Quantitative studies of two-dimensional first- and second-order phase transitions by integrating diffraction methods

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

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  • Texas A and M University
  • Institute of Physics National Academy of Sciences in Ukraine
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OriginalspracheEnglisch
Seiten (von - bis)9933-9942
Seitenumfang10
FachzeitschriftJournal of Physics Condensed Matter
Jahrgang11
Ausgabenummer49
PublikationsstatusVeröffentlicht - 13 Dez. 1999
Veranstaltung1999 Workshop on Thin Films and Phase Transitions on Surface - Pamporov, Bulgarien
Dauer: 21 Feb. 199926 Feb. 1999

Abstract

Using low-energy electron diffraction (LEED), we show for two classes of systems, which are representative for second- and first-order phase transitions in adsorbed layers, that quantitative properties of phase transitions can be studied also by using integrated diffracted intensities, turning the instrument to low resolution in two-dimensional reciprocal space, k. For the continuous order-disorder phase transitions of several atomic adsorption systems, critical properties have been studied by determination of the critical exponents α (of the specific heat) and η, the anomalous critical dimension, in the limit k∥ξ ≫ 1. We performed systematic tests of the conditions under which these exponents can be determined reliably from the diffracted intensity of superstructure beams. In first-order phase transitions, scaling laws characterize specific mechanisms driving the transitions. As an example of two-dimensional first-orderphase transitions, the transitions between a two-dimensional (2D) gas and the 2D solid of the first monolayer have been studied for the noble gases Ar, Kr and Xe on a NaCl(100) surface in quasi-equilibrium with the three-dimensional (3D) gas phase. Using linear temperature ramps, we show that the widths of the hysteresis loops of these transitions as a function of the heating rate, r, scale with a power law ∝rx with x between 0.4 and 0.5 depending on the system. The hysteresis loops for different heating rates are similar. The island area of the condensed layer was found to grow initially with a time dependence ∝t4. These results are in agreement with a model of growth-controlled hysteresis, which predicts x = 0.5 and hysteresis loop similarity.

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Quantitative studies of two-dimensional first- and second-order phase transitions by integrating diffraction methods. / Pfnür, Herbert; Voges, C.; Budde, K. et al.
in: Journal of Physics Condensed Matter, Jahrgang 11, Nr. 49, 13.12.1999, S. 9933-9942.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Pfnür H, Voges C, Budde K, Lyuksyutov I, Everts HU. Quantitative studies of two-dimensional first- and second-order phase transitions by integrating diffraction methods. Journal of Physics Condensed Matter. 1999 Dez 13;11(49):9933-9942. doi: 10.1088/0953-8984/11/49/311
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abstract = "Using low-energy electron diffraction (LEED), we show for two classes of systems, which are representative for second- and first-order phase transitions in adsorbed layers, that quantitative properties of phase transitions can be studied also by using integrated diffracted intensities, turning the instrument to low resolution in two-dimensional reciprocal space, k∥. For the continuous order-disorder phase transitions of several atomic adsorption systems, critical properties have been studied by determination of the critical exponents α (of the specific heat) and η, the anomalous critical dimension, in the limit k∥ξ ≫ 1. We performed systematic tests of the conditions under which these exponents can be determined reliably from the diffracted intensity of superstructure beams. In first-order phase transitions, scaling laws characterize specific mechanisms driving the transitions. As an example of two-dimensional first-orderphase transitions, the transitions between a two-dimensional (2D) gas and the 2D solid of the first monolayer have been studied for the noble gases Ar, Kr and Xe on a NaCl(100) surface in quasi-equilibrium with the three-dimensional (3D) gas phase. Using linear temperature ramps, we show that the widths of the hysteresis loops of these transitions as a function of the heating rate, r, scale with a power law ∝rx with x between 0.4 and 0.5 depending on the system. The hysteresis loops for different heating rates are similar. The island area of the condensed layer was found to grow initially with a time dependence ∝t4. These results are in agreement with a model of growth-controlled hysteresis, which predicts x = 0.5 and hysteresis loop similarity.",
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T1 - Quantitative studies of two-dimensional first- and second-order phase transitions by integrating diffraction methods

AU - Pfnür, Herbert

AU - Voges, C.

AU - Budde, K.

AU - Lyuksyutov, I.

AU - Everts, H. U.

PY - 1999/12/13

Y1 - 1999/12/13

N2 - Using low-energy electron diffraction (LEED), we show for two classes of systems, which are representative for second- and first-order phase transitions in adsorbed layers, that quantitative properties of phase transitions can be studied also by using integrated diffracted intensities, turning the instrument to low resolution in two-dimensional reciprocal space, k∥. For the continuous order-disorder phase transitions of several atomic adsorption systems, critical properties have been studied by determination of the critical exponents α (of the specific heat) and η, the anomalous critical dimension, in the limit k∥ξ ≫ 1. We performed systematic tests of the conditions under which these exponents can be determined reliably from the diffracted intensity of superstructure beams. In first-order phase transitions, scaling laws characterize specific mechanisms driving the transitions. As an example of two-dimensional first-orderphase transitions, the transitions between a two-dimensional (2D) gas and the 2D solid of the first monolayer have been studied for the noble gases Ar, Kr and Xe on a NaCl(100) surface in quasi-equilibrium with the three-dimensional (3D) gas phase. Using linear temperature ramps, we show that the widths of the hysteresis loops of these transitions as a function of the heating rate, r, scale with a power law ∝rx with x between 0.4 and 0.5 depending on the system. The hysteresis loops for different heating rates are similar. The island area of the condensed layer was found to grow initially with a time dependence ∝t4. These results are in agreement with a model of growth-controlled hysteresis, which predicts x = 0.5 and hysteresis loop similarity.

AB - Using low-energy electron diffraction (LEED), we show for two classes of systems, which are representative for second- and first-order phase transitions in adsorbed layers, that quantitative properties of phase transitions can be studied also by using integrated diffracted intensities, turning the instrument to low resolution in two-dimensional reciprocal space, k∥. For the continuous order-disorder phase transitions of several atomic adsorption systems, critical properties have been studied by determination of the critical exponents α (of the specific heat) and η, the anomalous critical dimension, in the limit k∥ξ ≫ 1. We performed systematic tests of the conditions under which these exponents can be determined reliably from the diffracted intensity of superstructure beams. In first-order phase transitions, scaling laws characterize specific mechanisms driving the transitions. As an example of two-dimensional first-orderphase transitions, the transitions between a two-dimensional (2D) gas and the 2D solid of the first monolayer have been studied for the noble gases Ar, Kr and Xe on a NaCl(100) surface in quasi-equilibrium with the three-dimensional (3D) gas phase. Using linear temperature ramps, we show that the widths of the hysteresis loops of these transitions as a function of the heating rate, r, scale with a power law ∝rx with x between 0.4 and 0.5 depending on the system. The hysteresis loops for different heating rates are similar. The island area of the condensed layer was found to grow initially with a time dependence ∝t4. These results are in agreement with a model of growth-controlled hysteresis, which predicts x = 0.5 and hysteresis loop similarity.

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T2 - 1999 Workshop on Thin Films and Phase Transitions on Surface

Y2 - 21 February 1999 through 26 February 1999

ER -

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