  The magnetic susceptibilities chi versus temperature T of powders and single
crystals of the ambient-pressure (AP) and high-pressure (HP) phases of
(VO)_{2}P_{2}O_{7} are analyzed using an accurate theoretical prediction of
chi(T, J1, J2) for the spin-1/2 antiferromagnetic alternating-exchange (J1, J2)
Heisenberg chain. The results are consistent with recent models with two
distinct types of alternating-exchange chains in the AP phase and a single type
in the HP phase. The spin gap for each type of chain is derived from the
respective set of two fitted alternating exchange constants and the one-magnon
dispersion relation for each of the two types of chains in the AP phase is
predicted. The influences of interchain coupling on the derived intrachain
exchange constants, spin gaps, and dispersion relations are estimated using a
mean-field approximation for the interchain coupling. The accuracies of the
spin gaps obtained using fits to the low-T chi(T) data by theoretical low-T
approximations are determined. The results of these studies are compared with
previously reported estimates of the exchange couplings and spin gaps in the AP
and HP phases and with the magnon dispersion relations in the AP phase measured
previously using inelastic neutron scattering.
