scispace - formally typeset
Search or ask a question
Journal ArticleDOI

Molecular Engineering of Nonhalogenated Solution-Processable Bithiazole-Based Electron-Transport Polymeric Semiconductors

TL;DR: In this article, 2,2′-bithiazole was synthesized in one step and copolymerized with dithienyldiketopyrrolopyrrole to afford poly(dithienymylldiketsopyrylopyrdrug-biomethane)-bithiaide, PDBTz, which exhibited electron mobility reaching 0.3 cm2 V 1 s−1 in organic field effect transistor (OFET) configuration.
Abstract: The electron deficiency and trans-planar conformation of bithiazole is potentially beneficial for the electron-transport performance of organic semiconductors. However, the incorporation of bithiazole into polymers through a facile synthetic strategy remains a challenge. Herein, 2,2′-bithiazole was synthesized in one step and copolymerized with dithienyldiketopyrrolopyrrole to afford poly(dithienyldiketopyrrolopyrrole-bithiazole), PDBTz. PDBTz exhibited electron mobility reaching 0.3 cm2 V–1 s–1 in organic field-effect transistor (OFET) configuration; this contrasts with a recently discussed isoelectronic conjugated polymer comprising an electron-rich bithiophene and dithienyldiketopyrrolopyrrole, which displays merely hole-transport characteristics. This inversion of charge-carrier transport characteristics confirms the significant potential for bithiazole in the development of electron-transport semiconducting materials. Branched 5-decylheptacyl side chains were incorporated into PDBTz to enhance polyme...

Summary (2 min read)

1. Introduction

  • Side chain substitution on the bithiazole and dithienyl groups was avoided to minimize steric effects within the PDBTz backbone.
  • Branched 5-decylheptadecyl (5-DH) side chains were utilized as they had been shown in their previous study to facilitate both polymer solubility and effective π-π inter-chain interactions by virtue of having a branch point remote from the polymeric main chain. [38].
  • Such a side chain was incorporated into the TDPP unit to promote π-π inter-chain interactions and solubility in a wide range of solvents including non-halogenated options such as xylenes or 1,2,3,4-tetrahydronaphthalene (THN), which are more eco-friendly than halogenated alternatives.

2.1. Polymer Synthesis, Solubility, and Thermal Properties

  • PDBTz is stable up to 417 °C (see TGA characterization, Table 2 and Figure S7 ), indicating high thermal stability.
  • The polymer exhibits one endothermic (T h = -44 °C) and one exothermic transition (T c = -47 °C) upon heating and cooling, respectively (see DSC characterization, Table 2 and Figure S7 ).
  • In light of prior results using the same substituent, this most likely corresponds to the disordering and reordering processes associated with the 5-DH side chains. [38].

.2. Photophysical Properties

  • The spectroscopic features of PDBTz solutions in the different solvents are quite similar.
  • The absorption spectra of PDBTz thin-films (Figure 2b ) are essentially identical to those of the solution spectra, suggesting a similar rigid polymer chain conformation in the solid state as in solution.
  • Taking account of low PDBTz concentration in solution (10 -6 M in Figure 2a ), PDBTz has strong inter-chain interactions.
  • Based on the absorption onset, the optical band gap (E g opt ) of PDBTz is estimated as 1.33 eV.

2.3. Characterization of Electronic Structure

  • EV) [52] were selected as source and drain electrodes in TCBG and BCTG devices, respectively (Figure 2d ).
  • Comparable electron transport performance was determined for PDBTz-based BCTG OFETs with CYTOP/Al 2 O 3 as dielectric and encapsulation bilayers.
  • No appreciable changes were observed in I ON/OFF and only a small decrease in µ e was observed over this period (Figure 3d,h ).
  • Further enhancement of device stability against O 2 and H 2 O is expected through inorganic/organic multilayer encapsulation. [53].
  • PDBTz possesses similar solubility in non-halogenated o-xylene, p-xylene, and THN, as in DCB (vide supra).

