Chapter 2.1 (High School Chemistry (CHE2))

Molecular models and formulae

Atomic and molecular models are used to visualise the invisible world

Atoms and molecules are so small that they cannot be seen with the naked eye. For this reason, molecules are depicted with models. We need different models because each type of model provides different information. The aim is to highlight the details that we are investigating. The ball-and-stick model is a typical molecular model. It provides information about atoms, their position, and the type of molecular bond. A skeletal formula only draws the bonds between atoms. The type of atoms must be deduced by the reader. A calotte model provides information about the size and geometric shape of a molecule. Sometimes molecules are drawn as a 2D structural formula. The 2D model corresponds more poorly to reality than an equivalent 3D model but may be visually easier to perceive.

The structure of DNA shown using a ball-and-stick model and the structure of insulin protein shown using a calotte model.

The most common molecular models

In a calotte model, atoms and their positions are represented by different coloured spheres that are embedded into one another. The atoms are represented using different colours to help identify them more easily. In reality, atoms have no colour at all. Atoms of different elements are shown using different-coloured spheres. The size of the sphere is based on computational chemistry.

A 2D calotte model of a water molecule (H2O)
A 2D ball-and-stick model of a water molecule (H2O)

In a ball-and-stick model, the balls are the same size as in the calotte model, but the distance between the atoms is greater. The rods that connect the atoms represent the electronic interactions, or bonds, between the atoms. The direction, length, and angles of the rods are based on computational chemistry. A ball-and-stick model shows the molecule’s three-dimensional structure more clearly than a calotte model.

A 3D calotte model of a water molecule (H2O)
A 3D ball-and-stick model of a water molecule (H2O)

A structural formula gives the type and quantity of atoms in a molecule, the type of bonds between the atoms, and the geometry of the structure. Atoms are denoted using their chemical symbols and the bonds between the atoms are shown with lines. The angles between the bond lines may be real or, for drawing-technical reasons, simplified and approximate.

Structural formulae

A condensed structural formula depicts the structure of a molecule to the same accuracy as a structural formula, but some of the bond lines are not marked. Ethanol, for example, is represented as CH3 – CH2 – OH or even more concisely as CH3CH2OH.

A skeletal formula is the simplest way to represent structural formulae. The chemical symbols of carbon and hydrogen atoms are not marked. Carbon atoms are positioned at the ends of the lines, at corners, and at branches. Every such point also implies the maximum number of hydrogen atoms that can bond to the carbon atom in question. Foreign atoms and functional groups attached to hydrocarbon chains are denoted explicitly using their chemical symbols, as are hydrogen atoms bonded to atoms other than carbon atoms.

Skeletal formula

A three-dimensional structural formula is a more visual form of the structural formula. It represents the atoms’ key positions in a way that corresponds to ball-and-stick and calotte models. Three-dimensional structural formulae are used when we want to highlight a compound’s geometry in the structural formula. This is particularly significant in structural or constitutional isomerism and in spatial isomerism or stereoisomerism.

Three-dimensional structural formula

An empirical formula denotes the chemical proportions of elements in a compound. For example, the empirical formula of table salt is NaCl, which means that sodium and chloride occur in the compound in a ratio of 1:1. In glucose C6H12O6, carbon, hydrogen and oxygen occur in a ratio of 1:2:1, so its empirical formula is (CH2O)6. Sometimes a compound’s empirical formula is the same as its molecular formula. For example, H2O is both the empirical and molecular formula for water.

Subscript numbers in empirical formulae denote the ratios between quantities of elements in a mole of a compound. Different compounds can have the same empirical formula but different molecular formulae. For example, formaldehyde CH2O and glucose (CH2O)have the same empirical formula, but in the glucose molecule, the actual quantities are six times those found in formaldehyde (CH2O)6. The empirical formula can be used to determine the mass ratios and mass percentages.

Measurements tell us the type of element and their relative quantities, but not the positions of the atoms or the types of bonds. For example, the empirical formula for ethane C2H6 is CH3 or, more precisely, (CH3)x. When we find the value of x, we can solve the compound’s precise empirical, molecular, and structural formula.

A molecular formula gives the simple numbers and types of atoms contained in a compound, and possibly also their functional group. For example, the molecular formula for ethanol is C2H5OH, which highlights the OH group in the molecule. The molecular formula for glucose is C6H12O6, but this does not indicate that there are many OH groups in the compound.

Formulae of ionic compounds denote the charge of a particle. Individual atoms, groups of atoms, and molecules can occur as charged ions. For example, the formula for a water molecule is H2O, but when ionised, it becomes either an oxonium ion H3O+ or a hydroxide ion OH.

