Controlled grafting of polymer brush layers from porous cellulosic membranes

Controlled grafting of polymer brush layers from porous cellulosic membranes

Journal Pre-proof Controlled grafting of polymer brush layers from porous cellulosic membranes Cassandra J. Porter, Jay R. Werber, Cody L. Ritt, Yan-F...

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Journal Pre-proof Controlled grafting of polymer brush layers from porous cellulosic membranes Cassandra J. Porter, Jay R. Werber, Cody L. Ritt, Yan-Fang Guan, Mingjiang Zhong, Menachem Elimelech PII:

S0376-7388(19)33112-6

DOI:

https://doi.org/10.1016/j.memsci.2019.117719

Reference:

MEMSCI 117719

To appear in:

Journal of Membrane Science

Received Date: 7 October 2019 Revised Date:

30 November 2019

Accepted Date: 3 December 2019

Please cite this article as: C.J. Porter, J.R. Werber, C.L. Ritt, Y.-F. Guan, M. Zhong, M. Elimelech, Controlled grafting of polymer brush layers from porous cellulosic membranes, Journal of Membrane Science (2020), doi: https://doi.org/10.1016/j.memsci.2019.117719. This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. © 2019 Published by Elsevier B.V.

Author Statement

Menachem Elimelech research Cassandra Porter Mingjiang Zhong supervise the ATRP work Jay Werber Yan-fang Guan Cody Ritt

Adviser of C Porter, supervised First author, carried bulk of work Secondary adviser to C Porter; Analyzes data with C Porter Helped with ATRP work carried out all TEM work

Controlled Grafting of Polymer Brush Layers from Porous Cellulosic Membranes

Journal of Membrane Science Revised: November 30 , 2019 Cassandra J. Portera, Jay R. Werbera,b, Cody L. Ritta, Yan-Fang Guana,c, Mingjiang Zhonga, Menachem Elimelecha*

Department of Chemical and Environmental Engineering, Yale University, New Haven, CT 06520-8286, United States b. Department of Chemistry, University of Minnesota, Minneapolis, MN 55455-0431, United States c. CAS Key Laboratory of Urban Pollutant Conversion, Department of Applied Chemistry, University of Science & Technology of China, Hefei 230026, China a.

* Corresponding author: Menachem Elimelech, Email: [email protected], Phone: (203) 432-2789

Declarations of interest: none.

1

Graphical Abstract 1

Abstract

2

Dense polymer brushes on porous supports present powerful routes toward fouling-resistant

3

coatings and ultra-thin, mechanically-stable selective layers. However, characterization of

4

polymer chains grafted from nonideal, planar substrates often relies on indirect methods to

5

determine the length, density, and location of polymeric brushes. In this study, we explore new

6

methods to control and characterize the properties of polymer brush layers. Starting from hand-

7

cast cellulose films and commercial cellulose membranes, we use surface-initiated atom transfer

8

radical polymerization to graft polymeric chains. We tailor brush density and simultaneously

9

stabilize the support by varying the proportions of initiator and crosslinker esterified to the

10

cellulose substrate. On films with grafted polyacrylic acid (PAA) chains, we use the silver-

11

binding method to determine brush density. We analyze brush growth behavior by directly

12

cleaving chains from the surface of films for analysis by size exclusion chromatography,

13

uniquely observing the divergence of two distinct populations of differing length beyond a

14

certain molecular weight. Such behavior would be important to consider if the alignment of

15

block copolymer layers is absolutely necessary in an application. By controlled contact of

16

polymerization solution with the top surface, we show that brush growth can be partially directed 2

17

to the top surface for asymmetric cellulose membranes with relatively low molecular weight

18

cutoffs. In a semi-quantitative method to locate brush growth, depleted uranium was bonded to

19

grafted PAA chains, and targeted emission x-ray spectroscopy was conducted for comparison of

20

uranium content in various regions. Finally, we used our developed methods and findings to

21

inform the synthesis of homopolymer and diblock copolymer brush layers, which we then used

22

as selective layers in pressure-driven filtration and diffusion cell experiments.

23

Keywords

24 25

Surface-initiated atom transfer radical polymerization; thin-film composite; selectivity; grafting density; polymer brush

26

1. Introduction

27

The inherent surface properties of membrane-forming materials can be disadvantageous in

28

certain applications. For instance, the surface chemistry of aromatic polyamide used in reverse

29

osmosis desalination membranes can promote fouling, causing flux decline and diminishing

30

membrane performance, while some membrane materials used in biomedical applications are not

31

biocompatible unless modified [1]. Meanwhile, insufficient hydrophobicity of membranes used

32

in membrane distillation can induce pore wetting, which reduces the thermal driving force and

33

can cause salt break-through [2]. Catalytic, reactive, and adsorptive membranes may not

34

inherently provide sufficient functional groups for binding the desired ligands and reactive

35

species. In all these situations, the addition of polymer brushes of carefully chosen composition

36

can alter the surface characteristics of the membrane material to improve performance [3, 4].

37

Additionally, densely-grafted brush layers grown on the surface of porous supports could

38

provide alternative routes to produce ultrathin selective layers with compositions tailored for

39

specific applications. All these applications of brush layers necessitate precise addition of the

40

polymer chains to beneficially modify the base membrane without compromising other

41

performance requirements.

42

Atom transfer radical polymerization (ATRP) is a particularly attractive method for brush

43

growth. The controlled monomer-by-monomer addition during the reaction can produce

44

relatively monodisperse polymers with control over molecular weight, ranging from ~0.5 to

45

~100 kDa [5]. Advantageously, the retention of the initiating halogen at the polymer end allows

46

for the synthesis of block copolymers through sequential reactions involving different monomers 3

47

[6, 7]. By tethering an initiator to a membrane substrate, polymers may be grafted from a surface

48

with highly controlled, consistent lengths in surface-initiated atom transfer radical

49

polymerization (SI-ATRP), which can produce a higher brush density than top down “grafting-

50

onto” methods in which pre-formed polymers are bound to a surface [8].

51

ATRP-produced polymers “grafted-onto” and “-from” surfaces have been used to reduce

52

biofouling by increasing hydrophilicity [9, 10], to produce stimuli-responsive layers [11], and to

53

increase surface energy in pervaporation [12]. In many cases, these applications do not require

54

relatively monodisperse polymers and/or full surface coverage and thus could have been

55

achieved through simpler synthesis schemes than using highly-controlled ATRP. The advantages

56

of organic-phase SI-ATRP were demonstrated in one study by producing uniform coverage of

57

gold surfaces with nanoscale-thick poly(2-vinylpyridine) films with controlled grafting density

58

and polymer size to optimize biomolecular adsorption [13]. SI-ATRP was used in another study

59

to modify (decrease) the pore size of cellulose ultrafiltration membranes, with hydrophilic

60

poly[poly(ethylene glycol methacrylate)] grafted throughout the cellulose pore structure [14].

61

Dextran rejection curves shifted uniformly to lower molecular weights, suggesting controlled

62

modification of pore sizes. Membrane active-layer preparation involving ATRP has focused

63

more on producing block copolymers in homogeneous reactions that are later self-assembled into

64

patterned membranes, especially for anion- and proton-exchange membranes for fuel cells [15,

65

16]. Although poly(ethylene glycol dimethacrylate) polymer brushes grown directly from porous

66

alumina have shown high selectivity of CO2 over CH4 [3], SI-ATRP-derived active layers

67

comprising dense polymeric brushes that are robustly supported to withstand applied pressures in

68

desalination and other processes beyond gas separations have yet to be fully explored. These

69

layers would wholly exploit the unique advantages of SI-ATRP on porous substrates, requiring

70

even layering and high grafting density.

71

There is a critical need for more control of SI-ATRP when synthesizing brush layers in

72

membrane applications. For example, in the synthesis of selective layers, brush growth would

73

need to be directed to the top surface of a porous support, as opposed to throughout the

74

membrane thickness. The support layer would also need a high density of binding sites for

75

initiator and a high degree of solvent stability in the organic solvents used for ATRP.

76

Additionally, improved characterization techniques are needed for assessing brush layer

77

properties. Previous characterization methods of SI-ATRP-produced brushes have relied heavily 4

78

on assumptions which may not be entirely accurate, especially when such polymers were grown

79

on nonideal, relatively rough surfaces such as porous membranes [17-31]. To date, a systematic

80

study of the methods to govern and measure SI-ATRP growth rates as well as verify and control

81

location and density of brush-layer growth on nonideal membranes and polymer films has not

82

been reported.

