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The C70 Fullerene Adducts with Low Anisotropy of Polarizability are More Efficient Electron Acceptors for Organic Solar Cells. The Minimum Anisotropy Hypothesis for Efficient Isomer-Free Fullerene-Adduct Photovoltaics Denis Sh. Sabirov J. Phys. Chem. C, Just Accepted Manuscript • DOI: 10.1021/acs.jpcc.6b09341 • Publication Date (Web): 10 Oct 2016 Downloaded from http://pubs.acs.org on October 12, 2016
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The Journal of Physical Chemistry
The C70 Fullerene Adducts with Low Anisotropy of Polarizability are More Efficient Electron Acceptors for Organic Solar Cells. The Minimum Anisotropy Hypothesis for Efficient Isomer-Free FullereneAdduct Photovoltaics Denis Sh. Sabirov* Institute of Petrochemistry and Catalysis, Russian Academy of Sciences, 450075 Ufa, Russia
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Abstract Currently, higher fullerene adducts (bis-, tris-, and multiadducts) come into use as electron acceptor components for organic solar cells (OSCs) with enhanced output parameters. These compounds have numerous positional isomers and isomerism crucially influences on the performances of photovoltaic devices. Indeed, application of the isolated and purified fullerene adducts (isomer-free fullerene-adduct OSCs) allows increasing power conversion efficiency (PCE) compared to the use of the isomeric mixtures. Previously, we have found that OSCs reveal higher PCE if they utilize the C60 bisadducts with lowest anisotropy of polarizability. To demonstrate a general nature of the found correlation in the present work, we have theoretically studied anisotropy of polarizability of the selected isomeric C70 mono-, bis-, and higher adducts synthesized and separately tested as OSC electron acceptors in recent experimental works. We have found that, as in the case of C60, less anisotropic C70 derivatives reveal higher PCE of the corresponding photovoltaic devices. Thus, the correlation between anisotropy of polarizability of fullerene acceptors and power conversion efficiency of OSC based on them has general nature (regardless of the fullerene type and nature of addends) and we can formulate the minimum anisotropy hypothesis: fullerene adducts with low anisotropy of polarizability are more efficient as electron acceptor materials for organic solar cells than their highly anisotropic regioisomers. This conjecture is supported with congruence of relevant experimental and computational data with scarce exceptions and may be recommended as an auxiliary tool for the molecular design and screening of novel fullerene derivatives promising for organic solar cells. The reasons of the importance of polarizability (and its anisotropy) underlying the principle are discussed.
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1. Introduction Fullerene adducts (mainly the derivatives of the most available C60 fullerene) have 1–8
become one of the widespread electron acceptor compounds for bulk heterojunction OSCs. 9
These compounds allow achieving power conversion efficiency up to ~8 % and the challenge of enhancing PCE retains a substantial handicap between the fundamental studies and industrial applications of OSCs based on fullerene adducts. Recently, the research interests in this field are gradually shifted to the replacement of the commonly used fullerene mono-derivatives by higher fullerene adducts, in which fullerene cores bear two, three, or more addends (bis-, tris-, or multiadducts, respectively).10–12 This is partially caused by the successful development of synthetic methodologies and chromatographic purification techniques required for producing chemically pure samples of fullerene derivatives with the desired type, number, and location of functionalizing chemical groups (see very recent reviews12–14). Fullerene moieties in the highly functionalized derivatives have a reduced number of readily polarizable π-electrons due to the attachment of extra addends, which, however, usually enhance the miscibility of fullerene derivatives with donor polymers, tune donor– acceptor molecular orbitals interactions, and, hence, influence on the charge photogeneration dynamics.11,12 Fullerene multiadducts have numerous positional isomers (regioisomers) differing in the relative positions of addends (the isomeric diversity was previously analyzed in reviews14–16 and original works17–25). Identification, chromatographic separation, and purification of such isomers are very hard, nontrivial, and expensive tasks. Therefore, in the first works, fullerene bis- and trisadducts were introduced into photovoltaic devices as mixtures of regioisomers.10,26–28 Later, it has been recognized that using the purified regioisomers substantially enhances key output
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parameters of OSCs. This has been first demonstrated with the solar cells based on the 29
substituted bis(dihyrdonaphtyl)C60 adducts in the foremost work.