2.5. Thin film morphology and microstructure

  • After annealing, all PDBTz films exhibited a reduction in FWHM and corresponding improvement in coherence length for both <100> and <010> patterns (Figure 6b, f and c, g ), together with a 3-10% increase in rDoC, which correlate well with the observed increase in electron mobility upon annealing.
  • In consideration of the subtle increase in orientation distribution within all four PDBTz films after thermal annealing, as shown by changes in S and ∆χ FWMH (Table 5 ), annealing primarily impacts PDBTz ordering and grain size, while crystallite growth likely proceeds equally along each orientation distribution direction.
  • The microstructure and morphology analyses demonstrate that the processing solvents have similar effect on the morphology, molecular ordering, orientation, and rDoC of PDBTz films, in good accord with very similar electron transport properties for the respective samples.

ACS Paragon Plus Environment

  • Comparison of PDBTz with PDQT Several groups have reported the copolymerization of bithiophene-containing monomers and TDPP to afford poly(diketopyrrolopyrrole-quaterthiophene), PDQT, [35] [36] [37] whose chemical structure is shown in Figure 1d .
  • Electrochemical studies of PDQT reveal reversible oxidation, and hole transport properties are observed in OFETs prepared from this material.
  • In contrast, PDBTz, where the bithiophene segment of each PDQT repeat unit is replaced by bithiazole, displays reversible electrochemical reduction and electron transport behavior.
  • Density functional theory (DFT) calculations using tuned-ωB97X/cc-pVDZ were utilized to first explore the torsional potentials of PDBTz and PDQT subunits; the results were compared to reference single-point SCS-MP2 calculations (Figure 1a , see S.I. for details). [56] [57] [58].
  • The calculations indicate that within one PDBTz repeat unit, the bithiazole segment adopts a trans coplanar conformation with a dihedral angle (φ) of 180° between the two thiazole rings (Figure 1a ).

Did you find this useful? Give us your feedback

Content maybe subject to copyright    Report

Molecular Engineering of Non-Halogenated
Solution-Processable Bithiazole based
Electron Transport Polymeric Semiconductors
Item Type Article
Authors Fu, Boyi; Wang, Cheng-Yin; Rose, Bradley Daniel; Jiang, Yundi;
Chang, Mincheol; Chu, Ping-Hsun; Yuan, Zhibo; Fuentes-
Hernandez, Canek; Bernard, Kippelen; Bredas, Jean-Luc;
Collard, David M.; Reichmanis, Elsa
Citation Molecular Engineering of Non-Halogenated Solution-Processable
Bithiazole based Electron Transport Polymeric Semiconductors
2015:150401105405000 Chemistry of Materials
Eprint version Post-print
DOI 10.1021/acs.chemmater.5b00173
Publisher American Chemical Society (ACS)
Journal Chemistry of Materials
Rights Archived with thanks to Chemistry of Materials
Download date 09/08/2022 22:51:34
Link to Item http://hdl.handle.net/10754/350202

Subscriber access provided by King Abdullah University of Science and Technology Library
Chemistry of Materials is published by the American Chemical Society. 1155 Sixteenth
Street N.W., Washington, DC 20036
Published by American Chemical Society. Copyright © American Chemical Society.
However, no copyright claim is made to original U.S. Government works, or works
produced by employees of any Commonwealth realm Crown government in the course
of their duties.
Article
Molecular Engineering of Non-Halogenated Solution-Processable
Bithiazole based Electron Transport Polymeric Semiconductors
Boyi Fu, Cheng-Yin Wang, Bradley D. Rose, Yundi Jiang, Mincheol Chang, Ping-Hsun Chu, Zhibo Yuan,
Canek Fuentes-Hernandez, Kippelen Bernard, Jean-Luc Bredas, David M. Collard, and Elsa Reichmanis
Chem. Mater., Just Accepted Manuscript • DOI: 10.1021/acs.chemmater.5b00173 • Publication Date (Web): 01 Apr 2015
Downloaded from http://pubs.acs.org on April 7, 2015
Just Accepted
“Just Accepted” manuscripts have been peer-reviewed and accepted for publication. They are posted
online prior to technical editing, formatting for publication and author proofing. The American Chemical
Society provides “Just Accepted” as a free service to the research community to expedite the
dissemination of scientific material as soon as possible after acceptance. “Just Accepted” manuscripts
appear in full in PDF format accompanied by an HTML abstract. “Just Accepted” manuscripts have been
fully peer reviewed, but should not be considered the official version of record. They are accessible to all
readers and citable by the Digital Object Identifier (DOI®). “Just Accepted” is an optional service offered
to authors. Therefore, the “Just Accepted” Web site may not include all articles that will be published
in the journal. After a manuscript is technically edited and formatted, it will be removed from the “Just
Accepted” Web site and published as an ASAP article. Note that technical editing may introduce minor
changes to the manuscript text and/or graphics which could affect content, and all legal disclaimers
and ethical guidelines that apply to the journal pertain. ACS cannot be held responsible for errors
or consequences arising from the use of information contained in these “Just Accepted” manuscripts.