83

This study focuses on the development of such techniques. Through direct cleavage and

84

measurement of brush size, we show the unique growth characteristics of polymer chains grown

85

from the nonideal surface of a dense cellulose film, which contains both concave and convex

86

regions on a nanoscale. A more direct measurement of brush density is developed, whereby

87

silver ions are bonded to the negatively-charged sidechains of polyacrylic acid (PAA) brushes,

88

eluted, and measured in inductively-coupled mass spectrometry (ICP-MS). Using commercial,

89

asymmetric regenerated cellulose ultrafiltration membranes as substrates, growth location is

90

controlled by exploiting steric hindrance with a specially designed sealing wafer. Regions of

91

growth are directly verified and quantified through uranyl nitrate staining and scanning

92

transmission electron energy-dispersive x-ray microscopy (STEM-EDX). Finally, as a proof of

93

concept, we demonstrate that SI-ATRP-produced brushes can serve as effective selective layers

94

in pressure-driven filtration and diffusion experiments.

95

2. Materials and methods

96

2.1 Chemicals and materials

97

Cellulose acetate (CA) of ~50,000 Da, α-bromoisobutyryl bromide (BiBB), adipoyl chloride

98

(AC), triethylamine (TEA), N,N,N′,N′′,N′′-pentamethyldiethylenetriamine (PMDETA), copper(I)

99

and copper(II) bromides (Cu(I) and Cu(II)), ethyl α-bromoisobutyrate (EBiB), tert-butyl acrylate

100

(tBA), diethyl ether, phosphoric, glacial acetic, and trifluoroacetic acids, and silver nitrate were

101

purchased from Sigma-Aldrich (St. Louis, MO USA). Commercial regenerated cellulose

102

ultrafiltration disks (Ultracel) of 30 and 100 kDa molecular weight cut-off (MWCO) were

103

obtained from USA-based EMD Millipore (Jaffrey, NH USA) while benzyl chloride was a

104

German EMD Millipore product (Darmstadt, Germany). Acetone, dichloromethane (DCM), and

105

potassium hydroxide were of Macron Fine Chemicals brand while hexanes, 2-propanol,

106

methanol, nitric acid, and HPLC-grade acetonitrile were of J. T. Baker brand, both from Avantor

107

Performance Materials (Center Valley, PA USA). Magnesium perchlorate hexahydrate was from 5

108

Alfa Aesar (Word Hill, MA USA) while n-butyl acrylate (nBA), 2-hydroxy ethyl acrylate

109

(HEA), and dimethyl sulfoxide (DMSO) came from Alfa Aesar (Heysham, England). Ethanol

110

(EtOH) was purchased from Decon Labs (King of Prussia, PA USA). HPLC-grade

111

tetrahydrofuran (THF) and L(+)-ascorbic acid came from Fisher Scientific (Fair Lawn, NJ USA).

112

Dimethyl formamide (DMF) and 0.45 µm MWCO PTFE syringe filters were purchased from

113

VWR International (Radnor, PA USA). 1,1,3,3-tetramethylguanidine (TMG) was provided by

114

the Tokyo Chemical Industry (Portland, OR USA). Uranyl nitrate was purchased from SPI

115

Supplies, a division of Structure Probe (West Chester, PA USA). Alumina basic and neutral were

116

purchased from Sorbtech (Norcross, GA USA). LR White Resin came from the London Resin

117

Company (Reading, England).

118

Cellulose filter paper was purchased from Whatman International (Maidstone, England).

119

Chemical and organic-solvent resistant rubber and polytetrafluoroethylene sheets, blocks, and

120

other hardware for fabricating specially-designed membrane sealing wafers as well as a dead-end

121

cell were purchased from McMaster-Carr (Princeton, NJ USA). Deionized ultra-filtered (DI)

122

water was prepared through passage in a Milli-Q system with Elix Technology from EMD

123

Millipore and utilized throughout synthesis and experimentation.

Nitrogen was provided by Airgas East (Salem, NH USA).

124

Chemicals and materials were used as purchased, except monomers, Cu(I), and commercial

125

cellulose membranes. Monomers were passed through a basic alumina column to remove

126

inhibitor before usage. Cu(I) was prepared by stirring a suspension of 1 molar equivalent Cu(I)

127

with 2 molar equivalents L(+)-ascorbic acid in DI water for 15 min and filtering out the white

128

product. After thorough, consecutive washing with DI water, glacial acetic acid, and diethyl

129

ether, the product was fully vacuum-dried and stored in a glovebox under nitrogen and darkness

130

until use. Before any modification or testing, commercial membranes were soaked overnight in

131

1:1 2-propanol:DI water on a shake plate to remove glycerol and wet the membrane pores.

132 133

2.2 Production of dense cellulose films

134

Dense cellulose films were produced through long-established methods [32]. Specifically, a

135

dopant consisting of 15 wt% CA, 67 wt% acetone, and 18 wt% nonsolvent (10.5 wt%

136

magnesium perchlorate in water) was prepared by stirring at 70 °C until all polymer was

137

dissolved. The solution was cooled overnight in a refrigerator. The dopant was cast cold via a

138

doctor blade onto chilled glass plates to a thickness of 0.413 mm. Nonsolvent and solvent were 6

139

evaporated off for 1 hr, immersed in an ice bath for 15 minutes to precipitate the polymer, and

140

peeled from the glass. To regenerate cellulose by conversion of acetyl groups to hydroxyl

141

groups, films were set in 0.05 M sodium hydroxide in ethanol for 12 hours and rinsed several

142

times in DI water [33].

143

Cellulose films and commercial membranes were stored in DI water in a refrigerator to

144

prevent bacterial growth and pore or structural collapse. We observed that the pores of wet

145

cellulose membranes collapse when dried from water (Figure S1). Therefore, anytime a cellulose

146

sample was dried, it was first exchanged from water to 2-propanol to hexane.

147 148

2.3 Initiator and crosslinker binding

149

Cellulose films or commercial membranes were cut into circles 2 cm in diameter.

150

Approximately 20 of these samples per initiator and crosslinker binding reaction were patted

151

with lint-free wipes to remove excess water and immediately soaked in THF. Meanwhile, a

152

solution of 40 mL of THF with 1.10 mL TEA was bubbled with nitrogen in a cylindrical jar with

153

septum screw cap for 30 minutes over ice to mitigate evaporation of solvent. Membranes or films

154

were added, and this solution was bubbled an additional 30 minutes. AC as crosslinker and BiBB

155

as initiator were pre-mixed in a separate vial in the proportion of interest, and 1 mL of this

156

solution was added slowly dropwise to the still-bubbling solution submerged in ice water. The

157

formation of a white paste indicated that the reaction was proceeding, as TEA neutralizes the

158

solution by reacting with the released hydrogen ions and halogens to form a precipitant

159

triethylammonium chloride/bromide. Bubbling needles were removed, and the cap was covered

160

in Parafilm and tape to ensure no air seeped within the vessel. The reaction proceeded on a shake

161

plate for 12 hours in a 40 °C oven for full binding (Figure S2). Membranes were consecutively

162

rinsed in fresh baths of THF, acetone, 2-propanol, and DI water on a shake plate at room

163

temperature for 1 h in each solvent.

164 165

2.4 Growth of acrylate polymers through SI-ATRP

166

For the SI-ATRP reactions in this work, a homogeneous ATRP reaction with initiator EBiB

167

was conducted simultaneously in the same vessel as the SI-ATRP reaction. Proportions of

168

reagents were chosen to achieve targeted polymer molecular weights. Table S1 provides some

169

proportions of reagents and reaction conditions with resultant homogeneous polymer sizes and 7

170

dispersities, with tBA and HEA as the monomers. Figure S3 provides rates of butyl acrylate

171

growth when only proportions of Cu(I):Cu(II) are altered while other reagent quantities are held

172

constant.

173

In a typical SI-ATRP reaction, DMF was thoroughly mixed for an hour with ligand

174

PMDETA and Cu(II) within a cylindrical vessel with septum screw cap. Meanwhile, cellulose

175

membrane or film swatches with AC/BiBB bonded were patted with lint free wipes. Depending

176

on the particular studies with these samples, these swatches were either inserted within specially

177

designed sealing wafers to control brush growth location or left unsealed. The use of such a

178

sealing wafer will be further discussed in Section 2.7. Sealed or unsealed samples were set to

179

soak in DMF.

180

Meanwhile, monomer with inhibitor removed was added to the reaction solution before

181

bubbling with nitrogen for 10 min per 10 mL of reaction solution. EBiB initiator was added, and

182

membranes/films were rapidly added through the open cap to ensure minimal incorporation of

183

air. The solution was bubbled an additional 5 minutes per 10 mL of solution. In a small glass

184

vial, Cu(I) was suspended in 1 mL of DMF and rapidly injected into the reaction vessel through

185

the septum top. With nitrogen still purging, the reaction was set to proceed in an oil bath at 70 °C

186

for 45 min.

187

To quench the reaction, membranes were immediately set to soak in fresh DMF for 1h.

