The nanosecond energy transfer kinetics of the (4)G(7/2)+K-2(13/2) mul
tiplet of the Nd3+ ion in the LaF3 laser crystal was investigated. The
energy transfer rates of electronic excitation from donors (excited N
d3+ ions) (D) to different coordination spheres of accepters (A) (unex
cited Nd3+ ions) were determined considering no energy migration. The
predominance of the dipole-quadrupole (dq) mechanism against dipole-di
pole (dd) was found from the analysis of these rates for the donor-acc
eptor distances from 6.05 Angstrom and up to 17 Angstrom. For the dist
ances in the range from 4.1 to 4.4 Angstrom the mechanism of donor-acc
eptor interaction differes from that for the longer donor-acceptor dis
tances. It was shown that a high rate and predominance of the dipole-q
uadrupole interaction is correlated with the larger value of the squar
e of the low rank reduced matrix element U-(2) in comparison with thos
e of the high rank U-(4) and U-(6) for one of the transition involved
in the process of energy transfer. We point out that the dipole-dipole
nonradiative energy transfer from the F-4(3/2) metastable level of Nd
3+ ion is usually realized because of the small values of (U((2)2)) in
comparison with (U((4)2)) and (U((6)2)) for both transitions involved
in the quenching process.