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- W2128061497 abstract "In situ high-temperature (1165--1248 K) scanning-tunneling microscopy was used to measure temporal fluctuations about the anisotropic equilibrium shape of two-dimensional TiN(111) adatom and vacancy islands on atomically smooth TiN(111) terraces. The equilibrium island shape was found to be a truncated hexagon bounded by alternating 〈110〉 steps, which form [100] and [110] nanofacets with the terrace. Relative step energies ensuremath{beta} as a function of step orientation ensuremath{varphi} were obtained from the inverse Legendre transformation of the equilibrium island shape to within an orientation-independent scale factor ensuremath{lambda}, the equilibrium chemical potential of the island per unit TiN area. We find that for alternating ${S}_{1}$ and ${S}_{2}$ 〈110〉 steps, the ratio ${ensuremath{beta}}_{1}/{ensuremath{beta}}_{2}=0.72ifmmodepmelsetextpmfi{}0.02.$ The parameter ensuremath{lambda} and, hence, absolute orientation-dependent values of ensuremath{beta}(ensuremath{varphi}) and step stiffnesses $stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{beta}}(ensuremath{varphi})$ were extracted from quantitative shape fluctuation data using an exact theoretical approach valid for anisotropic islands. For the two 〈110〉 steps, we obtain ${ensuremath{beta}}_{1}=0.23ifmmodepmelsetextpmfi{}0.05$ and ${stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{beta}}}_{1}=1.9ifmmodepmelsetextpmfi{}1.1mathrm{eV}/AA{}$ with ${ensuremath{beta}}_{2}=0.33ifmmodepmelsetextpmfi{}0.07$ and ${stackrel{ifmmode tilde{}else ~{}fi{}}{ensuremath{beta}}}_{2}=0.08ifmmodepmelsetextpmfi{}0.02mathrm{eV}/AA{}$ over the observed temperature range. Due to the correspondingly high kink energies, TiN(111) step energies exhibit only a very weak temperature dependence between 0 K and the maximum measurement temperature 1248 K." @default.
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- W2128061497 date "2003-01-16" @default.
- W2128061497 modified "2023-10-14" @default.
- W2128061497 title "Absolute orientation-dependent anisotropic TiN(111) island step energies and stiffnesses from shape fluctuation analyses" @default.
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- W2128061497 doi "https://doi.org/10.1103/physrevb.67.035409" @default.
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