1959
DOI: 10.1021/j150575a017
|View full text |Cite
|
Sign up to set email alerts
|

Theory of Permeation through Metal Coated Polymer Films

Abstract: It is shown theoretically that if a metal coat on a polymer film contains n circular holes per cm.2, of radius ro, the ermeation flux per cm.2 is given approximately by F = D [ ( a -b)/s]O[l + 1.18s/ro) when 0 < 0 Q 1, where D is the fiffusion coefficient, assumed independent of concentration; ( a -b) is the concentration drop across the film of thickness a and O = Tro% is the fraction of free surface. This theoretical result was confirmed experimentally using an electrical analog, in which the electrical curr… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
35
0

Year Published

1999
1999
2018
2018

Publication Types

Select...
5
4

Relationship

0
9

Authors

Journals

citations
Cited by 62 publications
(35 citation statements)
references
References 2 publications
0
35
0
Order By: Relevance
“…The metallizations are considered not to be layers within the meaning of this equation. This approach has already been explained by Langowski [8]; it does call for a permeance homogenized across virgin film + metallization which can be accounted by the models of defects [8][9][10] of the metallic deposit, by otherwise coherent and impermeable.…”
Section: ∂X ∂Zmentioning
confidence: 99%
“…The metallizations are considered not to be layers within the meaning of this equation. This approach has already been explained by Langowski [8]; it does call for a permeance homogenized across virgin film + metallization which can be accounted by the models of defects [8][9][10] of the metallic deposit, by otherwise coherent and impermeable.…”
Section: ∂X ∂Zmentioning
confidence: 99%
“…5 Simply stated, this approach assumes that water or gas molecules can traverse within an inorganic layer only through existing defects or pinholes. Thus, for the purposes of this analysis, this layer is taken to be infinitesimally thin and is characterized by a nominal defect (pinhole) size, L h , and an average pinhole density N d (% pinholes/unit area), which is directly related to the average distance between pinholes, L d .…”
Section: Diffusion Modelmentioning
confidence: 99%
“…Moreover, contamination during the evaporation by other gases or dust, anti-block particles in the substrate, as well as mechanical tensions between the substrate and the inorganic coating play an important role. All these factors may lead to cracks or pores in the coating and thus increase the gas transmission of the polymer and coating (Q poly+coat ) [44,45]. In relation to the pore size, different mechanisms for permeation are presented in [46].…”
Section: Permeation Through Organic Substrates and Inorganic Coatingsmentioning
confidence: 99%
“…Trying to describe the permeation through these defects, various models were developed. The first models were created by Prins and Hermans [44], based on which further ideas were presented by e.g., [49][50][51][52][53]. For technically relevant substrate thicknesses and defect sizes, the models can be rewritten approximately as in Equation (6).…”
Section: Permeation Through Organic Substrates and Inorganic Coatingsmentioning
confidence: 99%