Accepted Manuscript Understanding the effect of heteroatoms on structural and electronic properties of conjugated polymers Ram S. Bhatta , Mesfin Tsige PII:
S0032-3861(14)01087-8
DOI:
10.1016/j.polymer.2014.11.050
Reference:
JPOL 17446
To appear in:
Polymer
Received Date: 5 September 2014 Revised Date:
14 November 2014
Accepted Date: 15 November 2014
Please cite this article as: Bhatta RS, Tsige M, Understanding the effect of heteroatoms on structural and electronic properties of conjugated polymers, Polymer (2014), doi: 10.1016/j.polymer.2014.11.050. 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.
AC C
EP
TE D
M AN U
SC
RI PT
ACCEPTED MANUSCRIPT
ACCEPTED MANUSCRIPT
Understanding the effect of heteroatoms on structural and electronic properties of
Ram S. Bhatta* and Mesfin Tsige*
M AN U
SC
RI PT
conjugated polymers
Department of Polymer Science, The University of Akron, Ohio 44325, United States
EP
TE D
Corresponding authors:
[email protected];
[email protected]
AC C
*
1
ACCEPTED MANUSCRIPT
Abstract Heteroatom-containing conjugated polymers are promising candidates for designing efficient polymer solar cells. However, fundamental understanding of the role
RI PT
of heteroatoms on structure-property relationships of these polymers is not yet fully understood. This work, based on first-principles calculations at the molecular level, uncovers how fluorine and oxygen introduction on poly[2,6-(4,4-bis-(2-ethylhexyl)-4H-
SC
cyclopenta[2,1-b;3,4-b’]-dithiophene)-alt-4,7-(2,1,3-benzothiadiazole)]
(PCPDT-BT)
affect structural and electronic properties. Systematic computations of torsional defects,
M AN U
energy gaps, molecular electrostatic potential surfaces and dipole moments are carrier out for PCPDT-BT and its fluorine and oxygen derivatives. We found that oxygen derivative favors lowest-energy planar conformation, low energy gaps and high ground-to-excited state dipole differences. The present results further suggest that oxygenation might
TE D
increase charge dissociation and reduce charge recombination in the excited state,
AC C
EP
supporting the recent experimental findings.
Keywords: Energy gaps; Molecular electrostatic potential surface; Torsional potential
2
ACCEPTED MANUSCRIPT
1. Introduction Polymer solar cells (PSCs), bulk heterojunction (BHJ) devices containing conjugated polymers as electron donors and fullerene derivatives as electron acceptors,
RI PT
are potential candidates to meet the world’s growing demand for clean, renewable and sustainable energy [1-3]. PSCs are environmentally friendly and are well recognized for their flexibility, lightweight, low cost, and ease of processing [4-6]. Despite their
SC
promise, PSCs are still suffering from their lower performance and stability compared to their inorganic counterparts [7]. The current power conversion efficiency (PCE) of PSCs
M AN U
has reached ~10.6% [8], but this would need to be at least doubled [9] for practical realization of PSCs by average citizens. Performance of PSCs depends on various factors such as band gaps of polymers, chemical structures and the bulk heterojuction morphology [10-12]. Among them, chemical structure of the conjugated polymer plays
TE D
an important role because the chemical modification changes frontier molecular orbitals such as the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO) as well as intermolecular and intramolecular interactions
EP
[13,14]. Consequently, these interactions affect energy offset between the HOMOs of polymer and fullerene derivative changing open circuit voltage (Voc), and energy offset
AC C
between the LUMOs of polymer and fullerene derivative changing the charge transport, which in turn affect the overall performance of PSCs. In recent years, several experimental studies [15-27] have focused on structural
modifications of the conjugated polymers by adding electronegative fluorine atoms and their effect on the performance of PSCs. These experimental studies are in agreement that the performance of PSCs is enhanced upon the partial fluorination of each monomer unit.
3
ACCEPTED MANUSCRIPT
In fact, our recent first-principles studies [28-30] on fluorinated derivatives of polythienothiophene-co-benzodithiophenes, that agreed with the experimental findings, have shown that the fluorination of thienothiophene unit increases the effective
TE D
M AN U
SC
RI PT
conjugation, HOMO offset and dipole moment, and decreases exciton binding energies.
EP
Figure 1. Schematic representation of PCPDT-BT, PCPDT-DFBT and PDTP-DFBT. The interring torsional angle, α, is zero when S-C-C-C (connected to N) angle is in trans conformations shown. In
AC C
the present computations, the methyl group replaces R, R1 and R2.
Recently [8], oxygenated derivates of poly[2,6-(4,4-bis-(2-ethylhexyl)-4H-
cyclopenta[2,1-b;3,4-b’]-dithiophene)-alt-4,7-(2,1,3-benzothiadiazole)]
(PCPDT-BT)
have been synthesized and revealed that oxygenated derivative poly[2,7-(5,5-bis-(3,7dimethyl
octyl)-5H-dithieno[3,2-b:2’,3’-d]pyran)-alt-4,7-(5,6-difluoro-2,1,3-
benzothiadiazole)] (PDTP-DFBT) performs better than fluorinated derivative poly[2,6-
4
ACCEPTED MANUSCRIPT
(4,4-bis-(2-ethylhexyl)-4H-cyclopenta[2,1-b;3,4-b’]-dithiophene)-alt-4,7-(2,1,3difluorobenzothiadiazole) (PCPDT-DFBT) (Fig. 1). Although the synthesis and the performance of PCPDT-BT, PCPDT-DFBT and PDTP-DFBT are studied experimentally,
RI PT
many important aspects from the first-principles study remain unexplored. In particular, effect of oxygenation on conformation, frontier orbital energies and dipole moments have never been addressed so far.
