Sabatier principle

The Sabatier principle is a qualitative concept in chemical heterogeneous catalysis named after the French chemist Paul Sabatier. It states that the interactions between the catalyst and the substrate should be "just right"; that is, neither too strong nor too weak. If the interaction is too weak, the substrate will fail to bind to the catalyst and no reaction will take place. On the other hand, if the interaction is too strong, the product fails to dissociate.[1]

Volcano plot for the decomposition of formic acid on transition metals

The principle can be shown graphically by plotting the reaction rate against a property such as the heat of adsorption of the reactant by the catalyst. Such plots pass through a maximum, looking roughly like a triangle or an inverted parabola, and are called volcano plots because of their shape.[1] Analogous three-dimensional plots can also be built against two different properties, such as the heats of adsorption of the two reactants for a two-component reaction. In that case the plot is generally shown as a contour plot and is called a volcano surface.[2] Volcano plots were introduced by Balandin.[3][4]

The figure on the right shows a volcano plot for the decomposition of formic acid using different transition metals as catalysts.[5] In this case, the heat of formation (ΔHf) of the metal formate salt was used for the x axis because studies showed that the reaction intermediate was a surface formate. For the y axis, the temperature at which the reaction reaches a specific rate was used (the y axis is plotted in reverse to preserve the conventional "volcano" shape). At low values of ΔHf, the reaction is slow (in other words, requires higher temperatures) because the rate of adsorption is slow and rate-limiting. At high values of ΔHf, desorption becomes the rate-limiting step. The maximum rate, which is observed for the platinum group metals in this case, requires intermediate values of ΔHf, with the rate being a combination of the rate of adsorption and the rate of desorption.[3]

References
  1. Gadi Rothenberg (2008). Catalysis: Concepts and Green Applications. Wiley-VCH. p. 65. ISBN 978-3-527-31824-7.
  2. Jun Cheng; P. Hu (2008). "Utilization of the Three-Dimensional Volcano Surface To Understand the Chemistry of Multiphase Systems in Heterogeneous Catalysis". J. Am. Chem. Soc. 130 (33): 10868–10869. doi:10.1021/ja803555g. PMID 18651740.
  3. Helmut Knözinger; Karl Kochloefl (2005). "Heterogeneous Catalysis and Solid Catalysts". Ullmann's Encyclopedia of Industrial Chemistry. Wiley-VCH Verlag. doi:10.1002/14356007.a05_313. ISBN 3527306730.
  4. Balandin, A. (1969). "Modern State of the Multiplet Theory of Heterogeneous Catalysis1". Adv. Catal. Rel. Subj. Advances in Catalysis. 19: 1–210. doi:10.1016/S0360-0564(08)60029-2. ISBN 9780120078196.
  5. Rootsaert, W. J. M.; Sachtler, W. M. H. (1960). "Interaction of Formic Acid Vapour with Tungsten". Zeitschrift für Physikalische Chemie. 26: 16–26. doi:10.1524/zpch.1960.26.1_2.016. ISSN 0942-9352.
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