We have studied concentrated equimolar mixtures of tetradecanoic acid (myristic acid, C
13COOH) andhexadecyltrimethylammonium hydroxide (CTAOH) in which the OH
- counterions are gradually exchanged by otheranions (Cl
-, Br
-, CH
3COO
-, CH
3-(C
6H
4)-SO
3-). We demonstrate that the stability of a L
phase can be achievedat equimolarity between both surfactants, provided that the phase contains also a sufficient number of anions exchangedwith OH
-. In the absence of exchange (equimolar mixture of C
13COOH and CTAOH), a three-dimensional crystallineL
c phase is produced. As the OH
- ions are replaced by other ions, a swollen L
lamellar phase appears, first incoexistence with the L
c (
D* = 400 Å) and then in coexistence with a dilute phase only (
D* = 215 Å). In the latterregime, the repeating distance depends very little on the exchange ratio, but rather on the nature of the counterion.If too many OH
- ions are exchanged, the L
phase becomes unstable again. A Poisson-Boltzmann model with chargeregulation computed for a closed system predicts qualitatively the existence of this narrow domain of stability forthe L
phase.