Macromolecules, Vol. 39, No. 22, 2006
Communications to the Editor 7469
below Ts,18, between Ts,18 and Ts,22, and above Ts,22. The spectra
below Ts,18 are dominated by a CH3 symmetric stretch at 2880
cm-1 and a CH3 Fermi resonance at 2940 cm-1. The absence
or weak contribution of the CH3 asymmetric peak at 2955-65
cm-1 indicates that the molecules are oriented with the C-C-C
axis parallel to the surface normal.12 To obtain quantitative
information, we have fitted the spectra with the following
Lorentzian equation:1
side chains within the melt. Above Ts, when the C18 and C22
chains are miscible in the bulk and on the surface, we can equate
the chemical potential of C22 (and C18) in the bulk to that on
the surface. The surface tension of the blend above Ts is given
by the following equation (the details are provided as Supporting
Information):
kT
an1
1
γ )
ln
(2)
-γ22
18an1/kT
φbe an /kT + (1 - φb)e-γ
1
[
]
2
Aq
I(SFG)
øeff,NR
+
(1)
∑
|
|
where an1 is the surface area occupied by C22 side chains/
molecule (a ∼ 20.4 Å2) and γ22 (or γ18) is the surface tension
of pure C22 (or C18). A value of n1 ≈ 5 gives a good fit to the
data shown as an inset in Figure 2. We also predict that there
is a small preference to place C18 side chains on the surface
above Ts, and for small values of φb the surface is predominantly
covered with C18 side chains (see Supporting Information).
ωIR - ωq - iΓq
q
where Aq, Γq, and ωq are the strength, damping constant, and
angular frequency of a single resonant vibration, respectively.
øeff,NR is the nonresonant part of the signal. The magnitude of
Aq(r+)/Aq(r-) of CH3 groups is related to the average orientation
of the CH3 groups with respect to the surface normal. The values
of Aq(r+)/Aq(r-) are similar above and below Ts,18, indicating
that the average orientation of the methyl groups has not changed
after the first drop in SFG intensity in the heating cycle
(transition at low temperature). Hence, the drop in SFG intensity
after the transition at low temperature implies that the number
of ordered surface side chains has decreased abruptly. This
clearly indicates the presence of two independent phases on the
surface. One could perhaps argue that the ordered C22 side
chains are mixed with disordered C18 side chains. However,
this is not possible due to the high-energy penalty at the interface
between the ordered C22 and disordered C18. The surface
tension measurements indicate that there is a change in entropy
and energy and hysteresis in the cooling cycle during the surface
ordering transition. These results cannot be explained without
the interactions with neighboring ordered chains and the
existence of independent ordered C22 phase on the surface.
Above Ts,22 both C18 and C22 are disordered as indicated by
weak SFG intensity of the CH3 peaks.
Below Ts, the ordered C22 side chains are phase separated
from the disordered C18 chains, and we have to use the solution
model instead. We can determine the surface transition tem-
perature of the C22 phase as a function of φb after equating the
chemical potential of C22 chain in the ordered phase to the
C22 chain in the bulk liquid.
Ts ) an1(γ22(Ts) - γ(Ts))/(k ln(φb))
(3)
n1 ≈ nT ≈ 100 provides a reasonable fit for the dependence of
Ts,22 on φb (shown as a solid line in the inset in Figure 3). As
a comparison, we have also shown the fit for n1 ) 1, which is
expected for binary alkane blends with large differences in chain
length. The large values of n1 reduces the dependence of Ts,22
on φb, as observed for poly(n-alkyl acrylate) blends.
It is interesting to note that we predict that n1 increases sharply
upon cooling below the surface ordering temperature. This
explains why surface transitions upon heating are sharp even
at such low volume fraction of C22 chains. The order-to-disorder
transition will only involve moving the C22 side chains from
the surface to the near vicinity below the surface. On the other
hand, cooling requires a nucleation event which is more and
more unlikely at such low concentration of C22 chains in the
bulk. This is the reason the hysteresis increases with decrease
in φb. There are currently no theoretical models to predict the
total concentration of C22 chains on the surface for phase-
separated systems. This requires the knowledge of energy
penalties due to grain boundaries. However, we postulate that
the small differences in surface tension multiplied by large n1
may explain the reasons for such high overall concentration of
ordered C22 chains on the surface at such low values of φb.
Since the orientation of the ordered C18 and C22 chains is
similar, we can directly compare the magnitude of Aq above
and below the transition temperature to determine the overall
concentration of C22 chains on the surface. Figure 4b shows
the results for the surface concentration, φso, as a function of
bulk concentration of C22. In addition, we have also included
data points for samples with narrower polydispersity to illustrate
that the surface composition is not influenced by molecular
weight or PD of the polymer chain.
There are many striking differences observed in the blends
of poly(n-alkyl acrylates) in comparison to binary blends of
alkanes that also exhibits surface freezing. First, the transition
temperatures of the longer side chain component is relatively
independent of bulk concentration. In the case of alkanes with
large differences in chain length, the transition temperature
decreases rapidly with decrease in concentration of the longer
chain.7 For the similar chain length differences as the poly(n-
alkyl acrylates) studied here, the alkane blends are miscible in
the solid state. Second, the small differences in the surface
energies of ordered C22 and disordered C18 result in a dramatic
surface segregation of C22 chains on the surface for φb as small
as 2 wt %. Finally, we observe a significant hysteresis in the
cooling cycle that increases with decrease in φb, which is not
observed for blends of linear alkanes.
In summary, we have for the first time studied the surface
segregation in binary blends of polymers that differ in the length
of the side chains. The surface segregation of C22 chains is
driven by surface freezing and adding a small amount of C22
(>2 wt %) is sufficient to cover the surface with C22 below
Ts,22. Below the surface ordering temperature, we predict that
the polymer chains with longer side chains undergo a sharp
transition to a flattened conformation with almost all the side
chains/molecule participating in the surface-ordered phase.
Neutron reflectivity experiments are in progress to directly
confirm these predictions. The side-chain acrylates are used as
smart adhesives, seed coatings, adhesive tapes, nucleating
agents, and bandages.13,14 Blending a small quantity of large
side-chain component offers an unique opportunity to modify
the static and dynamic surface tension for these applications.
Here we present a simple model to explain the differences
between the results for poly(n-alkyl acrylate) blends in com-
parison to that observed for small molecule alkanes. In this
model, the polymer chain with nT number of side chains has an
option to place n1 side chains on the surface and the remaining