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The energetics of transition and noble metal (Rh, Pd, Cu) vicinal surfaces,i.e., surface energy, step energy, kink energy and electronic interactionsbetween steps, is studied at 0K from electronic structure calculations in thetight-binding approximation using a {\it s, p} and {\it d} valence orbitalbasis set. Then, the surface phonon spectra of copper are investigated in theharmonic approximation with the help of a semi-empirical inter-atomicpotential. This allows to derive the contribution of phonons at finitetemperatures to the step free energy and to the interactions between steps. Thelast part is devoted to the stability of vicinal surfaces relative to facetingwith special attention to the domain of orientations (100)-(111).Semi-empirical potentials are shown to be not realistic enough to give areliable answer to this problem. The results derived from electronic structurecalculations predict a variety of behaviors and, in particular, a possiblefaceting into two other vicinal orientations. Finally, temperature effects arediscussed. Comparisons are made with other theoretical works and availableexperiments

On x-ray channelling in microcapillaries and nanocapillaries