Thermal Characterization of a Three-Dimensional (3D) Chip Stack

Abstract

In order to determine appropriate cooling solutions for 3D chip stacks in various cases, it is important to have a better understanding of the total thermal resistance of a 3D chip stack. For this purpose, precise thermal resistance measurements and modeling of each component of a 3D chip stack are important. The thermal resistance of interconnection is considered to be one of the thermal resistance bottlenecks of a 3D chip stack. In this study, a steady-state thermal resistance measurement method is employed for the thermal resistance measurement of interconnection. The thermal resistance of the 200 μm pitch C4's (Pb97Sn3) jointed samples are measured and the thermal conductivity of C4's is derived to be 18–24 W/mK. With regard to the thermal resistance of a silicon substrate, the thermal resistance of a silicon substrate with various interconnection pitches and diameters has already been modeled by considering the concentrated heat flow to interconnection, as presented in ICEP 2008.[15] Based on the modeled data, the thermal resistance reduction by underfill with various interconnection pitches and diameters is also studied.