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Accepted Manuscript Tuning of light colour emission from new polyperyleneimides containing oxadiazole and siloxane moieties Mariana-Dana Damaceanu, Catalin-Paul Constantin, Maria Bruma, Mariana Pinteala PII: S0143-7208(13)00162-9 DOI: 10.1016/j.dyepig.2013.04.035 Reference: DYPI 3934 To appear in: Dyes and Pigments Received Date: 22 February 2013 Revised Date: 29 April 2013 Accepted Date: 30 April 2013 Please cite this article as: Damaceanu M-D, Constantin C-P, Bruma M, Pinteala M, Tuning of light colour emission from new polyperyleneimides containing oxadiazole and siloxane moieties, Dyes and Pigments (2013), doi: 10.1016/j.dyepig.2013.04.035. This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. 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.
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Page 1: Tuning of the color of the emitted light from new polyperyleneimides containing oxadiazole and siloxane moieties

Accepted Manuscript

Tuning of light colour emission from new polyperyleneimides containing oxadiazoleand siloxane moieties

Mariana-Dana Damaceanu, Catalin-Paul Constantin, Maria Bruma, Mariana Pinteala

PII: S0143-7208(13)00162-9

DOI: 10.1016/j.dyepig.2013.04.035

Reference: DYPI 3934

To appear in: Dyes and Pigments

Received Date: 22 February 2013

Revised Date: 29 April 2013

Accepted Date: 30 April 2013

Please cite this article as: Damaceanu M-D, Constantin C-P, Bruma M, Pinteala M, Tuning of light colouremission from new polyperyleneimides containing oxadiazole and siloxane moieties, Dyes and Pigments(2013), doi: 10.1016/j.dyepig.2013.04.035.

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service toour customers we are providing this early version of the manuscript. The manuscript will undergocopyediting, typesetting, and review of the resulting proof before it is published in its final form. Pleasenote that during the production process errors may be discovered which could affect the content, and alllegal disclaimers that apply to the journal pertain.

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TUNING OF LIGHT COLOUR EMISSION FROM NEW POLYPERYLENEIMIDES

CONTAINING OXADIAZOLE AND SILOXANE MOIETIES

Mariana-Dana Damaceanu*, Catalin-Paul Constantin, Maria Bruma and Mariana Pinteala

"Petru Poni" Institute of Macromolecular Chemistry, Aleea Grigore Ghica Voda 41A,

Iasi-700487, ROMANIA

Abstract

Four new aromatic poly(peryleneimides) containing electron-withdrawing oxadiazole

rings and flexible tetramethyldisiloxane units in the backbone were prepared by a one step

polycondensation reaction at high temperature of four aromatic diamines containing

preformed oxadiazole units with a mixture, in different ratios, of perylenetetracarboxylic

dianhydride and tetramethyldisiloxane-1,3-bis(4-phthalic anhydride). The structure of these

polymers was confirmed by FT-IR and 1H-NMR spectroscopy. The solubility, thermal

stability and glass transition temperature of the poly(peryleneimides) were measured and

discussed in correlation with their chemical structure. The solid polymers were studied by X-

ray diffraction which revealed a semicrystalline state consisting in face-to-face arranged

columns of perylenediimide units for two of the polymers. The film-forming ability and the

morphology of the resulting thin films were investigated using scanning electron microscopy

which showed that two of the polymer films were organized into self-assembled rod-like

structures. An extensive study of the photo-optical properties of these polymers highlighted

the ability of the color of the emitted light to be modulated as a function of the excitation

wavelengths, as was surveyed in the chromaticity diagrams. The Förster excitation energy

transfer phenomenon from oxadiazole to perylenediimide chromophores was observed to

occur for some of the polymers, for which the oxygen bridge appears to be responsible. In

solution, high fluorescence quantum yields were obtained, up to 24 %, while, in the solid

state, low fluorescence emission was attained due to aggregation. These poly(peryleneimides)

could be considered as promising candidates for high-performance materials to be used in

novel optoelectronic applications, e.g. chemiluminescent sensors.

Keywords: poly(peryleneimides); oxadiazole; high temperature materials; thin films;

chromaticity coordinates; excitation energy transfer.

* Corresponding author. Address: "Petru Poni" Institute of Macromolecular Chemistry, Aleea

Grigore Ghica Voda 41A, Iasi-700487, ROMANIA, email: [email protected]

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1. INTRODUCTION

Research and development in the field of materials science and technology are

directed toward the preparation of new materials capable of overcoming specific problems,

and improving, or reducing the cost of present-day industrial processes. In this regard, if

science may be considered essential for the welfare of humankind, then materials science

clearly contributes to ongoing social and economic progress. In contrast to conventional

polymers, high performance polymers are characterized by specific criteria, such as higher

thermal resistance, higher mechanical strength, lower specific densities, higher conductivity,

higher thermal, electrical or sound insulation properties, superior flame resistance etc [1].

Polyimides containing six-membered imide rings, such naphthylimide or peryleneimide

represent one of the most important classes of high performance polymers. Peryleneimides

and their derivatives have been a subject of research for the last 10 decades. With their

promising electroactive and photoactive properties, peryleneimides and their derivatives have

attracted much attention for potential applications in organic molecular electronics [2,3]. Of

particular interest is their use as light emitting materials for the fabrication of

electroluminescent display devices [4,5]. The syntheses of a variety of peryleneimides have

provided fundamental understanding of their electronic properties at the molecular level. The

correlation of the electrochemical and photophysical properties with their molecular structures

is crucial for rational exploration of new materials for optoelectronic applications [6].

Perylenediimides have a deep-lying highest occupied molecular orbital (HOMO) energy level

and a rigid, planar core that was used as viable building blocks to n-type organic

semiconductors. Their molecular architecture represented by fused aromatic rings provides

high electron affinity/mobility, and excellent photochemical and thermal stability [7,8]. In

fact, the electron acceptor character is a common property of aromatic diimides and arises

from the strong electron-withdrawing character of the imide groups [9]. Polymers containing

perylenediimides are also excellent candidates for creating self-organized molecular

electronic materials, they are one of the few n-type organic semiconductor systems that have

demonstrated high charge carrier mobility in thin film devices and structures, due to the

strong π-π interactions between perylenediimide units, which can facilitate the self-

organization [10,11].

