Analysis of direct correlation measurements from adsorbed atom fluctuations

2000 ◽  
Vol 62 (7) ◽  
pp. 4672-4680 ◽  
Author(s):  
Z. Chvoj ◽  
E. Conrad ◽  
M. Tringides
Keyword(s):  

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.


2012 ◽  
Vol 26 (28) ◽  
pp. 1250188 ◽  
Author(s):  
MIKHAIL B. BELONENKO ◽  
ANASTASIA V. PAK ◽  
ALEXANDER V. ZHUKOV ◽  
ROLAND BOUFFANAIS

In this paper we study the electron energy spectrum corresponding to Landau levels in doped graphene when an external magnetic field is applied in the direction normal to the graphene planar sheet. The derived dispersion relation for the electrons in the doped graphene allows us to determine the dependence of the electrical conductivity on the applied magnetic field. This relationship between electrical conductivity and applied magnetic field is further analyzed for different characteristics of the impurities; specifically the potential of hybridization and the energy of the adsorbed atom.


The method used in the preceding paper implies that it is only the motion of the adsorbed atom perpendicular to the surface which is changed by the interaction of the solid, and the object of this paper is to remove that restriction and to formulate the method in more general terms. We suppose the adsorbed atom held by one of the atoms of the solid in such a way that it can vibrate relative to it not only radially but also laterally. Whereas in the example worked out in the preceding paper the adsorbed atom could vibrate normally to the surface and migrate freely along it, in the example considered in this paper the adsorbed atom an vibrate radially and laterally but cannot migrate. Owing to the other atoms of the surface, the motion of the adsorbed atom is confined to one side of a plane and the lateral motion can be regarded as taking place on a hemisphere. We suppose that the field of attraction can be represented by a function of the distance from the attraction can be represented by a function of the distance from the attracting centre.


1981 ◽  
Vol 23 (8) ◽  
pp. 3914-3919 ◽  
Author(s):  
MIlton W. Cole ◽  
Flavio Toigo

1978 ◽  
Vol 56 (12) ◽  
pp. 1531-1538 ◽  
Author(s):  
A. Modinos ◽  
G. Oxinos

The electronic states of a model Hamiltonian representing a single impurity atom adsorbed on the surface of a semi-infinite crystal are described in general terms. The model potential field is constructed by abruptly terminating the potential of the infinite crystal at the surface and by replacing the potential outside the crystal by a constant. The adsorbed atom is represented by a spherical potential of the muffin-tin type superimposed on the constant potential on the vacuum side of the metal–vacuum interface. A method for evaluating the eigenvalues and eigenfunctions of this model Hamiltonian is presented.


1993 ◽  
Vol 15 (2-3) ◽  
pp. 577-585
Author(s):  
V. Celli ◽  
G. Urzua
Keyword(s):  

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