair or a bond and ends where the electron pair goes; a fish-hook moves one electron.

  • Sketch graphs need labelled axes, the right shape and the features the question tests; plotted graphs need scales, accurate points and a best-fit line.

Lewis formulas

A Lewis formula shows all the valence electrons in a molecule or ion. The rules that markschemes apply are strict:

  • Show every bonding pair (as a line, a pair of dots or a pair of crosses) and every lone pair, including the lone pairs on halogen and oxygen atoms.

  • Any combination of dots, crosses and lines is accepted, but each pair of electrons must be clear.

  • For an ion, draw square brackets round the whole structure and write the charge outside, top right.

  • Check the total number of electrons: the sum of the valence electrons of the atoms, plus one for each negative charge, minus one for each positive charge.

  • A coordination bond may be drawn as an arrow from the donor atom, or as an ordinary line; both are accepted.

Lewis formulas. Carbon dioxide: O=C=O with two lone pairs on each oxygen. Ammonium ion: N bonded to four H atoms, in square brackets with a + charge. Cyanide ion: C triple-bonded to N with one lone pair on each atom, in square brackets with a − charge.Lewis formulas. Carbon dioxide: O=C=O with two lone pairs on each oxygen. Ammonium ion: N bonded to four H atoms, in square brackets with a + charge. Cyanide ion: C triple-bonded to N with one lone pair on each atom, in square brackets with a − charge.
Lewis formulas of carbon dioxide, the ammonium ion and the cyanide ion. Every lone pair is shown, and each ion is enclosed in square brackets with its charge outside.

Common mistake

Leaving out the lone pairs on the outer atoms. In carbon dioxide, each oxygen atom has two lone pairs as well as its double bond; in a chloromethane molecule, the chlorine atom has three. Lone pairs on outer atoms are the most frequently missing feature in Lewis formula answers, and their absence loses the mark.

Worked example

Draw the Lewis formula of the hydroxide ion, OHX−OHX−. [1]

Show the markscheme

Oxygen has six valence electrons, hydrogen one, and the negative charge adds one more: eight electrons, or four pairs. One pair forms the O–H bond and three are lone pairs on oxygen.

  • O–H bond AND three lone pairs on O AND square brackets with a − charge ✓

Accept the charge shown on the oxygen atom instead of outside brackets in some markschemes; brackets with the charge outside are always accepted.

Exam tip

"Do not accept resonance structures with delocalized bonds" appears in markschemes for Lewis formulas. When a Lewis formula is asked for, draw one structure with localized bonds and lone pairs, even for an ion such as carbonate that is better described by resonance (HL).

Structural and skeletal formulas

Organic structures are drawn in several ways, and the question says which is wanted. A full structural formula (displayed formula) shows every atom and every bond, including each C–H and O–H bond. A condensed structural formula writes the atoms in order, with groups in brackets, so that the structure is unambiguous. A skeletal formula shows the carbon chain as a zig-zag line, with carbon atoms at the ends and corners, hydrogen atoms on carbon left out, and functional groups drawn in.

Butan-2-ol drawn three ways: a full structural formula showing every atom and bond, the condensed formula CH3CH(OH)CH2CH3, and a skeletal zig-zag of four carbons with OH on the second carbon.Butan-2-ol drawn three ways: a full structural formula showing every atom and bond, the condensed formula CH3CH(OH)CH2CH3, and a skeletal zig-zag of four carbons with OH on the second carbon.
Butan-2-ol as a full structural formula, a condensed structural formula and a skeletal formula. All three are unambiguous; the molecular formula, C₄H₁₀O, is not, because it also fits butan-1-ol and three other isomers.
  • A full structural formula must show the O–H bond as a line, not "–OH", if the question asks for all bonds; markschemes vary, so drawing it costs nothing.

  • The C–O bond in an alcohol joins the carbon to the oxygen atom. Writing "HO–C" on the left of a chain is fine; a bond drawn from carbon to the H of OH is wrong.