A critical challenge, however, is the poor solubility of these fused arylene systems in

organic solvents, rendering it difficult to employ cost-effective solution-processing techniques

[12,13]. The solubility issue of these arylene molecules has been addressed by employing a

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diimide structure whose imide nitrogens are modified with alkyl tails, or by attaching

substituents to the main core at the bay positions. Unfortunately, many of these tail structures

and side groups create steric hindrance that inhibits the extended π-stacking required for

superior optoelectronic properties [14]. One alternative method of blending low molecular

weight perylene imides with polymers to prepare smooth films has the inherent problem of

phase separation [15].

One approach to soluble polymers containing perylenedimide units is to synthesize

copolymers containing them. Oligomers or polymers with end-capped perylene monoimides

as polysiloxanes [16], polyfluorenes and polyindenofluorenes [17,18], copolymers having

perylenediimides incorporated into the polymer chains [19,20] or graft copolymers as

perylene monoimide side chains on a polyfluorene [17], as well as more sophisticated

architectures such as dendrimers [21] were synthesized over time.

Perylene-containing polyimides showed poor solubility; they dissolve only in highly

polar solvents, such as m-cresol or concentrated H2SO4 because of the strong π-π stacking

between perylene moieties. Therefore, improving the polyperyleneimide solubility is an

important issue for the chemistry of high performance polymers. The main possibilities to

achieve enhanced solubility are either introduction of bulky substituents on the carbocyclic

scaffold [22] or copolymerization with other monomers containing flexible units. The

introduction of tetramethyldisiloxane units into already thermally stable polyimides has been

shown to yield several attractive properties while retaining many of the excellent properties.

The presence of the siloxane components in the structure of polyimides allows for increased

impact resistance, excellent adhesion, gas permeability and reduced water absorption, while

maintaining the thermal and mechanical stability that is adequate for most microelectronic,

printed circuits, and aerospace applications [23-26].

On the other hand, oxadiazole-based polymers present a combination of properties,

such as mechanical strength, stiffness, thermal and chemical stability, that makes them good

candidates for application as high temperature fibers, reinforcement materials, graphitized

fibers and membranes for gas separation [27]. Particularly, the outstanding thermal stability of

poly(1,3,4-oxadiazoles) was ascribed to the fact that the oxadiazole ring is spectrally and

electronically equivalent to the p-phenylene ring structure. Among organic chromophores,

oxadiazoles show high thermal and hydrolytic stability. Their good electron affinity makes

these compounds usable as electron transport materials in light emitting diodes (LEDs). The

prominent example is PBD, 2-(4-tert-butylbiphenyl)-5-phenyl-1,3,4-oxadiazole, which is

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used in molecular [28] and in polymeric devices [29]. Also two-photon absorption [30] and

NLO properties of oxadiazole compounds were reported [31].

A combination of several structural modifications, that is, the incorporation of 1,3,4-

oxadiazole rings, perylenediimide units and flexible groups in the polymer backbones,

minimizes the trade-off between the solubility and desired properties of wholly aromatic

polyimides. This work describes the synthesis and photo-physical properties of new

polyperyleneimides containing flexible siloxane bridges and oxadiazole moieties in the main

chain. The basic properties of these copolymers such as solubility, inherent viscosity, thermal

stability and glass transition temperature were thoroughly investigated. The photo-optical

behaviour of these polymers was investigated in detail in order to highlight the ability of

emission wavelength tuning. The crystallinity and morphology of thin films made therefrom

were investigated as well.

2. EXPERIMENTAL

2.1. Starting materials

4-Fluorobenzoic acid, hydrazine hydrate, trimellitic anhydride chloride, 1,2-

dichlorotetramethyldisilane, glacial acetic acid, anhydrous diethyl ether, 1-methyl-2-

pyrrolidinone (NMP), N,N-dimethylacetamide (DMAc), dimethylsulfoxide (DMSO) and

anhydrous N,N-dimethylformamide (DMF), were purchased from Sigma-Aldrich. Ortho-

phosphoric acid, 4-aminobenzoic acid, 3-aminophenol, 4-aminophenol, 5-amino-naphthol,

benzoic acid and acetic anhydride were purchased from Merck. Chloroform was purchased

from Chimopar Bucharest. Solvents were purified by standard procedures and handled in a

moisture-free atmosphere. All other chemicals were of reagent grade and used as received

without further purification.

2.2. Synthesis of the monomers

2,5-Bis(p-aminophenyl)-1,3,4-oxadiazole, M1, 2,5-bis[4-(p-aminophenoxy)

phenylene]-1,3,4-oxadiazole, M2, 2,5-bis[4-(m-aminophenoxy)phenylene]-1,3,4-oxadiazole,

M3 and 2,5-bis-[4-(5-amino-naphthalene-1-yloxy)-phenyl]-1,3,4-oxadiazole, M4, whose

structures are shown in scheme 1, were synthesized by known procedures [32,33].

3,4,9,10-Perylenetetracarboxylic dianhydride (PTCDA, M5) was purchased from

Aldrich and purified following a procedure described in the literature [34].

Tetramethyldisiloxane-1,3-bis(4-phthalic anhydride), M5, was prepared by the

reaction of trimellitic anhydride acid chloride with 1,2-dichlorotetramethyldisilane, in the

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presence of a catalyst made from a mixture of bis(benzonitrile)palladium chloride and

triphenylphosphine, following a published procedure [23].

2.3. Synthesis of the polymers

Copolyimides P1-P4 have been prepared by a one-step polycondensation reaction of

an oxadiazole-containing diamine, M1-M4, with a mixture of dianhydrides M5 and M6,

taken in different molar ratios. The reactions were carried out in NMP with 3.5% LiCl, in the

presence of benzoic acid as catalyst, at a concentration of 7% total solids, under a nitrogen

stream and at high temperatures (200-210°C).

In the case of the two dianhydrides with different reactivity, the less active

dianhydride monomer PTCDA (M5) was added in the first stage of reaction to the solution of

diamine in NMP, and then the more active dianhydride monomer, M6, was added to achieve

an even more random incorporation of the two monomer units in the polymer chain. Owing to

the low solubility of M5 in NMP with LiCl at room temperature, higher reaction temperature

was necessary to achieve better solubility. The reaction mixture was stirred and heated to 200-

210°C and allowed to react for 10 h, then gradually cooled to room temperature. The

generated water was removed through a gentle nitrogen flow, and hence the reaction balance

was moved to the formation of polyimide.

