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Publisher’s version / Version de l'éditeur:

Journal of Applied Polymer Science, 62, 4, pp. 621-629, 1996-10-24

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The kinetic study for asymmetric membrane formation via

phase-inversion process

Kim, H. J.; Tyagi, R. K.; Fouda, A. E.; Jonasson, K.

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The Kinetic Study for Asymmetric Membrane Formation

via Phase-Inversion Process

H. J. KIM, R.

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K. TYACI, A.

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E. FOUDA," and K. JONASSON

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Institute for Chemical Process and Environmental Technology, National Research Council Canada, Ottawa, Ontario K1A O R 6 , Canada

SYNOPSIS

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The kinetics of membrane formation by phase inversion was studied emphasizing the rate of solvent diffusion from a polymer solution during the phase separation. Diffusional be- havior of the solvent can be considered Fickian. Membrane morphologies were shown to be strongly dependent on the rate of solvent diffusion, indicating that mass-transfer rates of solvent and nonsolvent during phase separation are crucial for determining the final membrane structure for the following system: polysulfone (polymer), dimethyl acetamide (solvent), and ethanol (gelation medium). Specific reference to the mechanism of macrovoid formation was explored. Macrovoid formation was found to be proportional to the square root of time, suggesting that it is governed by a diffusion process. In addition, latex particles of coagulated polymer formed by the nucleation and growth of a concentrated polymer phase was observed inside the macrovoids. Such a result implies t h a t the macrovoids grow by a diffusive flow which results from the growth of the polymer lean phase during binodal

decomposition.

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0 1996 John Wiley & Sons, Inc.

INTRODUCTION

The phase-inversion process is a widely used method for making asymmetric, microporous polymer mem- branes. In this process, a viscous polymer solution is first spread into a thin film, then immersed in a ge- lation medium. Complicated phenomena are involved in this process such as thermodynamic phase sepa- ration of a homogeneous polymer solution into two phases, polymer-rich and polymer-lean, and diffusive interchange between the solvent and nonsolvent. The former is regarded as a thermodynamic effect while the latter is a kinetic one. Since the morphology and performance of membrane strongly depends on these two effects, which are closely related to preparation conditions, many authors have reported the mecha- nism of asymmetric membrane formation via the phase-inversion process.'-8 The previous investigations have focused mainly on the thermodynamic terms, relating casting conditions to final morphologies of the membranes; however, it is known that pore-size

* To whom correspondence should be addressed. NRCC No. 37615

Journal of Applied Polymer Science, Vol. 62, 621-629 (1996)

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0 1996 J o h n Wiley & Sons, Inc. CCC 0021 -8995/96/04062 1-09

distribution, in addition to skin and macrovoid for- mation, are controlled by kinetic effects.$" This re- lationship between membrane morphology and kinetic effects suggests that a gelation medium mass transfer plays an important role in determining the structure of the membrane. Mass transfer occurs mainly at the interface between the polymer solution and gelation medium by a diffusion process. Exchange of solvent and nonsolvent across the interface introduces phase separation in the polymer solution, leading to various asymmetric structures. Recently, there have been sev- eral attempts to study the mass-transfer dynamics re-

lating to the membrane One of the

problems for the membrane scientists that have not been satisfactorily explained is the formation of macrovoids. It has been shown that the formation of macrovoids in membranes can be suppressed or elim- inated through experimental procedures, but contro- versy still exists regarding whether the formation of macrovoids is a result of convective flow or diffusive fl0w.'~7~O In this article, the kinetic behavior affecting membrane preparation will be studied, especially the effect of the rate of solvent diffusing out from the polymer solution. Using this analysis, macrovoid for- mation will be discussed in terms of kinetic behavior, emphasizing the growth mechanism.

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622 KIM E T A L

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EXPERIMENTAL

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Polysulfone (PSF; Udel 1700, MW

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= 30,000) from Union Carbide was used for the membrane material.

Figure 2 SEM micrographs of membrane cross sections

of different polymer concentrations: (a) 15 wt %; (b) 20

wt %; (c) 25 wt %.

