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 semiinfinite 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 onedimensional 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 secondneighbors 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 infiniteM 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

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Physics Letters A, Vol. 366, pp. 497502, 2007. 
author 
Phares, Alain J. 
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Phares, Alain J. 
spellingShingle 
Phares, Alain J. High temperature adsorption isotherms on equilateral triangular terraces. 
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Phares, Alain J. 
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Phares, Alain J. 
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Grumbine Jr, David W. Wunderlich, Francis J. 
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Grumbine Jr, David W. Wunderlich, Francis J. 
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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. 
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High temperature adsorption isotherms on equilateral triangular terraces. 
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High temperature adsorption isotherms on equilateral triangular terraces. 
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high temperature adsorption isotherms on equilateral triangular terraces. 
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high temperature adsorption isotherms on equilateral triangular terraces. 
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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 semiinfinite
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 onedimensional 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 secondneighbors 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 infiniteM limit, and at half coverage, the adsorbate occupational configuration exhibits repetitive hexagonal patterns. 
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2007 
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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 semiinfinite
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 onedimensional 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 secondneighbors 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 infiniteM limit, and at half coverage, the adsorbate occupational configuration exhibits repetitive hexagonal patterns. 
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Physics Letters A, Vol. 366, pp. 497502, 2007. 
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