1
Molecular Engineering of Non-Halogenated Solution-Processable Bithiazole based Electron
Transport Polymeric Semiconductors
Boyi Fu,
1
Cheng-Yin Wang,
2
Bradley D. Rose,
3
Yundi Jiang,
1
Mincheol Chang,
1
Ping-Hsun
Chu,
1
Zhibo Yuan,
4
Canek Fuentes-Hernandez,
2
Bernard Kippelen,
2
Jean-Luc Brédas,
3
David M.
Collard,
4
and Elsa Reichmanis
1,4,5*
1
School of Chemical & Biomolecular Engineering, Georgia Institute of Technology, 311 Ferst
Drive, Atlanta, GA 30332-0100, U.S.A
2
School of Electrical and Computer Engineering, Georgia Institute of Technology, 777 Atlantic
Dr NW, Atlanta, GA 30332-0250, U.S.A
3
Solar and Photovoltaics Engineering Research Center, King Abdullah University of Science and
Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia
4
School of Chemistry & Biochemistry, Georgia Institute of Technology, 901 Atlantic Drive,
Atlanta, GA 30332-0400, U.S.A
5
School of Materials Science and Engineering, Georgia Institute of Technology, 771 Ferst Drive,
Atlanta, GA 30332-0245, U.S.A.
* Corresponding author: ereichmanis@chbe.gatech.edu
Keywords: electron transport polymeric semiconductors, n-channel organic field-effect
transistors, bithiazole, non-halogenated solvents
Page 1 of 29
ACS Paragon Plus Environment
Chemistry of Materials
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60

2
Abstract:
The electron deficiency and trans planar conformation of bithiazole is potentially beneficial
for the electron transport performance of organic semiconductors. However, the incorporation of
bithiazole into polymers through a facile synthetic strategy remains a challenge. Herein, 2,2’-
bithiazole was synthesized in one step and copolymerized with dithienyldiketopyrrolopyrrole to
afford poly(dithienyldiketopyrrolopyrrole-bithiazole), PDBTz. PDBTz exhibited electron
mobility reaching 0.3 cm
2
V
-1
s
-1
in organic field-effect transistor (OFET) configuration; this
contrasts with a recently discussed isoelectronic conjugated polymer comprising an electron rich
bithiophene and dithienyldiketopyrrolopyrrole, which displays merely hole transport
characteristics. This inversion of charge carrier transport characteristics confirms the significant
potential for bithiazole in the development of electron transport semiconducting materials.
Branched 5-decylheptacyl side chains were incorporated into PDBTz to enhance polymer
solubility, particularly in non-halogenated, more environmentally compatible solvents. PDBTz
cast from a range of non-halogenated solvents exhibited film morphologies and field-effect
electron mobility similar to those cast from halogenated solvents.
1. Introduction
The development of high efficiency, air stable electron transport polymeric semiconductors
for organic electronic devices has attracted much attention due to their importance in the
fabrication of organic p-n junction devices, such as complementary-metal-oxide-semiconductor
(CMOS)-like logic circuits,
[1-2]
thermoelectrics,
[3]
hetero-junction photovoltaics,
[4-6]
and organic
light-emitting diodes.
[7-8]
For example, a combination of hole transport and electron transport
semiconductors with comparable mobility values is required to implement CMOS-like logic,
Page 2 of 29
ACS Paragon Plus Environment
Chemistry of Materials
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60

