We advance the method of frequency inversion revealing a more accurate
seismic sounding of the solar core. We show that with the quoted obse
rvational errors, it is possible to achieve a precision of approximate
ly 10(-3) in the sound speed determination through most of the sun's i
nterior. Only for r < 0.05 R. is the precision approximately 10(-2) Th
e accuracy of the density and pressure determinations is only slightly
worse. Such restrictions impose significant constraints on the micros
copic physical data, i.e., opacities, nuclear-reaction cross sections,
and diffusion coefficients, as well as on the solar age. The heliosei
smic age is consistent with that from meteorites. The currently availa
ble data for low-degree p-mode frequencies exhibit a scatter that is l
arger than the quoted errors, and therefore the actual precision of se
ismic inferences is less than what we report, especially for the solar
core. We invert p-mode data to obtain a solar seismic model. Comparis
on of the solar seismic model with current theoretical models shows a
need for some refinements within the framework of the standard solar m
odel. Only in the innermost part of the core (r < 0.05 R.) do we see a
feature in the seismic sound speed that cannot easily be accounted fo
r by refinements of the model. But the reality of the feature is by no
means certain. We find no evidence supporting an astrophysical soluti
on to the solar neutrino problem.