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| - Partial Analytical Solution of a Model Used forMeasuring Oxygen Diffusion Coefficients ofPolymer Films by Luminescence Quenching
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| - Many aspects of optical chemical sensor design wouldbenefit from a better knowledge of the diffusion propertiesof the analyte in the polymer host. The response times ofsuch sensors to a step change of analyte concentrationare of vital interest for many applications of fast-responding sensors. Further, the diffusion properties govern theirquenching behavior and their sensitivity. A method fordetermination of the diffusion constant of oxygen inpolymers has been developed and used by several groupsin the past. The underlying mathematical model forluminescence quenching by molecules of a gas in a singlesensing layer on an impermeable support has not yet beencompletely derived in an analytical form and still usestedious numerical methods. We present a partial analytical solution to the problem of modeling the time dependence of luminescence generated by in- or out-diffusionof a gaseous quencher in a polymer film in which aluminophor is immobilized and offer a suitable methodto predict sensor response times.
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