SC
In this study, we perform systematic first-principles calculations on the structural and electronic properties of PCPDT-BT, PCPDT-DFBT and PDTP-DFBT to investigate
M AN U
the effect of fluorine and oxygen additions. We compute torsional potentials, frontier molecular orbital energies, band gaps, molecular electrostatic potentials and dipole moments at the molecular level. The understanding of these fundamental properties is crucial for optimizing the design of efficient conjugated polymers for high performance
TE D
PSCs. 2. Computational details
All calculations on PCPDT-BT, PCPDT-DFBT and PDTP-DFBT oligomers up to
EP
the hexamer were carried out using density functional theory (DFT) [31] and time dependant DFT (TDDFT) [32] combined with dispersion corrected [33] Becke’s three–
AC C
parameter Lee-Yang-Parr exchange-correlation functional (B3LYP) [34] and 6-31G(d) basis set. Our previous experience on the first-principles studies [28-30] of similar polymers has shown that the dispersion corrected B3LYP functional captures accurate nanostructural and electronic properties. This method has also been implemented to produce reliable structural and electronic properties of similar conjugated polymers in various studies [35-37]. In the context of the present work, some computations were also
5
ACCEPTED MANUSCRIPT
performed at the coulomb attenuated and long-rage corrected functionals, CAM-B3LYP [38] and LC-BLYP [39], respectively combined with the same basis set for the sake of comparison. The large-scale calculations were performed using Kraken and Blacklight
RI PT
computational resources that were provided by the extreme science and engineering discovery environment (XSEDE) [40]. NWChem 6.1 [41] and Gaussian 09 [42] ab initio packages were used to perform these computations.
SC
Two different types of geometry optimizations of PCPDT-BT, PCPDT-DFBT and PDTP-DFBT oligomers were performed using DFT methods. First, oligomers were fully
M AN U
optimized without any constraint to determine the minimum energy conformations. Second, nanostructures were partially optimized at the constrained inter-ring torsional angle (α) by rotating two planar halves of each polymer in the range 0˚ ≤ α ≤ 180˚ to investigate the effect of torsional disorder on structural and electronic properties. The
TE D
exited state calculations were performed using TDDFT methods starting from the ground state optimized geometries. 3. Results and discussion
EP
3.1. Nanostructures and torsional defects
All lowest energy conformations of PCPDT-BT, PCPDT-DFBT and PDTP-DFBT
AC C
oligomers up to the hexamer investigated in the present study were found to contain planar backbones (Fig. 1). Vibrational frequencies of selected oligomers were calculated to ensure that each of the fully optimized conformations represented a local minimum of energy. Some additional fully relaxed geometry optimizations of dimers were also performed starting from non-planar geometries (for example, α ≈ 25˚) as inputs to make sure that the optimized structure represented the lowest energy conformation. Irrespective
6
ACCEPTED MANUSCRIPT
of the starting geometry, the optimized geometry converged to the same conformation with the planar backbone. This shows that the solid-state packing structures of PCPDTBT, PCPDT-DFBT and PDTP-DFBT are expected to have a planar backbone in the
RI PT
homogeneous environment.
However, since the BHJ morphology of a PSC contains a blend of polymers and fullerene derivatives, the situation might be different because of the heterogeneous
SC
environment. For example, different semicrystalline and crystalline domains have been reported in the BHJ morphology of PTB7 and fullerene derivatives [43-45]. These
M AN U
domains might be expected to contain substantial conformational disorder, which are usually caused by the inter-ring torsional defects in the polymer chains. A usual approach to probe these conformational defects is to calculate the torsional potential as a function of inter-ring torsional angle as was done in our previous studies on polythiophene (PT)
TE D
and poly(3-alkylthiophenes) (P3ATs) [46-48]. These torsional profiles are very informative to investigate the propensity of conformational disorders in otherwise regular conformations.
EP
Beginning with the planar PCPDT-BT, PCPDT-DFBT and PDTP-DFBT oligomers, the backbone torsional potentials were computed by rotating two planar halves
AC C
in steps around the central inter-ring bond. Figure 2 shows the one-dimensional torsional poentials for these polymers up to the hexamer. The relative torsional energy increases with the increase in torsional angle, reaches to the maximum and decreases with further increase in the torsional angle. Each of these torsional potentials has two minima: one at
α ≈ 0˚ and the other at α ≈ 180˚. At α ≈ 90˚, there is a maximum that is the highest barrier between the two torsional minima.
7
AC C
EP
TE D
M AN U
SC
RI PT
ACCEPTED MANUSCRIPT
Figure 2. Torsional potentials for (a) PCPDT-BT, (b) PCPDT-DFBT and (c) PDTP-DFBT. Dotted lines are guide to the eyes.
8
M AN U
SC
RI PT
ACCEPTED MANUSCRIPT
TE D
Figure 3. Images of (a) HOMO (α = 0˚), (b) LUMO (α = 0˚), (c) HOMO (α = 90˚) and (d) LUMO (α = 90˚) for PCPDT-BT. Red and blue colors represent negative and positive phases of the orbitals,
EP
respectively.
