物理化学学报 >> 1990, Vol. 6 >> Issue (03): 269-271.doi: 10.3866/PKU.WHXB19900304

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微环电极理论

刘小平; 陆君涛; 查全性   

  1. 武汉大学化学系
  • 收稿日期:1989-12-26 修回日期:1990-02-23 发布日期:1990-06-15
  • 通讯作者: 刘小平

Theory of Microring Electrodes

Liu Xiao-Ping; Lu Jun-Tao; Zha Chuan-Sin   

  1. Department of Chemistry, Wuhan University
  • Received:1989-12-26 Revised:1990-02-23 Published:1990-06-15
  • Contact: Liu Xiao-Ping

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Abstract: In this work, expressions for concentration and current in steady-state and tran-sient-state experiments are given for microring electrodes. For the electrode reaction O+ne→R, assuming bulk concentration of R c_R~b=0, under steady-state conditions, we have
G_O=G_R=sum from μ=1 to ∞ α_μ integral from n=0 to ∞ f_μ (α)J_0 (αr/r_2) exp (-αz/r_2) dα
where
f_μ(α)=J_μ(α)/α~μ-sum from r=1 to μ (r_1/r_2)~p[1-(r_1/r_2)~2]~(μ-r)/2~(μ-ν)(μ-ν)! J,(αr_1/r_2)/α~ν
G_O=1 - (C_O/C_O~b), G_R=D_RC_R/(D_OC_O~b)
where c_O~b is the bulk concentration of species O. r_2, r_1 are outer and inner radii respectively. The...