Lyotropic mixtures composed by heavy water and C12E6 (n-dodecylhexaoxyethyl
ene glycol [CH3(CH2)(11)(OCH2CH2-CH2)(6)OH], with different mole ratios, W-
0, have been studied in the presence of high magnetic fields. Depending on
both thermal history and magnetic conditioning, a significant orientation o
f the samples is obtained and the phase boundaries are slightly modified wi
th respect to the originally reported ones. The resulting H-2 spectra show
the presence of two components, one iso-oriented and another one partially
oriented. To quantify the amount of oriented spectral components a full sim
ulation was performed, based on 0th, 2nd, and 4th rank Legendre polynomials
. Experimental investigation is focused on the hexagonal mesophase, but inf
ormation is also given on the lamellar phase. The iso-orientation of sample
s is kept for several months. The presence of a large amount of iso-oriente
d phases is confirmed by optical polarizing microscopy experiments.