3
which is widely used in digital integrated circuits including microprocessors, microcontrollers,
and static random access memory devices.
[1, 9-10]
Significant advances in the development of hole
transport polymeric semiconductors have led to materials that demonstrate field-effect hole
mobilities of up to 20 cm
2
V
-1
s
-1
.
[11-12]
However, less progress has been made towards the
development of electron transport counterparts.
[13-16]
The more limited advances in this instance
result from challenges associated with the stabilization and delocalization of the lowest
unoccupied molecular orbital (LUMO) of π-conjugated polymers.
[7, 13, 17-18]
Stabilization of the
LUMO means raising the electron affinity, which can be realized by materials that consist of
electron-deficient conjugated repeat units.
[13, 18-20]
The LUMO delocalization can be enhanced by
backbone planarization and inter-chain stacking.
[21]
The 2,2’-bithiazole unit exhibits a number of features that could be attractive in the search for
electron transport conjugated polymers. The presence of electronegative nitrogen atoms lowers
the LUMO energy in comparison to analogs that consist of electron rich units such as thienyl
derivatives.
[22-26]
The trans conformation of bithiazole (with a dihedral angle between the
thiazole rings close to 180°, as confirmed by density functional theory, DFT, in this study, vide
infra) can promote polymer backbone planarity, which extends intrachain π-conjugation and
interchain π-π stacking, in comparison to analogs such as biphenyl that is not coplanar.
[27-29]
Thiazole has a large dipole moment of 1.6 D;
[30-31]
an antiparallel alignment between the two
thiazole moieties within bithiazole leads to a net zero dipole, which is one driving force for
planarization of bithiazole. Additionally, the large dipole of the thiazole unit could impart strong
dipole-dipole interactions between bithiazole-based polymer chains.
[32]
The bithiazole unit has been primarily used to build hole transport donor-acceptor π-
conjugated copolymers; bithiazole was considered as a weak acceptor. Recent studies indicated
Page 3 of 29
ACS Paragon Plus Environment
Chemistry of Materials
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60

Citations
More filters
Journal ArticleDOI
TL;DR: In this paper, the authors highlight recent major progress in the development of organic semiconductors as electron transport n-channel materials in organic field effect transistors (OFETs) and discuss three types of materials: small molecules, polymers, and n-doped small molecules and polymers.
Abstract: This review highlights recent major progress in the development of organic semiconductors as electron transport n-channel materials in organic field effect transistors (OFETs). Three types of materials are discussed: (1) small molecules, (2) polymers, and (3) n-doped small molecules and polymers. Much effort has been made in the modification of known building blocks, development of novel building blocks, and optimization of materials processing and device structures. These efforts have resulted in the achievement of record high electron mobilities for both small molecules (12.6 cm2 V−1 s−1) and polymers (14.9 cm2 V−1 s−1), which are approaching the highest hole mobilities achieved by p-type small molecules and polymers so far. In addition, n-doping of ambipolar and p-type organic semiconductors has proven to be an efficient approach to obtaining a greater number of n-type organic semiconductors. However, it is found that n-type organic semiconductors, in general, still lag behind p-type organic semiconductors in terms of carrier mobility and air stability. Further exploration of new building blocks for making novel materials and optimization of processing conditions and device structures are needed to improve the performance, particularly air stability.

324 citations

Journal ArticleDOI
13 Dec 2018-Chem
TL;DR: In this paper, the authors describe the recent progress of this field from four aspects: basic knowledge, material design strategies, solution-processable techniques, and functional applications of OFETs.

260 citations

Journal ArticleDOI
TL;DR: In this paper, the state-of-the-art solution-processable organic photovoltaics (OPV) devices are processed by hazardous halogenated solvents.

