7.1. Comparison with other Observations
The total mass processed by stars is not a directly observable
quantity because some fraction of the processed mass will be hidden in
stellar remnants or recycled back into the ISM. Estimates of
recycling fraction range from 30-50% for various IMF models (see
discussions in
Pagel 1997),
but the cumulative effect of many
generations of star formation and repeated recycling is difficult to
estimate. Firm lower and upper limits for
*
are, however, directly observable: the observed mass in stars and stellar
remnants at z ~ 0 is a lower limit to the total mass which has been
processed through stars, and the total baryon fraction from Big Bang
nucleosynthesis is an upper limit. FHP98 estimate the mass fraction
in stars and stellar remnants at z ~ 0 to be
stars =
0.0025(± 0.001)h-1, corresponding to a mass-to-light
ratio of (M / L)B ~ 5.9(M /
L)
. In
units of
B, this
lower limit is
stars =
0.13(± 0.05)
h
B.
Our estimate of the total mass fraction processed through stars,
*
= 0.33(±
0.07)
B, is
comfortably above this lower limit and is, obviously, less than the
upper limit - the total baryon mass fraction from Big Bang
nucleosynthesis and deuterium measurements.
We can also compare the metal mass fraction predicted by the EBL with
the observed mass fraction in gas, stars, and stellar remnants in the
local universe. Based on recent estimates by FHP99, ~ 80% of
the observed baryons at z ~ 0 are located in the intracluster gas
of groups and clusters, 17% are in stars and stellar remnants, and
only 3% are in neutral atomic and molecular gas. The observed metal
mass fraction in hot intracluster gas has been estimated to be at least
0.33Z
for rich galaxy clusters and 0.25 -
1Z
in
groups based on X-ray observations of Fe features
(Renzini 1997,
Mushotzky & Loewenstein
1997).
More recent estimates from Buote
(1999,
2000)
based on more detailed models of the temperature
distribution of the intracluster gas have found values closer to
1Z
in
several clusters and elliptical galaxies.
For a total cluster and group gas mass density of
gas =
0.011+0.013-0.005 h-1
(FHP98) and assuming a metal mass fraction of 0.65± 0.35
Z
for
clusters and groups of all
masses, the observed metal mass fraction in clusters is
Z, gas =
0.007+0.009-0.005 h-1
Z
.
Repeating this exercise for the stellar component, we assume that the
metallicity of stars at z ~ 0 is roughly
solar (1.0± 0.25
Z
)
and that the mass density in stars is
stars
= 0.0025(± 0.001)h-1. The total metal mass in
stars and stellar remnants locally is then
Z, star =
0.0025(± 0.001)h-1
Z
. The
total metal mass fraction
in the local universe is then
Z =
Z, star +
Z, gas =
0.0095+0.010-0.006 h-1
Z
, or
0.50+0.52-0.32
hZ
B.
This estimate is consistent with the value indicated by the bolometric
EBL, 0.24(± 0.13)
Z
B, as
calculated above.