  • A carboxyl group is −COOH−COOH, with both oxygen atoms drawn: one double-bonded to carbon and one single-bonded to carbon and hydrogen.

  • When a question asks for a structure "showing all the bonds", use the full structural formula; when it asks for "the structural formula", a condensed formula is usually enough.

Worked example

Draw the full structural formula of the ester formed from ethanoic acid and methanol. [1]

Show the markscheme

The ester is methyl ethanoate, CHX3COOCHX3CHX3​COOCHX3​. Its full structural formula shows a CHX3CHX3​ group (three C–H bonds) bonded to a carbon that has a C=O double bond and a single bond to an oxygen atom, which is bonded to a second CHX3CHX3​ group.

  • all atoms and bonds shown, including the C=O and the C–O–C linkage ✓

Do not award the mark for a condensed formula, or if any C–H bond is missing.

Three-dimensional shapes and bond angles

When a question asks for the shape of a molecule to be drawn, the drawing must show its geometry in three dimensions. A plain line is a bond in the plane of the paper, a solid wedge is a bond coming towards the viewer, and a hashed wedge is a bond going away. A tetrahedral centre is drawn with two bonds in the plane, one wedge and one hashed bond. Lone pairs on the central atom are drawn as well, as a pair of dots or a lobe.

Three-dimensional drawings. Methane: tetrahedral, two bonds in the plane, one wedge and one hashed bond, angle 109.5°. Ammonia: trigonal pyramidal with a lone-pair lobe on nitrogen, one wedge and one hashed bond, H–N–H about 107°.Three-dimensional drawings. Methane: tetrahedral, two bonds in the plane, one wedge and one hashed bond, angle 109.5°. Ammonia: trigonal pyramidal with a lone-pair lobe on nitrogen, one wedge and one hashed bond, H–N–H about 107°.
Three-dimensional shapes drawn with bonds in the plane of the paper (lines), towards the viewer (wedge) and away from it (hashed). The lone pair on nitrogen is drawn as a lobe and reduces the bond angle.

Most shape questions are marked on two points: the name of the shape and the bond angle. The angle is usually accepted within a range (for the trigonal pyramidal ammonia molecule, for example, values from about 100∘100∘ to 109∘109∘), but the reasoning must be right: lone pairs repel more strongly than bonding pairs, so they reduce the bond angle below 109.5∘109.5∘. An "explain the shape" part needs the number of electron domains and the idea that they repel to be as far apart as possible.

Electron domains

Lone pairs

Molecular geometry

Bond angle

Example

2

0

linear

180°

COX2COX2​

3

0

trigonal planar

120°

BFX3BFX3​

3

1

bent

about 117°

SOX2SOX2​

4

0

tetrahedral

109.5°

CHX4CHX4​

4

1

trigonal pyramidal

about 107°

NHX3NHX3​

4

2

bent

about 104.5°

HX2OHX2​O

At HL, five and six electron domains add trigonal bipyramidal, seesaw, T-shaped, octahedral, square pyramidal and square planar geometries; the drawing rules are the same, with wedges and hashes showing which bonds leave the plane.

Repeating units of polymers

An addition polymer is drawn as its repeating unit: the two carbon atoms that were joined by the C=C double bond in the monomer, now joined by a single bond, with their substituents. The unit sits inside square brackets with an nn outside, and a continuation bond passes through each bracket to show that the chain carries on. At HL, the repeating units of condensation polymers (polyesters and polyamides) follow the same rule, with the ester or amide linkage inside the brackets.

Repeating unit of poly(propene): two carbon atoms joined by a single bond, the first with two H atoms, the second with one H and a CH3 group, with bonds extending through square brackets on both sides and n outside the bracket.Repeating unit of poly(propene): two carbon atoms joined by a single bond, the first with two H atoms, the second with one H and a CH3 group, with bonds extending through square brackets on both sides and n outside the bracket.
The repeating unit of poly(propene). The continuation bonds pass through the brackets to show that the unit links to the next one; the C=C of the propene monomer has become a single bond.

