electronic supplementary information boronate sol gel ... · and 120 min). a pva/dba-coated ps...

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1 Electronic Supplementary Information Boronate solgel method for one-step fabrication of polyvinyl alcohol hydrogel coatings by simple cast- and dip-coating techniques Ryuhei Nishiyabu, *a Yuki Takahashi, a Taro Yabuki, a Shoji Gommori, a Yuki Yamamoto, a Hiroaki Kitagishi b and Yuji Kubo *a a Department of Applied Chemistry, Graduate School of Urban Environmental Sciences, Tokyo Metropolitan University, 1-1 Minami-ohsawa, Hachioji, Tokyo 192-0397, Japan. b Department of Molecular Chemistry and Biochemistry, Faculty of Science and Engineering, Doshisha University, Kyotanabe, Kyoto 610-0321, Japan *Corresponding authors: Dr. Ryuhei Nishiyabu and Prof. Dr. Yuji Kubo E-mail: [email protected] Electronic Supplementary Material (ESI) for RSC Advances. This journal is © The Royal Society of Chemistry 2019

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Page 1: Electronic Supplementary Information Boronate sol gel ... · and 120 min). A PVA/DBA-coated PS Petri dish was used as a reference for the measurements. 350 400 450 500 550 0.0 0.2

1

Electronic Supplementary Information

Boronate sol–gel method for one-step fabrication of polyvinyl alcohol hydrogel

coatings by simple cast- and dip-coating techniques

Ryuhei Nishiyabu,*a Yuki Takahashi,a Taro Yabuki,a Shoji Gommori,a Yuki Yamamoto,a Hiroaki

Kitagishib and Yuji Kubo*a

a Department of Applied Chemistry, Graduate School of Urban Environmental Sciences, Tokyo

Metropolitan University, 1-1 Minami-ohsawa, Hachioji, Tokyo 192-0397, Japan.

b Department of Molecular Chemistry and Biochemistry, Faculty of Science and Engineering,

Doshisha University, Kyotanabe, Kyoto 610-0321, Japan

*Corresponding authors: Dr. Ryuhei Nishiyabu and Prof. Dr. Yuji Kubo

E-mail: [email protected]

Electronic Supplementary Material (ESI) for RSC Advances.This journal is © The Royal Society of Chemistry 2019

Page 2: Electronic Supplementary Information Boronate sol gel ... · and 120 min). A PVA/DBA-coated PS Petri dish was used as a reference for the measurements. 350 400 450 500 550 0.0 0.2

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Table of contents

· Preparation of the mixtures of PVA and DBA in aqueous ethanol································ 3

· FE-SEM image of the surface of a PVA/DBA film················································· 4

· UV-vis transmittance spectra of PVA/DBA-coated polystyrene Petri dishes···················· 4

· Photograph of a PVA/DBA-coated Petri dish cover after exposure to acetone·················· 5

· Characterization data of PVA/DBA coating films at different immersion periods in water··· 5

· ATR-FT-IR spectrum of a PVA/DBA coating film on a polystyrene Petri dish················· 7

· 1H-NMR experiments for the investigation of the effect of water in boronate esterification·· 7

· UV-vis transmittance spectrum of a PVA/DBA coating film after exposure to water vapor·· 8

· FE-SEM image of the cross section of a PVA/DBA coating film on a 24-well culture plate·· 9

· Culture of HeLa cells and HaCaT skin keratinocytes using a PVA/DBA-coated PS tissue

culture plate···························································································· 9

· FE-SEM image of the cross section of a PVA/DBA coating film on a PE plate ·············· 10

· Photograph of water droplets on PVA/DBA-coated materials··································· 11

· ATR-FT-IR spectra of PVA/DBA-coated polyurethane sponge and glass fiber filter paper· 14

· UV-vis spectra of composite PVA/DBA film before and after immersion in water··········· 15

· Photographs of the composite coating films after immersion in water for 24 h··············· 17

· Photographs and fluorescence spectra of functionalized PVA/DBA-coated materials········ 18

· Digital microscope image of a PVA/DBA-coated glass fiber filter functionalized with 1··· 24

· Stability of secondary functionalized PVA/DBA-coated materials in water··················· 24