The major factor responsible for the nature of torsional profile depicted in Figure
AC C
2 is the electronic conjugation along the conjugated backbone. At α ≈ 0˚ or 180˚, the planar geometry favors more extended electronic conjugation across the conjugated rings of monomer units (Figure 3). The electronic conjugation is decreased when the nonplanarity of the conjugated backbone increases and at α ≈ 90˚, the electronic conjugation is broken thereby reducing the conjugation length from n to n/2 (Figure 3). Consequently, frontier molecular orbirtals get more separated and the torsional energy of an oligomer is
9
ACCEPTED MANUSCRIPT
increased. Hence, the barrier at α ≈ 90˚ is a result of the breakage of the electronic conjugation. Other factors affecting the torsional potential are steric hindrance and hydrogen bonding. The minimum energy conformation is stabilized by less steric
RI PT
hindrance and stronger hydrogen bonding between hydrogen and heteroatoms.
Interestingly, PCPDT-BT, PCPDT-DFBT and PDTP-DFBT oligomers show different convergence behavior of torsional barrier compared to other conjugated
SC
polymers such as PT and P3AT [47,49]. Although barrier heights of PT and P3AT converge beyond the octamer [47,49], PCPDT-BT, PCPDT-DFBT and PDTP-DFBT do
M AN U
no show any noticeable change in barrier height with oligomer length, and resemble closely with PTB7. This behavior of the rapid convergence of torsional barrier with the oligomer length is associated with the enhanced conjugation length, additional details can be found in our previous study [28]. At the B3LYP level, the change in barrier heights
TE D
from dimer to tetramer for these polymers is ≤ 14 meV. The overall change in barrier height from dimer to hexamer is ≤ 17 meV, which is less than kT at room temperature. The fluorination of the BT unit increases the barrier height by ~15 meV and the
EP
introduction of the oxygen atom to the CPDT unit increases the barrier height by ~ 20 meV. Table 1 summarizes the barrier heights computed using different DFT methods in
AC C
which the relative variations of barrier heights are consistent across the different DFT methods. However, B3LYP performs better in terms of absolute values of barrier heights and resembles closely with sophisticated perturbation theory calculations [28].
Table 1. Torsional barrier heights (eV) for polymers computed using different DFT functionals Polymer B3LYP CAM-B3LYP LC-BLYP PCPDT-BT PCPDT-DFBT PDTP-DFBT
0.311 0.326 0.346
0.195 0.207 0.221
10
0.161 0.186 0.199
ACCEPTED MANUSCRIPT
3.2. Energy gaps and torsional defects We start with the computed energy gaps of the lowest energy conformations of PCPDT-BT, PCPDT-DFBT and PDTP-DFBT. The computed optical gap ( E gopt ) and
RI PT
HOMO-LUMO gap ( E ghl ) of these polymers are plotted in Figure 4. The computed values of E gopt represent the vertical excitation energies from the ground state to the first excited state and are directly comparable to the optical band gap observed from UV-vis
SC
absorption spectroscopy. The computed values of E ghl represent the valence to conduction
M AN U
band energy difference in the ground state and are directly comparable to the band gap measured from cyclic voltametry. The available experimental values of E gopt and E ghl are
AC C
EP
TE D
also included in Figure 4 for comparison.
Figure 4. Effect of fluorine and oxygen additions on energy gaps. Experimental values of energy gaps are from Ref. [8].
As shown in Figure 4, both computed and experimental values of E gopt and
E ghl increase with the fluorination of the BT unit and decrease with the introduction of an oxygen atom to the PCPDT unit. For PCPDT-BT, PCPDT-DFBT and PDTP-DFBT, the
11
ACCEPTED MANUSCRIPT
computed values of E gopt are 1.34 eV, 1.40 eV and 1.34 eV, respectively at the B3LYP level and the reported experimental values are 1.48 eV, 1.51 eV and 1.38 eV,
RI PT
respectively. Similarly, the computed values of E ghl are 1.58 eV, 1.64 eV and 1.58 eV, and the experimentally observed values of E ghl are 1.62 eV, 1.82 eV and 1.65 eV, respectively for these polymers. Underestimation of computed E gopt and E ghl compared to the corresponding experimental values can be attributed as the lack of intermolecular
SC
interactions and solvent effects in the present computation that are present in the
M AN U
experimental measurements. Importantly, the relative variations of these energy gaps agree fairly well between experimental and computed results. These results are consistent with the observed blue and red shift of spectra for PCPDT-DFBT and PDTP-DFBT, respectively relative to PCPDT-BT [8]. The increase in the band gap with the fluorination of PCPDT-BT is consistent with our previous findings [30] that the addition of fluorine similar
conjugated
polymer,
TE D
atoms on
polythienothiophene-cobenzodithiophene,
increases the band gap. Importantly, the addition of oxygen on PCPDT-DFBT decreases the band gap and hence PDTP-DFBT has the lower band gap compared to other
EP
conjugated polymers such as PT, P3HT and fluorinated polythienothiophene-
AC C
cobenzodithiophenes [30,47].
Energy gaps are very sensitive to torsional defects. The torsional defect hinders
the effective overlapping of p-orbitals of carbon atoms between the interacting conjugated rings and hence the extended π-conjugation is reduced. Consequently, energy gaps of conjugated polymers are increased. Figure 5 shows the effect of the torsional defect on E ghl for PCPDT-BT, PCPDT-DFBT and PDTP-DFBT. In Figure 5, E ghl represents the difference between HOMO and LUMO energies in the ground state when
12
ACCEPTED MANUSCRIPT
the two planar halves of each polymer are rotated about the central inter-ring torsional angle, α. At α = 0˚ and 180˚ (i.e. planar conformation) E ghl has minimum values for all
RI PT
polymers. At α > 0˚ and α < 180˚, E ghl increases and reaches a maximum at α = 90˚. All computed and reported values of E ghl are plotted relative to Eghl of planar PCPDT-BT for
TE D
M AN U
SC
the purpose of direct comparison.
