Modeling Thermal Stresses in 3-D IC Interwafer Interconnects

We present a finite-element-based analysis to determine if there are potential reliability concerns due to thermally induced stresses in interwafer copper via structures in three-dimensional (3-D) ICs when benzocyclobutene (BCB) is used as the dielectric adhesive to bond wafers. We first partially validate our approach by comparing computed results against two types of experimental data from planar ICs: 1) volume-averaged thermal stresses measured by X-ray diffraction in an array of parallel Cu lines passivated with TEOS and 2) studies of failures induced by thermal cycling via chain structures embedded in SiLK or SiCOH. In the volume-averaged thermal stress study, predicted stress slopes (dsigma/dT) agree well with other modeling results. Our computed stress slopes agree reasonably well with experimental data along the Cu line direction and normal to the Cu lines surface, but we underestimate the stress slope across the Cu line. In the case of via chains, computed von Mises stresses agree with the results of thermal cycle experiments; we predict failure when SiLK is used as a dielectric and predict no failure when SiCOH is used as the dielectric. The approach is then employed to study thermal stresses in interwafer Cu vias in 3-D IC structures bonded with BCB. Simulations show that the von Mises stresses in interwafer Cu vias decrease with decreasing pitch at constant via size, increase with decreasing via size at constant pitch, and decrease with decreasing BCB thickness. We conclude that there is a concern regarding the stability of interwafer Cu vias. Guidelines for design parameter values are estimated, e.g., interwafer via size, pitch, and BCB thickness. For 2.6-mum-thick BCB, computations indicate that via size should be larger than 3 mum at a pitch of 10 mum to avoid plastic yield of Cu vias