The profiles of Stokes I and V of Fe I 5247 Angstrom, Cr I 5247 Angstr
om, Fe I 5250.2 Angstrom and Fe I 5250.6 Angstrom have been measured i
n the quiet photosphere with ZIMPOL, a new polarimeter, with very low
noise level. The spatial resolution element of about 1 Mm was essentia
lly determined by seeing. In about 15 % of the observed area, the sign
al-to-noise ratio was sufficiently large to determine the strength of
the magnetic field and to derive various properties of the Stokes V pr
ofiles (asymmetries, zero-crossing shift and thermal line ratio). Our
results show that, at least in this fraction of area, the magnetic fie
ld in the quiet Sun is dominated by strong flux concentrations which m
ust be rather small. The data on the Stokes V properties provide obser
vational constraints for theoretical models of flux concentrations.