188

Meanwhile, to measure relative number average molecular weight (Mn), weight average

189

molecular weight (Mw), and dispersity index (Ð), a couple drops of the homogeneous reaction

190

solution were mixed with 2 mL of THF and filtered through neutral alumina. This filtered

191

solution was run through a SEC column (EcoSEC HLC-8320GPC, Tosoh Bioscience, Tokyo,

192

Japan) with THF mobile phase and polystyrene (PS) stationary phase using PS standards for

193

calibration. Resultant peaks were analyzed with equipment-provided software (EcoSEC

194

Analysis). Membranes or films were further rinsed sequentially in fresh DMF, acetone, 2-

195

propanol, and finally DI water baths on a shake plate for a half hour each and stored in DI water

196

in a refrigerator.

197 198

2.5 Polymer growth rate determination

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Heterogeneous polymer growth rate was compared to homogeneous through direct cleavage

200

of poly(tert-butyl acrylate) (PtBA) brushes. Larger quantities of samples were used to have 8

201

enough polymer sample to be detectable in the SEC column. In glass vials, ~9 cm2 of film with

202

PtBA brushes were submerged overnight in 2 mL of 5 vol% potassium hydroxide in water to

203

hydrolyze ester bonds and cleave off the brush layers. This produced cleaved polyacrylic acid

204

(PAA) chains, which were incompatible with the SEC column. Thus, PAA was esterified into

205

poly(benzyl acrylate) (PBzA) through a modified version of a previously-described method [34].

206

In this method, the basic solution with cleaved chains was neutralized with hydrochloric acid,

207

and ~1.5 mL of water were evaporated off to reduce the presence of water but ensure polymer

208

was not trapped in dry salt matrices. To this, 2 mL of DMSO, 126 µL of TMG, and 172 µL of

209

benzyl chloride were added. The reaction proceeded at least 10 h on a shake plate at room

210

temperature. Upon completion, the solution was neutralized with 114 µL acetic acid. The

211

polymer was precipitated in excess of 50:50 % MeOH:water solution and recovered by vacuum

212

filtration. The polymer was rinsed twice with MeOH and thoroughly dried at 40°C. In

213

preparation for SEC, the polymer was re-dissolved in 2 mL of THF and filtered through neutral

214

alumina.

215

polymer and converted polymer was prepared (Figure S4). For this calibration, homogeneously-

216

grown PtBA was measured in SEC, cleaved into PAA, converted into PBzA through the method

217

described above, and rerun through SEC.

Because PBzA was produced as opposed to PtBA, a calibration between grown

218 219

2.6 Brush density determination

220

A method was developed in our group whereby silver ions were used to quantify the density

221

of carboxyl functional groups in polyamide reverse-osmosis membranes, during which 1:1

222

coordination of carboxyl groups with silver ions and complete elution of silver were verified

223

[37]. Here, we applied this silver bind-and-elute technique to determine the density of polymer

224

chains on a surface. In general, we produced grafted chains with one carboxyl group per repeat

225

unit, i.e., PAA, and quantified the carboxyl density using the silver ion probe method. The brush

226

length was determined through the direct cleavage methods described in the previous section.

227

Subsequently, brush surface density σ was determined through

228

=

,

[1]

229

where Ns is the total number of eluted silver probes (CS,EVE, or the concentration of silver eluted

230

from brush-layer carboxyl groups multiplied by the solution volume), Mn is the measured chain 9

231

molecular weight, Mn,R is the repeat unit molecular weight, and Ap is the apparent area of the

232

dense film subjected to the polymerization reaction. CS,E was determined from the silver

233

concentration measured in the elution solution minus the average concentration of silver eluted

234

from three blanks. Blanks were samples with only AC/BiBB bonded to account for binding of

235

silver on the cellulose and any residual acyl chlorides that would convert to carboxyl groups in

236

water.

237

More specifically, AC:BiBB ratios were varied to control brush density on dense cellulose

238

films. Because negatively-charged polymers cannot be grown in traditional ATRP reactions due

239

to unwanted interactions with charged metal activators/deactivators, PtBA chains were grown

240

and selectively cleaved at their tert-butyl ester bonds to produce carboxyl sidechains through a 6

241

h reaction on shake plate in 12 vol% trifluoroacetic acid (TFA) in DCM, a commonly used

242

deprotection system [38]. The same reaction conditions resulted in ~99% hydrolysis of tert-butyl

243

ester bonds for PtBA in bulk solution after 6 h of reaction time, verified through proton nuclear

244

magnetic resonance (1H-NMR) analysis (Agilent DD2 400 MHz NMR Spectrometer) (Figure

245

S5). After cleavage, films were rinsed in fresh DCM, water, and finally acetone before fully

246

drying.

247

For silver binding and elution, the method described elsewhere was used [37], with silver

248

solutions set to pH 10. Because the silver elution solution of 1% nitric acid in water removes

249

bound ions but also potentially cleaves the ester bonds between chains and support, repeated

250

silver binding and elution could not be conducted multiple times on each sample. Elution

251

solutions were run through ICP-MS (ELAN DRC-e, Perkin Elmer, Waltham, MA) to determine

252

silver concentration. Serially-diluted solutions of 0-100 µg L-1 silver nitrate in 1% nitric acid in

253

water were used to produce a calibration curve, while 40 µg L-1 indium nitrate was used as an

254

internal standard. The full method is represented in Figure 1.

255

10

256 257

Figure 1. Methodology for determining brush density. After binding initiator, poly(tert-butyl acrylate)

258

chains are grown from the support layer via surface-initiated atom transfer radical polymerization (SI-

259

ATRP). Ester bonds connected to tert-butyl sidechains are selectively cleaved into carboxyl groups in

260

dichloromethane with 12% trifluoroacetic acid. Positively-charged silver ions electrostatically bind to

261

deprotonated carboxyl groups in basic conditions. In a set volume of 1% nitric acid in water, bound silver

262

is eluted, and its concentration is measured in inductively coupled mass spectrometry. After cleaving and

263

directly measuring brush molecular weight, brush density can be determined with Equation 1.

264

2.7 Brush location control and verification

265

A special sealing wafer was designed to fit within the opening of the septum-capped jar to

266

ensure a controlled, oxygen-free reaction environment. This frame was crafted from solvent-

267

stable, high-density materials and consisted of laser-cut rubber and polytetrafluoroethylene rings

268

and disks, sandwiched together with polytetrafluoroethylene screws and nuts (McMaster Carr)

269

(Figure 2).

270

Utilizing STEM-EDX, we developed a more direct, semi-quantitative method of determining

271

growth location than typically employed. However, the brush layers in our study are not

272

elementally distinctive enough to distinguish from the cellulosic support. Therefore, PtBA chains

273

grafted-from films and membranes, with and without the use of a sealing wafer, were selectively

274

hydrolyzed to PAA, as described in Section 2.6. To enhance elemental contrast, depleted 11

275

uranium from uranyl nitrate was bonded to the carboxyl groups of the PAA layer using a

276

previously described procedure [40].

277

Small wedges were embedded in the water-miscible acrylic resin LR White as previously

278

reported [41]. After curing at 65 °C for 24 hours, 90-nm-thick cross-sections were sliced with a

279

diamond knife (2.5 mm Ultra 45°, Diatome) using a Leica Ultramicrotome UC7 (Leica

280

Microsystems) and mounted onto carbon/formvar coated copper grids (Carbon Type-B, Ted

281

Pella). Dark-field images and STEM-EDX elemental mapping were obtained at 14000x

282

magnification using an FEI Tecnai Osiris 200kV S/TEM with 0.25 nm point resolution. Uranium

283

maps were each produced with 3 minutes of scan time. To identify elemental spectra and the

284

relative abundance of uranium, targeted EDX measurements were taken at sample points

285

throughout the thickness of the membranes and films using 1 minute of sample time.

286

287 288

Figure 2. Methodology to control location of brush growth. a) Components of a sealing wafer that fits

289

within a septum-capped vessel for controlled atmospheric conditions. The top (skin) surface of an

290

asymmetric membrane can be exposed to the reaction solution so chains grow predominantly on the top

291

surface. The relatively small pores of the porous membrane prevent easy access of reactants to the

292

membrane interior. b) Photographs of the sealing wafer, showing exposed membrane on the ring side and

293

the sealed-off side of the membrane on the disk side.

294

12

295

2.8 Film and membrane characterization

296

General characterization of bare and modified cellulose membranes included SEM imaging,

297

water contact angles, water permeability, and roughness. To ensure production of dense films

298

rather than membranes, top and bottom surface morphology of cast films and membranes for

299

comparison were sputter coated with 5 nm of iridium (BTT-IV Evaporator, Denton Vacuum,

300

LLC) and examined by scanning electron microscopy (SEM, Hitachi SU-70). For comparison,

301

films and hand-cast membranes were formed, although only films were used in experiments.

302

Membranes were formed by immersion precipitation without any solvent evaporation time.

303

Conveniently, cellulose samples with pores, confirmed via scanning electron microscopy,

304

appeared white to the naked eye once dried, while dense films appeared clear (Figure S1).

