Born–Haber Cycle

The Born–Haber cycle is an approach to analyzing reaction energies. It was named after and developed by the two German scientists Max Born and Fritz Haber. The cycle is concerned with the formation of an ionic compound from the reaction of a metal (often a Group I or Group II element) with a non-metal.

Born–Haber cycles are used primarily as a means of calculating lattice energies (or more precisely enthalpies) which cannot otherwise be measured directly. The lattice enthalpy is the enthalpy change involved in the formation of an ionic compound from gaseous ions. Some chemists define it as the energy to break the ionic compound into gaseous ions. The former definition is invariably exothermic and the latter is endothermic. A Born–Haber cycle applies Hess' Law to calculate the lattice enthalpy by comparing the standard enthalpy change of formation of the ionic compound (from the elements) to the enthalpy required to make gaseous ions from the elements.

This latter calculation is complex. To make gaseous ions from elements it is necessary to atomise the elements (turn each into gaseous atoms) and then to ionise the atoms. If the element is normally a molecule then we first have to consider its bond dissociation enthalpy (see also bond energy). The energy required to remove one or more electrons to make a cation is a sum of successive ionization energies; for example the energy needed to form Mg2+ is the first plus the second ionization energies of Mg. The energy changes when successive electrons are added to an atom to make it an anion are called the electron affinities.

The Born-Haber cycle applies only to fully ionic solids such as certain alkali halides. Most compounds include covalent and ionic contributions to chemical bonding and to the lattice energy, which is represented by an extended Born-Haber thermodynamic cycle. The extended Born-Haber cycle can be used to estimate the polarity of compounds.

Read more about Born–Haber Cycle:  Example: Formation of Lithium Fluoride

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Born–Haber Cycle - Example: Formation of Lithium Fluoride
... by subtracting the other four energies in the Born–Haber cycle from the net enthalpy of formation ... The word cycle refers to the fact that one can also equate to zero the total enthalpy change for a cyclic process, starting and ending with LiF(s) in the example ...

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