Figure 5. Torsional dependence of HOMO-LUMO gaps. Energies are plotted relative to HOMO-LUMO gap of PCPDT-BT at α = 0˚. Experimental data (open squares) are from Ref. [8].
As α approaches 90˚, the two planar halves of each polymer are orthogonal to
EP
each other and the effect of torsional disorder on E ghl is at the maximum. At α =90˚,
AC C
values of E ghl for PCPDT-BT, PCPDT-DFBT and PDTP-DFBT are 0.47 eV, 0.55 eV and 0.43 eV, respectively, higher relative to E ghl (1.944 eV) of PCPDT-BT at α = 0˚. At the minimal torsional defect (i.e. α ≈ 0˚), the fluorination on the BT unit increases E ghl by ~0.04 eV whereas the oxygen addition to the CPDT unit decreases E ghl by ~0.03 eV relative to E ghl (1.944 eV) of PCPDT-BT. These values are consistent with the reported
E ghl for these polymers as depicted in Figure 5. Relative variation of E ghl can be explained
13
ACCEPTED MANUSCRIPT
in terms of electron withdrawing and electron donating effects of fluorine and oxygen atoms, respectively. Strong electron-withdrawing fluorine atoms in BT unit pull electrons from the conjugated ring and increase the band gap. On the other hand, the introduction
RI PT
of the oxygen atom into the CPDT unit to form the DTT unit decreases the band gap by increasing the conjugation. These effects are captured consistently by different DFT functionals (Table 2). However, coulomb attenuated and long-range corrected functionals
SC
overestimate the absolute values of E ghl . Absolute values computed at the B3LYP level are in good agreement with the reported experimental values.
1.944 1.984 1.910
3.985 4.018 3.955
AC C
EP
TE D
PCPDT-BT PCPDT-DFBT PDTP-DFBT
M AN U
Table 2. HOMO-LUMO gaps (eV) of polymers computed using different DFT functionals Polymer B3LYP CAM-B3LYP LC-BLYP Ref. [8]
14
5.973 5.998 5.948
1.918 1.962 1.910
TE D
M AN U
SC
RI PT
ACCEPTED MANUSCRIPT
Figure 6. Torsional dependence of (a) HOMO and (b) LUMO energies for polymers as shown. Energies are
EP
plotted relative to HOMO and LUMO energies of PCPDT-BT at α = 0˚.
The variation of the band gaps shown in Figure 5 can be better understood in
AC C
terms of HOMO and LUMO energies. Figure 6 shows the dependence of HOMO and LUMO energies of PCPDT-BT, PCPDT-DFBT and PDTP-DFBT on the torsional defect,
α. At α ≈ 0˚, fluorination of the BT unit decreases HOMO energy by ~0.17 eV relative to the HOMO energy (-5.36 eV) of PCPDT-BT. However, the decrease in the HOMO energy is only ~0.14 eV relative to the HOMO energy of PCPDT-BT when oxygen atom is added into the CPDT unit. LUMO energies of PCPDT-DFBT and PDTP-DFBT are decreased by ~0.13 eV and ~0.18 eV, respectively, relative to the LUMO energy (-2.74
15
ACCEPTED MANUSCRIPT
eV) of PCPDT-BT when fluorine and oxygen atoms are added into the BT and CPDT units. Importantly, relative variation of LUMO and HOMO energies does not follow the trend for PCPDT-DFBT and PDTP-DFBT. In other word, PDTP-DFBT has ~ 0.03 eV
RI PT
higher HOMO energy and ~ 0.05 eV lower LUMO energy compared to PCPDT-DFBT. These changes in the HOMO and LUMO energies clearly explain the nature of variation of E ghl among PCPDT-BT, PCPDT-DFBT and PDTP-DFBT shown in Figure 5. At the
SC
maximum torsional defect, LUMO energies of PCPDT-DFBT and PDTP-DFBT reach ~0.04 eV and ~0.02 eV relative to the LUMO energy of PCPDT-BT at α = 0˚.
M AN U
Figure 7 shows the variation of E gopt for PCPDT-BT, PCPDT-DFBT and PDTPDFBT with the torsional defect ranging from α = 0˚ to 180˚. Experimentally observed
E gopt are also included in Fig.7 in terms of relative scale. Figures 5 and 7 show qualitatively similar trend. However, they differ quantitatively because E gopt involves the
TE D
excitation of electrons from the ground state to the excited state. Absolute values of E gopt are always less than E ghl because of the coulomb interaction between a hole in the HOMO
EP
level and an electron in the LUMO level. This holds true for all torsional angles shown in figures 5 and 7. For example, E gopt of PCPDT-BT increases up to ~0.26 eV at α = 90˚
AC C
relative to E gopt of PCPDT-BT at α = 0˚. This variation is ~0.21 eV lower compared to
E ghl of PCPDT-BT. At α ≈ 0˚, PCPDT-DFBT has ~35 meV higher, but PDTP-DFBT has ~31 meV lower E gopt relative to PCPDT-BT. Relative increase in E gopt when fluorine atoms are added to the BT unit is in very good agreement with the reported data. However the decrease in E gopt when an oxygen atom is added into the CPDT unit is slightly overestimated at the B3LYP level. Importantly, the present results are supported
16
ACCEPTED MANUSCRIPT
by the experimental observations that fluorination of the BT unit increases E gopt whereas oxygenation of CPDT unit decreases E gopt . The torsional defect increases E gopt and reaches
RI PT
maximum at α = 90˚. At α = 90˚, values of E gopt are ~0.33 eV and ~0.21 eV for PCPDT-
TE D
M AN U
SC
DFBT and PDTP-DFBT, respectively relative to E gopt (1.72 eV) of PCPDT-BT.
