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An Analytical Model of Reactive Diffusion for Transient Electronics
Author(s) -
Li Rui,
Cheng Huanyu,
Su Yewang,
Hwang SukWon,
Yin Lan,
Tao Hu,
Brenckle Mark A.,
Kim DaeHyeong,
Omenetto Fiorenzo G.,
Rogers John A.,
Huang Yonggang
Publication year - 2013
Publication title -
advanced functional materials
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.069
H-Index - 322
eISSN - 1616-3028
pISSN - 1616-301X
DOI - 10.1002/adfm.201203088
Subject(s) - dissolution , materials science , transient (computer programming) , electronics , diffusion , fick's laws of diffusion , characterization (materials science) , nanotechnology , chemical engineering , thermodynamics , chemistry , computer science , physics , engineering , operating system
Transient electronics is a class of technology that involves components which physically disappear, in whole or in part, at prescribed rates and at programmed times. Enabled devices include medical monitors that fully resorb when implanted into the human body (“bio‐resorbable”) to avoid long‐term adverse effects, or environmental monitors that dissolve when exposed to water (“eco‐resorbable”) to eliminate the need for collection and recovery. Analytical models for dissolution of the constituent materials represent important design tools for transient electronic systems that are configured to disappear in water or biofluids. Here, solutions for reactive‐diffusion are presented in single‐ and double‐layered structures, in which the remaining thicknesses and electrical resistances are obtained analytically. The dissolution time and rate are defined in terms of the reaction constants and diffusivities of the materials, the thicknesses of the layer, and other properties of materials and solution. These models agree well with the experiments for single layers of Mg and SiO 2 , and double layers of Mg/MgO. The underlying physical constants extracted from analysis fall within a broad range previously reported in other studies; these constants can be extremely sensitive to the morphologies of the materials, temperature, and the PH value, concentration, and properties of the surrounding liquid.