305

For static fluid contact angle testing, samples were taped to microscope slides with double-

306

sided tape. Contact angles for DI water were measured via sessile drop method with a contact

307

angle goniometer (OneAttension, Biolin) by photographing the sideview of a 1 µL droplet sitting

308

on the surface every ~0.16 s with digital camera for 10 s total post drop placement. Left and

309

right-side contact angles were measured in processing software (OneAttension software), and the

310

measurements of three drops per sample type were averaged together.

311

FTIR measurements were taken with an FTIR/Raman Thermo Nicolet 6700 with commercial

312

bare and modified membrane top surfaces pressed firmly against a diamond attenuated total

313

reflection cell. Before measurement, samples were exchanged through solvent and dried for 24 h

314

in a vacuum oven at 40 °C to remove any water and solvent. Blank readings comprised 4 scans

315

while 32 scans were taken for samples. Samples were measured twice on two different locations

316

to ensure consistent reading.

317

Film roughness was characterized in air with atomic force microscopy (AFM, Dimension

318

FastScan, Bruker) using PeakForce Tapping mode and a silicon-tipped nitride lever probe

319

(FASTSCAN-B, Bruker). Sections of 1 µm2 were scanned at a rate of 2.90 Hz with 496 samples

320

per line and 512 histogram bins. In data analysis software (NanoScope Analysis 1.9, Bruker),

321

root-mean-square roughness, Rq, and maximum roughness, Rmax, of each were determined. Four

322

scans at different locations of each surface type were averaged for the reported value.

323

Water permeability was measured with a specially-made, rubber-bodied dead-end cell for

324

higher pressures (maximum of 14 bar) and relatively small sample sizes, with a 7-mm diameter

325

exit orifice and a 30-mL chamber. Permeability testing was conducted at 2.07 bar (30 psi) for 13

326

membranes without brushes and 6.89 bar (100 psi) for membranes with brushes. For loose

327

membranes (i.e. permeability exceeded 100 Lm-2h-1bar-1), permeability was tracked continuously

328

and recorded once steady state was reached. For tight membranes, the system was allowed to

329

compress overnight before permeate was collected for 48 h. Water permeabilities of 3-4 samples

330

were averaged.

331 332

2.9 Solute transport rate and rejection

333

To demonstrate how brush layers with varying hydrophobicity affect solute transport rates, a

334

variety of solutes with varying octanol/water partition coefficients were allowed to diffuse

335

through bare and modified commercial 30 kDa MWCO membranes. Two aqueous solutions (pH

336

6.0 ± 0.2) were prepared, one containing the three organic solutes—L-asparagine, hydroquinone,

337

and thymol— at 0.13 mM each and another containing sodium chloride at 0.20 mM.

338

Concentrations were chosen to eliminate osmotic pressure effects during experimentation and

339

ensure the full dissolution of the most hydrophobic solute utilized, thymol.

340

A membrane sample was pinch-clamped at the flat-ground joint of an unjacketed Valia-

341

Chien diffusion cell with a 7 mm orifice and 10 mL chambers with stir bars (PermeGear). The

342

chamber facing the active membrane layer was loaded with solution containing organic solutes

343

while the opposite chamber contained the saline solution. To come to diffusive steady-state, the

344

system sat stirring for 2 h for samples without brushes and 4 h for those with brushes before

345

taking initial samples. Final solution samples were taken after ~10 h for brush-free swatches and

346

~20 h for brush-covered swatches. These time points were selected after preliminary studies with

347

each membrane type in which concentration changes were measured more continuously to

348

determine when a linear increase in concentration was reached and when concentration changes

349

of all solutes significantly overcame measurement error. Transport rate was calculated as the

350

change in total species (molar concentration multiplied by cell volume) per time per membrane

351

area. Four samples of each membrane type were tested.

352

Organic solute concentrations in the saline side of the chamber were determined through

353

high-performance liquid chromatography (HPLC, 1260 Infinity LC System, Agilent

354

Technologies) with mobile phase consisting of 40% acetonitrile and 60% of 0.1% phosphoric

355

acid in water. Calibration curves were developed prior to diffusion experiments, pinpointing

356

retention time and detection wavelength, and data was analyzed with curve integration software 14

357

(OpenLAB CDS EZChrom Edition, Agilent Technologies). A conductivity probe (Con 2700,

358

Oaklon) was used to measure conductivity of the solution on the organic side and compute

359

sodium chloride concentration from conductivity-derived calibration curves.

360

Rejection studies were conducted in the same custom dead-end cell used for water

361

permeability testing, with an added stir bar. Sodium chloride and lysozyme solutions, run

362

separately, were 20 mM and 35 µM, respectively. As in water permeability tests, hydraulic

363

driving pressures of 2.07 bar (30 psi) and 6.89 bar (100 psi) were used for membranes without

364

and with brush layers, respectively. At least 8 mL of permeate were collected for a more accurate

365

representation of observed rejection, calculated through = 1−

366

[2]

367

where Cp is the concentration in the permeate and CF is the concentration in the feed. In the case

368

of high rejection, as with rejection of lysozyme by brush-layered membranes, CF was

369

approximated as the average of the initial feed concentration and the final retentate

370

concentration. Lysozyme concentration was determined by measuring total organic carbon

371

concentration (Shimadzu TOC Analyzer) while a conductivity probe was again used for sodium

372

chloride concentration.

373

3. Results and Discussion

374

3.1 Crosslinker maintains support-layer stability while tailoring brush density

375

A cellulosic support was chosen for growing SI-ATRP-produced brush layers because it

376

provides a high density of hydroxyl groups for bonding initiator in a relatively straightforward

377

manner. However, these hydroxyl groups are also responsible for the hydrogen bonds that render

378

cellulose as highly solvent stable. Thus, we hypothesized that without the addition of a

379

crosslinker during initiator binding, cellulose would lose stability as hydroxyl groups would be

380

fully occupied by initiator BiBB (Figure 3a,c). For a more insightful comparison on how the

381

proportion of crosslinker versus initiator affects brush density, the mole percentage of acyl

382

halides attributed to AC versus BiBB was used during analyses instead of volumetric or molar

383

portions of the reagents. Acyl halides are the functional groups at which these molecules esterify

384

with cellulose hydroxyl groups. Every crosslinker provided two acyl halides while every initiator

385

provided one. Thus, for instance, 25:75 vol% AC:BiBB at room temperature would be defined as

386

36:64 mol% AC:BiBB acyl halides. Note that these percentages refer only to those in the binding 15

387

solution and not to the final bonded AC:BiBB on the membrane as differing steric hindrances

388

and reactivities are sure to influence final proportions.

389 390

Figure 3. Stabilization of cellulose support membrane and simultaneous control of brush density. a)

391

Cellulose structure containing an abundance of hydroxyl groups, which hydrogen-bond in the presence of

392

harsh organic solvents, stabilizing this polymer in typical ATRP environments. b) SI-ATRP initiator α-

393

bromoisobutyryl bromide (BiBB) and crosslinker adipoyl chloride (AC) to be bonded to the cellulose

394

support membrane through an esterification reaction. c) The occupation of all hydroxyl groups with

395

initiator α-bromoisobutyryl bromide. Hydrogen bonds are eliminated, decreasing stability in organic

396

solvents. d) Hypothetical configuration of cellulose when AC as crosslinker is incorporated. By changing

397

the ratio of AC:BiBB, the support membrane can be stabilized and the brush density can be

398

simultaneously controlled within a certain range. Note that this is just an illustration and does not

399

represent exact bonding patterns.

400

As predicted, crosslinker was necessary to stabilize cellulose, evident in both

401

permeability testing on membranes and brush density determination on films (Figure 4). One can

402

expect that water permeability will diminish as a hydrophobic PtBA brush is grown on the

403

surface of a porous support. Indeed, in cases where BiBB acyl halide content was less than or 16

404

equal to 55%, with the remaining acyl halides attributed to crosslinker, permeability with the

405

addition of PtBA brushes is below that of the bare membranes (Figures 4a-b). However, at 64

406

mol% BiBB acyl halides, permeabilities for several membrane samples far exceeded that of the

407

bare membrane for both 30 kDa MWCO (Figure 4a) and 100 kDa MWCO membranes (Figure

408

4b) with PtBA brush. This suggests that too many stabilizing hydroxyl groups were occupied by

409

initiator, leading to membrane instability. As the membrane is exposed to DMF during SI-ATRP,

410

cellulose with depleted hydroxyl content is more easily dissolved.

411

In many studies, brush density, or the number of chains per unit surface area, has been

412

estimated by measuring dry brush layer thickness via ellipsometry on a harder substrate [18, 42]

413

or degree of polymerization [24]. These methods typically necessitate the growth of a relatively

414

long brush to overcome detection limits. Furthermore, in order to calculate brush density, the

415

heterogeneous polymer length (i.e., on the surface) is assumed to equal homogeneous length

416

(i.e., in solution). For optimization of a brush-layered membrane technology, an alternative, more

417

sensitive method to measure brush density may be helpful.

