The fine-structure spacing d(l)(n) = n(l,n) - n(1+2,n-1) for low-degre
e solar p modes of angular degree l and radial order n is sensitive to
conditions in the deep radiative interior of the Sun. Here we present
fine-structure spacings derived from the analysis of nearly 5 years o
f helioseismological data collected between 1991 July and 1996 Februar
y by the Birmingham Solar Oscillations Network (BiSON). These data cov
er 9 less than or equal to n less than or equal to 28 for d(0)(n), and
11 less than or equal to n less than or equal to 27 for d(1)(n). The
measured spacings are much more precise and cover a greater range than
earlier measurements from BiSON data (Elsworth et al. 1990a). The pre
dicted fine-structure spacings for a ''standard'' solar model are clea
rly excluded by the BiSON data (at approximate to 10 sigma); models th
at include helium and heavy-element settling provide a much better mat
ch to the observed spacings (see also Elsworth et al. 1995). Since the
inclusion of core settling in solar models will tend to increase slig
htly the predicted neutrino flux, the BiSON fine-structure data appear
to reinforce previous conclusions, i.e., an astrophysical solution to
the solar neutrino problem seems unlikely.