Dividing Planes of Hexagonal H Mesophase - Self-Assembled Supramolecular Architectures: Lyotropic Liquid Crystals - page 88

220

(a)

200

180

160

Q I G

140

120

P

Q II

100

Q I D

80
0.35 0.4 0.45 0.5

φ w

0.55 0.6

60

(b)

55

50

45

40

35

0 0.05 0.1 0.15 0.2 0.25

φ w

Figure 3.3 Experimental measured dependence of the lattice parameter as a function
of water volume part, ϕ w : (a) Q II phases of 2:1 LA/DLPC measured between 35 and
45°C and (b) H II phase of 2:1 MA/DMPC at 60°C. The continuous lines depict the
performed least squares fi ts for the pivotal planes with (a) Eq. (3.11) and (b) Eq. (3.18).
[Data source: Templer et al. (1998a) .]

AA V A
R

w

2

=−

2

2

(3.23)

w p p

w

So the fi rst task, before using the model, is to confi rm statistically that the used
data of the set (

A 2 , A w / R w ) have linear dependence at some reasonable signifi -
cance level. Then the pivotal volume value can be determined from the slope,