418

We directly measured the brush density by first binding-and-eluting silver ions to PAA

419

brush layers grown from dense cellulose films, thereby quantifying the total number of

420

carboxylic acid groups on the film surface. Chain length (~4 kg mol-1) was then measured by

421

SEC for equivalent samples following cleavage of the polymer brush from the surface. The

422

combination of the two methods allowed for direct measurement of brush density, as described

423

in Section 2.6. Using this method, we found that the crosslinker used for stabilization

424

simultaneously controlled brush density. We observed a reasonable positive trend between brush

425

density and initiator content used during AC/BiBB bonding (Figure 4c). However, at 64 mol%

426

BiBB acyl halides, brush density drastically dropped, again suggesting instability at this initiator

427

density as both cellulose and attached brush dissolve in the ATRP solvent. The maximum BiBB

428

acyl halide content that maintained membrane stability was 55 mol%, with a maximum observed

429

brush density of 1.70 ± 0.34 chains nm-2.

430

To evaluate the reasonableness of these observed densities, we compared our measured

431

density to the theoretical maximum brush density. Using atomic bromine percentages read from

432

x-ray photo electron spectroscopy (XPS) and hypothetically assuming that all bonded initiator

433

actually produces a polymer chain without inducing membrane instability, we can expect a

434

maximum of 7.0 chain nm-2 (see Section S1 and Figures S2, S6). If we assume that acyl halides 17

435

of both crosslinker and initiator have an equal probability of bonding, the use of 16, 23, 37, and

436

55 mol% BiBB acyl halides would produce around 1.13, 1.62, 2.61, and 3.88 chains nm-2,

437

respectively.

438

For all densities, we observed fewer brushes than theoretical (Figure S6). When

439

considering individual acyl halide groups, the slightly higher reactivity of acyl bromides over

440

acyl chlorides, based on bromine’s higher propensity to leave due to a lower halide-carbon bond

441

energy of 285 versus chlorine’s 327 kJ mol-1 [43], would tend to skew theoretical maximum in

442

the opposite direction (i.e., observed density would exceed our calculated maximum that

443

assumed equal acyl halide reactivity). However, it is possible that the presence of two acyl

444

chloride groups per one adipoyl chloride molecule could further enhance acyl chloride reaction

445

rates. That is, following reaction of the first acyl chloride, the second acyl chloride reacts soon

446

after owing to the proximity of neighboring hydroxyl groups on the surface of cellulose film.

447

Steric hindrance is likely another limiting factor. We observed a relatively high discrepancy

448

between theoretical and observed brush density at higher proportions of initiator, as crowded,

449

growing brushes would reduce effective brush density. Due to a combination of the above

450

effects, the discrepancy between theoretical and observed brush densities was non-linear. The

451

lowest discrepancy occurred at an intermediate initiator density (~30 mol% BiBB acyl halides).

452

Several previous studies with poly(methyl methacrylate) chains of much larger molecular

453

weights (i.e. 10-100 kg mol-1), grown on silicon wafers, all reported lower maximum brush

454

densities of 0.3-0.8 chains nm-2 [18-23]. However, by using brush thickness determined from

455

ellipsometry and assuming equal lengths for chains produced in bulk and on the surface, these

456

studies did not take into account dispersity and the possibility of divergent polymer populations

457

when calculating density. In our study, the density was also possibly measured as higher than

458

actual due to a few effects, but none of them account for the magnitude of the difference. First,

459

the surface roughness of the film increases the surface area for binding. However, from AFM

460

images using NanoScope Analysis software, we found that the actual surface area was only 6%

461

greater than the projected area and thus cannot fully explain the discrepancy. Second, our use of

462

PS standards in the SEC column may introduce a systematic error in measuring molecular

463

weights of acrylates. However, based on intrinsic viscosities of the relevant polymers, the error is

464

expected to be minimal (see Section S3 and Figure S7). The final possible source of error is that

465

trace quantities of free PtBA adsorbed within the film polymer matrix, to which silver was 18

466

electrostatically attracted after PtBA hydrolysis into PAA (see Section 3.2). While this

467

adsorption was likely minimal due to extensive rinsing, trace internally-bonded silver could

468

increase total eluted silver given a thick enough film. In the absence of polymer brushes, silver

469

binding was minimal (typically 1-2 orders of magnitude less than for brush-containing samples),

470

as determined for unmodified cellulose membranes and initiator/crosslinker-modified cellulose

471

membranes.

472

19

473

Figure 4. Observed control of support layer stability and brush density through competitive binding of

474

crosslinker and initiator. Verification of membrane stability by testing pure water permeability for a) 30

475

kDa MWCO and b) 100 kDa MWCO commercial cellulose membranes, subjected to initiator/crosslinker

476

(AC/BiBB) binding solutions of various BiBB content (as mol% of acyl halide groups) and different

477

lengths of grafted poly(tert-butyl acrylate) (PtBA) chains. For (a-b), the surface polymer length was

478

assumed to match that of a homogeneous reaction occurring simultaneously in the same environment.

479

Each data point represents an individual membrane sample. Water permeabilities below that of the bare

480

membrane (gray dashed lines) suggest membrane chemical stability in harsh organic solvents while

481

increased permeability suggests instability. c) Brush density on dense cellulose films resulting after

482

reaction with AC/BiBB solutions with varying BiBB content. The average of four samples with standard

483

deviation are presented for each data point. Note that BiBB contributes one acyl halide per molecule

484

while the crosslinker AC contributes two. Acyl halides are the functional groups at which these molecules

485

esterify with cellulose hydroxyl groups.

486

3.2 SI-ATRP growth behavior from a nonideal substrate

487

Simultaneous homogeneous reactions of polymer conducted in the same environment as the

488

heterogenous, surface-initiated polymerizations have frequently been used as indicators for

489

relative dispersity and growth rates. Measuring polymers from the bulk reaction is preferential

490

since they may be run through a size-exclusion chromatography (SEC) column while the product

491

consisting of substrate with tethered brush is left intact. There have been claims that a

492

simultaneous homogenous polymerization results in similar polymer length with comparable

493

dispersity index as the heterogeneous reaction [27, 42, 44-46]. To investigate such claims,

494

spherical nanoparticles have previously been employed since they maximize surface to volume

495

ratio, producing sufficiently large polymer populations for cleavage and direct measurement in a

496

SEC column [47]. Growth on nanoparticles has been shown to be similar to the homogeneous

497

reaction. However, the positive curvature of spherical particles means intertwining chains and

498

radical-crowding reduce as growth progresses [18].

499

Most comparisons of SI-ATRP on planar surfaces using direct cleavage of brushes have been

500

performed on smooth gold substrates rather than nonideal, relatively rough surfaces [48-50].

501

However, it is evident that topology of a substrate influences growth rate and dispersity.

502

Simulations of polymer growth on concave topologies like channels (pores) and inside spheres

503

have revealed that grafted polymer chains under higher physical confinement grow slower than

504

polymers in homogeneous reactions, even when radical-radical termination was not considered 20

505

[31]. Several empirical studies have reported that SI-ATRP conducted on flat surfaces is slower

506

than in the bulk [24-27], while some others have reported faster surface growth [28-30]. Two

507

schools of thought have formed that may explain slower growth observations: (1) “School of

508

Propagation” posits that crowding of chains causes radical burying, inducing a premature glassy

509

state; and (2) “School of Termination” posits that radical ends easily terminate each other when

510

initiators are forced into alignment on a plane [47]. Because the theoretical proportion of

511

activated radical ends at any one time is so low compared to dormant ends, or [P•]/[PX] = 10−4 to

512

10−6, the distance between them renders the “School of Termination” implausible by many

513

scientists [51]. However, with mixed results of growth phenomena that cannot be fully explained

514

by either school of thought [52], it was proposed that there is an induced rapid “hopping” of

515

radicals across the plane of aligned initiator ends, which could increase the chances of radical-

516

radical interactions and termination [51, 53] or increase growth rate depending on brush density

517

and exactly how “hopping” and termination mechanisms work.

518

In summary, literature results suggest that chains on convex surfaces grow similarly to in the

519

bulk. In contrast, concave and flat surfaces present ample opportunity for entanglement and

520

radical-radical interactions to slow growth and increase dispersity. Because topology has such an

521

apparent effect on growth behavior, we characterized our cellulose films in AFM in order to

522

identify under what category of surface morphology they fell. Cellulose films were used instead

523

of membranes to eliminate the complicated and inconsistent effects of asymmetric, polydisperse

524

pores. Our dry cellulose films exhibited a root-mean-square roughness Rq of 8.5 ± 2.3 nm and a

525

maximum roughness Rmax of 73.1 ± 20.5 nm (Figure 5a). Thus, the film topological peaks and

526

valleys possess considerable height difference on the nanoscale, especially when considering that

527

grafted polymeric chains produced in this study are only from 4–30 kg mol-1. Free-floating

528

polymers of the same composition have a radius of gyration of only 5–15 nm in good solvent

529

(tetrahydrofuran) at room temperature [54], which is comparable to the scale of roughness of the

530

cellulose film, although we can expect some stretching of crowded, densely-grafted chains.