· Photographs of secondary functionalized PVA/DBA-coated drawing paper, wool yarn and

cotton pad····························································································· 26

· Synthesis of compound 3·············································································· 27

Page 3: Electronic Supplementary Information Boronate sol gel ... · and 120 min). A PVA/DBA-coated PS Petri dish was used as a reference for the measurements. 350 400 450 500 550 0.0 0.2

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(a) 10 min

5% 10% 20% 40% 5% 10% 20% 40%

(b) 24 h (1 day)

5% 10% 20% 40% 5% 10% 20% 40%

(c) 168 h (1 week)

5% 10% 20% 40% 5% 10% 20% 40%

(d) 744 h (1 month)

5% 10% 20% 40% 5% 10% 20% 40%

Fig. S1 Photographs of the mixtures of PVA and DBA in aqueous ethanol (1 mL) at different

water fractions of 5% (v/v), 10% (v/v), 20% (v/v) and 40% (v/v) after standing for (a) 10 min,

(b) 24 h, (c) 168 h and 744 h at room temperature. Photographs of samples placed upside down

are also shown in the right side.

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Fig. S2 FE-SEM image of the surface of a PVA/DBA film prepared on a polystyrene Petri dish.

The right edge of the specimen is indicated by a black arrow.

(a)

300 400 500 600 7000

20

40

60

80

100

Tra

nsm

itta

nce (

%)

Wavelength (nm)

(b)

300 400 500 600 7000

20

40

60

80

100

Tra

nsm

itta

nce (

%)

Wavelength (nm)

Fig. S3 UV-vis transmittance spectra of (a) uncoated polystyrene Petri dishes and (b)

PVA/DBA-coated polystyrene Petri dishes.

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(a) (b)

Fig. S4 Photographs of (a) an uncoated polystyrene Petri dish cover and (b) a PVA/DBA-coated

polystyrene Petri dish cover after exposure to acetone. Two drops of acetone were put on the

uncoated polystyrene Petri dish and the PVA/DBA-coated polystyrene Petri dish, respectively.

The uncoated dish showed a fogging due to the partial dissolution of the petri dish in acetone.

On the other hand, the PVA/DBA-coated dish showed negligible fogging due to the durability

of the PVA/DBA film toward acetone.

Table S1. Characterization data of PVA/DBA coating films on polystyrene Petri dishes at

different immersion periods in water.a

Immersion time

As prepared 12 h 24 h 72 h 168 h

Weight (mg) 28.5 ± 1.4 28.3 ± 0.3 28.0 ± 1.5 28.4 ± 0.2 28.3 ± 0.6

Film thickness (mm) 3.0 ± 0.3 2.9 ± 0.6 3.6 ± 0.7 3.1 ± 0.4 3.0 ± 0.8

Optical transmittance at 660 nm

(%)

90.2 ± 0.2 90.3 ± 0.2 90.5 ± 0.2 90.3 ± 0.5 90.2 ± 0.3

Contact angle of water droplet

(°)

54 ± 2 51 ± 1 55 ± 4 53 ± 2 52 ± 5

a Four samples were individually analyzed for each immersion time.

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Table S2. Stability of PVA/DBA coating films prepared from the mixtures of PVA and DBA in

aqueous ethanol using aqueous solutions at different pH values. The obtained films on Petri

dishes (9 cm in diameter) were immersed in water for 168 h (1 week).a

pH of aqueous

solutions

Weight (mg)

Before immersion After immersion

pH 5 25.0 ± 0.5 25.0 ± 0.7

pH 6 25.8 ± 0.4 25.8 ± 0.4

pH 7 25.6 ± 1.1 25.8 ± 0.8

pH 8 26.1 ± 0.4 26.4 ± 0.5

pH 9 26.1 ± 0.9 26.8 ± 0.6

aThe pH values of aqueous solutions were adjusted using hydrochloric acid and aqueous sodium

hydroxide. Four samples were individually prepared and characterized for each pH condition.