Worked example

Draw the repeating unit of poly(chloroethene), PVC, made from chloroethene, CHX2=CHClCHX2​=CHCl. [1]

Show the markscheme

The double bond opens, so the unit is two carbon atoms joined by a single bond: one carbon with two H atoms, the other with one H and one Cl, and continuation bonds on both sides through the brackets.

  • two carbons with single C–C bond AND correct substituents AND continuation bonds ✓

Do not award the mark if continuation bonds are missing or if a C=C double bond is shown. Do not penalize missing brackets or a missing n.

Common mistake

Keeping the C=C double bond in the repeating unit, or drawing the monomer with brackets round it. In the polymer, each double bond has become a single bond, and the electrons from the second bond form the bonds to the neighbouring units.

Curly arrows and mechanisms

A curly arrow shows the movement of a pair of electrons. Mechanisms are marked arrow by arrow, and each arrow is judged on where it starts and where it ends:

  • A double-headed (two-barbed) curly arrow moves an electron pair; a single-barbed fish-hook arrow moves one electron, as in the homolytic fission that forms radicals.

  • An arrow starts at a lone pair, a negative charge or the middle of a bond: wherever the electrons are. It never starts at an atom symbol with no electrons drawn, or at a hydrogen atom.

  • An arrow ends at the atom that receives the electrons, or between two atoms where a new bond forms.

  • Every species shows its charges, and an ion or nucleophile that donates a pair shows that lone pair.

Left: heterolytic fission of H–Br, a double-headed curly arrow from the middle of the bond to Br, giving H+ and Br−. Right: homolytic fission of Cl–Cl in UV light, two single-barbed fish-hook arrows from the middle of the bond to each Cl atom, giving two chlorine radicals.Left: heterolytic fission of H–Br, a double-headed curly arrow from the middle of the bond to Br, giving H+ and Br−. Right: homolytic fission of Cl–Cl in UV light, two single-barbed fish-hook arrows from the middle of the bond to each Cl atom, giving two chlorine radicals.
Heterolytic fission (left): one double-headed arrow moves the bonding pair to bromine. Homolytic fission (right): two fish-hook arrows each move one electron, forming two radicals.

In heterolytic fission, both electrons of the bond go to one atom, usually the more electronegative one, and two ions form. In homolytic fission, one electron goes to each atom and two radicals form, which needs ultraviolet light or heat for a molecule such as chlorine.

The SL mechanism that uses curly arrows is nucleophilic substitution of a halogenoalkane. The nucleophile donates a lone pair to the carbon atom bonded to the halogen, which carries a partial positive charge, and the carbon–halogen bond breaks heterolytically so that the halogen leaves as a halide ion.

Hydroxide ion with a lone pair; a curly arrow from the lone pair on oxygen to the carbon bonded to bromine in bromoethane, and a second curly arrow from the C–Br bond to Br. Products: ethanol and a bromide ion.Hydroxide ion with a lone pair; a curly arrow from the lone pair on oxygen to the carbon bonded to bromine in bromoethane, and a second curly arrow from the C–Br bond to Br. Products: ethanol and a bromide ion.
Nucleophilic substitution of bromoethane by a hydroxide ion. The first arrow starts at a lone pair on oxygen and ends at the carbon atom; the second starts at the middle of the C–Br bond and ends at bromine, which leaves as a bromide ion.

Exam tip

For nucleophilic substitution by hydroxide, the markscheme rewards: an arrow from the lone pair or negative charge on the oxygen of OHX−OHX− to the carbon; an arrow from the C–X bond to X; and the correct products. "Do not allow a curly arrow originating on H in HOX−HOX−" appears in almost every markscheme. At HL, the SN2 mechanism adds a mark for the transition state, drawn in square brackets with dashed partial bonds to OH and Br and an overall negative charge; the SN1 mechanism and electrophilic addition and substitution have a carbocation intermediate with its positive charge shown.

