An experimental investigation is performed to determine the initial- and fi
nal-state alignment effects in the energy-pooling process Ca(4s4p P-3(1)) Ca(4s4p P-3(1))-->Ca(4s4p P-1(1)) + Ca(4s(2)). This paper represents a typ
e of four-vector correlation experiment, where two aligned atoms collide an
d the alignment of the final excited state is observed. The initial Ca(4s4p
P-3(1)) state polarization is controlled with polarized lasers and magneti
c fields, and the final-state alignment is partially resolved by observing
the polarization of the fluorescence from the Ca(4s4p P-1(1))-->Ca(4s(2)) e
mission. The mathematics are developed in this paper to provide a full quan
titative description of the four-vector alignment cross sections observed h
ere. Relative values that describe 18 of the 39 total independent parameter
s are obtained, thus defining the results of this collision process at an u
nprecedented level of detail. The final-state Ca polarization is found to b
e only weakly dependent on the initial-state alignment, with final-state fl
uorescence predominately polarized along the relative velocity vector of th
e collision. [S1050-2947(99)00510-7].