After that advance, the
number of studies on such “isomer-free” fullerene-bisadduct organic solar cells started 9,12,30–36
increasing.
The cited works deal with derivatives of both C60 and C70 fullerenes.
As known, positional isomers of fullerene derivatives are characterized by almost equal mean polarizabilities and different anisotropies of polarizability (see review,37 experimental,38 and theoretical studies
23,24,39–43
). Hence, anisotropy may be invoked as an index discriminating
the positional isomers. Furthermore, we have found23 that the calculated anisotropies of dihydronaphthyl-C60 bisadducts are correlated with the key output parameters of the corresponding OSCs studied by Kitaura et al.:29 more isotropic positional isomers reveal higher PCE and open-circuit voltages (VOC). This has encouraged us to estimate anisotropy of polarizability of the widespread types of fullerene bisadducts to find out the least anisotropic compounds that could be more effective in the photovoltaic applications.23–25 Unfortunately, we have also found that the correlation has the limited use and applicable only to the sets of isomeric compounds, i.e. it does not allow a comparison between fullerene derivatives with different addends and/or fullerene cores.44 In general, the C60 bisadducts were deeper studied. Comparative studies on OSCs utilizing the purified C70 bisadducts have appeared very recently.34–36 To study a relation between anisotropy and OSC efficacies in the present work, we have calculated anisotropies of polarizability of the C70 derivatives tested in the above-cited works and collated the computational results with the corresponding PCE measurements. 2. Calculation details
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The PBE/3ζ density functional theory method (Priroda program45,46) were used for calculations. As we have previously shown on a large set of examples, this quantum chemical method accurately describes/predicts mean polarizabilities and anisotropies of fullerenes and 37
their derivatives (see our review and key original works
18,23,39,40,42,47,48
).
After standard DFT-optimizations and vibration modes solving (to prove that the stationary points, respective to the molecules under study, are minima of the potential energy surfaces), the components of polarizability tensors α were calculated in terms of the finite field approach as the second order derivatives of the total energy E with respect to the homogeneous external electric field F: α ij = −
∂2E ∂Fi ∂F j
(1)
Tensors α were diagonalized and their eigenvalues αii (i = x, y, and z) were used for calculating mean polarizability α and its anisotropy a2:
α= a2 =
1 (α xx + α yy + α zz ) 3
(
1 (α yy − α xx )2 + (α zz − α yy )2 + (α zz − α xx )2 2
(2)
)
(3)
The optimized structures of the studied compounds are available as Supporting Information. 3. Results and discussion 3.1. OSCs Based on the C70–Indene Bisadducts The C70–indene bisadducts C70(C9H8)2 (C70ind2; and often-abbreviated IC70BA) make up one of the presentable seriesf of the regioisomeric C70 derivatives. It should be noted that C70ind2 yet had been used in photovoltaics as a mixture34,49,50 but their synthesis, separation, and separate
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testing in OSCs have been performed in the current year work.34 Though this is an undoubted breakthrough in the field, the C70ind2 regioisomers have been isolated as fractions containing one major isomer with admixtures of the minor ones. Only six C70ind2 fractions have been tested as acceptor components of OSCs. In their major isomers, only ab bonds located on the opposite poles of the C70 spheroid are functionalized (Figure 1). Their calculated values against the measured PCE and VOC of the corresponding solar cells are collated in Table 1. Their mean polarizabilities vary in the narrow range 137.7…138.3 Å3. The difference in anisotropies a2 is more pronounced. The 2 o’clock-C isomer with the highest calculated a2 value reveals the lowest PCE when used in OSC. In contrast, the low-anisotropic 2 o’clock-B C70ind2 demonstrates maximal efficiency (Table 1). Furthermore, we have tried to find a correlation between a2, PCE, and VOC values. The correlations found are inverse (Figure 2). Unfortunately, two isomers (12 o’clock-A and 5 o’clock-C) are out of the correlation. This falling out may be explained by the influence of impurities when C70ind2 were tested. Anyway, this correlation covers 4 isomers. Notably, the similar relation, when the low-a2 regioisomers occurred the most efficient in OSCs, was previously observed for the C60-dihydronaphthyl bisadducts.23
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Figure 1 Structures of regioisomeric C70–indene bisadducts C70ind2. Their designations within “clock numeration” taken from Ref. 34 are kept in the present work. Carbon atoms of polar pentagons of C70 are colored in red. Schematics of mutual arrangement of the indene addends relative to polar pentagons of the C70 cage accompany each structure for clarity.