531

Roughness of bare cellulose is evident in the Peak Force Error images that produce a more

532

visually comprehensible contour map while Height Sensor readings layout exact depths (Figure

533

5a). With a PtBA brush size of Mn ~ 4 kg mol-1, roughness somewhat decreases, with a Rq of 7.6

534

± 0.7 nm and a Rmax of 64.2 ± 10.0 nm (Figure S8).

21

535

A final factor for growth rate concerns initiator density. Intuitively, it makes sense that for

536

any ATRP reaction, whether surface-initiated or homogeneous, the more initiator there is for a

537

given amount of monomer and set ratio of activating to deactivating metal/ligand complexes, the

538

slower the chain growth occurs, as a set amount of monomer must be distributed amongst more

539

growing polymer chains. We indeed observed that homogeneous reactions with more initiator

540

would grow slower and reach shorter final lengths than reactions with less EBiB (Table S1).

541

Several studies utilizing direct brush cleavage, including a couple performed on polymeric

542

supports, found that initiator density can affect heterogeneous growth rates [28, 30, 49, 50].

543

Previously in molecular dynamics simulations, it was shown that whether heterogeneous

544

reactions grow similarly to or slower than a simultaneous homogeneous reaction primarily

545

depends on surface initiator density, even without factoring in termination reactions and chain

546

entanglement. That is, regions of higher local initiator density decreased the probability of each

547

chain to collide with reagents as crowded halogens competed with one another for a local supply

548

of a set amount of reagents [55].

549

From direct cleavage of brushes at various stages of growth, we empirically demonstrate—

550

for the first time—that both faster and slower surface growth accurately describe behavior on a

551

planar but nonideal (i.e. relatively rough) surface depending on the time-point of sampling. Four

552

distinct phases of growth occurred (Figure 5b,c). Considering previous empirical and modelling

553

findings on SI-ATRP growth behavior, we propose the following explanations for our growth

554

observations, keeping in mind three main factors dictating growth rates: 1) hopping of radicals,

555

2) entanglement and burying of chain ends, and 3) local initiator/radical density.

22

556 557

Figure 5. Growth behavior of brushes on nonideal topology. a) Characterization of dense cellulose film

558

topology through atomic force microscopy (AFM). Root-mean-square (Rq), maximum roughness (Rmax),

559

and both height sensor and peak force error 2D images are presented. b) Growth of homogeneous PtBA

560

chains in bulk solution compared to simultaneously-grown brushes on dense cellulose films. Brushes

561

were cleaved in highly basic conditions, esterified into benzyl acrylate, and run directly through a size-

562

exclusion chromatography (SEC) column with polystyrene stationary phase and tetrahydrofuran mobile

563

phase. c) Illustration of four distinct phases of SI-ATRP growth on a nonideal surface, coordinated with 23

564

phase colors and number labels in (b). Chain-end spheres represent radicals while x’s are dormant,

565

halogen-capped ends. d) Homogeneous SEC traces and e) sample heterogeneous SEC traces with colors

566

corresponding to homogeneous population molecular weight, with homogeneous Mn in the legend. The

567

heterogeneous population at 15 kg mol-1 homogeneous molecular weight is a sample from right before

568

population divergence, while the double population at 16 kg mol-1 is right after divergence. The blank,

569

which is only represented in (e), consists of a film with just crosslinker and initiator bonded, subjected to

570

all cleavage and conversion reactions. Beyond a time of 8.75 min in the column, other molecules like

571

cleaved crosslinker and reagents involved in conversions are detected. Polymer populations could not be

572

detected below ~3.5 kg mol-1 due to the presence of these residual molecules. Notice that homogeneous

573

signal is orders of magnitude larger than the achieved traces of heterogeneous populations. To increase

574

heterogeneous signal, a much larger dense film surface area would be needed.

575 576

In phase 1, growth on the surface appears similar to the homogeneous rate in the bulk

577

solution, although this conclusion relies mostly on the initial data point. Direct measurements of

578

molar mass below ~3.5 kg mol-1 were not possible due to the limited amount of cleaved polymer

579

and the presence of other residual molecules (Figure 5e). However, if phase 1 truly represents

580

similar homogeneous and heterogeneous growth rate, there are possibly two competing factors

581

during this phase, whereby the alignment of initiator points induces rapid radical hopping along

582

this plane while the effectively denser initiator on the surface keeps growth slower per polymer

583

chain than in the bulk. In phase 2 at around 4 kg mol-1, the chains seem to reach a critical length

584

where intertwining can occur, diminishing radical alignment and increasing radical burying.

585

Reagents approaching these tangled chains are likely consumed by the bulk (homogeneous)

586

reaction. Therefore, growth slowed to a near standstill. In phase 3, some chains have had enough

587

time to escape entanglement, producing a longer population. We hypothesize that these chains

588

are located at the peaks of convex features, where less spatial crowding occurs, while chains

589

within concave features are more likely to stay entangled. The apparent rapid growth of the

590

longer population could be explained by the hopping of radical ends because the chains are long

591

enough and free enough to sway and contact one another. Additionally, at a now effectively

592

lower halogen density along this plane, hopping radicals in the longer population no longer

593

compete with rapid monomer depletion, inducing rapid growth. In phase 4, both long and short

594

populations are now at effectively lower initiator concentrations with diminished alignment due

595

to increased radii of gyration. Thus, these populations have the same monomer depletion rate and 24

596

probability of radical hopping as the bulk solution and grow at a similar rate. Because the lower

597

population begins to show observable growth, we believe little to no termination occurred during

598

the slowed growth in phase 2.

599

Neither stir rates nor brush density within the ranges considered affected growth (Figure S9).

600

These observations suggest that Brownian motion modulates reagent collision rate more than

601

convection and that effective brush density for various populations is self-regulated for a given

602

nonideal surface. Although longer chains are likely located on convex regions while shorter ones

603

are within concave regions, it is even possible that divergence of populations could occur on

604

ideal, ultra-smooth flat surfaces because it is currently unclear if the entrapment that produces a

605

shorter population is spatially coordinated with concave regions or just statistically random. As

606

mentioned in Section 3.1, the observed smaller, highly-consistent brush densities of much longer

607

brushes, calculated through ellipsometry with the assumption that brush lengths equal that of

608

homogenous chains, support the idea of a self-regulated, effective brush density, even on ultra-

609

smooth supports. Our observed growth behaviors help explain discrepancies in previous SI-

610

ATRP studies as well as possibly bolster some prior phenomena observed in both empirical and

611

model studies. In our proposed mechanisms, we have uniquely stressed the influence of local

612

initiator density coupled with hopping of radicals across aligned initiator points.

613 614

3.3 Control and determination of brush location

615

In order to produce a desired active layer, SI-ATRP must be directed to certain locations on

616

the membrane substrate, namely top-surface only or within pores. Prior to this study, such

617

control has not been well achieved and verified. Recently, a method of utilizing a viscous pore-

618

filling solvent during initiator binding was developed to putatively prevent SI-ATRP polymer

619

brushes from growing inside the pores of ultrafiltration cellulose membranes [17]. Pore filling

620

was performed before initiator binding so poly(2-hydroxyethyl methacrylate) chains would

621

ideally only grow on the top surface. Highly viscous glycerol worked most effectively. However,

622

the only means of confirming brush location was based on preserved permeability and MWCO,

623

which could have resulted from several other factors. When filling cellulose pores with an

624

especially viscous liquid that also contains hydroxyl groups, it is very difficult to control where

625

this liquid goes. We have seen in SEM that glycerol-filled membranes are covered in glycerol,

626

which would reduce overall growth of tethered polymers. Additionally, glycerol’s hydroxyl 25

627

groups would also bind to the initiator through esterification, reducing the effective

628

concentration of initiator and subsequently its bonding density. Finally, initiator binding was

629

only performed for a minute at room temperature to minimize the time for glycerol to diffuse

630

into the bulk solution and to be consumed by reaction with the initiator. We have seen through

631

XPS analysis that initiator binding is not instantaneous, with full binding not reached until

632

around 12 h of reaction at 35 °C (Figure S2).

633

We hypothesized that with asymmetric membranes, steric hindrance of reagents in ATRP

634

reactions can be exploited to control location of brush growth on membranes. The top surface of

635

a commercial asymmetric cellulose with much smaller pores than the bottom can be directly

636

contacted with the reaction solution while the bottom is sealed-off in a specially-designed sealing

637

wafer. Growth was predicted to occur throughout the pores without use of the sealing wafer.

