obvious phase transitions. In this experiment, several typical
states of the monolayer were chosen and deÐned as IÈVII (Fig.
1). From I to VI, the values of n and A were accordingly 0.0,
100.0; 20.3, 60.0; 24, 35.0; 26.8; 20.0; 29.0, 17.0; and 41.5 mN
m~1, 10.0 Ó2. VII represents the collapsed monolayer.
is a typical surface active agent that can interact with copper
ions, which results in an increased concentration of the solute
in proximity to the monolayer. Therefore, nucleation of
CuSO É 5H O under the monolayer becomes much easier.28
However, the disordered structure of the monolayer in this
state leads to a poor ability to control oriented crystallization.
According to the statistics of nine independent experiments,
the proportion of ladder-shaped crystals at the interface was
low (6%). The crystallization of the other crystals was still
uncontrolled; they were attached to the monolayer by the
habit faces, (100), (110) and (110), in the proportions 36, 40
and 18%, respectively.
With an area per molecule of the monolayer of 35 Ó2, in
state III, the monolayer was in the liquid phase. The result
was similar to that of state II and the probability of crys-
tallization at the monolayer/water interface increased further.
The proportion of ladder-shaped crystals formed here was
14%, higher than that in state II, which indicated that the
ability of this state to control oriented crystal growth was
greater. This was on account of the monolayer in state III
being more organized. However, as with state II, the mono-
layer in state III also had an undeÐned lattice structure in this
liquid state, so its inÑuence on the oriented crystallization was
limited.
In state IV, the monolayer remained in the liquid phase. All
the crystallization occurred at the monolayer/water interface
and the monolayerÏs ability to induce oriented crystal growth
increased signiÐcantly: ladder-shaped crystals accounted for
ca. 60% of those that formed.
Interestingly, the perfect result was obtained in state V with
a surface pressure of 29.0 mN m~1 and A \ 17.0 Ó2. Under
these conditions, the monolayer could be considered to be in
the transition from the liquid to the solid phase, which is
much more organized than the former, and the monolayer
began to have a deÐned lattice structure. The crystallization
under such a monolayer was di†erent from the cases listed
above. Not only were all the crystals formed under the mono-
layer, but also the proportion of the ladder-shaped crystal
with M010N faces reached about 82%. Meanwhile, the other
15% were the plate-shaped ones whose induced face under the
monolayer was M110N. The crystals with (100) or (110) faces
attached to the monolayer were few.
4
2
When the surface pressure of the monolayer was 0 mN
m~1, it was in the gas phase and therefore not organized at
all. As was expected, the crystallization of CuSO É 5H O in
4
2
the supercooled solution was uncontrolled. Nucleation
occurred both at the air/water interface (minority) and at the
bottom of the containers (majority). These crystals were ran-
domly aggregated and had a heterogeneous size distribution.
The so-formed single crystals of CuSO É 5H O were plate-
4
2
shaped with three main crystal faces: (110), (110) and (001)
[Fig. 3(a)].
In state II, the surface pressure was 20.3 mN m~1 and the
area per molecule A
was 60.0 Ó2. This state could be seen
20.3
as the transition from gas to the liquid phase. Under this con-
dition, crystallization was di†erent from that of state I. The
nucleation of CuSO É 5H O occurred more easily under the
4
2
monolayer and the probability of the crystals forming at
the bottom decreased noticeably. At the monolayer/water
interface, although most of the crystallization was not orient-
ed, a new crystal morphology appeared under the monolayer.
It was ladder-shaped and had a special crystal face (010) [Fig.
3(b)]. This face did not belong to the habit faces of the
CuSO É 5H O crystals which grew from normal aqueous
4
2
solution and it was attached to the monolayer plane during
the whole process of nucleation and growth. Clearly, the
appearance of the ladder-shaped crystal with (010) faces was a
result of the presence of the HQA monolayer on the super-
saturated solution.
The above phenomenon can be explained by the formula,
G \ 16G 3/(3G 2),28 where G is the activation energy for
N
I
B
N
nucleation, G is the energy required to form the new interface
I
as a new phase (crystal) grows from the substable phase
(solution), G is the energy released in the formation of bonds
B
in the bulk of the aggregate and it is a function of the super-
saturation ratio S. It is well known that the surface energy is
decreased when the monolayer forms. The monolayer itself
can also be considered as a di†erent phase formed on the
surface of solution and can provide suitable sites for heter-
ogeneous nucleation, so that the value of G is lowered. HQA
However, further compression weakened the monolayerÏs
ability to control oriented crystallization. When the mono-
I
layer was in the condensed states (VI) with A
\ 10.0 Ó2,
50.0
only 13% of all the induced crystal faces under the monolayer
were (010) while (110) faces increased to 35% and the rest were
(100) and (110) faces. This suggests that although the molecu-
lar organization of the HQA monolayer was more ordered
than that of state V, its ability to control oriented crys-
tallization was reduced.
With increasing n, state VII, the collapsed monolayer, was
reached. Although all the crystallization happened at the air/
water interface, it was disordered and uncontrolled and no
ladder-shaped crystals appeared.
All the above results are summarized in Fig. 4. In the
experiment, four induced crystal faces of CuSO É 5H O, (100),
4
2
(110), (110) and (010), were investigated under an HQA mono-
layer. Except for the (010) faces, all of these are habit faces of
CuSO É 5H O and none of them could have been the relative
4
2
majority of the faces induced by the monolayer; therefore,
they are ascribed to uncontrolled crystallization. Hence, we
can consider the amount of (010) face as a measure of the
oriented crystallization under an HQA monolayer.
As we have stated above and indicated in Fig. 4, state V
shows the most oriented crystallization. Using A, in state V, of
17.0 Ó2 and the (010) faceÏs lattice area, 34.76 Ó2, the result
can be explained. As every two amphiphiles are coordinated
to a copper ion, the lattice area of copper ions under the
monolayer is 17.0 ] 2 \ 34.0 Ó2. This value is in agreement
Fig. 3 Two typical morphologies of CuSO É 5H O single crystals
4
2
obtained in the experiment: (a) is the standard morphology of the
crystals grown in the normal solution without the monolayer and, in
the experiments, some of the crystals formed under monolayer are as
same as (a); (b) is distinct from the former and a new crystal face (010)
appears on its surface, which is attached to the monolayer plane
during the growth. Morphology (b) can only form under the mono-
layer, especially under the organized monolayer whose lattice struc-
ture Ðts the (010) crystals face of CuSO É 5H O well.
4
2
J. Chem. Soc., Faraday T rans., 1997, V ol. 93
3373