Common mistake

Drawing a curly arrow that starts at the hydrogen of a hydroxide ion, at an atom with no lone pair drawn, or points the wrong way, from the carbon to the nucleophile. Arrows show where electrons move from and to, so they start at the electrons and point towards the atom that receives them.

Energy profiles and enthalpy diagrams

An energy profile plots potential energy against the reaction coordinate. A complete one has both axes labelled ("Potential energy" and "Reaction coordinate"), the reactants and products labelled at the correct relative heights, a single hump for a one-step reaction, and two arrows: the activation energy from the reactants up to the top of the hump, and ΔHΔH from the reactants to the products.

Energy profile of an exothermic reaction: potential energy against reaction coordinate. The reactants are higher than the products. A blue arrow from the reactant level up to the peak, labelled Ea, and a green arrow from the reactant level down to the product level, labelled ΔH.Energy profile of an exothermic reaction: potential energy against reaction coordinate. The reactants are higher than the products. A blue arrow from the reactant level up to the peak, labelled Ea, and a green arrow from the reactant level down to the product level, labelled ΔH.
A complete energy profile for an exothermic reaction: axes labelled, reactants and products labelled, the activation energy (blue) measured from the reactants to the peak, and ΔH (green) from the reactants to the products, pointing down.
  • For an exothermic reaction the products are lower than the reactants and the ΔHΔH arrow points down; for an endothermic reaction they are higher and the arrow points up.

  • The EaEa​ arrow starts at the reactant level, not at zero and not at the products. The activation energy of the reverse reaction runs from the products to the peak.

  • A catalysed pathway is drawn as a lower hump between the same reactant and product levels, so ΔHΔH is unchanged; label both curves.

  • At HL, a two-step mechanism has two humps with an intermediate in the dip between them; the higher hump belongs to the rate-determining step.

An enthalpy level diagram is simpler: two horizontal levels labelled with the reactants and products, including state symbols, and one vertical arrow between them labelled with ΔHΔH and its sign. It has no hump, because it shows only the overall energy change, not the pathway.

Common mistake

Drawing the ΔHΔH arrow from the products to the reactants, or both arrows from the baseline of the graph. Arrows start where the change starts: at the reactants. A double-headed arrow is accepted for EaEa​ in some markschemes, but a single arrow pointing the right way is never wrong.

Sketching and plotting graphs

Sketch graphs

A sketch shows the shape of a relationship and its key features, without a scale. Label both axes with the quantities (and units if values are marked), start the curve where the chemistry says it starts, and show the features the question tests: where the curve peaks, where it levels off, which of two curves lies above the other, where it crosses an axis. Markschemes usually give one mark for labelled axes and one or two for the features.

Sketch

Features that earn the marks

Maxwell–Boltzmann distribution

axes "number of particles" and "kinetic energy"; curve from the origin, never touching the energy axis again; at a higher temperature, a lower peak further right and above the original curve at high energy

Concentration of reactant against time

starts at the initial concentration; falls steeply at first, then more slowly; levels off (at zero if the reactant is used up)

Volume of gas product against time

starts at the origin; steep at first; levels off at the final volume; a faster reaction is steeper but levels off at the same volume if the limiting amount is the same

pH curve (HL)

correct starting pH; shape (buffer region for a weak acid or base); vertical section at the equivalence volume; correct equivalence pH; correct final level

Pressure–volume for a fixed mass of gas

curve falling towards both axes without touching them (inverse proportion)

The pH curve for a weak acid titrated with a strong base shows how the features of a sketch carry the chemistry. The starting pH is higher than for a strong acid of the same concentration, the curve rises gently through a buffer region, the pH equals pKapKa​ at half the equivalence volume, and the equivalence point lies above pH 7.

