Substrate-mediated dispersion interaction between adsorbed atoms and molecules

1982 ◽  
Vol 123 (2-3) ◽  
pp. A449
Author(s):  
Susanna Rauber ◽  
JamesR. Klein ◽  
MiltonW. Cole ◽  
L.W. Bruch
1982 ◽  
Vol 123 (2-3) ◽  
pp. 173-178 ◽  
Author(s):  
Susanna Rauber ◽  
James R. Klein ◽  
Milton W. Cole ◽  
L.W. Bruch

One object of this series of papers (Lennard-Jones and others 1935-7) is to consider in detail the mechanism of condensation, migration and evaporation of atoms and molecules at solid surfaces and to try to find the processes which govern the transition from one state to another. It has been shown that under certain conditions the thermal vibrations of a solid may activate an adsorbed atom from one vibrational state to a higher one or even eject it from the surface altogether. But the theory there developed is limited in the sense that it deals only with the transfer of single quanta to or from the solid, and consequently the quantized vibrational levels of the adsorbed atom must be closer together than the largest single quantum of energy which the solid can emit. An attempt has been made (Strachan 1937) to find the probability of the simultaneous emission or absorption of several quanta by the solid, and the indication is that the probability of several such simultaneous events is small. Now when atoms are bound to solid surfaces by valency forces, the vibrational levels are widely spaced compared with those of the solid, and many thermal quanta must be transferred simultaneously to the adsorbed atom to change its state of vibration. While this process may occur in nature, it seemed desirable to look for other possible processes whereby adsorbed atoms could be activated to higher vibrational states. One such possible mechanism, in metals at any rate, is by the transfer of energy from the conduction electrons. A simple calculation by classical methods indicates that in a typical case a surface atom may suffer as many as 10 15 collisions per second with the “free” electrons of a metal, and as, according to modern views, these electrons are moving with an energy of several volts, there is here an ample reservoir of energy from which adsorbed atoms may absorb energy or to which they can re-emit it, and thus change their vibrational state, or indeed, also their electronic state.


2000 ◽  
Vol 332 (1-2) ◽  
pp. 26-34 ◽  
Author(s):  
Milen K. Kostov ◽  
Milton W. Cole ◽  
John Courtenay Lewis ◽  
Phong Diep ◽  
J.Karl Johnson

In the first two papers of this series (to be referred to as papers I and II) calculations were made of the probability that an atom adsorbed on a solid surface would be excited to states of higher vibrational energy and to states in the continuum, equivalent to evaporation. In this paper we carry the theory of evaporation a stage further and also develop a theory of condensation and show the relation of the theory to the method of statistical mechanics. Langmuir showed by a simple dynamical argument that under certain assumptions a solid surface in contact with a gas would be partially covered with adsorbed atoms and that the fraction of the surface covered could be expressed in terms of the pressure of the gas by the simple relation θ = ap /(1 + ap ). The parameter a is proportional to the product of a quantity τ, which is the average time spent by an atom in the adsorbed phase, and a quantity c , which is the probability that an atom striking the surface shall be adsorbed. Recently bowlers has shown that Langmuir's formula is essentially a thermodynamic one and can be obtained without involving a precise mechanism either of adsorption or evaporation. By adjusting the parameter a , the formula can be made to fit many of the experimental results and so the value of the product c τ can be inferred. This is probably as far as the statistical method can go. It cannot determine either c or τ uniquely, and if estimates are to be made of then information about c must be obtained from other sources. It is often assumed that c is of the order of unity, but this cannot be true in all cases, or even in the most interesting ones, for, as Roberts has shown, the accommodation coefficient (which is a measure of the probability that an atom will gain or lose energy on striking a solid surface) is sometimes very small. It is as low as 0·05 for helium striking tungsten and only 0·07 for neon striking tungsten at room temperature.


1983 ◽  
Vol 27 (2) ◽  
pp. 1314-1320 ◽  
Author(s):  
Susanna Rauber ◽  
James R. Klein ◽  
Milton W. Cole

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