Table S3. The weights of PVA/DBA coating films on Petri dishes (9 cm in diameter) before and

after immersion in aqueous solutions at different pH values for 168 h (1 week).a

pH of aqueous solutions

Weight (mg)

Before

immersion

After

immersion

pH 2 (0.01 M hydrochloric acid) 28.9 ± 0.5 28.5 ± 0.6

pH 3 (0.05 M glycine-HCl buffer) 28.9 ± 0.4 28.7 ± 0.5

pH 4 (0.1 M acetic acid-sodium acetate buffer) 27.5 ± 0.7 27.3 ± 0.4

pH 5 (0.1 M acetic acid-sodium acetate buffer) 28.6 ± 0.4 28.2 ± 0.5

pH 6 (0.1 M phosphate buffer) 27.4 ± 0.7 27.3 ± 0.6

pH 7 (0.1 M phosphate buffer) 28.6 ± 0.3 28.5 ± 0.4

pH 8 (0.1 M phosphate buffer) 27.5 ± 0.6 27.6 ± 0.5

pH 9 (0.1 M carbonate-bicarbonate buffer) 28.5 ± 0.3 25.0 ± 0.2

pH 10 (0.1 M carbonate-bicarbonate buffer) 28.9 ± 0.2 23.7 ± 0.5

aFour samples were individually prepared and characterized for each pH condition.

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4000 3000 2000 1000

0.00

0.05

0.10

0.15

0.20

0.25

0.30

Absorb

ance

Wavenumber / cm-1

Fig. S5 ATR-FT-IR spectrum of a PVA/DBA film prepared on a polystyrene Petri dish.

Fig. S6 1H-NMR spectra of (a) (2R,4R)-(−)-2,4-pentanediol (Diol, 0.6 M) in methanol-d4, (b)

Diol and phenylboronic acid (BA, 0.3 M) in methanol-d4, (c) Diol (0.6 M) and BA (0.6 M) in

methanol-d4, and (d) Diol (0.6 M) and BA (0.6 M) in methanol-d4/D2O (4:1(v/v)).

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300 400 500 600 7000

20

40

60

80

100

Tra

nsm

itta

nce (

%)

Wavelength (nm)

Fig. S7 UV-vis transmittance spectra of an uncoated polystyrene Petri dish (filled triangle) and

a PVA/DBA-coated polystyrene Petri dish (open triangle) after exposure to water vapor from

warm water (2 mL, 40 °C) and a UV-vis transmittance spectrum of a polystyrene Petri dish after

exposure to water vapor (filled square).

Fig. S8 FE-SEM image of the cross section of a PVA/DBA coating film on a 24-well culture

plate prepared by a cast-coating method.

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(a) (b)

Fig. S9 Photographs of HeLa cells cultured for 24 h using (a) an uncoated 24-well PS tissue

culture plate and (b) a PVA/DBA-coated 24-well PS tissue culture plate.

(a) (b)

Fig. S10 Photographs of (a) an uncoated 24-well PS tissue culture plate and (b) a PVA/DBA-

coated 24-well PS tissue culture plate after replacing the culture solutions of HaCaT skin

keratinocytes with fresh culture media.

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Fig. S11 FE-SEM image of the cross section of a PVA/DBA coating film on a polyethylene

(PE) plate prepared by a dip-coating method.

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PS (80.8°) PVA/DBA-coated PS (48.7°)

PMMA (73.0°) PVA/DBA-coated PMMA (51.3°)

PVC (74.3°) PVA/DBA-coated PVC (49.4°)

PE (80.7°) PVA/DBA-coated PE (47.4°)

Fig. S12 Photographs and contact angles of water droplets on uncoated (left) and PVA/DBA-

coated (right) plates (50 mm × 10 mm × 1 mm) of polystyrene (PS), polymethyl methacrylate

(PMMA), polyvinyl chloride (PVC) and polyethylene (PE).

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PP (80.1°) PVA/DBA-coated PP (49.5°)

PC (80.9°) PVA/DBA-coated PC (51.7°)

PTFE (109.3°) PVA/DBA-coated PTFE (52.2°)

Al (85.5°) PVA/DBA-coated Al (55.0°)

Fig. S13 Photographs and contact angles water droplets on uncoated (left) and PVA/DBA-

coated (right) plates (50 mm × 10 mm × 1 mm) of polypropylene (PP), polycarbonate (PC),

polytetrafluoroethylene (PTFE) and aluminum (Al).

