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This [[Pauli exclusion]] and repulsion are particularly strong for atoms with closed valence shells that dominate the surface interaction. As a result, the minimum energy of physisorption must be found by the balance between the long-range van der Waals attraction and short-range [[Pauli repulsion]]. For instance, by separating the total interaction of physisorption into two contributions—a short-range term depicted by [[Hartree&ndash;Fock]] theory and a long-range van der Waals attraction—the equilibrium position of physisorption for rare gases adsorbed on [[jellium]] substrate can be determined.<ref name="Kohn">{{Citation | author=E. Zaremba and W. Kohn|title= Theory of helium adsorption on simple and noble-metal surfaces| journal= Phys. Rev. B| volume=15 | issue=4 | pages= 1769–1781| year=1977 | doi=10.1103/PhysRevB.15.1769|bibcode = 1977PhRvB..15.1769Z }}</ref> Fig. 2 shows the physisorption potential energy of He adsorbed on Ag, Cu, and Au substrates which are described by the [[jellium]] model with different densities of smear-out background positive charges. It can be found that the weak van der Waals interaction leads to shallow attractive energy wells (<10&nbsp;meV). One of the experimental methods for exploring physisorption potential energy is the scattering process, for instance, inert gas atoms scattered from metal surfaces. Certain specific features of the interaction potential between scattered atoms and surface can be extracted by analyzing the experimentally determined angular distribution and cross sections of the scattered particles.
 
== Quantum Mechanicalmechanical - Thermodynamicthermodynamic modelling for surface area and porosity ==
Since 1980 two theories were worked on to explain adsorption and obtain equations that work. These two are referred to as the chi hypothesis, the quantum mechanical derivation, and Excessexcess Surfacesurface Workwork, ESW.<ref>{{Cite book|last=Condon|first=James|title=Surface Area and Porosity Determinations by Physisorption, 2nd edition. Measurement, Classical Theory and Quantum Theory.|publisher=Elsevier|year=2020|isbn=978-0-12-818785-2|location=Amsterdam, NL|pages=Chapters 3, 4 and 5}}</ref> Both these theories yield the same equation for flat surfaces:
 
<math>\theta=(\chi-\chi_\text{c})U(\chi-\chi_\text{c})</math>
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* The elementary step in physisorption from a gas phase does not involve an [[activation energy]]. Chemisorption often involves an activation energy.
* For physisorption gas phase molecules, adsorbates, form multilayer adsorption unless physical barriers, such as porosity, interfere. In chemisorption, molecules are adsorbed on the surface by valence bonds and only form monolayer adsorption.
* A direct transition from physisorption to chemisorption has been observed by attaching a CO molecule to the tip of an atomic force microscope and measuring its interaction with a single iron atom. <ref>{{cite journal|last=Huber|first=F.|title=Chemical bond formation showing a transition from physisorption to chemisorption|journal=Science|date=12 September 2019|volume=365|issue=6462|pages=235–238|doi=10.1126/science.aay3444|bibcode = 2019Sci...365..235H|display-authors=etal|pmid=25791086|s2cid=202569091|doi-access=free}} </ref> This effect was observed in the late 1960s for benzene from field emission as reported by Condon<ref>{{Cite thesis|last1=Condon|first=J. B.|date=1968|title=Field EmmisionEmission and Flash Filament Studies of Hydrogenation and Dehydrogenation of Cyclohexane and Benzene on a Tungsten Surface}}</ref> and ESR measurements as reported by Moyes and Wells.<ref>{{Cite journal|last1=Moyes|first1=M. L.|last2=Wells|first2=P. B.|date=1973|title=Adsorption of Benzene on Metals|journal=Adv. Catal.|volume=20|pages=591–622}}</ref>
* Another way of looking at this is that chemisorption alters the <u>topology</u> of the electrons in the adsorbate molecule (by the process of chemical reaction) but physisorption does not.
 
==See also==
*[[Adsorption]]
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==References==
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[[Category:Surface science]]