The following example illustrates the general procedure. In a 100 mL three-necked,

round-bottomed flask, equipped with a mechanical stirrer and nitrogen inlet and outlet,

diamine M4 (2.144 g, 4 mmol) and NMP with 3.5% LiCl (40 mL) as solvent were introduced.

After complete solubilization of the diamine, dianhydride M5 (0,392 mg, 1 mmol) was

charged. The reaction mixture was stirred and purged with a gentle nitrogen flow for about

half an hour and then M6 (1.25 g, 3 mmol) and NMP with 3.5% LiCl (10 mL) were added.

The reaction mixture was stirred and heated to 200-210°C and allowed to react for 10 h, then

gradually cooled to room temperature. Part of the resulting dark red copolyimide solution, P4,

was poured onto glass plates in order to prepare thin films, while the rest was poured into

water to precipitate the solid polymer. The dark red polymer was washed with plenty of water

and finally treated with ethanol in a Soxhlet apparatus for 1 day in order to remove the

unreacted monomers and the high boiling solvent. Finally, copolyimide P4 was obtained as a

red powder after drying in an oven, under vacuum, at 100°C for 6 h.

2.4. Preparation of polymer films

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Films of copolymers P1-P4 were prepared by casting a polymer solution of 7%

concentration in NMP with LiCl onto glass plates, followed by gradual heating from room

temperature up to 210°C, and kept at 210°C for 1 h. Dark-red, opaque coatings resulted

having strong adhesion to the glass support. The resulting polymer films could not be stripped

off the plates, being brittle.

Very diluted polymer solutions in NMP with concentration of 0.5-1% were used to

obtain very thin films having the thickness in the range 100-150 nanometers onto glass or

quartz plates by drop-casting technique. These films, as deposited, were gradually heated up

to 210°C in the same way as described earlier to remove the solvent and were used for

scanning electron microscopy (SEM) and photo-optical properties investigations.

2.5. Measurements

The 1H NMR spectra of the polymers have been recorded on a Bruker Advance III 400

MHz instrument, using DMSO-d6 and tetramethylsiloxane as standard.

The infrared spectra of the polymers were recorded on FT-IR Bruker Vertex 70

Spectrophotometer in transmission mode, by using KBr pellets.

The inherent viscosities of the polymers were determined at 20°C, by using NMP-

polymer solutions of 0.5 g/dL concentration, with an Ubbelohde viscometer.

The thermal stability of the polymers was investigated by thermogravimetric analysis

(TGA) using a STA 449 F1 Jupiter device (Netzsch, Germany) operating at a heating rate of

10°K/min, in nitrogen, from 30°C to 900°C. The onset on the TG curve was considered to be

the beginning of decomposition or the initial decomposition temperature (IDT). The

temperature of maximum rate of decomposition which is the maximum signal in differential

thermogravimetry (DTG) curves was also recorded.

The glass transition temperature (Tg) of the precipitated polymers was determined by

using a DSC 200 F3 Maia (Netzsch, Germany) equipment. Approximately 4 to 6 mg of each

polymer were crimped in aluminium pans and run in nitrogen atmosphere with a heat-cool-

heat profile from 30°C to 200-250°C at 10°K/min. The mid-point temperature of the change

in slope of the DSC signal of the second heating cycle was used to determine the glass

transition temperature values of the polymers.

Model molecules for a polymer fragment were obtained by molecular mechanics

(MM+) by means of the HyperChem program, Version 7.5. The same program was used to

visualize the structures obtained after energy minimization. The calculations were carried out

with full geometry optimization (bond lengths, bond angles and dihedral angles).

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Wide Angle X Ray Diffraction (WAXD) was performed on a Bruker D8 ADVANCE

Difractometer, using the Ni-filtered Cu-Kα radiation (λ=0.1541 nm). A MRI-WRTC–

temperature chamber (with nitrogen inert atmosphere) and a MRI-TCPU1-Temperature

Control and Power Unit were used. The working conditions were 36 kV and 30 mA. All the

diffractograms were investigated in the range 5÷40° (2 theta degrees), at room temperature.

Initial samples for X-Ray measurements were powders obtained as described in the synthesis

procedures.

The morphology of the free-standing films was investigated by scanning electron

microscopy (SEM) using a Quanta 200 ESEM.

The UV-Vis absorption and photoluminescence spectra of copolyimides were

registered with Specord M42 apparatus and Perkin Elmer LS 55 apparatus, respectively, by

using very diluted polymer solutions (aprox. 10-5 M) and very thin films having the thickness

in the nanometer range deposited on quartz plates.

The absolute values of fluorescence quantum yield (Φfl) of the samples was measured

on a FluoroMax-4 spectrofluorometer equipped with a Quanta-phi integrating sphere

accessory Horiba Jobin Yvon, by exciting the corresponding compound solutions at different

wavelengths corresponding to absorption maxima, at room temperature. The solution

concentration was optimized to obtain an absorbance around 0.055. The slit widths and

detector parameters were optimized to maximize but not saturate the excitation Rayleigh

peak, in order to obtain a good optical luminescence signal-to-noise ratio.

3. RESULTS AND DISCUSSION

3.1. Synthesis of polymers and basic characterization

The copolyimides P1-P4 reported here are based on two dianhydrides, one containing

perylene unit, M5, and another one containing tetramethyldisiloxane group, M6, and various

aromatic diamines containing a preformed oxadiazole ring, M1-M4. The structures of the

monomers are shown in Scheme 1.

..................................... Scheme 1

.....................................

A one-step polycondensation reaction of a diamine M1-M4 with a mixture of perylene

tetracarboxylic dianhydride, M5, and tetramethyldisiloxane-1,3-bis(4-phthalic anhydride),

M6, in NMP with 3.5% LiCl solutions, in the presence of benzoic acid as catalyst and by

heating at high temperatures, yielded copolyimides P1-P4 as shown in Scheme 2.

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............................... Scheme 2

...............................

The 1H-NMR spectrum of copolyimide P4 (figure 1) was recorded in order to confirm

the structure of the polymer. Thus, in the aromatic region of P4 exhibited multiplets due to the

aromatic protons of phenylene, perylenediimide and phthalimide rings, as follows: 8.34-7.88

(48H, m), 7.84–7.36 (32H, m), 7.35–7.02 (26H, m). In the aliphatic region, the polymers

exhibited multiple singlets readily distinguished by a 0.04–0.17 ppm shift that can be

attributed to the CH3 protons of the dimethylsiloxane units that are present in syn–anti

conformations: 0.53, 0.47, 0.38, 0.21, 0.17 and 0.06 ppm. Moreover, the integrals values

ratios of the aromatic and aliphatic signals evidenced the total incorporation of the diamine

and dianhydride segments in the polymer chain P4 in the ratio: M4 : M5 : M6 = 4 : 3 : 1.