Dimethylacetamide (DMAc, Aldrich, 99+%) and ethanol (99.9%) were used as the solvent and gela- tion medium, respectively, for the Polymer without further purification. Polymer solutions of and

26 wt % polysulfone solvated in DMAc were cast on

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( c )

Figure

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1 SEM micrographs of membrane surfaces of

different polymer concentrations: (a) 15 wt %; (b) 20 wt

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ASYMMETRIC MEMBRANE FORMATION

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623

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I

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I I I

0 20 40 60 80 100

time (rnin)

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Figure 3 Change in concentration of solvent in the vi-

cinity of polymer solution as a function of time during precipitation.

a glass plate, then immediately immersed into a ge- lation bath a t room temperature without preeva- poration. The resulting membrane was kept in the gelation bath a t least for 1 day and then dried in a vacuum oven at 40°C.

The solvent concentration in the gelation medium was determined by pouring 30 mL of ethanol into 3

g of polymer solution. A 0.2 mL of the liquid near the surface of the precipitated polymer solution was sampled by a pipet and analyzed using a GC (Shi- madzu GC-8A) equipped with a Porapak Q column.

The procedure above was repeated a t least three times.

The rate of precipitation was investigated using an optical microscope. The polymer solution was kept between two glass slides and observed under the microscope at magnifications of 25 and 90, dur- ing its precipitation in ethanol. The details of this experimental method were described elsewhere.*l Membrane morphology was examined by scanning electron microscopy (SEM, Jeol ISM 5300) where both cross sectional as well as the surface images

were prepared.

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RESULTS AND DISCUSSION

Morphologies of the membranes studied are shown in Figures 1 and 2 as surface and cross surface im- ages, respectively. As the polymer concentration in polysulfone/DMAc solution increases, Figure 1 shows that the number of surface defects decrease. The cross-sectional analysis shown in Figure 2

demonstrates that as the polymer concentration increased the number of macrovoids or cavities de- creased. Thus, it can be generally stated that the

(4 (4

Figure 4 Schematic illustration of precipitation with

time: (a) concentration profile of solvent a t time t

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= 0; (b) concentration profile of solvent at time t = t l ; (c) precip-

itated polymer solution; (d) gelation medium interface; (e) bulk gelation medium.

number and size of macrovoids strongly depends on the polymer concentration as reported by many authors.’-” Figure 3 shows the concentration of solvent near the precipitated polymer solution in the gelation medium as a function of time. It can be assumed that solvent molecules near the phase- separating polymer solution diffuse in two ways: diffusion of solvent from the polymer solution into the gelation medium interface and diffusion of sol- vent from the gelation medium interface into the bulk gelation medium, as described schematically in Figure 4. The concentration of solvent increased rapidly during early stages and decreased later on, which means that solvent diffuses out at a relatively higher rate in the initial period of precipitation (less than about 40 min), while the rate of solvent dif- fusion from the gelation medium interface into the bulk gelation medium increased in the later stage. In addition, it can be seen that the solvent concen-

30 I

0 2 4 6

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8 10

time (rnin‘”)

Figure 5 Change in concentration of solvent in the vi-

cinity of polymer solution as a function of square root of time during precipitation.

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624

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KIM ET

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AL.

Figure 6

different polysulfone concentrations: (a) 15 wt

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%; (b) 25 wt %.

Optical micrographs of precipitation with time for polymer solutions containing

tration in the gelation medium decreases as the polymer concentration increases, suggesting that polymer chains prohibit solvent molecules from diffusing through the phase-separated polymer solution.