Figure 7. Torsional dependence of Optical gaps as shown. Energies are plotted relative to optical gap of PCPDT-BT at α = 0˚. Experimental values of optical gaps are from Ref. [8].
EP
3.3. Molecular electrostatic potential surfaces The addition of an oxygen atom to the CPDT unit increases the electron density in
AC C
PDTP-DFBT. In PCPDT-DFBT, fluorine atoms pull electron density towards them by exhibiting inductive effect when bonded to carbon atoms of the BT unit. As a result, electron densities of oxygenated and fluorinated polymers are changed compared to polymers without O and F atoms. The changes in the electron densities can be visualized by constructing molecular electrostatic potential (MEP) surfaces. These surfaces allow three-dimensional visualization of the different charged regions of oligomers.
17
TE D
M AN U
SC
RI PT
ACCEPTED MANUSCRIPT
Figure 8. MEP surfaces of (a) PCPDT-BT, (b) PCPDT-DFBT and (c) PDTP-DFBT.
EP
Figure 8 shows the MEP surfaces of PCPDT-BT, PCPDT-DFBT and PDTP-
AC C
DFBT dimers. An area of blue color in the MEP surface corresponds to a lower electron density and has a positive charge. On the other hand, red color on the MEP surfaces corresponds to a high electron density and has a negative charge. PCPDT-DFBT involves fluorinations of benzothiadiazole unit, whereas PDTP-DFBT involves fluorination and oxygenation of benzothiadiazole and cyclopentadithiophene units, respectively. Due to the inductive effect, the MEP surface of PCPDT-BT (Figure 8(a)) is distinct with less extended red color compared to the MEP surface of PCPDT-DFBT (Figure 8(b)).
18
ACCEPTED MANUSCRIPT
Similarly, the MEP surface of PDTP-DFBT (Figure 8(c)) represents the extension of negative
charge
on
both
benzothiadiazole
and
cyclopentadithiophene
units.
Consequently, the extension of red color (negative charge) increases in the order PCPDT-
RI PT
BT < PCPDT-DFBT < PDTP-DFBT.
3.4. Dipole moment
SC
The variation of electron densities in the MEP surfaces (Figure 8) implies the fluctuation of dipole moments across the polymers. The lowest energy conformations of
M AN U
PCPDT-BT, PCPDT-DFBT and PDTP-DFBT computed at the B3LYP level have dipole moments (µg) of 2.83 D, 2.56 D and 2.58 D, respectively in the ground state. Interestingly, PCPDT-BT has slightly higher µg compared to PCPDT-DFBT and PDTPDFBT. Stuart et al. [50] have reported similar variation of µg for similar polymers in
TE D
which fluorinated polymers have lower µg than the unfluorinated polymer. Although PCPDT-DFBT and PDTP-DFBT have slightly smaller µg than PCPDTBT in the ground state, addition of heteroatom increases the dipole moment significantly
EP
in an excited state (Table 3). Excited state dipole moments (µe) for planar PCPDT-BT,
AC C
PCPDT-DFBT and PDTP-DFBT are 4.25 D, 6.21 D and 8.76 D, respectively. This shows that the dipole moment increases substantially with the introduction of fluorine and oxygen atoms. The change in the ground to excited state dipole moment [51] ( ∆µ = [(µ gx − µ ex ) 2 + (µ gy − µ ey ) 2 + (µ gz − µ ez ) 2 ] ) for PCPDT-DFBT and PDTP-DFBT are 1/ 2
2.35 D, 3.85 D and 6.21 D, respectively. The larger value of ∆µ for PDTP-DFBT compared to other polymers suggests that PDTP-DFBT promotes increased charge dissociation in the excited state thereby reducing the charge recombination.
19
ACCEPTED MANUSCRIPT
Table 3. Computed ground and excited state dipole moments (Debye) and their differences for polymers at α = 0˚. Polymer µg µe ∆µ 2.83 2.56 2.58
4. Conclusions
4.25 6.21 8.76
2.35 3.85 6.21
RI PT
PCPDT-BT PCPDT-DFBT PDTP-DFBT
SC
The effect of heteroatoms on structural and electronic properties of PCPDT-BT derivatives was investigated employing first-principles calculations. The lowest energy
M AN U
conformations of these polymers computed using ground state DFT methods were found to be planar. The backbone torsional barrier heights for each of these polymers were found to be almost independent of the chain length. The change in the barrier height going from the dimer to the hexamer is less than kT at room temperature, suggesting that
TE D
the torsional potential of the dimer can be applied for the molecular modeling of longer oligomers. Among these polymers, PCPDT-BT dimer has the smallest torsional barrier height (~ 0.31 eV). PCPDT-DFBT and PDTP-DFBT have higher torsional barrier heights
EP
by ~15 meV and ~35 meV, respectively, compared to the barrier height of PCPDT-BT. PCPDT-DFBT was found to have higher Eghl and Egopt whereas PDTP-BDBT was
AC C
found to have lower Eghl and Egopt compared to PCPDT-BT based on DFT and TDDFT computations. These fluctuations in the energy gaps are caused by the alteration in the HOMO and LUMO energies. In other words, the introduction of an oxygen atom onto the PCPDT unit of PCPDT-DFBT decreases LUMO energy but increases HOMO energy. The torsional defect present in the dimers of these polymers rises Eghl and Egopt up to ~0.5 eV and 0.3 eV, respectively compared to the ideal planar conformations. Consequently,
20
ACCEPTED MANUSCRIPT
the ground to excited state dipole difference was found to be significantly increased when oxygen is added onto the PCPDT unit of PCPDT-DFBT. The relatively smaller energy gaps and larger ground to excited state dipole difference of PDTP-DFBT compared to
RI PT
PCPDT-BT and PCPDT-DFBT indicate that PDTP-DFBT favors efficient charge separation in the excited state. Based on the present results, PDTP-DFBT has more potential to be an efficient electron donor for PSC devices, in agreement with the recent
AC C
EP
TE D
M AN U
SC
experimental findings.