226 citations

Journal ArticleDOI
TL;DR: In this article, a computational screening procedure was used to introduce nitrogen atoms into isoindigo-based polymers and then the synthesis and fabrication of field effect transistors was carried out.
Abstract: One of the major challenges confronting organic electronics is the development of high-mobility semiconducting materials, especially n-channel and ambipolar semiconductors. Solution-processable semiconducting polymers have attracted much attention because of their tunable properties and their suitability for the fabrication of large-scale devices. Aza substitution has proven effective in electron-transport small-molecule semiconductors; however, high-performance polymeric semiconductors prepared by aza substitution are still lacking. We started with a computational screening procedure to introduce nitrogen atoms into isoindigo-based polymers and then proceeded with the synthesis and fabrication of field-effect transistors. The resulting 7,7′-diazaisoindigo-based polymers exhibit extensive π conjugation and high crystallinity with hole mobilities exceeding 7 cm2 V–1 s–1 with bottom-gate/bottom-contact configuration and ambipolar transport properties with top-gate/bottom-contact configuration in air. These ...

112 citations

Journal ArticleDOI
TL;DR: Direct arylation polymerization is a newly established synthetic protocol for atom economical, effective, and affordable preparation of conjugated polymers, which continue to be incredibly advantageous as operative materials for a diverse and continually evolving array of applications as discussed by the authors.

109 citations

References
More filters
Journal ArticleDOI
TL;DR: In this paper, a detailed study of correlation effects in the oxygen atom was conducted, and it was shown that primitive basis sets of primitive Gaussian functions effectively and efficiently describe correlation effects.
Abstract: In the past, basis sets for use in correlated molecular calculations have largely been taken from single configuration calculations. Recently, Almlof, Taylor, and co‐workers have found that basis sets of natural orbitals derived from correlated atomic calculations (ANOs) provide an excellent description of molecular correlation effects. We report here a careful study of correlation effects in the oxygen atom, establishing that compact sets of primitive Gaussian functions effectively and efficiently describe correlation effects i f the exponents of the functions are optimized in atomic correlated calculations, although the primitive (s p) functions for describing correlation effects can be taken from atomic Hartree–Fock calculations i f the appropriate primitive set is used. Test calculations on oxygen‐containing molecules indicate that these primitive basis sets describe molecular correlation effects as well as the ANO sets of Almlof and Taylor. Guided by the calculations on oxygen, basis sets for use in correlated atomic and molecular calculations were developed for all of the first row atoms from boron through neon and for hydrogen. As in the oxygen atom calculations, it was found that the incremental energy lowerings due to the addition of correlating functions fall into distinct groups. This leads to the concept of c o r r e l a t i o n c o n s i s t e n t b a s i s s e t s, i.e., sets which include all functions in a given group as well as all functions in any higher groups. Correlation consistent sets are given for all of the atoms considered. The most accurate sets determined in this way, [5s4p3d2f1g], consistently yield 99% of the correlation energy obtained with the corresponding ANO sets, even though the latter contains 50% more primitive functions and twice as many primitive polarization functions. It is estimated that this set yields 94%–97% of the total (HF+1+2) correlation energy for the atoms neon through boron.

26,705 citations

Journal ArticleDOI
TL;DR: Electronic Coupling in Oligoacene Derivatives: Factors Influencing Charge Mobility, and the Energy-Splitting-in-Dimer Method 3.1.
Abstract: 2.2. Materials 929 2.3. Factors Influencing Charge Mobility 931 2.3.1. Molecular Packing 931 2.3.2. Disorder 932 2.3.3. Temperature 933 2.3.4. Electric Field 934 2.3.5. Impurities 934 2.3.6. Pressure 934 2.3.7. Charge-Carrier Density 934 2.3.8. Size/molecular Weight 935 3. The Charge-Transport Parameters 935 3.1. Electronic Coupling 936 3.1.1. The Energy-Splitting-in-Dimer Method 936 3.1.2. The Orthogonality Issue 937 3.1.3. Impact of the Site Energy 937 3.1.4. Electronic Coupling in Oligoacene Derivatives 938

