The stress-temperature behavior of unpassivated thin (0.6-1.0 mu m) copper
films on silicon substrates with Si3N4 diffusion barriers was examined betw
een room temperature and 600 degrees C. Stresses were measured using a subs
trate curvature method and simulated using standard strain-rate equations w
hich describe creep deformation. Simulations based on the mechanisms and da
ta for bulk Cu could not reproduce the measured thin film data. Both the va
lues which enter the rate equations and the rate equations themselves were
modified in an attempt to obtain optimum correspondence between experiment
and simulation. The best agreement was found when grain-boundary diffusiona
l creep was neglected. The behavior could be simulated over a wide range us
ing the rate equation for power-law creep with a stress exponent of 7 (dete
rmined from relaxation experiments), a thickness-dependent activation energ
y, and the temperature-dependent dislocation density (determined from X-ray
peak widths). Mechanistic implications and the principal limitations of su
ch a simulation approach are discussed. (C) 1999 Acta Metallurgica Inc. Pub
lished by Elsevier Science Ltd. All rights reserved.