Surface Diffusion of Pt on Pt(110): Arrhenius Behavior of Long Jumps

Transition-pathway models of atomic diffusion on fcc metal surfaces. I. Flat surfaces

“…It has been well known that the long jump is favored when the most probable diffusion path is a straight line. 2,25,69,70 Obviously, such a long jump is less likely than the single hopping in the current systems considered. For example, under scanning tunneling microscopy study, the barrier for the double jump of a Pt adatom is 0.89 eV, which is slightly higher than 0.81 eV for the single jump in the missing row on the ͑1 ϫ 2͒ reconstructed Pt ͑110͒ substrate.…”

“…For example, under scanning tunneling microscopy study, the barrier for the double jump of a Pt adatom is 0.89 eV, which is slightly higher than 0.81 eV for the single jump in the missing row on the ͑1 ϫ 2͒ reconstructed Pt ͑110͒ substrate. 25,70 However, the activation energy of a long jump is the same as that of the associated single atomic-spacing jump, which limits the availability of the energetics approach to the study of long-jump diffusion. In order to calculate the exact diffusion rate of a long jump, we should consider the aforementioned prefactor and the energy barrier together in the context of nonadiabatic coupling of adatom and substrate excitation, which is beyond the current scope.…”

Diffusion rates of Cu adatoms on Cu(111) in the presence of an adisland nucleated at fcc or hcp sites

“…Many experiments based on field ion [26,27] and scanning tunnelling [2, 28,29] microscopies have been devoted to the determination of surface diffusion coefficients. However their interpretation may be somewhat tricky since, apart from peculiar cases, several elementary processes are involved.…”

Controlling activated surface diffusion by external fields

“…tion is modified by the symmetric field. We will Various experimental groups have reported sigshow in Section 3, that the presence of the external nificant probabilities for multiple hops [1,2]. Their symmetric field increases the probability of results have been interpreted in terms of multiple hops and that accordingly the diffusion Mel'nikov's theory [14,15,19] and with the aid of coefficient is increased.…”

“…atoms and molecules [1,2], the current-voltage If the barrier height V ‡&k B T then the diffusion characteristics of superconducting devices [3], or is activated, and the particle must receive energy the rotation of molecules in solids [4]. The 'stanfrom the surrounding bath in order to surmount dard' model studied by many authors is that of a the barrier and escape from its present metastable particle with mass m moving on a one-dimensional state.…”