3,635 citations

Journal ArticleDOI
TL;DR: In this article, the open-circuit voltage of polymer solar cells constructed based on the structure of a low-bandgap polymer, PBDTTT, can be tuned, step by step, using different functional groups.
Abstract: Following the development of the bulk heterojunction1 structure, recent years have seen a dramatic improvement in the efficiency of polymer solar cells. Maximizing the open-circuit voltage in a low-bandgap polymer is one of the critical factors towards enabling high-efficiency solar cells. Study of the relation between open-circuit voltage and the energy levels of the donor/acceptor2 in bulk heterojunction polymer solar cells has stimulated interest in modifying the open-circuit voltage by tuning the energy levels of polymers3. Here, we show that the open-circuit voltage of polymer solar cells constructed based on the structure of a low-bandgap polymer, PBDTTT4, can be tuned, step by step, using different functional groups, to achieve values as high as 0.76 V. This increased open-circuit voltage combined with a high short-circuit current density results in a polymer solar cell with a power conversion efficiency as high as 6.77%, as certified by the National Renewable Energy Laboratory. Adding electron-withdrawing groups to the backbone of the polymer PBDTTT is shown to increase the open-circuit voltage of photovoltaic cells, resulting in a polymer solar-cell that has a certified power-conversion efficiency of 6.77%.

3,029 citations

Journal ArticleDOI
Chengliang Wang1, Huanli Dong1, Wenping Hu1, Yunqi Liu1, Daoben Zhu1 
TL;DR: The focus of this review will be on the performance analysis of π-conjugated systems in OFETs, a kind of device consisting of an organic semiconducting layer, a gate insulator layer, and three terminals that provide an important insight into the charge transport of ρconjugate systems.
Abstract: Since the discovery of highly conducting polyacetylene by Shirakawa, MacDiarmid, and Heeger in 1977, π-conjugated systems have attracted much attention as futuristic materials for the development and production of the next generation of electronics, that is, organic electronics. Conceptually, organic electronics are quite different from conventional inorganic solid state electronics because the structural versatility of organic semiconductors allows for the incorporation of functionality by molecular design. This versatility leads to a new era in the design of electronic devices. To date, the great number of π-conjugated semiconducting materials that have either been discovered or synthesized generate an exciting library of π-conjugated systems for use in organic electronics. 11 However, some key challenges for further advancement remain: the low mobility and stability of organic semiconductors, the lack of knowledge regarding structure property relationships for understanding the fundamental chemical aspects behind the structural design, and realization of desired properties. Organic field-effect transistors (OFETs) are a kind of device consisting of an organic semiconducting layer, a gate insulator layer, and three terminals (drain, source, and gate electrodes). OFETs are not only essential building blocks for the next generation of cheap and flexible organic circuits, but they also provide an important insight into the charge transport of πconjugated systems. Therefore, they act as strong tools for the exploration of the structure property relationships of πconjugated systems, such as parameters of field-effect mobility (μ, the drift velocity of carriers under unit electric field), current on/off ratio (the ratio of the maximum on-state current to the minimum off-state current), and threshold voltage (the minimum gate voltage that is required to turn on the transistor). 17 Since the discovery of OFETs in the 1980s, they have attracted much attention. Research onOFETs includes the discovery, design, and synthesis of π-conjugated systems for OFETs, device optimization, development of applications in radio frequency identification (RFID) tags, flexible displays, electronic papers, sensors, and so forth. It is beyond the scope of this review to cover all aspects of π-conjugated systems; hence, our focus will be on the performance analysis of π-conjugated systems in OFETs. This should make it possible to extract information regarding the fundamental merit of semiconducting π-conjugated materials and capture what is needed for newmaterials and what is the synthesis orientation of newπ-conjugated systems. In fact, for a new science with many practical applications, the field of organic electronics is progressing extremely rapidly. For example, using “organic field effect transistor” or “organic field effect transistors” as the query keywords to search the Web of Science citation database, it is possible to show the distribution of papers over recent years as shown in Figure 1A. It is very clear

2,942 citations

Journal ArticleDOI
TL;DR: The qualitative failures of the commonly used hybrid density functionals in some "difficult problems," such as dissociation of symmetric radical cations and long-range charge-transfer excitations, are significantly reduced by the present LC hybriddensity functionals.
Abstract: A general scheme for systematically modeling long-range corrected (LC) hybrid density functionals is proposed. Our resulting two LC hybrid functionals are shown to be accurate in thermochemistry, kinetics, and noncovalent interactions, when compared with common hybrid density functionals. The qualitative failures of the commonly used hybrid density functionals in some “difficult problems,” such as dissociation of symmetric radical cations and long-range charge-transfer excitations, are significantly reduced by the present LC hybrid density functionals.

2,852 citations