Unfortunately, due to the extremely low solubility of the other polymers (P1-P3) in DMSO,

their 1H-NMR spectra could not be obtained with sufficiently good resolution for detailed

analysis.

..................................... Figure 1

.....................................

The FT-IR spectra of the synthesized copolyimides provided evidence that all of the

perylene, tetramethyldisiloxane and oxadiazole units were successfully incorporated into the

copolyimide chain (figure 2).

..................................... Figure 2

..................................... The polymers showed characteristic five-imide ring absorptions coming from

siloxane-conaining dianhydride in the range of 1774-1776 cm-1 (asymmetrical C=O imide

stretching), 1721-1724 cm-1 (symmetrical C=O imide stretching) and 722-734 cm-1 (imide

ring deformation) in their FT-IR spectra. All the polymers exhibited strong absorption bands

in the range of 1664-1672 cm-1 typical for the vibrations of six-member imide rings of

PTCDA. Characteristic absorption peaks of the 1,3,4-oxadiazole ring were evident in the

range of 961-967 cm-1 and 1012-1019 cm-1 (=C–O–C= stretching). C-H and C=C linkage in

the aromatic rings showed absorption peaks at 3055-3119 cm-1 and, respectively, 1497-1486

cm-1 and 1593-1597 cm–1. C-H and C=C linkages in the phenylene, naphthalene or perylene

cores showed absorption peaks at 3120-3080 cm-1 and, respectively, 1490-1480 cm-1 and

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1590-1600 cm-1. The incorporation of the tetramethyldisiloxane units in the polymer chain

was evidenced by the clear absorption peaks in the range of 2958-2852 cm-1 (aliphatic C–H

stretching, CH3 groups), 1243-1256 cm-1 (Si–CH3 deformation), 1120-1179 cm-1 (silicon–

phenyl bond), 1064-1066 cm-1 (Si–O–Si asymmetric stretching) and 785-796 cm-1 (Si–CH3

stretching). The strong absorption bands attributed to the presence of aromatic ether stretching

in FTIR spectra of polymers P2, P3 and P4, in the range of 1243-1248 cm-1 is overlapped

with aliphatic C–Si deformation bands.

It is known that the majority of polyheteroarylenes based on PTCDA are difficult to

process, being infusible and insoluble in common organic solvents and soluble only in m-

cresol. This behaviour is due to the rigid nature of perylenediimide unit which dictates the

overall shape of the corresponding macromolecules and thus facilitates the strong interchain

interactions, and due to the compact aggregation of the polymer chains which occurs during

imidization carried out at high temperatures [35]. Our poly(peryleneimides) containing

oxadiazole and siloxane units are soluble in one convenient aprotic amidic solvent, which is

NMP, at a concentration of 0.5-1% due to the presence of flexible tetramethyldisiloxane units

and oxadiazole rings that introduce ‘‘kinks” in the macromolecular structure of these

copolyimides, thus resulting in a higher solubility compared with their analogues without

these units. Oxadiazole rings and the flexible groups, such as ether or tetramethyldisiloxane,

introduce a deviation from the linearity of the chain and disturb the tight packing of the

polymer chains and make the shape of the respective macromolecules far from a linear rigid

rod which is characteristic to aromatic polyimides based only on PTCDA.

The inherent viscosity values of these polymers are in the range of 0.1-0.14 dL/g.

These low values of viscosity can be explained in terms of lower electrophilic reactivity of

six-membered anhydride rings compared to their five-membered analogs, which may be

largely attributed to the fact that a six-membered anhydride has no strain [36]. Comparable

values of viscosity have been obtained by us for similar copolyimides made from the same

PTCDA and oxadiazole-containing diamines, but with another co-dianhydride containing

flexible units, namely hexafluoroisopropylidene bis(phthalic anhydride) [37]; thus it is clearly

proved that the viscosity of the resulting polyperyleneimides depends strongly on the structure

of the monomers and on the reaction conditions, and that the introduction of rigid perylene

moieties into polyimides hampers the formation of products with high viscosity values. Here,

we intended to use as much as possible eco-friendly reaction conditions, avoiding the

utilization of m-cresol, which is the most frequently used solvent in the synthesis of such

polymers; m-cresol has an offensive odor and is more dangerous to health when compared

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with NMP. Due to the insufficient solubility of these polymers in proper solvents as

dimethylformamide, the molecular weights measurement by gel permeation chromatography

was not possible.

3.2. Thermal properties

The thermal properties of the polyperyleneimides P1-P4 were evaluated by means of

DSC and TGA. The thermal behavior data of the polymers are summarized in Table 1 and

representative TGA curves are shown in Figure 3.

..................................... Table 1. Figure 3.

...................................... The polymers showed excellent thermal stability, as expected in the case of

polyperyleneimides. The initial decomposition temperatures (IDT) of the siloxane-containing

polyimides were about 457–490°C, the temperatures of 10% gravimetric loss (T10%), that are

important criterion for evaluation of thermal stability, were in the range of 459-499°C, while

the temperature corresponding to the maximum rate of decomposition was above 501°C,

indicating a high thermal stability. For each sample, the degradation process is not complete,

the char yields of those polyimides at 800°C being higher than 49%. The polymer containing

ether bridges and only para-catenation, P2, shows the highest decomposition temperatures,

being of 490°C, while the copolyimide containing meta-catenation, P3, shows a slightly lower

decomposition temperature, of 475°C, as evaluated by the values of the temperature when the

decomposition starts. Unexpectedly, polyperyleneimide P4 showed the lowest initial

decomposition temperature and the highest char yield at 800°C, up to 57%. Probably, the

segment formed by the rigid, but voluminous unit of naphthalene connected through an ether

linkage to the rest of the macromolecule reduces the chain interactions.

The glass transition temperature of the polymers measured by differential scanning

calorimetry (DSC) is in the range of 187-227°C. The thermograms of those polymers are

shown in figure 4, in which broad endothermic inflections can by observed.

...................................... Figure 4

.........................................

