Nucleation in insoluble monolayers. 1. Nucleation and growth model for relaxation of metastable monolayers

Vollhardt, D.; Retter, U.

doi:10.1021/j100162a052

Cited by 111 publications

(150 citation statements)

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“…The resulting equations are similar to those reported previously for specific forms of collapse 6,7,24 but are derived in a manner that easily allows the consideration of general cases.…”

Section: Kinetics Of Collapse Resulting From Nucleation and Growthsupporting

confidence: 65%

“…Collapse here was assumed to start with the formation of nuclei, an energy-activated process that results from statistical fluctuations in the monolayer 6,7,[25][26][27] and that could occur at defects, where the activation energy is lower. When nucleation is homogeneous, such that the probability of forming a nucleus is the same for all elements of the monolayer, or defects that lead to nucleation are randomly distributed over the interface, the number of nuclei formed at each instant is proportional to A m and is expressed as IA m , where I is the nucleation rate per unit area.…”

Section: Kinetics Of Collapse Resulting From Nucleation and Growthmentioning

confidence: 99%

“…At a later time (t), the structures occupy a volume (υ τ ) that is a function of (t -τ). The number of nuclei created between times τ and τ + dτ is then IA m dτ, and the increase in V c that results from those nuclei at time t is (4) After integration, a combination of eqs 2 and 4 yields the area occupied by the monolayer at time t, (5) Combination of eqs 1, 3, and 5 yields (6) The shape function s assumes a simple form for the system considered here. The disks created by the collapse of30%dchol-DPPCare uniform in thickness.…”

Section: Kinetics Of Collapse Resulting From Nucleation and Growthmentioning

confidence: 99%

“…Combination of those equations therefore considers the slowing rates of collapse that occur at the end of any transformation. 6,8,28 The kinetics of phase transitions in 3D materials are commonly expressed in terms of the equation (9) where ζ is the fraction of material transformed to the new phase, k n is a constant, and n is a real number. Different mechanisms for the transformation are reflected in variations of n.…”

Section: Kinetics Of Collapse Resulting From Nucleation and Growthmentioning

confidence: 99%

“…Previous models 6,7 have considered transfer that occurs all along an interface of length l, and the flux, φ = ṅ/l, was assumed to be constant.…”

Section: Rates Of Growth For the Transfer Of Molecules Through A Singmentioning

confidence: 99%

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Kinetics for the Collapse of Trilayer Liquid-Crystalline Disks from a Monolayer at an Air−Water Interface

2005

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Unlike surfactants considered in previous studies, when phosphatidylcholine (PC) monolayers collapse at constant surface tension to form a 3D bulk phase, surface area decreases at rates that slow. The different kinetics could result from collapse by a distinct mechanism. Rather than the transfer of molecules all along the interface between the monolayer and bulk phase, PC films can collapse by the folding and subsequent sliding of a bilayer over the monolayer. By this mechanism, molecules can transfer to collapsed trilayers through a locus of constant size. In this article, we use the theory of nucleation and growth to show analytically that during collapse, the area can decrease at rates that decelerate when each individual structure grows through a region of fixed dimensions. We also show that binary films of 30% dihydrocholesterol (dchol) and dipalmitoyl phosphatidylcholine (DPPC), which have previously been shown to form a homogeneous monolayer from which trilayer disks grow through a point, collapse with rates of area decay that slow, in agreement with our analytical expressions.

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“…The resulting equations are similar to those reported previously for specific forms of collapse 6,7,24 but are derived in a manner that easily allows the consideration of general cases.…”

Section: Kinetics Of Collapse Resulting From Nucleation and Growthsupporting

confidence: 65%

Section: Kinetics Of Collapse Resulting From Nucleation and Growthmentioning

confidence: 99%

Section: Kinetics Of Collapse Resulting From Nucleation and Growthmentioning

confidence: 99%

Section: Kinetics Of Collapse Resulting From Nucleation and Growthmentioning

confidence: 99%

“…Previous models 6,7 have considered transfer that occurs all along an interface of length l, and the flux, φ = ṅ/l, was assumed to be constant.…”

Section: Rates Of Growth For the Transfer Of Molecules Through A Singmentioning

confidence: 99%

See 3 more Smart Citations

Kinetics for the Collapse of Trilayer Liquid-Crystalline Disks from a Monolayer at an Air−Water Interface

2005

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Relaxation phenomena of stereoregular poly(methyl methacrylate) monolayers at the air/water interface

Lee

Hsu

2007

J of Applied Polymer Sci

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Relaxation behaviors of isotactic, atactic, and syndiotactic poly(methyl methacrylate) (PMMA) monolayers at the air/water interface were investigated at three different temperatures. The monolayer characteristics of the three stereoisomers were studied in terms of surface pressurearea per molecule (p-A) isotherm, area relaxation, and pressure relaxation. The results show that pressures at inflection points of p-A isotherms of PMMA decrease with an increase in temperature. The collapse pressure also decreases as the temperature is elevated. It was shown likely for the first time that the relaxation process of PMMA stereoisomers could be described by a model considering the nucleation and growth mechanisms. The simulation parameters of area relaxation of the three stereoisomers at 30 mN/m are very similar, indicating similar mechanisms.

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Characteristics and iso‐baric relaxation phenomenon of pmma monolayers with different molecular weights at different temperatures

Jheng

Hsu

2010

J of Applied Polymer Sci

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Poly(methyl methacrylate) (PMMA) monolayers with different molecular weights at the air/water interface were investigated at three different temperatures. The monolayer characteristics of PMMA were studied in terms of surface pressure-area per molecule (p-A) isotherm and isobaric relaxation experiments. The results show that the p-A isotherms of PMMA converge at 40 C regardless of molecular weight. The collapse pressure of PMMA monolayers decreases as the temperature is elevated. It was shown the area relaxation process of PMMA could be described by a model considering the nucleation and growth mechanisms. The simulation parameters of area relaxation of PMMA with different molecular weights at 8 mN/m are very similar, indicating similar mechanisms.

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Nucleation in insoluble monolayers. 1. Nucleation and growth model for relaxation of metastable monolayers

Cited by 111 publications

References 0 publications

Kinetics for the Collapse of Trilayer Liquid-Crystalline Disks from a Monolayer at an Air−Water Interface

Kinetics for the Collapse of Trilayer Liquid-Crystalline Disks from a Monolayer at an Air−Water Interface

Relaxation phenomena of stereoregular poly(methyl methacrylate) monolayers at the air/water interface

Characteristics and iso‐baric relaxation phenomenon of pmma monolayers with different molecular weights at different temperatures

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