Since during precipitation the diffusion of sol- vent molecule is controlled a t the layer of the poly- mer solution in close vicinity of the solution/ gelation medium interface, defined hereafter as the top layer, the mobility of the solvent molecules is likely restricted by polymer chains in the top layer. To investigate the diffusion behavior of solvent molecules through the top layer, the concentration of solvent in the gelation medium is plotted against

the square root of time in Figure 5. The concen- tration increases linearly and then reaches an equilibrium value, indicating that the solvent mol- ecules demonstrate a Fickian behavior by diffusing through the top layer during precipitation. Based on the results shown in Figure 5, it may be consid- ered that before equilibrium was reached the top layer through which solvent molecules diffuse was in a gel state made of a polymer/solvent mixture and thus allowed solvent molecules to move rela- tively freely as in above glass transition tempera- ture condition, showing a Fickian behavior. Simi- larly, after the equilibrium condition is reached, it is postulated that the skin layer becomes nonflex-

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ASYMMETRIC MEMBRANE FORMATION 625

Figure 6

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(Continued from the previous page)

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ible and solidified and thus restricted the mobility of solvent molecules to be relatively immobile. Based on the fact that the equilibrium concentra- tion of solvent at the gelation interface decreases as the polymer concentration of the casting solution increases, it can be stated that the gelled structure becomes too densely packed and inflexible for sol- vent molecules to diffuse through.

It has been p r ~ p o s e d ~ , ~ ~ that optical microscopy can be used to investigate precipitation kinetics in membrane preparation. The optical microscopic method was used in this work to measure the rate of nonsolvent penetration into the polymer solu- tion. Figure 6 shows optical micrographs taken for

the polymer solution containing 15 and 25 wt

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5% of the polymer, respectively, as a function of time.

The dark bands in the figure represent the precip- itated region. As can be seen in Figure 6, the growth rate of the dark band is almost the same in both solutions. The width of the dark band is plotted against square root of time in Figure 7. The process of precipitation in a ternary system is very difficult to describe mathematically due to ternary diffusion, moving boundary, concentration change of me- dium, etc.; however, due to the fact that the pen- etration distance is linearly proportional to the square root of time in the initial stage of precipi- tation, the nonsolvent penetration can also be re-

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626

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KIM ET AL.

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40

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I

I I I I I I I

0 1 2 3 4 5 6 7 8

time (min'")

Figure 7 Precipitation distance vs. square root of time for polymer solutions containing different polysulfone concentrations.

garded as Fickian as reported by Strathmann et aL3 and Kang et al.'l Such an analysis suggests that the apparent diffusion coefficient of the nonsolvent can be calculated from the slope of the distance vs. time plot. The slopes of the three sets of data in Figure 7 are almost the same for all polymer con- centrations, which indicates that there is not much difference in the diffusion coefficient and precipi- tation rate for different polymer concentrations. Further, it suggests that the rate of solvent diffusing from the polymer solution may be more crucial in the formation of a skin layer or initial formation of a precipitated structure than the rate of precip- itation or diffusion of nonsolvent into the polymer solution.

Numerous authors have reported on the im- portance of macrovoid formation in the prepara- tion of asymmetric membranes by the phase-in- version process.22 Frommer and Messalam' and Stevens et al.23 suggested that surface tension gra- dients are the driving forces accounting for the initiation of macrovoids at the interfacial bound- ary of the film. Strathmann et al.3 proposed that mechanical stresses cause the rupture of the thin top layer and this rupture point initiates the for- mation of macrovoids. Broens et al.24 reported that loose local arrangements of polymer nodules in the top layer may set as initiation points for the macrovoids.

A controversy still surrounds the argument as

tive flow or a diffusional flow of solvent from the polymer solution into the nuclei of macrovoid. The convective flow is a result of an intrusion of non- solvent into the polymer solution through defects or a loose arrangement of nodules at the polymer solution-nonsolvent interface, whereas the diffu- sional flow of solvent is caused by thermodynamic phase separation in which the polymer solution tends to separate into a polymer-rich phase and a

polymer-lean phase. Smolders et a1.l' reported that nucleated droplets of the polymer lean phase in the polymer solution through binodal decomposition are responsible for the initiation of macrovoids. The formation of macrovoids was observed in this work

Figure 8

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Optical micrographs of precipitation with time -~ ~~

(8)

ASYMMETRIC MEMBRANE FORMATION

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627

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-

60 E

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E

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50

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-9

40

2

30 v -0

g

5

20 a, 10 ’c 0 cn c

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I

0

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I I I I I I I 0 100 200 300 400 500 600 700 800 time (sec) Figure 9

polymer solution containing 15 w t % polysulfone. Longitudinal length of macrovoid vs. time for

with the aid of an optical microscope and the ki- netics of macrovoid growth will be discussed in the following section.