Generally, the glass transition temperatures of polymers depend upon the chain

flexibility, free volume and interchain stacking, being an indication of molecular mobility. In

our case, the values of glass transition temperatures are in close relation with the structure of

the copolymers, being dependent on the structure of the diamine component. For example,

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polyperyleneimide P2 has the lowest glass transitions temperature (186°C) because the

macromolecules are much more linear, the para-attachment of ether linkages to phenyl rings

in this aromatic and heterocyclic structure leading to highly rigid rod-like macromolecules.

Thus, the macromolecules can slide past each other, being connected with a smaller quantity

of energy necessary for the relaxation of the macromolecules. The difference between

copolymers P1 and P2 consists of the absence of ether groups in P1, which leads to less

flexible macromolecules, and this is correlated with the higher glass transition temperature

(200°C). Although the P3 copolymer contains ether groups in the structure, coming from the

diamine component, the value of the glass transition temperature is high (195°C). The

presence of some meta-linkages in this polymer backbone results in less mobile

macromolecules, due to the steric effect of the meta-catenated phenylene rings that dictate the

packing of the macromolecules in a more coiled form and thus, a higher energy is necessary

to increase the mobility of the macromolecules. Polyperyleneimide P4 has the highest value

of glass transition temperature (227°C), for which a collection of effects could be responsible

including steric hindrance, rigidity and free volume induced by naphthalene moiety that

behaves like a meta-catenated penylene unit. All these data are sustained by the molecular

models (4 repeating units) of these polymers that visualize the structures obtained after energy

minimization and clearly evidenced more linear, rod -like but still flexible shape of polymer

chains P1 and P2, and more coiled conformations of polymer chains P3 and P4. Figure 5

presents representative molecular models of these polymers.

.................................. Figure 5

........................................

3.3. X-ray diffraction studies

The synthesized copolymers P1-P4 contain a perylene unit which has the tendency to

form columnar phases because of the strong π-π interactions. The ability of self-assembly in

supramolecular architectures was checked by wide angle X-ray diffraction (XRD)

measurements. XRD investigation revealed that the siloxane-containing polyperyleneimides

P3 and P4 showed only one broad halo that indicates an amorphous state due to molecular

disorder (figure 6). Most probably, the molecular disorder was induced by the meta-catenated

phenylene units in P3, and by naphthyl units that behave like meta-catenated penylene

moieties in P4 polymer main chains, disrupting their planarity and hence the possibility of

self-assembling.

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................................... Figure 6

................................... The XRD patterns of polyperyleneimides P1 and P2 are quite different. P1 shows the

X-ray pattern consisting in two amorphous halos in the range of 10–20o and 20–30o (2 theta

degrees), and seven peaks located around 9.28o, 10.51o, 12.27o, 23.2o, 24.76°, 26.06° and

27.62o (2 theta degrees) (figure 6). This XRD pattern indicates the presence of what we define

as a semicrystalline state, which was formed during solution polycondensation reaction of

polyperyleneimide P1. In the diffraction pattern of P2, only a broad intense peak appeared at

15.22° (2 theta degrees), indicating a lower degree of crystallinity of P2 compared to P1. The

position and peak shape are clearly dependent on structure of the diamine monomer and on

the monomers ratio used in the polymers syntheses.

Usually, as confirmed by X-ray diffraction of several single crystals, the perylene

units exhibit flat π-systems, which are arranged in stacks showing a parallel orientation of the

neighboring, cofacially stacked perylene cores [38]. In the case of X-ray diffraction pattern of

P1, the π-π stacking of the perylene cores into columns gives two peaks at 24.76o and 27.62o

(2 theta degrees) being located above a diffuse halo, which means that the columns are

slightly disordered and can slide past each other. The explanation for the close stacking into

perylene columns could be the rigid imide rings which restrict the rotation and enhance the

interactions of perylene discs to stabilize the columns by facilitating face-to-face packing

motifs. Taking into account that the supramolecular architecture is dictated by π-stacking of

the perylene cores, the reflections in the middle angle region (9.28o, 10.51o, 12.27o, 2 theta

degrees for P1 and 15.22°, 2 theta degrees for P2) may be attributed to the tilted perylene

discs [37]. This fact indicates that the columnar stacks have various orientations. In

conclusion, only P1 and P2 are able to form supramolecular architectures consisting in

columns of perylene units that are statistically distributed into amorphous part of the polymer

sample. This conclusion is consistent with SEM images which will be discussed later.

3.4. Morphological studies of the polymer films

Very thin films having the thickness in the 100-150 nanometer range were deposited

by drop-casting technique onto glass plates, by using very diluted solutions of polymers P1-

P4 (concentration of 10-3 M). The quality and the morphology of these films were studied by

scanning electron microscopy (SEM). The solid-state packing behavior of these copolymers

was hypothesized based on their aggregation characteristics in solid state [37], and the

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morphology of the obtained supramolecular assembly was intuitively reflected in SEM

images (Figure 7). SEM images of the deposited copolyimide films show that the polymers

P1 and P2 are organized into self-assembled well-ordered building blocks that form

supramolecular rod-like structures; these aggregates mainly result from π-π stacking

interactions of perylenediimide units. The crystalline films of the other two polymers, P3 and

P4 are not organized in a rod-like structure, implying that the π-π stacking interactions of

perylenediimide units in these polymers are hampered by the presence of kinking units, meta-

phenylene and naphthalene; these data are in close correlation with TGA data and molecular

modelling obtained for these polymers.

..................................... Figure 7

.......................................

3.5. Photo-optical behavior of polymers

Since both 1,3,4-oxadiazole and perylenediimide are known fluorophores that emit

light in the blue and, respectively, red spectral range, the synthesized copolymers P1-P4

containing these chromophores were investigated in detail with respect to their photo-optical

properties. The photo-optical behavior of P1-P4 was assessed on the basis of the UV-Vis

absorption and photoluminescence spectra which were recorded for polymer solutions in

NMP and for thin films made from NMP solutions, after excitation with UV or visible light.

The chromaticity diagrams were also recorded in order to survey the color of the emitted

light.

Figures 8 and 9 show the absorption spectra of NMP solutions and of cast films from

NMP solutions of siloxane-containing copolyimides P1-P4.

................................... Figure 8 Figure 9

................................... All the oxadiazole-containing copoly(peryleneimide)s show one strong UV absorption

maximum at 301-310 nm, and two peaks at 471-486 nm and 513-517 nm, in NMP solutions,

the spectra being quite identical (Table 2).