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Table 1 Calculated Eigenvalues of Polarizability Tensors (αxx, αyy, αzz), Mean Polarizabilities (α), Anisotropies of Polarizability (a2) of the C70–Indene Bisadducts and Previously Measured Key Output Parameters of Organic Solar Cells Based on These Compounds
isomer of C70ind2 12 o’clock-A 2 o’clock-A 2 o’clock-B 2 o’clock-C 5 o’clock-B 5 o’clock-C сс1.1сс2.1
measured parameters of the fullerene-based OSCs (taken from Ref. 34) PCE (%) VOC (V) 1.8 0.72 3.6 0.78 5.2 0.82 0.9 0.74 3.1 0.76 4.4 0.80 – –
calculated parameters (this work) αxx (Å3) 115.74 117.40 115.90 117.24 118.06 117.07 122.50
αyy (Å3) 132.48 126.80 132.51 119.51 126.63 120.05 138.00
αzz (Å3) 164.94 169.73 164.80 178.09 169.22 177.85 142.39
α (Å3) 137.72 137.97 137.74 138.28 137.97 138.32 134.30
a2 (Å6) 1877.37 2335.13 1854.64 3569.68 2252.32 3521.43 327.42
Figure 2 Correlation between the output parameters of organic solar cells (PCE and VOC) based on C70–indene bisadducts and their anisotropies of polarizabilities. The PCE and VOC values are taken from previous experimental work.34 The points corresponding to the isomers, which do not fit the correlation, are circumscribed.
Using the regioisomers as isotropic as possible is the recommendation point within the anisotropic approach to obtain higher PCE/VOC values of the C70ind2 OSCs. The number of possible positional isomers of C70ind2 equals 31 (taking into account numbers of reactive ab and
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cc bonds and steric effects to locate large indene addends on the C70 skeleton).24,25 The isomers with the reduced anisotropy of polarizability can be uncovered without necessity to calculate all of them. Previously,24 we have shown that the addition of both addends to the cc bonds located in different hemispheres of C70 substantially reduces anisotropy of polarizability of oquinodimethane-methano[70]fullerenes C70(CH2)C8H8. The least anisotropic C70(CH2)C8H8 has the addition code cc1cc2'.1.
24
It is noteworthy that molecular size of the o-quinodimetane moiety
(C8H8) is close to that one of the indene addend (C9H8). Therefore, we have calculated the isomer of C70ind2 with the same location of the addends (Table 1, the latest row). Note that the nonplanar indene moieties are arranged “face-to-face” in this compound (Figure 3). Our assumption is right and for the isomer we obtain the anisotropy of polarizability reduced to 327.42 Å6 (the abovementioned C70ind2 regioisomers with ab-functionalization have the a2 values greater than 1800 Å6). Thus, based on the anisotropy approach, we recommend this isomer of C70ind2 for targeted synthesis and further use in solar elements to enhance their PCE and VOC parameters. We should unfortunately note that cc-adducts were not detected in the reactions yielding the indene derivatives of C70 in Ref. 34. Nevertheless, the cc bonds are known as the reactive sites of addition to the C70 molecule,15,51 and we hope that obtaining the cc-adducts of this type is a solvable question for synthetic methodology and/or isolation techniques.
Figure 3 Structure and schematic of addition of the proposed low-anisotropy positional isomer cc1.1cc2.1-C70ind2. The functionalized cc bonds are shown in red.
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3.2. OSCs Based on the Other C70 Higher Adducts In the second part of the study, we pay attention to other types of the C70 derivatives. 35
These are positional isomers of bisPC71BM (C94H28O4) with additional functionalization (C112H38N2O2).
36
and complex C70–oxazoline adduct
Only two isomers of each compound were
tested in OSCs. Nevertheless, these examples provide the arguments in favour of the anisotropy effect on the OSC performances.