638

Following PtBA brush synthesis on commercial membranes of 30 and 100 kDa MWCO, with

639

and without the use of our sealing wafer, we first examined permeability as an indirect indicator

640

for brush location. However, we observed that membranes subjected to growth without the use of

641

a sealing wafer simply showed more variable permeability, averaging to a slightly higher

642

permeability than membranes produced with a sealing wafer but with large error bars, resulting

643

in an insignificant difference (Figure S10). Next, we speculated that if we cleaved PtBA chains

644

into PAA and stained the membranes by electrostatic attraction of uranium ions with carboxyl

645

groups, we could use STEM-EDX to visually map locations where uranium and thus also

646

brushes were present (Figure 6b, d, f, and h). Through this more direct yet qualitative method, it

647

initially appeared that growth location was not controlled at all, because samples produced with

648

the usage of the sealing wafer (Figure 6b, d) and without (Figure 6f) had uranium detected across

649

the entire depth of the membrane. Controls of bare cellulose membranes and membranes with

650

crosslinker and initiator were soaked in the trifluoroacetic acid solution used for t-butyl ester

651

cleavage and uranium staining solution to ensure these procedures did not incidentally cleave

652

other areas of the membrane and produce carboxyl groups. These samples both read as having

653

effectively no uranium (Figure 6h). It became apparent that visual mapping typically indicates

654

areas where uranium is present but does not clearly depict the quantity of uranium.

655 656 657 26

658 659

Figure 6. Visual analysis of brush location control from use of a specially-designed sealing wafer. For

660

brush detection, ~4 kg mol PtBA brushes were hydrolyzed to PAA, followed by binding of uranyl ions.

661

(a-d) Cross-sectional images in STEM-mode of a 30 kDa MWCO commercial cellulose membrane with

662

PAA brush produced using a sealing wafer, showing a) dark field mode and b) EDX mapping of uranium

663

of the top-surface sideview as well as c) dark field mode and d) EDX mapping of uranium of the bottom-

664

surface sideview. (e-f) Cross-sectional images in STEM-mode of a 30 kDa MWCO commercial cellulose

-1

27

665

membrane with PAA brush produced without using a sealing wafer, showing e) dark field mode and f)

666

EDX mapping of uranium of the bottom-surface sideview. g) STEM-mode, dark field cross-sectional

667

image of the top surface sideview of a dense cellulose film with PAA brush. Images (a-g) are taken at 14

668

kx magnification. Note that at select positions of targeted EDX, a white spot typically appears from the

669

burning of the TEM beam. Uranium visual maps were produced after 3 minutes of scan time. h) Typical

670

uranium mapping for samples that read as not having any uranium, even in targeted EDX sampling. Here,

671

the reading is from a bare cellulose membrane after being subjected to the tert-butyl ester bond cleavage

672

solution and uranium staining procedure.

673

Targeted EDX was next used to measure relative counts of uranium throughout the thickness

674

of the membrane, producing further insight on location control (Figure 7a). Some EDX sample

675

points are apparent as bright white spots in the dark-field images, where the beam has etched the

676

material (Figure 6a, c, e, and g). For all reported interior points except film measurements, we

677

targeted surfaces of the membrane and pore walls as opposed to cut areas within the membrane

678

polymer for better readings of brush growth on surfaces rather than monomer diffusion into the

679

cellulose. On membranes, 0 µm is at the top surface while 30 µm is the absolute back surface

680

laying against the woven backing. The thickness of the hand-cast film far-exceeded the

681

commercial membrane and had both sides exposed during SI-ATRP. Thus, we present as a

682

control only some sample points from the film.

683

For fair comparison, all samples with brushes were synthesized in the same reaction vessel at

684

the same time, producing chains on the film of ~4 kg mol-1. The two blank controls, bare

685

membranes and AC/BiBB-bonded membranes, read as having effectively 0 uranium across the

686

membrane. The dense film with brush layer had a uranium count of 105 on the outer surface

687

where chains grew and around 30 counts across the interior, indicating the ability of some

688

monomer to diffuse within the cellulose and bond to some initiator sites or adsorb to cellulose.

689

Without the use of a sealing wafer, the uranium content measured across the thickness of both 30

690

kDa and 100 kDa membranes with brushes was roughly constant, exceeding, on average, 1200

691

counts.

692

When the sealing wafer was used, both membrane types show higher counts at the surface

693

and rapidly diminishing counts within the interior. Notably, both membrane types have interior

694

uranium counts below that of samples produced without a sealing wafer but above the blank

695

controls, averaging 159 ± 69 and 764 ± 380 uranium counts for the 30 and 100 kDa MWCO,

28

696

respectively. For the 30 kDa MWCO membrane, this relatively low value suggests that

697

significantly shorter chains grew within the interior (one to a few monomers per chain) whereas

698

the membrane with larger pores likely has chains exceeding 1 kg mol-1 but below 4 kg mol-1

699

throughout its thickness.

700

The top-surface counts for membranes exceed that of the dense film. If we consider the fact

701

that the targeted EDX sample points slightly drifted during the 1 min of measuring time, we posit

702

that scans covered thicknesses exceeding that of just the thin surface brush. Thus, the

703

discrepancy in surface uranium counts of film and membranes with some pore penetration of

704

growing brush is reasonable. The discrepancy between top-surface uranium count for 100 kDa

705

MWCO and 30 kDa MWCO membranes can similarly be explained. That is, reaction solution

706

could penetrate for a longer duration into the larger pores of the former before chains lining pore-

707

mouths grew long enough to block pores. Figures 7b and c schematically illustrate the control

708

achieved with the use of a sealing wafer.

29

709 710

Figure 7. Elucidation of brush control from use of specially-designed sealing wafer, via targeted EDX

711

sampling. a) Results of targeted EDX sampling with uranium counts taken at various depths of different

712

membrane samples. Brush-layered samples had ~4 kg mol-1 PtBA, cleaved into PAA in 12% trifluoracetic

713

acid in dichloromethane. Before staining with uranium, bare membrane and membrane with AC/BiBB

714

bonded (30 kDa MWCO) were subjected to the same trifluoroacetic acid cleavage solution to test if this

715

process produces substantial carboxyl groups that attract uranium. Uranium counts were taken over the

716

course of 1 minute. b) Illustration of growth without the use of sealing wafer, whereby polymerization

717

solution diffuses into the membrane from all directions, producing brush growth throughout the pores. c)

718

Illustration of growth with the use of a sealing wafer, whereby polymerization solution diffuses into the

719

membrane from only the top side of the asymmetric membrane where smaller pores are exposed.

720

30

721

3.4 Brush layers as membrane active layers

722

As a proof of the previous concepts and a demonstration of dense brush layers as

723

selective membranes, a diblock copolymer of PtBA-PHEA on a commercial 30 kDa MWCO

724

cellulose membrane was synthesized with the use of a sealing wafer to direct growth to primarily

725

the top surface. We used our findings from the development of synthesis and characterization

726

methods to inform the fabrication of these membranes. A proportion of 55 mol% BiBB acyl

727

halides was chosen to maximize the brush density while maintaining stability. Because we had

728

observed a phase of practically static growth occurring at ~4 kg mol-1, total brush length was

729

maintained to around this value to keep layers distinct and even for a more accurate report of

730

block sizes. Furthermore, near-zero water permeabilities were often observed with PtBA brushes

731

of only 1-4 kDa (Figure 4), suggesting near-full coverage of pores. Because a 30 kDa MWCO

732

membrane is expected to have an average pore diameter of ~8 nm [56], we predict that around

733

the perimeter of the average pore mouth alone, the summed molecular weight of chains of 4 kg

734

mol-1 would be ~138 kDa, far exceeding 30 kDa (Figure S11). Thus, we expected that this small

735

size of brush of only 4 kg mol-1 would demonstrate the minimum layer length to affect solute-

736

solute selectively and rejection. However, we acknowledge that for real applications, it is

737

probably necessary to increase this length to ensure full coverage of larger pores, especially if a

738

polymer is selected that greatly collapses in the filtration solvent of choice.

739

To confirm the addition of each layer in the diblock, water contact angles were measured

740

on bare and modified membranes (Figure 8b). As expected, a layer of hydrophobic PtBA

741

increased water contact angle while subsequently-added PHEA reduced it. Additionally, ATR-

742

FTIR spectra were generally consistent with successful grafting, although signal intensity was

743

low due to short brush length (Figure S12).

31

744 745

Figure 8. Brush-layered membranes produced for proof-of-concept transport studies. a) Structure of

746

polymer brush chains. b) Membrane surface water contact angles in air, calculated as an average of

747

measurements from photographs taken every ~0.16 s for 10 s each on 3 samples total. Drop size was 1

748

µL. Subscripts represent the number average molecular weight of each polymer layer (kg mol-1), assumed

749

to be the same as the length of homogeneous polymers simultaneously produced. Brush layers were

750

synthesized atop a commercial 30 kDa MWCO cellulose membrane using 55% acyl halides from the

751

initiator BiBB (45% from crosslinker AC).