............................ Table 2

............................ The absorption maxima at 301-310 nm of these polyimides are mainly determined by

the diphenyl-1,3,4-oxadiazole chromophore, while the absorption peaks at 471-486 nm and

513-517 nm are due to the chain segments containing perylenediimide units and are much

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lower in intensity as compared with the absorption bands characteristic of diphenyl-1,3,4-

oxadiazole. In films cast from NMP all of the copolyimides presented the main absorption

maximum between 300 and 307 nm due to the π-π* transitions involving the oxadiazole

chromophore, while very weak peaks appeared in the range of 502-543 nm, being attributed

to the absorption of perylenediimide units. No significant shift was noticed in the films as

compared with the absorption of the solutions in the case of polymers P2, P3 and P4, while

the absorption maximum of P1 is centered at 302 nm, being blue-shifted with respect to the

absorption of the isolated molecules (table 2). Interestingly, while most conjugated polymers

exhibit bathochromic shifts from solution to solid state, the absorption spectra of this new

polymer exhibits hypsochromic shifts in thin films, which is indicative of a solid-state

organization of the oxadiazole chromophore through aggregation in a parallel way, plane to

plane stacking, to form a sandwich-type arrangement. Similar behaviour was observed by us

in the case of other polymers containing the phenyloxadiazole chromophore [39]. The absence

of any aggregation with respect to oxadiazole units in the case of polymers P2, P3 and P4

could be explained in terms of presence of two ether aromatic linkages in the diamine

segment, which partially disturb the electronic conjugation and prevent the close packing of

the macromolecules through physical interactions. The noticeable red-shift of the absorption

maxima characteristic to perylenediimide units in the solid state with respect to solution could

be explained by the fact that the surrounding chromophore polarity became weaker, and the

intermolecular interaction of the polymer backbones became stronger. In fact, the tendency of

perylenediimide units to form columnar phases through strong π-π interactions is well known

[40], these aggregates preventing the self-absorbance of visible light.

The photoluminescence (PL) ability of these polymers was investigated by exciting

with light of different wavelengths, and the color of the PL emission was surveyed on the

basis of chromaticity coordinates, according to the available CIE 1931 (Comission

Internationale de I'Éclairage) standard [41]. Maximum emission wavelength values of

copoly(peryleneimide)s P1-P4 in solution and the CIE coordinates are collected in Table 3.

............................. Table 3

........................... By exciting at the maximum absorption wavelength characteristic to diphenyl-1,3,4-

oxadiazole chromophore (308-310 nm) and at 360 nm, polyperyleneimide P1 displayed

similar spectra with one strong and large emission band centered at 417 nm and,

respectiveley, 429 nm, in the blue domain, due to the emission of oxadiazole, imide and

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phenylene rings, and one maximum in the green spectral range, at 522 nm due to the emission

of perylenediimide moieties (Figure 10).

............................... Figure 10

.................................

When excited with light of 300 nm, polyimides P2 and P3 behave similarly, showing

one weak emission band in the UV domain, centered at about 371 nm, and one strong band

within 526-529 nm range. Polyperyleneimide P3 presented one additional shoulder at 581 nm

characteristic for perylenediimide fluorophore. The bands from the UV domain of these

polymers are red-shifted to 454 nm and 447 nm (blue domain), when excitation was

performed with light of 360 nm wavelength (Table 3, Figure 11).

.............................. Figure 11

.................................. In a previous study regarding the photo-optical behavior of related polymers containing

haxafluoroisopropylidene units instead of tetramethyldisiloxane we have demonstrated that

the PL emission that occured in the UV-domain is mainly determined by segments containing

five-imide rings and not by the diphenyloxadiazole chromophore, and it is shifted towards the

blue region by lowering of the energy of excitation [37]. The PL spectra of the present

polymers P1, P2 and P3 also show a very strong emission of perylenediimide moieties, while

the emission of oxadiazole moieties is completely quenched in case of polyimides P2 and P3,

when the excitation was done with the wavelength characteristic to diphenyloxadiazole (300-

310 nm). Because the perylenediimide moieties did not directly absorb these wavelengths of

light, an excitation energy transfer, known as the FRET phenomenon, from the oxadiazole to

the perylenediimide moieties must have taken place. In the case of P2 and P3 the entire

emitted light by oxadiazole was absorbed by perylenediimide, whereas in the case of P1 only

part of excitation energy was transferred to perylenediimide. A similar effect was reported by

us and by other authors on related polymers [42]. It appears that in the excited state, the

oxygen acts as a better bridge for the delocalization of the charge. When P2 and P3 solutions

were excited with 360 nm, the emission at 520-526 nm characteristic to perylenediimide was

weak, being the same intensity as that from the blue domain (figure 11). In this case, the

phenyloxadiazole units do not absorb light of 360 mn, and the emission from perylenediimide

may come from an excitation energy transfer from conjugated segments containing the five-

membered imide ring.

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Different behavior must be noted in the case of P1 which does not contain ether

bridges. By excitation with the UV light of 360 nm, the PL spectrum consist of two strong

bands of similar intensity, at 429 and 522 nm, while by excitation at 310 nm a similar

spectrum was obtained, with a less intense band in the blue domain (Figure 10). This means,

that the emitted blue light is much stronger by excitation at 360 nm and the FRET

phenomenon is less intensive as compared with excitation at 310 nm. This behavior is clearly

reflected in the fluorescence quantum yield (Φfl) values being 2.2 times higher at 360 nm (Φfl

= 10.91 %) as compared with 310 nm (Φfl = 4.92 %). Very low quantum yield of fluorescence

was obtained for P2 and P3, below 0.5 %, by excitation at about 300 nm, and around 1 % by

excitation at 360 nm, probably due to the limitation of the apparatus that allowed only the

light emitted in the blue spectral range to be measured.

