High temperature adsorption isotherms on equilateral triangular terraces.

Within the context of a lattice–gas model, the adsorption isotherms on infinitely long equilateral triangular terraces are obtained at high temperature using a recently developed transfer matrix method. The computations, using long double precision arithmetic, are conducted for semi-infinite terraces with two different orientations, an increasing number M of atomic sites in their width, and without a periodic boundary. Our general formulation recovers the known results of the statistical average of the coverage and the entropy per site divided by Boltzmann’s constant, which is independent ofM and given by the one-dimensional solution (M = 1).We report as new results the values of θ(M, θ0) and β(M,θ0), which are the statistical averages of the numbers of first- and second-neighbors per site, respectively, as functions of the width M and the coverage θ0. These functions, when scaled according to their maximum values obtained at full coverage, both reduce to θ2 0 for all M. With this new information, we show that in the infinite-M limit, and at half coverage, the adsorbate occupational configuration exhibits repetitive hexagonal patterns.

Main Author: Phares, Alain J.
Other Authors: Grumbine Jr, David W., Wunderlich, Francis J.
Language: English
Published: 2007
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178529
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dc_source_str_mv Physics Letters A, Vol. 366, pp. 497-502, 2007.
author Phares, Alain J.
author_s Phares, Alain J.
spellingShingle Phares, Alain J.
High temperature adsorption isotherms on equilateral triangular terraces.
author-letter Phares, Alain J.
author_sort_str Phares, Alain J.
author2 Grumbine Jr, David W.
Wunderlich, Francis J.
author2Str Grumbine Jr, David W.
Wunderlich, Francis J.
dc_title_str High temperature adsorption isotherms on equilateral triangular terraces.
title High temperature adsorption isotherms on equilateral triangular terraces.
title_short High temperature adsorption isotherms on equilateral triangular terraces.
title_full High temperature adsorption isotherms on equilateral triangular terraces.
title_fullStr High temperature adsorption isotherms on equilateral triangular terraces.
title_full_unstemmed High temperature adsorption isotherms on equilateral triangular terraces.
collection_title_sort_str high temperature adsorption isotherms on equilateral triangular terraces.
title_sort high temperature adsorption isotherms on equilateral triangular terraces.
description Within the context of a lattice–gas model, the adsorption isotherms on infinitely long equilateral triangular terraces are obtained at high temperature using a recently developed transfer matrix method. The computations, using long double precision arithmetic, are conducted for semi-infinite terraces with two different orientations, an increasing number M of atomic sites in their width, and without a periodic boundary. Our general formulation recovers the known results of the statistical average of the coverage and the entropy per site divided by Boltzmann’s constant, which is independent ofM and given by the one-dimensional solution (M = 1).We report as new results the values of θ(M, θ0) and β(M,θ0), which are the statistical averages of the numbers of first- and second-neighbors per site, respectively, as functions of the width M and the coverage θ0. These functions, when scaled according to their maximum values obtained at full coverage, both reduce to θ2 0 for all M. With this new information, we show that in the infinite-M limit, and at half coverage, the adsorbate occupational configuration exhibits repetitive hexagonal patterns.
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fgs.label High temperature adsorption isotherms on equilateral triangular terraces.
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dc.title High temperature adsorption isotherms on equilateral triangular terraces.
dc.creator Phares, Alain J.
Grumbine Jr, David W.
Wunderlich, Francis J.
dc.description Within the context of a lattice–gas model, the adsorption isotherms on infinitely long equilateral triangular terraces are obtained at high temperature using a recently developed transfer matrix method. The computations, using long double precision arithmetic, are conducted for semi-infinite terraces with two different orientations, an increasing number M of atomic sites in their width, and without a periodic boundary. Our general formulation recovers the known results of the statistical average of the coverage and the entropy per site divided by Boltzmann’s constant, which is independent ofM and given by the one-dimensional solution (M = 1).We report as new results the values of θ(M, θ0) and β(M,θ0), which are the statistical averages of the numbers of first- and second-neighbors per site, respectively, as functions of the width M and the coverage θ0. These functions, when scaled according to their maximum values obtained at full coverage, both reduce to θ2 0 for all M. With this new information, we show that in the infinite-M limit, and at half coverage, the adsorbate occupational configuration exhibits repetitive hexagonal patterns.
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