Chapter 9
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Thermodynamics of Polymer Blends by Inverse Gas Chromatography G. DiPaola-Baranyi Xerox Research Centre of Canada, 2660 Speakman Drive, Mississauga, Ontario L5K 2L1, Canada IGC was used to determine the thermodynamic m i s c i b i l i t y behavior of several polymer blends: polystyrene-poly(n-butyl methacrylate), poly(vinylidene fluoride)-poly(methyl methacrylate), and polystyrene-poly(2,6-dimethyl-1,4-phenylene oxide) blends. S p e c i f i c retention volumes were measured for a variety o f probes i n pure and mixed stationary phases of the molten polymers, and FloryHuggins interaction parameters were calculated. A generally consistent and r e a l i s t i c measure of the polymer-polymer interaction can be obtained with this technique.
The concept of blending two or more polymers to obtain new polymer systems i s attracting widespread interest and commercial u t i l i z a t i o n . Blending provides a simpler and more economical a l t e r n a t i v e for obtaining polymeric systems with desired properties, as compared to the synthesis of new homopolymers. This growing demand for polymer blends has generated a need for a better understanding of the thermodynamics of m i s c i b i l i t y and phase separation in polymer systems. This in turn has generated tremendous interest i n techniques that can be used to characterize the thermodynamics of polymer-polymer systems. The usefulness of inverse gas chromatography for determining polymer-small molecule interactions i s well established (1,2). This method provides a fast and convenient way of obtaining thermodynamic data for concentrated polymer systems. However, t h i s technique can also be used to measure polymer-polymer interaction parameters v i a a ternary solution approach (2). Measurements of s p e c i f i c retention volumes of two binary ( v o l a t i l e probe-polymer) and one ternary ( v o l a t i l e probe-polymer blend) system are s u f f i c i e n t to calculate Xp3'» Flory-Huggins interaction parameter, which i s a measure of the thermodynamic t n e
0097-6156/89/0391-0108$06.00/0 • 1989 American Chemical Society
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
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9. DiPAOLA-BARANYl
Thermodynamics of Polymer Blends
109
m i s c i b i l i t y of two polymers. IGC has been used to study a variety of blends. Some of these include polystyrenepoly(dimethyl siloxane) (4), polystyrene-poly(vinyl methyl ether) (S>6), poly(methyl acrylate)-poly(epichlorohydrin) ( J ) , poly(vinylidene f l u o r i d e ) - poly(ethyl acrylate) (8), poly(e-caprolactone)-poly(vinyl chloride) (2*1Q)> and poly(dimethyl siloxane)- polycarbonate (JJ.). This paper reviews the application of IGC in determining interaction parameters for three polymer blend systems: polystyrene-poly(n-butyl methacrylate) (PS-PnBMA), polystyrenepoly(2,6-dimethyl-1,4-phenylene oxide) (PS-PPO), and poly(vinylidene fluoride)-poly(methyl methacrylate) (PVF2-PMMA) (12-14). In each case, a generally consistent and r e a l i s t i c measure of the polymer-polymer interaction i s obtained. Materials and Methods Materials. A l l solutes were chromatographic quality or reagent grade and were used without further p u r i f i c a t i o n . The polystyrene samples (PS: M = 110,000, M /M ) of the Flory-Huggins theory, that the o v e r a l l interaction parameter between the v o l a t i l e probe (1) and the binary stationary phase (2,2) i s given by 2
2
2
2
X
1(23
) = In([273.16R(w v 2
- d - T O s "
2+
2
w v )/V p°V ]-(l-V /V ) , 0
3
3
( B
g
V
Pi u " .
1
1
2
4
2
) / R T
where w and wg refer to the weight fractions of each polymer in the blend. The volumetric data for the blends were determined by assuming that the s p e c i f i c volume of the blend i s the average of the s p e c i f i c volumes of the parent homopolymers (26-29). 2
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
(3)
9.
DiPAOLA-BARANYI
111
Thermodynamics of Polymer Blends
Results and Discussion Polymer-polymer interaction parameters ( x 3 ' ) were calculated using the following expression: 2
X«28) 12^2 + X 4> - X3*4>4>3 =
X
13
3
2
2
( 4 )
where 1 refers to the probe, 2 and 3 refer to the polymers in the stationary phase, (j> and g refer to the volume f r a c t i o n of each of the polymers, and x 3 = X 3 V l / V , where V1 and V refer to the molar volume of the polymers. The value of x 3 i s thus normalized to the size of the probe molecule. A negative interaction parameter i s required in order to ensure m i s c i b i l i t y of two high molecular weight polymers. Polymer-polymer interaction parameters are summarized for three systems: 1. blends of oligomeric polystyrene ( P S L ) and poly(n-butyl methacrylate) (15 to 80 wt-Jt P S L ) at 140°C; 2. blends of polystyrene and poly(2,6-dimethy1-1,4-phenylene oxide) (25 to 85 wt-% PS) at 240°C; and 3. blends of semi-crystalline poly(vinylidene fluoride) and poly(methyl methacrylate) (25 to 90 wt-Jt P V F ) at 200°C. Tables I to III summarize the x 3 values obtained with a variety of probes for each of these systems. 2
2
f
2
2
2
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2
f
2
2
TABLE I.
