The one-dimensional Heisenberg model with alternating antiferromagnetic bon
d and spin-1/2 has been studied by the Monte Carlo method. The thermodynami
c characteristics, spin-spin, and four spin-correlation function have been
calculated. From several maxima of the correlation radius of the four spin-
correlation function and sharp slopes of the dimer order parameter, a longi
tudinal component of the total spin square as a function of temperature and
magnetic field, the existence of two mass singlet excitation branches with
Delta S-z=0 and one triplet with Delta S-z=1 is suggested. Critical temper
atures and fields related to singlet filled bands have been estimated. From
these results low-temperature (T<T-SP) properties of spin-Peierls (SP) com
pounds CuGeO3 and NaV2O5 have been explained.