752 753

To demonstrate the selective capabilities of these brush layers, we measured flux of solutes

754

of varying octanol/water partition coefficients in a counter-diffusion experiment with organic

755

solutes on one side of a diffusion cell and saline solution in the opposite chamber. 32

756

Concentrations were balanced for a net-zero osmotic pressure difference between the chambers.

757

For fair comparison, the organic solutes chosen, including L-asparagine, hydroquinone, and

758

thymol, are all neutral at the experimental operating pH and fall within 110-150 Da in size

759

(Figure 9a). Sodium chloride was counter-diffused for reference.

760

Changes in diffusion or flux of these solutes indicated successful membrane modification and

761

altered selectivity (Figure 9b). Solute fluxes through each additional layer correlate well with the

762

octanol/water partition coefficients (LogP) for each solute (Figure 9a, b). The addition of a short,

763

relatively hydrophobic brush, PtBA of ~1.5 kg mol-1, slightly decreased the diffusion rates of all

764

solutes while reducing transport of sodium chloride below all others. With the addition of a

765

longer, relatively hydrophilic PHEA layer of ~2.5 kg mol-1, all diffusion rates reduced and

766

thymol (the most hydrophobic solute) dropped to the slowest diffusion rate. When a longer PtBA

767

layer of ~3.0 kg mol-1 was first added, the transport rate of the most hydrophilic solute L-

768

asparagine significantly dropped two orders of magnitude from the membrane with

769

crosslinker/initiator. Interestingly, when this long hydrophobic brush was followed by a short

770

PHEA layer of around ~1.0 kg mol-1, fluxes of all solutes somewhat increased. It is possible that

771

a layer of solely PtBA collapses completely in water while a diblock copolymer of PtBA and

772

PHEA aligns into a looser, lamellar configuration. Another explanation is that the chains lining

773

the openings of pores are short enough for a hydrophilic layer to produce an effectively smaller

774

PHEA-filled pore. As water is a better solvent for PHEA, this less-dense pore would allow all

775

solutes through more easily.

776

We also measured permeability and rejection of a bare and modified 30 kDa MWCO

777

membrane with a dead-end permeation cell, simulating ultrafiltration and reverse osmosis. With

778

the addition of just a PtBA brush of ~4 kg mol-1, rejection of lysozyme, a globular protein with a

779

molar mass of 14.3 kDa, drastically increases from 18 to 97%. Permeability also noticeably

780

decreases, from 290 to 1.1 Lm-2h-1bar-1, suggesting nearly full coverage of the membrane pores

781

(Figure 9c). However, NaCl was not rejected before or after brush layer formation, suggesting

782

the presence of some small defects (pores) that are smaller than lysozyme.

783

We showed here that a relatively small brush molecular weight can alter transport rates,

784

suggesting SI-ATRP may be used to produce the thinnest of ultrathin composite membranes. For

785

real applications, thicker polymer blocks are likely necessary, but this system allows for a

786

highly-controlled optimization of active layer thickness. These proofs of concept demonstrate 33

787

that selectivity and permeability can be altered by strategically choosing patterns of specific

788

polymers, grown to particular lengths.

789 790

Figure 9. Changes in solute flux and rejections of various solutes through different brush layers on a

791

commercial 30 kDa MWCO cellulose membrane. a) Pertinent characteristics of solutes involved in

792

transport experiments for diblock copolymer brush-layered cellulose membranes, including molecular

793

weight and octanol/water partition coefficients (LogP), which were obtained from PubChem. b) Small

794

molecule diffusion through brush-layer membranes. Fluxes of solutes with varying octanol/water partition

795

coefficients through bare and modified membranes were determined through use of a Valia-Chien-type

796

diffusion cell with 10 mL chambers and a 7 mm orifice diameter, set at ambient temperature with constant 34

797

stirring. One chamber was charged with all organic solutes at a concentration 0.133 mM each, while the

798

opposite side contained 0.2 mM sodium chloride to balance osmotic pressure. Changes in organic solute

799

concentration on the saline side were detected through use of an HPLC column, while changes in salt

800

concentration on the organic side were detected through conductivity meter probe. The average of

801

quadruplicate data with standard deviation as error bars is depicted. c) Pressure-driven filtration through

802

brush-layer membranes. Pure water permeability and rejections of sodium chloride and lysozyme were

803

measured for bare cellulose membrane and a membrane with a PtBA brush through using a stirred dead-

804

end cell with 7 mm diameter orifice, driven with 7 bar and 2 bar hydraulic pressure for membranes

805

without and with brushes, respectively. Saline feed was 20 mM in sodium chloride while lysozyme

806

solution was 35 µM. Lysozyme is a globular protein with a molar mass of 14.3 kDa. Conductivity

807

measurements for retentate and permeate were used to determine salt rejection while TOC readings were

808

used to determine lysozyme concentrations. The average of triplicate data with standard deviation as error

809

bars is depicted. For membrane types, subscripts represent the number average molecular weight of each

810

polymer layer (kg mol-1), assumed to be the same as the length of homogeneous polymers simultaneously

811

produced. All membranes reacted in AC/BiBB solutions containing 55% BiBB acyl halides (45% from

812

crosslinker AC).

813

4. Conclusion

814

Synthesizing reproducible, useful brush-layered membranes necessitates the development

815

of new, more robust techniques to control and resolve the location, density, and length of SI-

816

ATRP-produced brushes on porous polymeric supports. We demonstrated here the use of

817

competitively-bound crosslinker and initiator to control brush density. A certain proportion of

818

crosslinker was necessary to stabilize the cellulose, limiting density control within a certain

819

range. We showed that brush density could be measured by use of a silver ion probe and

820

inductively-coupled plasma mass spectrometry. We found that the ratios of initiator and

821

crosslinker acyl halide content used in the reaction solution did not directly match grafting

822

density, as other factors like binding rate for each type of molecule and steric hindrance of

823

growing brushes influenced the resultant density. We elucidated unique growth behavior on a

824

nonideal polymeric surface, experimentally demonstrating phases of seemingly faster and slower

825

ATRP heterogeneous growth rates compared to homogeneous rates and observing two distinct

826

populations. Such growth observations support previously-proposed growth mechanisms. We

827

showed that location of brushes could be partially controlled through use of sealing wafers if the

828

base porous support is asymmetric with relatively small top-surface pores. Targeted STEM-EDX 35

829

measurements throughout the cross-sections of samples with uranium-tagged PAA brushes

830

allowed direct quantitation of brush location control. Finally, after identifying brush density and

831

length limitations, we produced brush homopolymer and copolymer membranes that demonstrate

832

the possibility of using dense brushes as selective layers, tailored by controlled brush length and

833

type.

834 835

Acknowledgements

836 837

This material is based upon work supported by the National Science Foundation Graduate

838

Research Fellowship Program under Grant No. DGE-1752134 and the 2018-2020 NWRI-AMTA

839

Fellowship for Membrane Technology awarded to C.J.P. Any opinions, findings, and

840

conclusions or recommendations expressed in this material are those of the authors and do not

841

necessarily reflect the views of the National Science Foundation, National Water Research

842

Institute, or the American Membrane Technology Association. Facilities used for AFM, TEM,

843

and SEM were provided by the Yale Institute of Nanoscale and Quantum Engineering (YINQE).

844

TOC and ICP-MS analyzers were provided by the Yale Analytical and Stable Isotope Center

845

(YASIC). The Yale West Campus Materials Characterization Core provided equipment for XPS

846

measurements, while the Yale Chemical and Biophysical Instrumentation Center (CBIC)

847

provided FTIR and NMR equipment. Additionally, the authors would like to thank Dr. Chanhee

848

Boo for conducting XPS.

849

36

850

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987

39

Highlights •

Dense acrylate-based brush layers grown from cellulose UF membranes by SI-ATRP



Custom reaction wafer allowed for brush to be located mainly on top surface



Cleavage with SEC showed two divergent polymer populations in brush layers



Grafting density determined through silver bind-and-elute method



Solute fluxes measured through brush layers of homo- and block polymers

Conflict of Interest and Authorship Conformation Form Please check the following as appropriate:

o

All authors have participated in (a) conception and design, or analysis and interpretation of the data; (b) drafting the article or revising it critically for important intellectual content; and (c) approval of the final version.

o

This manuscript has not been submitted to, nor is under review at, another journal or other publishing venue.

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The authors have no affiliation with any organization with a direct or indirect financial interest in the subject matter discussed in the manuscript

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The following authors have affiliations with organizations with direct or indirect financial interest in the subject matter discussed in the manuscript:

Author’s name Menachem Elimelech Cassandra Porter Mingjiang Zhong Jay Werber Yan-fang Guan Cody Ritt

Affiliation Yale Yale Yale Univ of Minnesota Yale/USCTC Yale