Roughening by Ion Bombardment: A Stochastic Continuum Equation

1994 ◽  
Vol 367 ◽  
Author(s):  
R. Cuerno ◽  
A.-L. Barabasi

AbstractIn the context of linear cascade theory, we derive a stochastic nonlinear equation to describe the evolution and scaling properties of surfaces eroded by ion bombardment. The coefficients appearing in the equation are calculated explicitly in terms of the physical parameters characterizing the sputtering process. We find that transitions may take place between various scaling behaviors when experimental parameters such as the angle of incidence of the incoming ions or their average penetration depth, are varied.

1995 ◽  
Vol 407 ◽  
Author(s):  
A.-L. Barabási ◽  
R. Cuerno

ABSTRACTRecently a number of experimental studies focusing on the scaling properties of surfaces eroded by ion bombardment provided apparently contradictory results. A number of experiments report the observation of self-affine fractal surfaces, while others provide evidence about the development of a non-fractal periodic ripple structure. To explain these discrepancies, here we derive a stochastic nonlinear equation that describes the evolution and scaling properties of surfaces eroded by ion bombardment. The coefficients appearing in the equation can be calculated explicitly in terms of the physical parameters characterizing the sputtering process. We find that transitions may take place between various scaling behaviors when experimental parameters, such as the angle of incidence of the incoming ions or their average penetration depth, are varied.


1990 ◽  
Vol 34 ◽  
pp. 71-80 ◽  
Author(s):  
Manfred Schuster

AbstractX-ray fluorescence excited by a monochromatic collimated Mo-Kα beam at grazing incidence is measured as a function of the angle of incidence. Monochromatic excitation guarantees a well-defined penetration depth and enables a simple analytical description of the fluorescence intensity. This method is applied to a system of thin Cu and Ti metallization layers on a Si wafer and to As dopant concentration profiles in Si wafers.Thereby, the effect of annealing can be analyzed non-destructively.


1989 ◽  
Vol 112 (1) ◽  
pp. 263-272 ◽  
Author(s):  
M. Posselt

2003 ◽  
Vol 21 (3) ◽  
pp. 553-557 ◽  
Author(s):  
A. Barna ◽  
M. Menyhard ◽  
G. Zsolt ◽  
A. Koos ◽  
A. Zalar ◽  
...  

2005 ◽  
Vol 98 (2) ◽  
pp. 024901 ◽  
Author(s):  
A. Barna ◽  
M. Menyhard ◽  
L. Kotis ◽  
Gy. J. Kovacs ◽  
G. Radnoczi ◽  
...  

Author(s):  
Leonardo Sant’Anna do Nascimento

Abstract This paper has been influenced by a basic question: assuming a torpedo pile launching in a base case scenario, which parameters, when not well controlled, would affect more the pile final penetration depth? Aiming to provide an answer to this question, the methodology adopted in this study assumes the application of numerical simulations and statistical analyses in order to quantify the influence of the uncertainties of such parameters in the final penetration depth. From the assessment, one may expect responses in terms of which parameters shall be better controlled during a launching procedure in order to reduce the uncertainties associated to the target depth. For the development of the study, a simplified approach for the dynamic numerical analyses has been adopted in order to allow a massive data generation for the statistical treatment. The main parameters associated to the torpedo pile and the launching scenario have been generated taking into account their uncertainties. The Monte Carlo method has been considered and statistical treatment has been applied to quantify the influence of the parameters in the final penetration depth. The results demonstrate that apply the simplified method described in the paper is adequate to simulate both the subsea free fall and the pile driving phases to obtain the final penetration depths. The torpedo mass has been found as the physical parameter which influences more the final penetration depth. However, the study demonstrates that, given a standard launching procedure assessed by numerical simulations, uncertainties on physical parameters are much less significant for the final penetration depth than the uncertainties inherent to the assumptions and data applied to simulate the soil damping.


1993 ◽  
Vol 8 (8) ◽  
pp. 1938-1957 ◽  
Author(s):  
Daniel J. Kester ◽  
Russell Messier

Negative ion bombardment of an evolving thin film can cause changes in the film's surface due to resputtering of the already deposited material. Through the study of rf-sputtered perovskite (BaTiO3) thin films, we have found that surface micro-effects, i.e., changes in the surface morphology of the films at the μm-scale level, are dependent on the deposition conditions. Ripples, cones, ridges, and etch pits of various shapes and sizes were all observed on growing films. A transformation of the morphology of the top surface of the film as a function of both deposition time and location on the substrate has been observed. The type of surface morphology found at any point was found to be dependent on a number of factors, including deposition rates, flux and energy of bombarding ions, and the average angle of incidence of the bombarding ions. We have developed a qualitative model for the formation of these surface features, based on the resputtering yield as a function of the average angle of incidence of the bombarding ions. The model suggests that surface nonuniformities, often ripples, initiate the development of etch pits. Other mechanisms of the surface morphology development (such as clustering) are used to explain the formation of surface features other than etch pits.


1966 ◽  
Vol 44 (11) ◽  
pp. 2905-2914 ◽  
Author(s):  
J. L. Whitton ◽  
Hj. Matzke

The range and depth distributions of 40-keV xenon ions in single crystals of NaCl, KBr, MgO, SiO2 (α quartz), in sintered UO2 and in fused silica, have been measured by the sectioning techniques of vibratory polishing and chemical dissolution. Channeling is observed in the single crystals when the [Formula: see text] is oriented parallel to the incident beam of the ions. This effect is similar to that previously reported for some metal single crystals. High bombardment doses produce a factor of 2–5 decrease in penetration depth in MgO and SiO2, materials which are known to be damaged by ion bombardment. This decrease is smaller in materials that do not show gross ion bombardment damage, such as NaCl, KBr, and UO2. Thus, the study of ranges is shown to be another means of detecting gross radiation damage.


1992 ◽  
Vol 268 ◽  
Author(s):  
W. A. Lewis ◽  
H. Saffari ◽  
M. Farle ◽  
E. Kay ◽  
S. B. Hagstrom

ABSTRACTNi films 250 to 1500 Å thick are prepared on polished amorphous quartz substrates in ultrahigh vacuum by ion beam sputter deposition. The growing film is bombarded simultaneously with Xe+ ions at an oblique angle of incidence. The structural and magnetic modifications are studied for different film thicknesses as a function of Xe+ ion energies (50–200 eV) and relative flux of arriving Ni atoms/Xe ions at the substrate. Lattice spacings and degree of texturing are determined by x-ray diffraction. Magnetic in-plane anisotropy is determined by longitudinal magneto-optic Kerr effect measurements. Our results show that an uniaxial in-plane magnetic anisotropy is induced with the hard magnetization direction parallel to the plane of incidence of the secondary Xe+ ions, and a (111) texture with an increased plane spacing of 0.5% is measured. The microstructure of the film and the magnitude of the anisotropy is sensitive to film thickness and flux ratio. For films prepared without secondary ion bombardment, the plane spacings correspond to those for bulk Ni, and isotropic magnetic behavior is observed.


1984 ◽  
Vol 136 (1) ◽  
pp. A6
Author(s):  
J.J. Jimenez-Rodriguez ◽  
D.S. Karpuzov ◽  
D.G. Armour

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