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Cu (87.3°) PVA/DBA-coated Cu (54.8°)

SUS (84.0°) PVA/DBA-coated SUS (43.3°)

Glass (39.8°) PVA/DBA-coated Glass (56.4°)

Si (43.2°) PVA/DBA-coated Si (52.0°)

Fig. S14 Photographs and contact angles of water droplets on uncoated (left) and PVA/DBA-

coated (right) plates (50 mm × 10 mm × 1 mm) of copper (Cu), stainless steel (SUS), glass

(Glass) and silicon (Si).

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4000 3500 3000 2500 2000 1500 1000 500

0.0

0.1

0.2

0.3

Absorb

ance

Wavenumber / cm-1

**

**** **

Fig. S15 ATR-FT-IR spectrum of a PVA/DBA-coated polyurethane sponge. Peaks marked with

asterisks and double asterisks are assignable to the boronate esters (B-O stretching) and PVA

(C=O, C–H and O–H stretching), respectively.

4000 3500 3000 2500 2000 1500 1000 500

0.00

0.05

0.10

0.15

0.20

Absorb

ance

Wavenumber / cm-1

****

*

*

**

Fig. S16 ATR-FT-IR spectrum of a PVA/DBA-coated glass fiber filter paper. Peaks marked

with asterisks and double asterisks are assignable to the boronate esters (B-O stretching) and

PVA (C=O, C–H and O–H stretching), respectively.

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550 600 650 700

0.0

0.5

1.0

1.5

2.0

Abso

rbance

Wavelength / nm

Fig. S17 UV-vis spectra of an erio green B (EG)-doped PVA/DBA film on a polystyrene Petri

dish before (broken line) and after immersion in water (solid lines, immersion time: 5, 20, 60

and 120 min). A PVA/DBA-coated PS Petri dish was used as a reference for the measurements.

350 400 450 500 550

0.0

0.2

0.4

0.6

Ab

sorb

ance

Wavelength / nm

Fig. S18 UV-vis spectra of a tris(2,2'-bipyridyl)ruthenium(II) chloride (Rubpy)-doped

PVA/DBA film on on a polystyrene Petri dish before (broken line) and after immersion in water

(solid lines, immersion time: 5, 20, 60 and 120 min). A PVA/DBA-coated PS Petri dish was

used as a reference for the measurements.

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300 400 500 600 700 800

0.0

0.1

0.2

0.3

Abso

rbance

Wavelength / nm

Fig. S19 UV-vis spectra of a Prussian blue (PB)-doped PVA/DBA film on a polystyrene Petri

dish before (broken line) and after immersion in water (solid lines, immersion time: 2 h, 6 h, 12

h and 24 h). A PVA/DBA-coated PS Petri dish was used as a reference for the measurements.

The observed increase of the absorption at 698 nm accompanied with the decrease of the

absorption at 500 nm during the immersion is ascribable to an equilibrium shift from partially

reduced iron(II) hexacyanoferrate(II) (Prussian white) to stable iron(III) hexacyanoferrate(II)

(PB) in the film.

300 400 500 600 700

0.00

0.04

0.08

0.12

Abso

rbance

Wavelength / nm

Fig. S20 UV-vis spectra of a gold nanoparticle (AuNPs)-doped PVA/DBA film on a polystyrene

Petri dish before (broken line) and after immersion in water (solid lines, immersion time: 2 h,

12 h and 24 h). A PVA/DBA-coated PS Petri dish was used as a reference for the measurements.

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Fig. S21 Photographs of the composite coating films on PS Petri dishes after immersion in

water for 24 h.

Fig. S22 Chemical structures of fluorescent dyes employed for the evaluation of the secondary

functionalization reactivity of the PVA/DBA film.

(a) (b) (c) (d)

Fig. S23 Photographs of PVA/DBA-coated PE substrate treated with 1 (a and c) and 1’ (b and

d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm (c and

d). Photographic conditions: exposure time = 1/80 (f/5.6, ISO400) under ambient light and

exposure time = 1/2 (f/5, ISO400) under UV-light.

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(a) (b) (c) (d)

Fig. S24 Photographs of PVA/DBA-coated PE substrate treated with 2 (a and c) and 2’ (b and

d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm (c and

d). Photographic conditions: exposure time = 1/80 (f/5.6, ISO400) under ambient light and

exposure time = 1/2 (f/5, ISO400) under UV-light. The quantum yield of the functionalized

coated PE substrate with 2 was determined to be 60%.