Many other kinds of formulae are used to denote electron structures. In a Lewis structure, valence electrons are denoted as dots next to the element’s chemical symbol. Electrons that form pairs are denoted with pairs of dots.

The Lewis structure

An electrostatic potential map illustrates the distribution of electric charges in the different parts of a molecule. Electrostatic potential maps are based on computational chemistry.

The electrostatic potential map for a water molecule (H2O) 

Which model should I choose?

The situation determines which model is most suitable. Choosing the right model is one of the professional skills of a chemist. No model completely corresponds to reality, because the molecule’s shape changes due to thermal vibrations.

MarvinSketch filemethanoic_acid.mrv

Lattice structures are used to denote how materials pack together

The types of lattice that determine a material’s structure are an ionic lattice, a covalent lattice, an atomic lattice, a metallic lattice and a molecular lattice. The type of lattice is determined by the type of bond holding the material together. Different lattice structures give materials different physical and chemical properties. For example, materials with ionic, covalent, and atomic lattices are hard with high melting points. The hardness, melting points and boiling points of materials with metallic lattices vary greatly. Materials with a molecular lattice are soft with low melting points.

An ionic lattice is based on ionic bonds. If ionic bonds are broken, the material melts. When the material cools, it solidifies, and the lattice reforms. A covalent lattice and atomic lattice are based on covalent bonds. For example, in silicon dioxide, each silicon and oxygen atom is covalently bonded to other atoms surrounding them. The structure continues in all directions, and it is not possible to distinguish individual SiO2 molecules – all bond lengths (Si–O) are the same. Diamond, on the other hand, comprises an extremely hard atomic lattice made of carbon atoms. Each carbon atom is covalently bonded to four other carbon atoms. A metallic lattice is based on a metallic bond. Particular properties of a metallic lattice include the free movement of electrons, which makes metals able to conduct electricity. A molecular lattice is based on weak bonds between molecules. For example, ice keeps its shape thanks to the hydrogen bonds in the water molecule. The hexagonal structure of the crystal is determined by the angles of the bond between oxygen and hydrogen atoms in the water molecule.

Comparing lattice structures

Atomic lattice

Non-polar lattice

Polar lattice

Ionic lattice

Metallic lattice

Solid structure

Structural components

atoms

non-polar molecules

polar molecules

positive and negative ions

metal ions and bonding electrons

Bonds between components

covalent bond

dispersion force

dipole-dipole bond 

ionic bond

metallic bond

Elements

usually elements of group 14 

non-metallic and non-metallic

usually non-metallic and non-metallic

metallic and non-metallic

metallic

Example substances

Si, C, SiC

O2, PH3

H2O, NH3

NaCl, MgF2

Mg, Cu

Electric conductivity

insulant

insulant

usually insulant, sometimes conductor

insulant (in solid form), conductor (when melted or dissolved in water)

conductor

Solubility

non-soluble

soluble in non-polar substances

soluble in water

soluble in water

non-soluble

Hardness

very hard

easily evaporating

hard but brittle

hard but brittle

malleable

a) What molecular model is shown in the image?

b) A skeletal formula often omits

  • all atoms.
  • carbon atoms.
  • hydrogen atoms.
  • both carbon and hydrogen atoms.

c) Which of the following compounds corresponds to the empirical formula (CH2O)x?

  • C2H202
  • C6H1206
  • C4H602
  • C4H402

d) In the image, what do the red and blue areas denote?

  • the way that the atom is bonded to other atoms
  • the atoms in the molecule
  • the distribution of electrons in the molecule
  • the colour of the molecule

e) ‘Lattice’ means

  • a regular structure formed by atoms, ions, or molecules
  • the atomic bonds in various compounds.
  • various physical properties of compounds and elements.
  • a material’s melting point, hardness, and boiling point.

Summary

  • We need different 3D models because each type of model provides different information. The aim is to highlight the details that we are investigating.
  • A structural formula gives the type and quantity of atoms in a molecule, the type of bonds between the atoms, and the geometry of the structure.
  • A condensed structural formula depicts the structure of a molecule to the same accuracy as a structural formula, but some of the bond lines are not marked.
  • An empirical formula denotes the chemical proportions of elements in a compound. For example, the empirical formula of table salt is NaCl, which means that sodium and chloride occur in the compound in a ratio of 1:1.
  • A molecular formula gives the simple numbers and types of atoms contained in a compound, and possibly also their functional group.
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