f
Polymer-Polymer Interaction Parameters ( x 3 ) for Various PSL-PnBMA Blends a t 140°C 2
Wt-%PS
!
L
Solute 15
27
30
35
40
58
80
n-octane
-0.11
0. 10
0.42
-0.21
0.01
0. 11
0 07
2,2,4-trimethylpentane
-0.25
0. 09
0.47
-0.21
0.02
0. 19
0 .14
n-decane
-0.22
0. 10
0.40
-0.20 -0.01
0. 06
0 00
3,4,5-trimethylheptane
-0.21
0. 12
0.43
-0.18
0. 07
0 .06
cyclohexane
-0.25
0. 04
0.44
-0.24 -0.03
0. 07
0 04
benzene
-0.17
0. 11
0.47
-0.20
0. 05
0 .00
carbon tetrachloride
-0.22
0. 05
0.45
-0.24 -0.02
0. 09
0 .08
chloroform
-0.25
0. 09
0.41
-0.21 -0.03
0. 09
0 .01
2-pentanone
-0.30
0. 08
0.40
-0.25 -0.06
0. 02 -0 .09
1-butanol
-0.41
0. 06
0.35
-0.32 -0.08 -0 .01 -0 .03
n-butyl acetate
-0.25
0. 08
0.43
-0.23 -0.08
0.03
0.00
0. 04
0 .08
Source: Reprinted from ref. 12. Copyright 1981 American Chemical Society.
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
INVERSE GAS CHROMATOGRAPHY
TABLE I I . Polymer-Polymer Interaction Parameters (X23 ) f o r Various PS/PPO Blends a t 240°C 1
wt-% PS Solute
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n-octane
25
50
75
85
0.46
0.38
-0.52
-0.55 -0.40
n-decane
0.38
0.53
-0.36
3,4,5-trimethylheptane
1.32
0.86
-0.03
0.07
n-butylcyclohexane
0.62
0.60
-0.32
-0.31
cis-decalin
0.74
0.71
-0.19
-0.06
toluene
0.47
0.51
-0.19
-0.06
n-butylbenzene
0.54
0.46
-0.34
-0.34
chlorobenzene
0.48
0.49
-0.31
-0.21
acetophenone
0.40
0.49
-0.23
-0.05
cyclohexanol
0.66
0.58
-0.03
0.17
Source: Reprinted with permission from ref. 13. Copyright 1985 Canadian Journal of Chemistry. TABLE I I I . Polymer-Polymer Interaction Parameters (X23') ° Various PVF2-PMMA Blends a t 200°C f
r
wt-% PVF2 Solute
25
50
75
90
acetophenone
0.55
-0.13
-0.51
-0.71
cyclohexanone
0.24
0.11
-0.33
-0.52
N,N-dimethylformamide
0.29
-0.20
-0.31
-0.45
cyclohexanol
0.03
-0.02
-0.46
-0.55
n-butylbenzene
0.12
0.01
-0.50
-0.59
o-dichlorobenzene
-0.01
-0.09
-0.50
-0.67
1-chlorooctane
0.06
0.08
-0.33
-0.60
1-chlorodecane
0.26
0.03
-0.47
-0.54
Source: Reprinted from r e f . 14. Copyright 1982 American Chemical Society.
