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Modeling Superconformal Electrodeposition Using an Open Source PDE Solver
Published
Author(s)
Daniel Wheeler, Jonathan E. Guyer
Abstract
Superconformal electrodeposition enables the void-free filling of high aspect ratio features such as trenches or vias in the Damascene metallization process. Superconformal electrodeposition, also known as superfill, occurs when particular combinations of chemical additives are included in an electrolyte. The additives enable preferential metal deposition at the bottom surface of the feature, which leads to bottom up filling before the side walls close off, avoiding the formation of voids or seams in the feature. In order to predict and characterize this behavior, governing equations must be derived and solved. In general, this requires the numerical solution of a coupled set of partial differential equations (PDEs) for a full description. FiPy is an open source, PDE solver that has been used to numerically solve the superfill problem. It is written in Python and based on a standard finite volume approach. FiPy includes numerical algorithms that track moving and deforming interfaces, such as an electrode-electrolyte interface, that commonly occurs in materials science problems.The chapter will begin with a broad introduction to gap-fill modeling with particular emphasis on the superfill process. Next, thegoverning equations will be introduced followed by the numerical aspects of interface tracking for the superfill problem. Finally, adescription of how to use FiPy for solving the superfill problem will be given with an example.
Citation
Modeling Superconformal Electrodeposition Using an Open Source PDE Solver
Publisher Info
Book Chapter Chapter in the book entitled Cu Interconnects for ULSI Technology,
Pub Type
Books
Keywords
electrodeposition, level set, open source, superfill
Citation
Wheeler, D.
and Guyer, J.
(2008),
Modeling Superconformal Electrodeposition Using an Open Source PDE Solver, Book Chapter Chapter in the book entitled Cu Interconnects for ULSI Technology,
(Accessed August 14, 2024)