Adsorption of square and rectangular plate-like molecules on a planar surface

Boehm, Richard E.; Martire, Daniel E.

doi:10.1080/02678299208030397

Cited by 5 publications

(7 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A c c e p t e d M a n u s c r i p t 16 not much stronger (possibly weaker) than the molecule-molecule interaction edgewise [31]. This happens because:…”

Section: Iii) Higher Overall Coverage (Multilayer Mesh)mentioning

confidence: 93%

Nucleation and growth of copper phthalocyanine aggregates deposited from solution on planar surfaces

Ghani

Gojżewski

Riegler

2015

Applied Surface Science

View full text Add to dashboard Cite

“…A c c e p t e d M a n u s c r i p t 16 not much stronger (possibly weaker) than the molecule-molecule interaction edgewise [31]. This happens because:…”

Section: Iii) Higher Overall Coverage (Multilayer Mesh)mentioning

confidence: 93%

Nucleation and growth of copper phthalocyanine aggregates deposited from solution on planar surfaces

Ghani

Gojżewski

Riegler

2015

Applied Surface Science

View full text Add to dashboard Cite

“…Since we are confident that we know the statistics for adding the rods into a field containing one square, we can use this result for the statistics of placing one square after all the rods are placed. We obtain

Boehm and Martire [ 3 ] would use the same first three terms, but instead of our last term they would have

…”

Section: Theorymentioning

confidence: 99%

“…The discotic phase also consists of plate-like or disk-like molecules [ 2 ]. Boehm and Martire have modeled the adsorption of square plate-like molecules onto a plane surface as a mixture of plates (corresponding to molecules adsorbed face-on), rods (corresponding to edge on adsorption), and solvent on a two-dimensional lattice [ 3 ]. These three examples each require that we understand how plate-like molecules pack together in both two and three dimensions.…”

Section: Introductionmentioning

confidence: 99%

“…Shih and Alben [ 9 ], Herzfeld [ 10 ], and Boehm and Martire [ 3 ] have extended the statistics to plate-like objects (Shih and Alben), to arbitrary rectangular parallelepipeds (Herzfeld), and to mixtures of squares and rods on a two-dimensional lattice (Boehm and Martire). Boehm and Martire have observed that the end result for the configurational entropy of a mixture of rods and squares depends on whether the rods or squares are placed first onto the lattice in the FH counting proceedure.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mixing Plate-Like and Rod-Like Molecules With Solvent - A Test of Flory-Huggins Lattice Statistics

DiMarzio

Yang

Glotzer

1995

J. Res. Natl. Inst. Stand. Technol.

View full text Add to dashboard Cite

Boehm and Martire have shown that the Flory-Huggins (FH) lattice model applied to mixtures of squares and rigid rods in solvent on a two dimensional lattice gives different results depending on whether rods or squares are placed first onto the lattice. This correct derivation places the validity of the FH model itself into question since the final result should be independent of the order of placement. An analysis of the FH model in terms of Poisson statistics suggests an alternative formula for the probability of successfully placing a rectangle into an area partially filled with other rectangles, which when incorporated into the FH counting procedure gives the exact thermodynamic result for the tiling of squares (i.e., no solvent and no rods). An attempt to solve the order of placement problem is made by solving the problem of one square plus any number of rods and then generalizing the statistics so that they are consistent with this result. Equations are given for squares plus rods plus solvent in both two and three dimensions. For plates plus solvent in three dimensions a purely entropy driven phase transition between an anisotropic layered phase and an isotropic phase is obtained. This transition is analogous to the isotropic to nematic liquid crystal phase transition in rigid rods. Our equations, when augmented by energy considerations, are useful for calculating the equilibrium properties of discotic systems, polymer-layered silicate composites, and the adsorption of plate like molecules onto surfaces.

show abstract

“…16 A subsequent model by Herzfeld 17 allowed for a heterogeneous distribution of particle sizes. Mixtures of rods and plates have also been considered in two dimensions by Boehm and Martire 18 and in two and three dimensions by Di Marzio et al 19 and by Sokolova and Vlasov 20 for three-dimensional particles with continuous translations but discrete orientations. In another approach based on the Onsager theory by Lyatskaya and Balazs, 21 the plates are treated as ellipsoids.…”

Section: Introductionmentioning

confidence: 99%

Excluded volume theory of rigid plates in solution using continuous orientation distributions

Guenthner

Kyu

2000

J. Polym. Sci. B Polym. Phys.

View full text Add to dashboard Cite

Adsorption of square and rectangular plate-like molecules on a planar surface

Cited by 5 publications

References 9 publications

Nucleation and growth of copper phthalocyanine aggregates deposited from solution on planar surfaces

Nucleation and growth of copper phthalocyanine aggregates deposited from solution on planar surfaces

Mixing Plate-Like and Rod-Like Molecules With Solvent - A Test of Flory-Huggins Lattice Statistics

Excluded volume theory of rigid plates in solution using continuous orientation distributions

Contact Info

Product

Resources

About