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
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9. DIPAOLA-BARANYI
Thermodynamics ofPolymer Blends
113
From these data, two general observations can be made. 1. As noted i n previous chromatographic investigations o f polymer-polymer m i s c i b i l i t y (2, 2, 10), some probe-to-probe variations are observed i n each of these systems. The work of Al-Saigh and Munk (I) and Pottiger (30) indicates that t h i s probe-to-probe v a r i a b i l i t y i s not i n t r i n s i c to the IGC technique, but i s probably a l i m i t a t i o n of the a b i l i t y of the modified Flory-Huggins theory to account for a l l polymer-probe interactions i n ternary solution systems (for example, inadequate expression for entropy of mixing which does not take into account non-random mixing of components). One might speculate that the probe-to-probe v a r i a t i o n may indeed r e f l e c t true changes i n interactions between the components o f the stationary phases, due to the variations in f o r c e - f i e l d s at contact interfaces brought on by nonrandom p a r t i t i o n i n g of the probe molecules. The IGC technique may be unique i n giving information on thermodynamic quantities as viewed from molecular, rather than bulk l e v e l s . 2. The X 2 3 ' parameter i s c l e a r l y dependent on the composition of the polymer blend. Examination of the tabulated data (Tables I to III) indicates that for each blend, a l l the probes y i e l d s i m i l a r trends. This composition dependence i s i l l u s t r a t e d graphically i n Figures 1 to 3, where each point represents the average X 2 3 * value for a l l the probes investigated for each blend composition. (In the PS-PPO system, the probe 3,4,5-trimethylheptane exhibited large deviations and was therefore not considered i n the averaging procedure.) This averaging procedure was employed i n order to circumvent the v a r i a b i l i t y i n the X 2 3 * values and to f a c i l i t a t e i l l u s t r a t i o n of the composition dependence. IGC studies (12-14) for each of these polymer blends reveal single, composition dependent Tg values (Figures 4-6), and i n the case of PVF2-PMMA blends, melting point depression i s also observed (Figure 7). These are taken as indicators of polymer compatibility. Blends of oligomeric polystyrene and poly(n-butyl methacrylate) are characterized by a large and unexpected variation of X 2 3 function of blend composition (at 140°C). The large fluctuation i n X 2 3 ' between 20 and 40 wt-# P S L i s d i f f i c u l t to explain. One of the referees has suggested that since the trend i s the same for a l l the probes, a possible error in the measurement of some quantity common to a l l probes, such as the determination of the amount of polymer on the column, could explain these fluctuations. This remains to be confirmed. Since the measured values of x 3 ' generally p o s i t i v e , i t appears that there are no strong a t t r a c t i v e forces between these two polymers which would favor m i s c i b i l i t y . However, because of the low molecular weight of the polystyrene, m i s c i b i l i t y i s permitted, even i n the presence of positive X 2 3 interaction parameters, due to favorable combinatorial entropy e f f e c t s . Increasing the molecular weight of polystyrene leads to an immiscible system (12). 1
a
s
a
a
r
e
2
1
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
114
INVERSE GAS C H R O M A T O G R A P H Y
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o
20
40 WT - %
Figure 1.
Figure 2.
60 PS
80
100
L
n
Composition dependence of X23* * PSL~PnBMA blends. (Reproduced from r e f . 12. Copyright 1981 American Chemical Society.)
40
60
WT-%
PS
100
Composition dependence of X23 i PS-PPO blends (Reproduced with permission rrom Ref. 1 3 . Copyright 1985 Canadian Journal of Chemistry.) 1
R
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
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DiPAOLA-BARANYl
Thermodynamics of Polymer Blends
100 PVF
WT-%
Figure 3.
2
Composition dependence of X23 * PVF2-PMMA blends. (Reproduced from r e f . 14. Copyright 1982 American Chemical Society.) 1
N
P S - P n B M A Blends L
0.2
W
Figure 4.
0.6
0.4 P
S
0.8
1.0
L
Composition dependence of Tg of PSL-PnBMA blends. (Reproduced from r e f . 12. Copyright 1981 American Chemical Society.)
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
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116
INVERSE GAS CHROMATOGRAPHY
Figure 5.
Composition dependence of Tg o f PS-PPO blends. (Reproduced with permission from Ref. 13. Copyright 1985 Canadian Journal of Chemistry.)
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
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DiPAOLA-BARANYI
Thermodynamics ofPolymer Blends
0.2
0.4 W
Figure 6 .
0.6
PVF
1.0
2
Composition dependence of T of PVF2-PMMA blends. (Reproduced from r e f . 14. Copyright 1982 American Chemical Society.) g
0.4
0.6 WRVF
Figure 7.
0.8
0.8
1.0
2
Composition dependence of T of PVF2-PMMA blends. (Reproduced from r e f . 14. Copyright 1982 American Chemical Society.) m
In Inverse Gas Chromatography; Lloyd, D., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 1989.
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118
INVERSE GAS CHROMATOGRAPHY
Polystyrene-poly(2,6-dimethyl-1,4-phenylene oxide) blends with a high polystyrene content (>60 wt-J PS) are characterized by small negative interaction parameters (approximately -0.2) i n the molten state. This i s in accordance with the compatibility of PS-PPO blends. Small negative interaction parameters (< -0.1) have previously been reported for PS-PPO blends from melting point depression (31-33) and small-angle neutron scattering measurements (34)In addition, calorimetric studies have indicated a small negative enthalpy o f mixing for t h i s system at room temperature (35). In the present study, blends with low polystyrene content (