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单词 Born-Haber cycle
释义 Born-Haber cycle
A cycle of reactions used for calculating the lattice energies of ionic crystalline solids. For a compound MX, the lattice energy is the enthalpy of the reaction
M+(g) + X-(g) → M+X-(s) ΔHL
The standard enthalpy of formation of the ionic solid is the enthalpy of the reaction
M(s) + ½X2(g) → M+X-(s) ΔHf
The cycle involves equating this enthalpy (which can be measured) to the sum of the enthalpies of a number of steps proceeding from the elements to the ionic solid. The steps are:
(1) Atomization of the metal:
M(s) → M(s) ΔH1
(2) Atomization of the nonmetal:
½X2(g) → X(g) ΔH2
(3) Ionization of the metal:
M(g) → M+(g) + e ΔH3
This is obtained from the ionization potential.
(4) Ionization of the nonmetal:
X(g) + e → X-(g) ΔH4
This is the electron affinity.
(5) Formation of the ionic solids:
M+(g) + X-(g) → M+X-(s) ΔHL
Equating the enthalpies gives:
ΔHf + ΔH1 + ΔH2 + ΔH3 + ΔH4 + ΔHL
from which ΔHL can be found. It is named after Max Born and the German chemist Fritz Haber (1868–1934)
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更新时间:2025/6/23 3:43:05