An analytical model of reactive diffusion for transient electronics

Rui Li, Huanyu Cheng, Yewang Su, Suk-Won Hwang, Lan Yin, Hu Tao, Mark A. Brenckle, Dae Hyeong Kim, Fiorenzo G. Omenetto, John A. Rogers, Yonggang Huang

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3106-3114
Number of pages9
JournalAdvanced Functional Materials
Volume23
Issue number24
DOIs
Publication statusPublished - 2013 Jun 25
Externally publishedYes

Fingerprint

Analytical models
Electronic equipment
monitors
dissolving
electronics
long term effects
Dissolution
human body
electrical resistance
water
Acoustic impedance
diffusivity
Water
recovery
Rate constants
liquids
Recovery
Liquids
temperature
Experiments

Keywords

  • analytical model
  • reactive diffusion
  • transient electronics

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics

Cite this

An analytical model of reactive diffusion for transient electronics. / Li, Rui; Cheng, Huanyu; Su, Yewang; Hwang, Suk-Won; Yin, Lan; Tao, Hu; Brenckle, Mark A.; Kim, Dae Hyeong; Omenetto, Fiorenzo G.; Rogers, John A.; Huang, Yonggang.

In: Advanced Functional Materials, Vol. 23, No. 24, 25.06.2013, p. 3106-3114.

Research output: Contribution to journalArticle

Li, R, Cheng, H, Su, Y, Hwang, S-W, Yin, L, Tao, H, Brenckle, MA, Kim, DH, Omenetto, FG, Rogers, JA & Huang, Y 2013, 'An analytical model of reactive diffusion for transient electronics', Advanced Functional Materials, vol. 23, no. 24, pp. 3106-3114. https://doi.org/10.1002/adfm.201203088
Li, Rui ; Cheng, Huanyu ; Su, Yewang ; Hwang, Suk-Won ; Yin, Lan ; Tao, Hu ; Brenckle, Mark A. ; Kim, Dae Hyeong ; Omenetto, Fiorenzo G. ; Rogers, John A. ; Huang, Yonggang. / An analytical model of reactive diffusion for transient electronics. In: Advanced Functional Materials. 2013 ; Vol. 23, No. 24. pp. 3106-3114.
@article{04bfcace33d348c9b54837382b8f170a,
title = "An analytical model of reactive diffusion for transient electronics",
abstract = "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.",
keywords = "analytical model, reactive diffusion, transient electronics",
author = "Rui Li and Huanyu Cheng and Yewang Su and Suk-Won Hwang and Lan Yin and Hu Tao and Brenckle, {Mark A.} and Kim, {Dae Hyeong} and Omenetto, {Fiorenzo G.} and Rogers, {John A.} and Yonggang Huang",
year = "2013",
month = "6",
day = "25",
doi = "10.1002/adfm.201203088",
language = "English",
volume = "23",
pages = "3106--3114",
journal = "Advanced Functional Materials",
issn = "1616-301X",
publisher = "Wiley-VCH Verlag",
number = "24",

}

TY - JOUR

T1 - An analytical model of reactive diffusion for transient electronics

AU - Li, Rui

AU - Cheng, Huanyu

AU - Su, Yewang

AU - Hwang, Suk-Won

AU - Yin, Lan

AU - Tao, Hu

AU - Brenckle, Mark A.

AU - Kim, Dae Hyeong

AU - Omenetto, Fiorenzo G.

AU - Rogers, John A.

AU - Huang, Yonggang

PY - 2013/6/25

Y1 - 2013/6/25

N2 - 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.

AB - 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.

KW - analytical model

KW - reactive diffusion

KW - transient electronics

UR - http://www.scopus.com/inward/record.url?scp=84879207062&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879207062&partnerID=8YFLogxK

U2 - 10.1002/adfm.201203088

DO - 10.1002/adfm.201203088

M3 - Article

AN - SCOPUS:84879207062

VL - 23

SP - 3106

EP - 3114

JO - Advanced Functional Materials

JF - Advanced Functional Materials

SN - 1616-301X

IS - 24

ER -