We present a theoretical and experimental study of the efficiency of adiaba
tic transfer between the Zeeman substates of the cesium ground level, using
the D1 F = 4-->4' transition. In order to understand the application of th
e adiabatic condition to such multistate systems, we examine the separation
of their energy eigenstates as a function of the number of participating s
tates. We present a systematic investigation of the physical factors affect
ing the efficiency of transfer in a multistate system and we see that veloc
ity selection plays an important role in these calculations. We use the the
ory to compare the suitability of adiabatic transfer with F = 1-->1' and F
= 4-->4' transitions for atom optics. [S1050-2947(99)06505-1].