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ANNUAL REPORT - MTA SzFKI

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the α2 reconstruction increases on the surface, but the β2 phase remains within the whole<br />

temperature range, in agreement with previous experimental findings. Our results show<br />

that the combination of the experimental and theoretical results is a prerequisite for the<br />

accurate analysis of the SCLSs of the complex reconstructed surfaces.<br />

The surface core-level binding-energy shift of Pd at the Ag c Pd 1−c (111) surface is<br />

calculated as a function of bulk concentration of the alloy. The equilibrium volume and the<br />

surface concentration profile used in the calculations refer to the 0 K case. The SCLSs are<br />

evaluated within the Z + 1 approximation. The results are analysed using the mixing<br />

enthalpy of the alloy and the bulk and surface chemical potentials. A relation of the SCLS<br />

to the bulk concentration is considered. This relation is shown to be mediated by the<br />

surface concentration profile which induces the observed nonlinear behaviour. The results<br />

are interpreted using a simple model for the alloy electronic structure.<br />

We have performed first principles calculations with the density functional theory based<br />

VASP code to study the vibrational properties of various carbon nanostructures. In<br />

detail, the following topics were investigated:<br />

We calculated the Raman active longitudinal optical (LO) frequencies for carbon<br />

oligoynes and polyyne. We introduced a linear/exponential scaling scheme based on the<br />

exponential behavior of the carbon-carbon bond stretching force constant couplings in<br />

quasi-one-dimensional conjugated chains. This novel scaling scheme was found to yield<br />

frequencies that agree well with experimental results on long linear carbon chains<br />

encapsulated inside multiwalled or double walled carbon nanotubes. Vibrational modes of<br />

13 C isotope enriched single walled carbon nanotubes are inhomogeneously broadened due<br />

to the random distribution of isotopes. We studied this effect on the radial breathing mode<br />

theoretically and compared the result with experiments on inner tubes in double walled<br />

carbon nanotubes grown from 13 C-enriched fullerenes. We have found evidence of the<br />

absence of carbon diffusion along the tube axis during inner tube growth, supporting the<br />

theory of inner tube growth by Stone-Wales transformations from interconnected<br />

fullerenes. The energy dispersion of the D* (G') band shows a strong diameter dependence<br />

according to Raman measurements on double walled carbon nanotubes, with the Raman<br />

shift of the small diameter inner tubes showing an average softening. We have shown that<br />

the experimental observation can be reproduced by simple model calculations if the<br />

curvature effects are taken into account. The phonon softening with increasing curvature<br />

was proven by first principles calculations.<br />

We performed ab-initio calculations of the magnetic moments and magnetic anisotropy<br />

energies of small FeCo clusters of varying composition on top of a Cu(100) substrate.<br />

Three different cluster layouts have been considered, namely 2X2, 3X3 and cross-like<br />

pentamer clusters. The ratio of Co atoms with respect to the total number in a chosen<br />

cluster (”concentration”) was varied and all possible arrangements of the atomic species<br />

were taken into account. Calculations have been performed fully relativistic using the<br />

embedded-cluster technique in conjunction with the screened Korringa-Kohn-Rostoker<br />

method and the magnetocrystalline anisotropy energy (MAE) has been evaluated by means<br />

of the magnetic force theorem. A central result of the investigations is that the size of the<br />

magnetic moments of the individual Fe and Co atoms and their contributions to the<br />

anisotropy energy depend on the position they occupy in a particular cluster and on the<br />

type and the number of nearest-neighbors. The MAE for the 2X2 and 3X3 clusters varies<br />

with respect to the „concentration” of Co atoms in the same manner as the corresponding<br />

monolayer case, whereas the pentamer clusters show a slightly different behavior.<br />

14

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