21
ACCEPTED MANUSCRIPT
Acknowledgements We are grateful to the National Science Foundation (Grant No. DMR0847580) for financial support. This work used Kraken and Blacklight computational resources that are
RI PT
provided by the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by the National Science Foundation Grant No. ACI-1053575. The
AC C
EP
TE D
M AN U
SC
authors thank additional support from the University of Akron.
22
ACCEPTED MANUSCRIPT
References: [1] Brabec, C. J.; Sariciftci, N. S.; Hummelen, J. C., Plastic Solar Cells. Adv. Funct. Mater. 2001, 11, 15-26.
RI PT
[2] Hoppe, H.; Sariciftci, N. S., Organic Solar Cells: An Overview. J. Mater. Res. 2004, 19, 1924-1945.
[3] Sariciftci, N. S., Plastic Photovoltaic Devices. Mater. Today 2004, 7, 36-40.
SC
[4] Bao, Z.; Dodabalapur, A.; Lovinger, A. J., Soluble and Processable Regioregular Poly(3-Hexylthiophene) for Thin Film Field-Effect Transistor Applications with
M AN U
High Mobility. Appl. Phys. Lett. 1996, 69, 4108-4110.
[5] Krebs, F. C., Fabrication and Processing of Polymer Solar Cells: A Review of Printing and Coating Techniques. Sol. Energy Mater. Sol. Cells 2009, 93, 394-412. [6] Yue, D.; Khatav, P.; You, F.; Darling, S. B., Deciphering the Uncertainties in Life Energy
TE D
Cycle Energy and Environmental Analysis of Organic Photovoltaics. Environ. Sci. 2012, 5, 9163-9172.
[7] Green, M. A.; Emery, K.; Hishikawa, Y.; Warta, W.; Dunlop, E. D., Solar Cell
EP
Efficiency Tables. Prog. Photovolt: Res. Appl. 2012, 20, 12-20. [8] You, J.; Dou,L.; Yoshimura, K.; Kato, T.; Ohya, K.; Moriarty, T.; Emery, K.; Chen,
AC C
C.; Gao, J.; Li, G.; Yang, Y. A Polymer Tandem Solar Cell with 10.6% Power
Conversion Efficiency. Nat. Commun. 2013, 4, 1-10.
[9] Darling, S. B.; You, F., The Case for Organic Photovoltaics. RSC Adv. 2013, 3, 17633-17648.
[10] Peumans, P.; Yakimov, A.; Forrest, S. R. Small Molecular Weight Organic Thinfilm Photodetectors and Solar cells. J. Appl. Phys. 2003, 93, 3693–3723.
23
ACCEPTED MANUSCRIPT
[11] Li, G.; Zhu, R.; Yang, Y. Polymer Solar Cells. Nat. Photonics 2012, 6, 153-161. [12] Chen, W.; Nikiforov, M. P.; Darling, S. B. Morphology Characterization in Organic and Hybrid Solar Cells. Energy Environ. Sci., 2012, 5, 8045–8074.
RI PT
[13] Liang, Y.; Xu, Z.; Xia, J.; Tsai, S.; Wu, Y.; Li, G.; Ray, C.; Yu, L. For the Bright Future—Bulk Heterojunction Polymer Solar Cells with Power Conversion Efficiency of 7.4%. Adv. Mater. 2010, 22, E135–E138.
SC
[14] Liang, Y.; Feng, D.; Wu, Y.; Tsai, S.; Li, G.; Ray, C.; Yu, L. Highly Efficient Solar Cell Polymers Developed via Fine-Tuning of Structural and Electronic Properties. J.
M AN U
Am. Chem. Soc. 2009, 131, 7792–7799.
[15] Kim, J.; Yun, M. H.; Kim, G.; Lee, J.; Lee, S. M.; Ko, S.; Kim, Y.; Dutta, G. K.; Moon, M.; Park, S. Y.; Kim, D. S.; Kim, J. Y.; Yang, C. Synthesis of PCDTBTBased Fluorinated Polymers for High Open-Circuit Voltage in Organic
TE D
Photovoltaics: Towards an Understanding of Relationships between Polymer Energy Levels Engineering and Ideal Morphology Control. ACS Appl. Mater. Interfaces, 2014, 6, 7523-7534.
