Recent experiments on the onset of convection near the liquid-vapor critica
l point of He-3 have shown the crossover from the Rayleigh criterion to the
Schwarzschild criterion for the threshold of convection as the critical po
int is approached. In contrast we show that for He-3-He-4 mixtures near the
liquid-vapor critical point (plait point), the Rayleigh criterion would ho
ld right through. Interestingly enough, this is a consequence of the proper
boundary conditions. This prediction should be easy to rest experimentally
.