Figure 8 shows the growth of macrovoids with time. The macrovoid front is almost the same as the precipitation front, which indicates t h a t the mechanism of macrovoid formation may be the same as that of precipitation. In Figures 9 and 10,

70

-

60 E E

8

50

E

2

40

2 30 X v + 0 cn c

5 20

a, 10 0

5

10 15 20

25

30 time

(sec”2)

Figure 10 Longitudinal length of macrovoid vs. square

root of time for polymer solution containing 15 w t % poly-

sulfone.

Figure 11 Optical micrographs of morphology inside

macrovoid for polymer solution containing 15 w t % poly-

sulfone.

the longitudinal length of the macrovoids is plot- ted against time. I t suggests that the macrovoid grows proportionally with the square root of time, which means that the growing macrovoid can be considered as a result of diffusional flows rather than of convective flows. In other words, the ini- tiation and growth of macrovoids can be explained thermodynamically in terms of phase separation of the polymer solution as described by Smolders et al.”: Macrovoids are formed by a change in pre- cipitation conditions from instantaneous to de- layed onset of demixing a t a certain distance from the film interface and the growth of the macrovoids is caused by solvent being expelled by the sur- rounding polymer solution during phase separa- tion. Hence, macrovoids can be regarded as the result of the growth of the polymer lean phase during binodal decomposition.

From the slope of line in Figure 10, the apparent diffusion coefficient for the macrovoid growth could be calculated by the equation suggested by Kang et al.’l and Strathmann et al.,3 resulting in 1.874 X cm2/s, which is in accordance with diffusion coefficient in liquid. To verify it visually, the mor-

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628 KIM

zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA

ET AL.

the nuclei for macrovoids, during the phase-inver-

sion process.

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Figure 12 SEM micrographs of morphology inside

macrovoid for polymer solution containing 15 wt

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% poly- sulfone.

phology inside of the macrovoids formed between two slide glasses was examined at high magnifica- tion after precipitation for 1 week. Figures 11 and

12 are photographic pictures inside the macrovoid taken by an optical micrograph and SEM, respec- tively, where a morphology typical of that resulting from the phase separation of a polymer solution with a very low polymer concentration (0.5 w t %)

and below the critical polymer concentration as re- ported by Koenhen et al.25 is shown. They presented an SEM photograph of the product of the coagu- tration. At such a polymer concentration, nucle- ation and growth of the concentrated phase has occurred and then latex particles of coagulated polymer were observed. Such an observation can be explained by the following: Macrovoids consist of a polymer lean phase of very low polymer con- centration, and, thus, their initiation and growth can be attributed to the diffusion of solvent from the polymer solution into the polymer lean phase,

-1at-ion -p?sce3s at -vi?py -low -:-0.5%-)

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-po!-3.'mer-concm-

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CONCLUSIONS

1. In studying the kinetic effect in the phase- inversion process for preparing asymmetric membranes, it is concluded that the diffu- sional behavior of solvent in the polymer so- lution during precipitation can be regarded as Fickian.

2. The rate of diffusion of the solvent from the

polymer solution, relative to the rate of dif-

fusion of the nonsolvent into the polymer so-

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lution, plays an important role in determining the membrane structure.

3. It can also be concluded from the kinetic

observation of the formation of macrovoids that macrovoids are caused by a diffusional flow resulting from the growth of the poly- mer lean phase during binodal decomposi- tion. It is confirmed by the existence of latex particles of coagulated polymer in macro- voids which is thought to be the result of the nucleation and growth of the concen- trated phase.