EP
[16] Kim, B.; Jeong, E. J.; Park, H. J.; Bilby, D.; Guo, L. J.; Kim, J. Effect of Polymer Aggregation on the Open Circuit Voltage in Organic Photovoltaic Cells:
AC C
Aggregation-Induced Conjugated Polymer Gel and its Application for Preventing Open Circuit Voltage Drop. ACS Appl. Mater. Interfaces. 2011, 3, 674–680.
[17] Alem, S.; Wakim, S.; Lu, J.; Robertson, G.; Ding, J.; Tao, Y. Degradation Mechanism of Benzodithiophene-Based Conjugated Polymers When Exposed to
Light in Air. ACS Appl. Mater. Interfaces. 2012, 4, 2993−2998.
24
ACCEPTED MANUSCRIPT
[18] Liu, P.; Zhang, K.; Liu, F.; Jin, Y.; Liu, S.; Russell, T. P.; Yip, H.; Huang, F.; Cao, Y. Effect of Fluorine Content in Thienothiophene-Benzodithiophene Copolymers on the Morphology and Performance of Polymer Solar Cells. Chem. Mater. 2014, 26,
RI PT
3009-3017.
[19] Iyer, A.; Bjorgaard, J.; Anderson, T.; Kose, M. E. Quinoxaline-Based Semiconducting Polymers: Effect of Fluorination on the Photophysical, Thermal,
SC
and Charge Transport Properties. Macromolecules 2012, 45, 6380−6389.
[20] Wang, N.; Chen, Z.; Wei, W.; Jiang, Z. Fluorinated Benzothiadiazole-Based
M AN U
Conjugated Polymers for High-Performance Polymer Solar Cells without any Processing Additives or Post-treatments. J. Am. Chem. Soc. 2013, 135, 17060−17068.
[21] Park, J. H.; Jung, E. H.; Jung, J. W.; Jo, W. H. A Fluorinated Phenylene Unit as a
TE D
Building Block for High-Performance n-Type Semiconducting Polymer. Adv. Mater. 2013, 25, 2583–2588.
[22] Tumbleston, J. R.; Stuart, A. C.; Gann, E.; You, W.; Ade, H. Fluorinated Polymer
EP
Yields High Organic Solar Cell Performance for a Wide Range of Morphologies. Adv. Funct. Mater. 2013, 23, 3463–3470.
AC C
[23] Zhang, Y.; Zou, J.; Cheuh, C.; Yip, H.; Jen, A. K. Significant Improved Performance of
Photovoltaic
Cells
Made
from
a
Partially
Fluorinated
Cyclopentadithiophene/Benzothiadiazole Conjugated Polymer. Macromolecules 2012, 45, 5427−5435.
25
ACCEPTED MANUSCRIPT
[24] Son, H. J.; Carsten, B.; Jung, I. H.; Yu, L., Overcoming Efficiency Challenges in Organic Solar Cells: Rational Development of Conjugated Polymers.
Energy
Environ. Sci. 2012, 5, 8158-8170.
RI PT
[25] Lee, K. C.; Park, W.; Noh, Y.; Yang, C. Benzodipyrrolidone (BDP)-Based Polymer Semiconductors Containing a Series of Chalcogen Atoms: Comprehensive Investigation of the Effect of Heteroaromatic Blocks on Intrinsic Semiconducting
SC
Properties. ACS Appl. Mater. Interfaces. 2014, 6, 4872−4882.
[26] Son, H. J.; Wang, W.; Xu, T.; Liang, Y.; Wu, Y.; Li G.; Yu, L. Synthesis of
M AN U
Fluorinated Polythienothiophene-co-benzodithiophenes and Effect of Fluorination on the Photovoltaic Properties. J. Am. Chem. Soc. 2011, 133, 1885–1894. [27] Yoon, S. M.; Lou, S. J.; Loser, S.; Smith, J.; Chen, L. X.; Facchetti, A.; Marks, T. J., Fluorinated Copper Phthalocyanine Nanowires for Enhancing Interfacial Electron
TE D
Transport in Organic Solar Cells. Nano Lett. 2012, 12, 6315-6321. [28] Bhatta, R. S.; Perry, D. S.; Tsige, M. Nanostructures and Electronic Properties of a High-Efficiency Electron-Donating Polymer. J. Phys. Chem. A 2013, 117, 12628-
EP
12634.
[29] Bhatta, R. S.; Tsige, M. Chain Length and Torsional Dependence of Exciton Binding
AC C
Energies in P3HT and PTB7 Conjugated Polymers: A First Principles Study. Polymer 2014, 55, 2667-2672.
[30] Bhatta, R. S.; Tsige, M., Effect of Fluorination on Electronic Properties of Polythienothiophene-co-benzodithiophenes and Their Fullerene Complexes. ACS Appl. Mater. Interfaces. 2014, 6, 15889-15896.
26
ACCEPTED MANUSCRIPT
[31] Hohenberg, P.; Kohn, W., Inhomogeneous Electron Gas. Phys, Rev. 1964, 136, B864-B871. [32] Runge, E.; Gross, E. K. U., Density-Functional Theory for Time-Dependent
RI PT
Systems. Phys. Rev. Lett. 1984, 52, 997-1000.
[33] Grimme, S., Semiempirical GGA-Type Density Functional Constructed with a Long-Range Dispersion Correction. J. Comput. Chem. 2006, 27, 1787-1799.
Exchange. J. Chem. Phys. 1993, 98, 5648-5652.