Poly(peryleneimide) P4 showed both UV (386 nm) and blue light emission at 418 and

437 nm, coming from five-imide and naphthalene moieties and a weak and broad emission at

514 nm, due to the perylenediimide fluorophore upon excitation at 308 nm (figure 10). It

should be noted here that the emission band from the blue domain is very narrow and intense,

being much higher in intensity as compared with the absorption bands characteristic of

perylenediimide. This band decreases in intensity when the excitation is made with 360 nm

irradiation, while the PL intensity band at 514 nm increases. Taking into account that the PL

peak in UV domain is due to the five-imide ring emission and this polymer contains ether

bridges, we may assume that the emission in the blue domain is due to the naphthalene

fluorophore and an excitation energy transfer took place from the oxadiazole, and perhaps the

naphthalene, to the perylenediimide, for which ether bridges appear to be responsible, as in

the case of polyperyleneimides P2 and P3. This statement is reinforced by the photo-physical

behavior of this polymer upon excitation at 360 nm, a UV light that is not absorbed by the

oxadiazole ring, but only the naphthalene unit, the PL spectrum in the blue and green regions

being similar to that obtained by excitation at 308 nm (figure 10). Even in this case, the FRET

pehenomenon from naphthlene to perylenediimide units took placed to some extent. The

values of the quantum yield of fluorescence are also low, as in the case of P2 and P3, being

0.65 %, by excitation at 308 nm, and 0.84 % by excitation at 360 nm, proving the existence of

the excitation energy transfer at both excitation wavelengths.

In the study of color perception, one of the first mathematically defined color spaces is

the CIE-1931 XYZ color space [41]. The chromatic sensation of human eyes to a specific

optical spectrum is usually characterized by a chromaticity diagram. According to the

available CIE standard, the chromaticity coordinates of our polymers depend on the excitation

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wavelength. As shown in figure 12, they are located in the blue and green region of the

chromaticity diagram, except for polymer P3, at 303 nm excitation, which are out of the

diagram. The chromaticity coordinates of P2 and P4, obtained by excitation at the maximum

absorption wavelength characteristic to diphenyloxadiazole unit are located on the spectral

locus and correspond to pure hue blue light of a single wavelength. The CIE coordinates

corresponding to P2, P3 and P4, obtained by exciting at 360 nm, are shifted inside of the

chromaticity diagram, indicating a less saturated light, coming from the mixing of blue and

green. Polyperyleneimide P1 has very close CIE coordinates by excitation at both 310 and

360 nm, being located in the blue region, which means that this polymer emits similar, pure

blue light by excitation at these two wavelengths.

....................................... Figure 12

......................................... The emission spectra of copoly(peryleneimide)s P1-P4 in NMP solution excited by a

473-524 nm light, showed one broad peak at 532-552 nm, except for P3 that exhibited two

peaks at 537 and 581 nm, which corresponded to the emission of perylenediimide moieties

(Table 3). The values of fluorescence quantum yield depend on the excitation wavelength and

on the structure of the polymer. Generally, the highest PL intensities and fluorescence

quantum yields were obtained at the highest energy of excitation (480-485 nm) corresponding

to the perylenediimide. The absolute values of fluorescence quantum yield (Φfl) of the

copolymers P1-P4 in solution, measured using an integrating sphere, reach 23.87 % and

17.99 % for P1, 12.95% and 9.50 % for P4, 9.69 % and 4.42 % for P3, by excitation at 480

nm and at 525 nm, respectively. P2 showed a very low value of fluorescence quantum yield

(Φfl = 0.75), when excited at 502 nm. The chromaticity coordinates of all siloxane-containing

poly(peryleneimides), obtained by excitation at the maximum absorption wavelength

characteristic to perylenediimide are located on the spectral locus and correspond to pure

saturated orange monochromatic light (figure 12).

The photoluminescent behavior of copolyperyleneimides P1-P4 changed significantly

from solution to solid state. The light-emitting ability of these polymers in films was observed

only by exciting at the maximum absorption wavelength characteristic to the diphenyl-1,3,4-

oxadiazole chromophore and 360 nm (table 4). Representative spectra of polymer P4 are

shown in figure 13. The PL spectra of these polymer films obtained by excitation with about

300 nm, exhibit one emission maxima in the UV domain within 353-366 nm, several

shoulders in the blue domain, in the range of 418-422 nm, 439-444 nm and 481-485 nm, due

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to the emission of diphenyl-oxadiazole, phthalimide, phenylene segments and, additionally, in

the case of P4, due to the naphthalene units. Very weak emission peaks characteristic to

perylenediimide moieties centered at 522 and 537 nm were registered only in the case of P3,

the more flexible and less packed polymer.

............................... Table 4

Figure 13 ...................................

When the excitation was performed with UV light of 360 nm, the PL spectra of all

polymers were similar and displayed two sharp strong PL peaks in the blue domain at 412-

416 nm and 434-438 nm, and a shoulder at 471-474 nm, with no emission peaks characteristic

to perylenediimide moiety. No emission attributed to this chromophore was observed when

the excitation was performed at even higher wavelengths. This behavior can be ascribed to the

high content of the perylenediimide cromophore which leads to fluorescence quenching

through aggregation. The CIE coordinates corresponding to polymers P1-P4, obtained by

exciting at about 300 and 360 nm are inside of the chromaticity diagram, in the blue region,

indicating the ability of these polymers to emit blue light of different shades: hue pure blue

light or a less saturated light, coming from the mixing of blue and green or blue and violet

colours (figure 12). Very low fluorescence quantum yields, less than 1%, were obtained in

thin films at both excitation wavelengths, proving that the aggregation played an important

role in fluorescence behavior of these polyperyleneimides in the solid state.

4. CONCLUSIONS

Study of the photo-optical behaviour with an emphasis on the ability of light colour

modulation of new poly(peryleneimides) containing two chromophores, oxadiazole and

perylenediimide, and flexible siloxane bridges in the main chain was the main objective of

this work. The copolymers were successfully synthesized by one step solution

polycondensation reaction at high temperatures and their structures were confirmed by FT-IR

and 1H-NMR analyses. These copoly(oxadiazole-peryleneimide)s were soluble in 1-methyl-2-

pyrrolidinone and their solutions were cast into transparent coatings having strong adhesion to

the various supports. These copolymers are highly thermostable, up to 457°C, and display

glass transition in the range of 187-227°C. X-ray diffraction studies revealed a semicrystalline

state only for two polymers, coming from the π-stacking of the perylene cores, and an

amorphous state for the other two polymers. The self-assembling of the semicrystalline

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copolyimides in thin films into π stacking rods was evidenced by scanning electron

microscopy. The photo-optical properties of these copolymers were assessed on the basis of