(a) (b) (c) (d)

Fig. S25 Photographs of PVA/DBA-coated PE substrates treated with 3 (a and c) and 3’ (b and

d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm (c and

d). Photographic conditions: exposure time = 1/80 (f/5.6, ISO400) under ambient light and

exposure time = 1/2 (f/5, ISO400) under UV-light. The quantum yield of the functionalized

coated PE substrate with 3 was determined to be 62%.

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560 580 600 620 640 660 680

0

1

2

3

4

5

6

Inte

nsity /

a.

u.

Wavelength / nm

Fig. S26 Fluorescence spectra of PVA/DBA-coated PE substrates treated with 1 (filled circle)

and 1’ (open circle). ex = 540 nm.

480 500 520 540 560 580 600

0

5

10

15

20

25

30

35

Flu

ore

scen

ce in

ten

sity / a

. u

.

Wavelength / nm

Fig. S27 Fluorescence spectra of PVA/DBA-coated PE substrates treated with 2 (filled circle)

and 2’ (open circle). ex = 470 nm.

450 500 550 600

0

20

40

60

80

100

Inte

nsity /

a.

u.

Wavelength / nm

Fig. S28 Fluorescence spectra of PVA/DBA-coated PE substrates treated with 3 (filled circle)

and 3’ (open circle). ex = 420 nm.

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(a) (b) (c) (d)

Fig. S29 Photographs of PVA/DBA-coated polyurethane sponges treated with 1 (a and c) and

1’ (b and d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm

(c and d). Photographic conditions: exposure time = 1/100 (f/5.6, ISO400) under ambient light

and exposure time = 1/4 (f/5.6, ISO400) under UV-light.

(a) (b) (c) (d)

Fig. S30 Photographs of PVA/DBA-coated polyurethane sponges treated with 2 (a and c) and

2’ (b and d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm

(c and d). Photographic conditions: exposure time = 1/100 (f/5.6, ISO400) under ambient light

and exposure time = 1/20 (f/5, ISO400) under UV-light.

(a) (b) (c) (d)

Fig. S31 Photographs of PVA/DBA-coated polyurethane sponges treated with 3 (a and c) and

3’ (b and d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm

(c and d). Photographic conditions: exposure time = 1/100 (f/5.6, ISO400) under ambient light

and exposure time = 1/8 (f/5, ISO400) under UV-light.

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560 580 600 620 640 660 680

0

20

40

60

80

100

Flu

ore

scen

ce in

ten

sity / a

. u

.

Wavelength / nm

Fig. S32 Fluorescence spectra of PVA/DBA-coated polyurethane sponges treated with 1 (filled

circle) and 1’ (open circle). ex = 540 nm.

480 500 520 540 560 580 600

0

50

100

150

200

250

300

Flu

ore

scen

ce in

ten

sity / a

. u

.

Wavelength / nm

Fig. S33 Fluorescence spectra of PVA/DBA-coated polyurethane sponges treated with 2 (filled

circle) and 2’ (open circle). ex = 365 nm.

440 460 480 500 520 540 560 580 600

0

500

1000

1500

Flu

ore

scen

ce in

ten

sity / a

. u

.

Wavelength / nm

Fig. S34 Fluorescence spectra of PVA/DBA-coated polyurethane sponges treated with 3 (filled

circle) and 3’ (open circle). ex = 420 nm.

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(a) (b) (c) (d)

Fig. S35 Photographs of PVA/DBA-coated glass fiber filter papers treated with 1 (a and c) and

1’ (b and d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm

(c and d). Photographic conditions: exposure time = 1/80 (f/5.6, ISO400) under ambient light

and exposure time = 1/2 (f/5, ISO400) under UV-light. The quantum yield of the functionalized

coated filter with 1 was determined to be 82 %.

(a) (b) (c) (d)

Fig. S36 Photographs of PVA/DBA-coated glass fiber filter papers treated with 2 (a and c) and

2’ (b and d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm

(c and d). Photographic conditions: exposure time = 1/80 (f/5.6, ISO400) under ambient light

and exposure time = 1/2 (f/5, ISO400) under UV-light. The quantum yield of the functionalized

coated filter with 2 was determined to be 88 %.

