We study Raman scattering from 1D antiferromagnets within the Fleury-L
oudon scheme by applying a finite temperature Lanczos method to a 1D s
pin-half Heisenberg model with nearest-neighbor (J(1)) and second-neig
hbor (J(2)) interactions. The low-temperature spectra are analyzed in
terms of the known elementary excitations of the system for J(2) = 0 a
nd J(2) = 1/2. We find that the low-T Raman spectra are very broad for
\J(2)/J(1)\ less than or equal to 0.3. This broad peak gradually dimi
nishes and shifts with temperature, so that at T > J(1) the spectra ar
e narrower and peaked at low frequencies. The experimental spectra for
CuGeO3 are discussed in light of our calculations.