UV-Vis absorption and photoluminescence spectra recorded for polymer solutions and for

thin films, after excitation with UV or visible light. The fluorescence quantum yields and

chromaticity diagrams were recorded, as well, in order to survey the colour of the emitted

light. The light emission of these polymers depends on the structure of the diamine

component and on the excitation wavelengths. Thus, by excitation with UV light of different

wavelengths all polymers showed blue and green light emission in solution, as was surveyed

in the chromaticity diagrams. The FRET phenomenon from oxadiazole to perylenediimide

chromophores was observed to occur for some polymers, for which the oxygen bridge appears

to be essential. By excitation with visible light of different wavelengths, pure hue orange light

of various shades and high fluorescence quantum yields, up to 24 %, were obtained. In solid

state, the light-emitting ability of these polymers was observed only by exciting at the

maximum absorption wavelength characteristic to the diphenyl-1,3,4-oxadiazole chromophore

and 360 nm. The chromaticity coordinates are located in the blue region, indicating the ability

of these polymers to emit blue light of various shades: hue pure blue light or a less saturated

light, coming from the mixing of blue and green or blue and violet colours. The nice balance

of high-performance properties encountered in these copolymers containing perylenediimide,

oxadiazole and siloxane units provides an important guideline for the design of new materials

that can be used to fabricate optical devices with high stability.

ACKNOWLEDGEMENTS:

The financial support provided by CNCSIS-UEFISCDI through the Project PN II-RU,

code TE_221, no. 31/2010 is acknowledged with great pleasure.

The authors are grateful to Dr. Ioana Moleavin from ''Petru Poni'' Institute of

Macromolecular Chemistry, Iasi-Romania, for the fluorescence quantum yields

measurements.

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Liquid Crystalline Perylene Diimides:  Architecture and Charge Carrier Mobilities. J Am

Chem Soc 2000;122:11057–66.

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List of figure and table captions

Scheme 1. Structures of the monomers (diamines and dianhydrides).

Scheme 2. Synthesis of polyperyleneimides containing oxadiazole and siloxane units.

Figure 1. NMR spectrum of P4 (top: aromatic region, down: aliphatic region)

Figure 2. FTIR spectrum of siloxane-containing polyperyleneimide P3

Figure 3. TGA curves of polyperyleneimide P1.

Figure 4. DSC curves of siloxane-containing polyperyleneimides P1-P4

Figure 5. Models of polyperyleneimides containing oxadiazole and tetramethyldisiloxane

units, P1 and P4.

Figure 6. XRD patterns of siloxane- and oxadiazole-containing polyperyleneimides P1-P4.

Figure 7. SEM image of a thin film made from P1

Figure 8. UV-vis absorption spectra in solution of siloxane-containing polyperyleneimides

P1-P4 (the inset represents a zoom of the region were perylenediimide units absorb)

Figure 9. UV-vis absorption spectra in solid state of siloxane-containing polyperyleneimides

P1-P4 (the inset represents a zoom of the region were perylenediimide units absorb)

Figure 10. PL spectra of P1 and P4 in NMP solution

Figure 11. PL spectra of P2 in NMP solution when excited with light of various wavelengths

Figure 12. Chromaticity diagrams of polyperyleneimides P1-P4.

Figure 13. Photoluminescence spectra of thin films of copolyimide P4.

Table 1. Thermal properties of siloxane-containing polyperyleneimides P1-P4

Table 2. UV-vis absorption properties of polymers P1-P4

Table 3. Photoluminescence (PL) and chromaticity coordinates of polymers P1-P4 in solution

Table 4. Photoluminescence (PL) and chromaticity coordinates of polymer films P1-P4

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Highlights

• New polyperyleneimides containing oxadiazole and siloxane units were prepared

• Some of the thin films prepared were organized into self-assembled rod-like structures

• FRET phenomenon from oxadiazole to perylenediimide units was observed in solution

• High fluorescence quantum yields, up to 24 %, were obtained in solution

• The color of the emitted light was modulated as a function of the excitation wavelength

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Table 1. Thermal properties of siloxane-containing polyperyleneimides P1-P4

Polymer Tg (oC) IDT (

°C) T10% (°C) Tmax (

°C) W800 (%)

P1 200 470 485 505 49.85

P2 187 490 499 519 49.56

P3 195 475 481 510 49.86

P4 227 457 459 501 56.9

Tg = glass transition temperature;

IDT = onset on the TG curve;

T10% = temperature of 10% weight loss on the TG curve;

Tmax= temperature of maximum rate of decomposition

W800 = residue at 800°C

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Table 2. UV-vis absorption properties of polymers P1-P4

Polymer P1 P2 P3 P4

UV, sol

λmax, nm

310, 332s, 486,

524 300, 473, 513 303, 487, 513

308, 459s, 486,

517

UV, film

λmax, nm

302, 503, 519,

541 302, 503, 518

300, 502, 519,

543 307, 502, 538

λmax - wavelength of the maximum absorption peak

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Table 3. Photoluminescence (PL) and chromaticity coordinates of polymers P1-P4 in solution

PL (303-310 nm) PL (360 nm) PL (480-490 nm) PL (504-525 nm)

Polymer

λλλλem, nm CIE

X Y

λλλλem, nm CIE

X Y

λλλλem, nm

CIE X Y

λλλλem, nm

CIE X Y

P1 417, 522 0.175 0.108

429, 522 0.186 0.122

540, 579s 0.471 0.517

581 0.556 0.443

P2 371, 526 0.176 0.006

454, 520 0.180 0.427

532 - 576 0.524 0.474

P3 371, 529,

581 0.463 1.571

447, 526, 580

0.049 0.602

534, 580 0.493 0.495

537, 581 0.557 0.442

P4 386, 418, 437s, 514

0.166 0.009

418, 444, 514

0.110 0.349

552 0.486 0.507

560 0.542 0.457

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Table 4. Photoluminescence (PL) and chromaticity coordinates of polymer films P1-P4

PL (300-307 nm) λλλλem, nm

PL (360 nm) λλλλem, nm

Polymer Film

CIE X

Y Film

CIE X

Y

P1 365, 422, 444, 485 0.242 0.322

414, 438, 470s 0.163 0.194

P2 353, 422, 443, 485 0.239 0.318

416, 434, 470s, 522, 537

0.155 0,185

P3 360, 418, 442, 482 0.216 0.306

412, 436, 471s 0.273 0.237

P4 366, 419, 439, 481 0.257 0.309

416, 436, 474s 0.166 0.205

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