Yiping Zhao's Characterization of Amorphous and Crystalline Rough Surface: PDF

By Yiping Zhao

The constitution of a development or an etch entrance on a floor isn't just a subject matter of significant curiosity from the sensible viewpoint but additionally is of primary medical curiosity. quite often surfaces are created lower than non-equilibrium stipulations such that the morphology isn't really consistently soft. as well as an in depth description of the features of random tough surfaces, Experimental equipment within the actual Sciences, quantity 37, Characterization of Amorphous and Crystalline tough Surface-Principles and functions will specialize in the elemental rules of actual and diffraction options for quantitative characterization of the tough surfaces. The ebook hence contains the most recent improvement at the characterization and measurements of a large choice of tough surfaces. The complementary nature of the true house and diffraction suggestions is totally displayed.

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Extra resources for Characterization of Amorphous and Crystalline Rough Surface: Principles and Applications

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We shall postpone a detailed description of self-affine surfaces with different a values until the next chapter. An equivalent function to the auto-correlation function R(p) is the height-height correlation function (or structure function) H(p), defined as H(p) - E { [ h ( r ) - h(r + p)]2}. 22) It can be related to R(p) as H(p) - 2w2[1 - R(p)]. , it is also an even function with respect to p, and has the following properties H(O) - O, H(p --+ co) - 2w 2. 24) One usually uses this height-height correlation function instead of the autocorrelation function to study the properties of random surfaces.

EXAMPLES OF RANDOM ROUGH SURFACES In Chapter 2 we discussed how to characterize a random rough surface. We know that different rough surfaces would have different statistical parameters, especially the height distributions and the correlation functions or power spectra. In this chapter, we will discuss in detail three different surface morphologies during thin film growth/etching processes: self-affine surfaces, mounded surfaces, and anisotropic surfaces. 1 Definition The fractal is a very useful concept for describing rough surfaces.

16) or the auto-correlation function, R(rl, r2) - G(rl, r2) . 17) Both G(rl, r2) and R(rl, r2) reflect the extension of a correlation of heights at two positions and depend on positions rl and r2. Sometimes R(rl, r2) is called the auto-correlation coefficient and is a dimensionless function. 19) and where p = Irl - r 2 1 . The quantity p is the translation and sometimes is called a lag or slip. , the value of an auto-covariance function G(p) at p = 0 is equal to the variance of a surface height.

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