Equilibrium fractionation

Equilibrium fractionation

Equilibrium isotope fractionation is the partial separation of isotopes between two or more substances in chemical equilibrium. Equilibrium fractionation is strongest at low temperatures, and (along with kinetic isotope effects) forms the basis of the most widely used isotopic paleothermometers (or climate proxies): D/H and 18O/16O records from ice cores, and 18O/16O records from calcium carbonate. It is thus important for the construction of geologic temperature records. Isotopic fractionations attributed to equilibrium processes have been observed in many elements, from hydrogen (D/H) to uranium (238U/235U). In general, the light elements (especially hydrogen, boron, carbon, nitrogen, oxygen and sulfur) are most susceptible to fractionation, and their isotopes tend to be separated to a greater degree than heavier elements.

Most equilibrium fractionations are thought to result from the reduction in vibrational energy (especially zero-point energy) when a more massive isotope is substituted for a less massive one. This leads to higher concentrations of the massive isotopes in substances where the vibrational energy is most sensitive to isotope substitution, i.e., those with the highest bond force constants.

In a reaction involving the exchange of two isotopes, lX and hX, of element “X” in molecules AX and BX,

:A^lX + B^hX leftrightarrow A^hX + B^lX

each reactant molecule is identical to a product except for the distribution of isotopes (i.e., they are isotopologues). The amount of isotopic fractionation in an exchange reaction can be expressed as a fractionation factor:

:alpha = frac{(^hX/^lX)_{AX{(^hX/^lX)_{BX

alpha = 1 indicates that the isotopes are distributed evenly between AX and BX, with no isotopic fractionation. alpha > 1 indicates that hX is concentrated in substance AX, and alpha < 1 indicates hX is concentrated in substance BX. alpha is closely related to the equilibrium constant (Keq):

:alpha = (K_{eq} cdot Pi sigma_{Products}/ Pi sigma_{Reactants})^{1/n}

where Pisigma_{Products} is the product of the rotational symmetry numbers of the products (right side of the exchange reaction), Pisigma_{Reactants} is the product of the rotational symmetry numbers of the reactants (left side of the exchange reaction), and n is the number of atoms exchanged.

An example of equilibrium isotope fractionation is the concentration of heavy isotopes of oxygen in liquid water, relative to water vapor,

:H_2^{16}O_{(l)} + H_2^{18}O_{(g)} leftrightarrow H_2^{18}O_{(l)} + H_2^{16}O_{(g)}

At 20oC, the equilibrium fractionation factor for this reaction is

:alpha = frac{(^{18}O/^{16}O)_{Liquid{(^{18}O/^{16}O)_{Vapor = 1.0098

Equilibrium fractionation is a type of mass-dependent isotope fractionation, while mass-independent fractionation is usually assumed to be a non-equilibrium process.

ee also

Stable isotope

Isotope geochemistry

Kinetic isotope effect

Isotope analysis


Kinetic fractionation

Mass-independent fractionation


Chacko T., Cole D.R., and Horita J. (2001) Equilibrium oxygen, hydrogen and carbon isotope fractionation factors applicable to geologic systems. Reviews in Mineralogy and Geochemistry, v. 43, p. 1-81.

Horita J. and Wesolowski D.J. (1994) Liquid-vapor fractionation of oxygen and hydrogen isotopes of water from the freezing to the critical temperature. Geochimica et Cosmochimica Acta, v. 58, p. 3425-2437.

Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • isotopic fractionation — ▪ chemistry       enrichment of one isotope relative to another in a chemical or physical process. Two isotopes of an element are different in weight but not in gross chemical properties, which are determined by the number of electrons. However,… …   Universalium

  • Mass-independent fractionation — Mass independent (isotope) fractionation refers to any chemical or physical process that acts to separate isotopes, where the amount of separation does not scale in proportion with the difference in the masses of the isotopes. Most isotopic… …   Wikipedia

  • Kinetic fractionation — is a process that separates stable isotopes from each other by their mass during unidirectional processes.One naturally occurring example of kinetic fractionation is the evaporation of seawater to form clouds. In this instance, isotopically… …   Wikipedia

  • Isotope fractionation — There are three types of isotope fractionation: * equilibrium fractionation * kinetic fractionation * mass independent fractionation …   Wikipedia

  • Chemical equilibrium — In a chemical reaction, chemical equilibrium is the state in which the concentrations of the reactants and products have not yet changed with time. It occurs only in reversible reactions, and not in irreversible reactions. Usually, this state… …   Wikipedia

  • Stable isotope — Graph of isotopes/nuclides by type of decay. Orange and blue nuclides are unstable, with the black squares between these regions representing stable nuclides. The unbroken line passing below many of the nuclides represents the theoretical… …   Wikipedia

  • Oxygen-18 — Full table General Name, symbol Oxygen 18,18O or Ω Neutrons 10 Protons 8 …   Wikipedia

  • Distillation — Distiller and Distillery redirect here. For other uses, see Distiller (disambiguation) and Distillery (disambiguation). For other uses, see Distillation (disambiguation). Laboratory display of distillation: 1: A heating device 2: Still pot 3:… …   Wikipedia

  • separation and purification — ▪ chemistry Introduction       in chemistry, separation of a substance into its components and the removal of impurities. There are a large number of important applications in fields such as medicine and manufacturing. General principles… …   Universalium

  • rare-earth element — /rair errth /, Chem. any of a group of closely related metallic elements, comprising the lanthanides, scandium, and yttrium, that are chemically similar by virtue of having the same number of valence electrons. Also called rare earth metal. [1955 …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”