(a) (b) (c) (d)

Fig. S37 Photographs of PVA/DBA-coated glass fiber filter papers treated with 3 (a and c) and

3’ (b and d). The photographs were taken under ambient light (a and b) and UV-light at 365 nm

(c and d). Photographic conditions: exposure time = 1/80 (f/5.6, ISO400) under ambient light

and exposure time = 1/2 (f/5, ISO400) under UV-light. The quantum yield of the functionalized

coated filter with 3 was determined to be 82 %.

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560 580 600 620 640 660 680

0

25

50

75

100

125

150

Inte

nsity /

a.

u.

Wavelength / nm

Fig. S38 Fluorescence spectra of PVA/DBA-coated glass fiber filter papers treated with 1 (filled

circle) and 1’ (open circle). ex = 540 nm.

480 500 520 540 560 580 600

0

50

100

150

200

Flu

ore

scen

ce in

ten

sity / a

. u

.

Wavelength / nm

Fig. S39 Fluorescence spectra of PVA/DBA-coated glass fiber filter papers treated with 2 (filled

circle) and 2’ (open circle). ex = 365 nm.

440 460 480 500 520 540 560 580

0

200

400

600

800

1000

1200

Flu

ore

scen

ce in

ten

sity / a

. u

.

Wavelength / nm

Fig. S40 Fluorescence spectra of PVA/DBA-coated glass fiber filter papers treated with 3 (filled

circle) and 3’ (open circle). ex = 420 nm.

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Fig. S41 Digital microscope image of a PVA/DBA-coated glass fiber filter treated with 1.

480 500 520 540 560 580 600

0

50

100

150

200

Before immersion

Immersoin for 1 day

Immersoin for 2 days

Immersoin for 3 days

Inte

nsity /

a.

u.

Wavelength / nm

Fig. S42 Photographs a PVA/DBA-coated PE substrate functionalized with 2 before (left) and

after (right) immersion in water and the corresponding fluorescence spectra (ex = 366 nm).

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440 460 480 500 520 540 560 580

0

500

1000

1500

2000

2500

3000

Before immersion

Immersion for 1 day

Immersion for 2 days

Immersion for 3 days

Inte

nsity /

a.

u.

Wavelength / nm

Fig. S43 Photographs of a PVA/DBA-coated polyurethane sponge functionalized with 3 before

(left) and after (right) immersion in water and the corresponding fluorescence spectra (ex =

420 nm).

560 580 600 620 640 660 680

0

50

100

150

200

250

300

350

Before immersion

Immersion for 1 day

Immersion for 2 days

Immersion for 3 days

Inte

nsity /

a.

u.

Wavelength / nm

Fig. S44 Photographs and spectra of a PVA/DBA-coated glass fiber filter paper functionalized

with 1 before (left) and after (right) immersion in water and the corresponding fluorescence

spectra (ex = 540 nm). The decrease of the fluorescent intensity is probably due to the falling

out of the glass fibers from the filter during the immersion processes.

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Fig. S45 Photographs of secondary functionalized PVA/DBA-coated drawing paper with 3 (a),

PVA/DBA-coated wool yarn with 1 (b) and PVA/DBA-coated cotton pad with 2 (c). These

photographs were taken under ambient light (top) and UV-light (bottom), respectively.

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Fig. S46 1H NMR (500 MHz) spectrum of 3 in DMSO-d6. Inset: Enlarged 1H-NMR spectrum

in a region of a low magnetic field. The solvent peaks (5.76 ppm: dichloromethane and 2.50

ppm: dimethyl sulfoxide) and water peak (3.33 ppm) are marked with asterisks.

Fig. S47 13C NMR (126 MHz) spectrum of 3 in DMSO-d6. The solvent peaks are marked with

asterisks (54.9 ppm: dichloromethane and 39.7 ppm: dimethyl sulfoxide).

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Fig. S48 11B NMR (160 MHz) spectrum of 3 in DMSO-d6.

Fig. S49 (a) HRMS (ESI) of 3 and simulated isotope patterns of (b) [3 + H]+, (c) [3 + Na]+, and

(d) [3 + K]+.