Corrosion Modeling In Microelectronic Devices
X. Shan, M. Pecht, and A. Christou
A systematic approach to corrosion modeling in microelectronic devices
is formulated in terms of the fundamental steps of corrosion processes
and the rate determining step. The corrosion modeling starts with the identification
of corrosion sites and corrosion products, followed by the determination
of reaction controlled systems, the anode and cathode. For surface
electrochemical reaction controlled systems, the Butler-Volmer equation
is used to model the corrosion processes. For mass transport limited
systems, the continuity equation and a generalized mass transport equation
with both concentration gradient and potential gradient driving forces
are used. When the concentration variation goes to zero, the combination
of the mass transport equation and the charge conservation equation produces
a corrosion rate equation associated with the Ohm's law. The time
to corrosion failure is calculated by combining the corrosion rate equation
and Faraday's equation.