SC
[34] Becke, A. D., Density-Functional Thermochemistry. III. The Role of Exact
M AN U
[35] Ling, L.; Lagowski, J. B., DFT Study of Electronic Band Structure of Alternating Triphenylamine-fluorene Copolymers. Polymer 2013, 54, 2535-2543. [36] Hinkens, D. M.; Chen, Q.; Siddiki, M. K.; Gosztola, D.; Tapsak, M. A.; Qiao, Q.; Jeffries-EL, M.; Darling, S. B., Model Compounds Based on Poly(p-
TE D
phenylenevinyleneborane) and Terthiophene: Investigating the Pen Junction in Diblock Copolymers. Polymer 2013, 54, 3510-3520. [37] Li, Y.; Lagowski, J. B., Charge Carrier Mobility in Conjugated Organic Polymers
4850.
EP
Case Studies Using Multi-step Computational Approach. Polymer 2011, 52, 4841-
AC C
[38] Yanai, T.; Tew, D.; Handy, N., A New Hybrid Exchange-correlation Functional Using the Coulomb-attenuating Method (CAM-B3LYP). Chem. Phys. Lett. 2004,
393, 51-57.
[39] Iikura, H.; Tsuneda, T.; Yanai, T.; Hirao, K. Long-range Correction Scheme for Generalized-gradient-approximation Exchange Functionals. J. Chem. Phys., 2001, 115, 3540-3544.
27
ACCEPTED MANUSCRIPT
[40] See 'https://www.xsede.org' for information abut XSEDE. [41] Valiev, M.; Bylaska, E. J.; Govind, N.; Kowalski, K.; Straatsma, T. P.; van Dam, H. J. J.; Wang, D.; Nieplocha, J.; Apra, E.; Windus, T. L.; de Jong, W. A., Nwchem: A
RI PT
Comprehensive and Scalable Open-Source Solution for Large Scale Molecular Simulations. Comput. Phys. Commun. 2010, 181, 1477-1489.
[42] Frisch, M. J. et al. Gaussian, Inc., Revision D.01, Wallingford, CT., USA, 2009.
SC
[43] Chen, W.; Xu, T.; He, F.; Wang, W.; Wang, C.; Strzalka, J.; Liu, Y.; Wen, J.; Miller, D. J.; Chen, J.; Hong, K.; Yu, L.; Darling, S. B., Hierarchical Nanomorphologies
Nano Lett. 2011, 11, 3707-3713.
M AN U
Promote Exciton Dissociation in Polymer/Fullerene Bulk Heterojunction Solar Cells.
[44] Collins, B. A.; Li, Z.; Tumbleston, J. R.; Gann, E.; McNeill, C. R.; Ade, H., Absolute Measurement of Domain Composition and Nanoscale Size Distribution
65-74.
TE D
Explains Performance in PTB7:PC71BM Solar Cells. Adv. Energy Mater. 2013, 3,
[45] Hammond, M. R.; Kline, R. J.; Herzing, A. A.; Richter, L. J.; Germack, D. S.; Ro,
EP
H.-W.; Soles, C. L.; Fischer, D. A.; Xu, T.; Yu, L.; Toney, M. F.; DeLongchamp, D. M., Molecular Order in High-Efficiency Polymer/Fullerene Bulk Heterojunction
AC C
Solar Cells. ACS Nano 2011, 5, 8248-8257.
[46] Bhatta, R. S.; Perry, D. S., Correlated backbone torsional potentials in poly(3methylthiophene). Comput. Theor. Chem. 2013, 1008, 90-95.
[47] Bhatta, R. S.; Yimer, Y. Y.; Tsige, M.; Perry, D. S., Conformations and Torsional Potentials of Poly(3-hexylthiophene) Oligomers: Density Functional Calculations up to the Dodecamer. Comput. Theor. Chem. 2012, 995, 36-42.
28
ACCEPTED MANUSCRIPT
[48] Bhatta, R. S.; Yimer, Y. Y.; Perry, D. S.; Tsige, M. Improved Force Field for Molecular Modeling of Poly(3-Hexylthiophene).
J. Phys. Chem. B 2013, 117,
10035-10045.
RI PT
[49] Darling, S. B.; Sternberg, M., Importance of Side Chains and Backbone Length in Defect Modeling of Poly(3-alkylthiophenes). J. Phys. Chem. B 2009, 113, 62156218.
SC
[50] Stuart, A. C.; Tumbleston, J. R.; Zhou, H.; Li, W.; Liu, S.; Ade, H.; You, W. Fluorine Substituents Reduce Charge Recombination and Drive Structure and
M AN U
Morphology Development in Polymer Solar Cells. J. Am. Chem. Soc. 2013, 135, 1806 -1815.
[51] Carsten, B.; Szarko, J. M.; Son, H. J.; Wang, W.; Lu, L.; He, F.; Rolczynski, B. S.; Lou, S. J.; Chen, L. X.; Yu, L., Examining the Effect of the Dipole Moment on
TE D
Charge Separation in Donor-Acceptor Polymers for Organic Photovoltaic
AC C
EP
Applications. J. Am. Chem. Soc. 2011, 133, 20468–20475.
29
ACCEPTED MANUSCRIPT
Highlights Structural and electronic properties of PCPDT-BT derivatives are investigated. PDTP-DFBT has lower energy gaps compared to PCPDT-BT and PCPDT-DFBT. PDTP-DFBT has the highest change in the ground to excited state dipole moment. PDTP-DFBT has the highest torsional barrier.
AC C
EP
TE D
M AN U
SC
RI PT
• • • •