We present a model for the evolution of the light-nuclide abundances i
n the Galaxy, aimed especially at interpreting the observed beryllium
and boron abundances as a function of that of iron. We present two mod
els, one for the Galactic halo and the other for the Galactic disk. Th
e main characteristics of the halo model are (1) the relatively rapid
change in the physical conditions, on a timescale of less than 2 Gyr,
because of the exponentially increasing flow of gas from the halo to f
orm the Galactic bulge-after this period, less than 30% of the initial
gas remains in the halo, and star formation there is brought to a hal
t, (2) the low inferior mass limit for the initial mass function (m(l)
= 0.01), implying that similar to 60% of the mass that condenses into
massive bodies takes the form of substellar objects (masses less than
or equal to 0.1 M.). With these assumptions, we can explain the abrup
t increase in the observed metallicity distribution of halo stars near
[Fe/H] = -1.7, the evolution of [O/Fe], He-4/H, [N/Fe], and C-12/C-13
versus [Fe/H], and that of [C/O] versus [O/H], and give an account of
[Fe/H] as a function of time, during the halo phase. The main charact
eristics of the disk model are (1) a timescale of order 15 Gyr and (2)
an exponentially increasing infall of gas with very low metallicity.
With these assumptions, we can explain the prominent peak in the obser
ved metallicity distribution of disk stars near [Fe/H] = -0.4, the evo
lution of [O/Fe], He-4/H, [N/Fe], and C-12/C-13 versus [Fe/H], and tha
t of [C/O] versus [O/H] and also give a good fit to observed [Fe/H] as
a function of time. The production of light elements (D, He-3, Li-6,
Li-7, Be-9, B-10, and B-11) occurs principally via Galactic cosmic ray
(GCR) reactions for all nuclides except deuterium and He-3. Differenc
es between the halo and the disk are (1) a flatter GCR energy flux spe
ctrum and (2) more GCR flux at early epochs (halo) than more recently
(disk), as a result of better GCR confinement, both conditions first s
uggested by Prantzos, Casse, & Vstngioni-Flam. A significant contribut
ion of the present paper is to explain the almost linear dependence of
Be-9 on Fe (or on O) at very low metallicities: the observations show
a more nearly linear than quadratic dependence, without requiring the
very high local cosmic-ray fluxes implied by the explanation of Feltz
ing & Gustafsson of spallation close to supernovae. The explanation is
that exponentially increasing outflow of gas from the star-forming zo
ne implies the presence of more star-forming gas at very low metallici
ties ([Fe/H] similar to -3.0). The low inferior mass limit taken here
in the initial mass function implies a reduction in the predicted rela
tive number of high-mass stars formed. These conditions, together with
the increasing yields of carbon for stars of intermediate and low mas
s at low metallicities, while the metallicity indicators O and Fe were
being produced mainly in massive stars, cause the observed Be-9 abund
ance at very low metallicities, which is enhanced compared with the pr
edictions of models in which Be-9, as a secondary element, depends qua
dratically on Fe. The exponentially increasing outflow also explains t
he sharp rise in the abundances of O and Fe and the observed peak in t
he stellar frequency distribution near [Fe/H] similar to -1.7. A featu
re of interest in the disk model, due to the exponentially rising infa
ll of nonenriched gas, is the observed loop-back of the Be-9-Fe curve
at near-solar metallicity; the Be-9 abundance is rising steadily while
that of Fe has fallen back.