REFERENCES

1. M. T. So, F. R. Eirich, H. Strathmann, and R. W.

Baker, J. Polym. Sci. Polym. Lett. Ed., 1 1 , 2 0 1 (1973).

zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA

2. M. A. Frommer and R. M. Messalem, I d . Erg. Chem. Prod. Res. Deu., 12, 328 ( 1 9 7 3 ) .

3. H. Strathmann, K. Kock, P . Amar, and R. W. Baker,

Desalination, 1 6 , 179 ( 1975).

4. H. Strathmann and K. Kock, Desalination, 21, 241 ( 1 9 7 7 ) .

5. C. Cohen, G. B. Tanny, and S. Prager, J . Polym. Sci.

Polym. Phys. Ed., 1 7 , 4 7 7 (1979).

6. J. G. Wijmanns, J. Kant, M. H. V. Mulder, and C. A. Smolders, Polymer, 26, 1539 ( 1985).

7. A. J. Reuvers, F. W. Altena, and C. A. Smolders, J.

Polym. Sci. Polym. Phys. Ed., 2 4 , 793 ( 1986). 8. C. W. Yao, R. P. Burford, A. G. Fane, and C. J. D.

Fell; J. M k n h r . Sci., 38,113 (1988).

9. H. Strathmann, in Material Science

zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA

of Synthetic Membranes, D. R. Lloyd, Ed., ACS Symposium Series

269, American Chemical Society, Washington, DC, 1985.

10. A. J. Reuvers, J. W. A. van den Berg, and C. A. Smol- ders, J . Membr. Sci., 34, 45 ( 1 9 8 7 ) .

11. A. J. Reuvers and C. A. Smolders, J. Membr. Sci., 34,

67 (1987).

12. L. Yilmaz and A. J. McHugh, J. Appl. Polym. Sci.,

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ASYMMETRIC MEMBRANE FORMATION 629

13. L.

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Yilmaz and A. J. McHugh, J. Membr. Sci., 2 8 , 2 8 7

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14. T.-H. Young and L.-W. Chen, J. Membr. Sci., 5 9 ,

15. C. S. Tsay and A. J. McHugh, J. Membr. Sci., 6 4 , 8 1

16. G. E. Gaides and A. J. McHugh, J. Membr. Sci., 74,

17. P. Radovanovic, S. W. Thiel, and S.-T. Hwang, J.

18. P. Radovanovic, S. W. Thiel, and S.-T. Hwang, J .

19. C. A. Smolders, A. J. Reuvers, R. M. Boom, and I. M.

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( 1988). 169 (1991). (1992). 83 (1992).

Membr.

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Sci., 6 5 , 213 (1992).

Membr. Sci., 6 5 , 231 (1992).

Wienk, J. Membr. Sci., 7 3 , 259 (1992),

20. L. Zeman and T. Fraser, J. Membr. Sci., 8 4 , 9 3 (1993). 21. Y. S. Kang, H. J. Kim, and U. Y. Kim, J. Membr.

22. R. Matz, Desalination, 10, 1 (1972).

23. W. E. Stevens, C. S. Dunn, and C. A. Petty, in 73rd

24. L. Broens, F. W. Altena, and C. A. Smolders, Desal-

25. D. M. Koenhen, M. H. V. Mulder, and C. A. Smolders,

Sci., 6 0 , 2 1 9 ( 1991).

AZChE Annual Meeting, Chicago, IL, 1980.

ination, 32, 33 (1980).

J . Appl. Polym. Sci., 2 1 , 199 ( 1977).

Received December

zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA

28, 1995

Figure

Figure  2  SEM micrographs of membrane cross sections  of  different  polymer  concentrations:  (a) 15  wt  %;  (b)  20  wt  %;  (c) 25  wt  %
Figure  3  Change in concentration of  solvent in the vi-  cinity  of  polymer  solution  as a  function  of  time  during  precipitation
Figure 6  zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA (Continued from the previous page)  zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA
Figure  7  Precipitation distance  vs.  square root of time  for  polymer  solutions  containing  different  polysulfone  concentrations
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