pH curve for 25.0 cm³ of 0.100 mol dm⁻³ ethanoic acid titrated with 0.100 mol dm⁻³ sodium hydroxide. The pH starts at 2.9, rises slowly through a buffer region, passes pH 4.76 at 12.5 cm³, rises steeply around the equivalence point at 25 cm³ and pH 8.7, then levels off below pH 13.pH curve for 25.0 cm³ of 0.100 mol dm⁻³ ethanoic acid titrated with 0.100 mol dm⁻³ sodium hydroxide. The pH starts at 2.9, rises slowly through a buffer region, passes pH 4.76 at 12.5 cm³, rises steeply around the equivalence point at 25 cm³ and pH 8.7, then levels off below pH 13.
pH curve for a weak acid titrated with a strong base, computed for 0.100 mol dm⁻³ ethanoic acid (pKa 4.76) and 0.100 mol dm⁻³ NaOH. The features marked are the ones markschemes reward: the starting pH, the half-equivalence point, the equivalence volume and pH, and the final level.

Exam tip

Sketch on the axes printed in the question, and use the scale if one is given: a pH curve that starts at pH 1 for a weak acid, or whose steep section is at the wrong volume, loses the feature marks even if its shape is right. Mark and label the key points (equivalence point, half-equivalence point, Ea) when the question asks for them.

Plotted graphs and best-fit lines

When data are plotted, draw applies. Choose scales that use most of the grid and go up in convenient steps (1, 2 or 5 units per division); label each axis with the quantity and its unit ("Volume of gas / cm³"); plot each point accurately as a small cross or dot; and draw one line of best fit. The best-fit line is a single straight line or smooth curve that passes as close as possible to as many points as it can, with points scattered on both sides. It is never drawn dot to dot, and it does not have to pass through the first or last point, or through the origin unless the chemistry requires it.

Graph of initial rate against hydrogen peroxide concentration from 0 to 4.0 mol dm⁻³. Seven points, six close to a straight best-fit line through the origin; the point at 2.5 mol dm⁻³ lies well below the line and is labelled as an outlier.Graph of initial rate against hydrogen peroxide concentration from 0 to 4.0 mol dm⁻³. Seven points, six close to a straight best-fit line through the origin; the point at 2.5 mol dm⁻³ lies well below the line and is labelled as an outlier.
A plotted graph done well: labelled axes with units, even scales, points plotted accurately, and one straight best-fit line through the origin that ignores the outlier rather than joining the points dot to dot.

An outlier is ignored when the line is drawn, and identified (circled or labelled) if the question asks. A tangent, used to find a rate at one instant, is a separate straight line that touches the curve at one point; its gradient is calculated from two well-separated points on the tangent, not on the curve.

Common mistake

Joining the plotted points dot to dot, or forcing a straight line through a set of points that clearly curve. The best-fit line represents the trend the data show; a dot-to-dot line treats every random error as real.

Self-check

  • To do:

    I can draw Lewis formulas showing every bonding pair and lone pair, with ions in square brackets and their charge.

  • To do:

    I can draw full structural, condensed structural and skeletal formulas, and choose the one a question asks for.

  • To do:

    I can draw three-dimensional shapes with wedges and hashed bonds, and state their bond angles with the reasoning.

  • To do:

    I can draw the repeating unit of an addition polymer with continuation bonds and no double bond.

  • To do:

    I can draw curly arrows that start at a lone pair or bond and end at the atom receiving the electrons, and fish-hook arrows for single electrons.

  • To do:

    I can draw the nucleophilic substitution of a halogenoalkane with curly arrows, and the SN2 transition state (HL).

  • To do:

    I can draw and label energy profiles and enthalpy level diagrams for exothermic and endothermic reactions, with and without a catalyst.

  • To do:

    I can sketch Maxwell–Boltzmann distributions, concentration–time and gas volume–time graphs, and pH curves (HL) with their key features.

  • To do:

    I can plot data with suitable scales and labelled axes and draw a single line of best fit that ignores outliers.

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