Figure 4 Formulae and structures of two regioisomers of bisPC71BM synthesized and tested in Ref. 35. Two isomers of bisPC71BM synthesized, separated, and tested in OSC by Deng et al.35 are shown in Figure 4 and called cis- and trans-bisPC71BM as in the mentioned experimental work. This indication clearly describes the structures of two positional isomers: the same addition pattern and different relative arrangement of the substituents in the cyclopropane ring (Figure 4). This difference in the structure affects the a2 values: according to our calculations,
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trans-isomer is less anisotropic. As shown experimentally,35 this isomer is more effective in OSC (PCE = 1.84 %) than its more anisotropic cis-counterpart (PCE = 1.72 %) (Table 2). Table 2 Calculated Eigenvalues of Polarizability Tensors (αxx, αyy, αzz), Mean Polarizabilities (α), Anisotropies of Polarizability (a2) of the C70 Bis- and Hexakisadducts and Previously Measured Key Output Parameters of Organic Solar Cells Based on These Compounds
C70 derivative a
measured parameters of the fullerene-based OSCs (taken from Ref. 35 and 36) PCE (%) VOC (V) 1.72 0.69 1.84 0.72
calculated parameters (this work) αxx (Å3) 130.93 134.16 171.24
αyy (Å3) 142.03 143.27 174.10
αzz (Å3) 194.94 189.74 234.74
α (Å3) 155.97 155.72 193.36
a2 (Å6) 3510.08 2666.31 3858.34
cis-bisPC71BM trans-bisPC71BMa cisC70oxz2(CH2Ph)4 0.55 0.95 trans171.34 173.98 234.83 193.38 3871.18 C70oxz2(CH2Ph)4 0.46 0.95 a Designated as in experimental work.34 In previous works, cis-bisPC71BM and trans-bisPC71BM are also called as ab1.1ab1'.1 and ab1.1ab1'.2 isomers, respectively.23 Another pair of the C70 regioisomeric derivatives have an untypical addition pattern:36 two oxazoline moieties (oxz) are annulated to aa bonds located on the opposite poles next to each other. These two addends are additionally surrounded by the benzyl groups attached to the nearest b atoms of the C70 cage (Figure 5). The only difference between two regioisomers of C70oxz2(CH2Ph)4 is in the relative position of N and O atoms in two oxazoline rings. We designated these isomers accordingly cis and trans (Figure 5). Their calculated anisotropies of polarizability and the measured PCE and VOC values are presented in Table 2. Due to the minor structural dissimilarity, these two isomers reveal very close values of a2. Nevertheless, the calculations indicate the cis-C70oxz2(CH2Ph)4 molecule less anisotropic and the experiments36 show that this isomer reveals higher PCE (0.55%) than the trans-counterpart (0.46%). These two examples show that the conjecture about higher power conversion efficiencies of the organic solar cells based on fullerene derivatives with lower anisotropy of polarizability remains true in the case of other higher adducts of C70.
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Figure 5 Formulae and structures of two regioisomers of C70oxz2(CH2Ph)4 synthesized and tested in Ref. 36. Hydrogen atoms are omitted for clarity.
Figure 6 Formulae and structures of the C70 monoadducts synthesized and tested in Ref. 52. 3.3. OSCs Based on the C70 Monoadducts
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Isomerism is also typical to monoadducts of C70 because its molecule contains the 53
inequivalent bonds. Among them, the ab and cc bonds are the most reactive.
Chemical
functionalization of these bonds leads to 1 isomer in the case of symmetric addends. In the case of a nonsymmetrical moiety added to C70, 1 and 2 regioisomeric structures are theoretically 14,52
possible for ab and cc additions, respectively.
Such C70 monoadducts, PC71BM (1 pure
isomer ab and mixture of 2 cc-isomers, C82H14O2) and C70dhn (2 isomers, C88H24O4, dhn is a substituted dihydronaphthyl moiety) have been recently obtained and tested in OSCs by Umeyama et al. (Figure 6).
52
We have collated the results of the experimental work with our
quantum chemical calculations. For the PC71BM isomers, we additionally provide the results of 43
the previous theoretical study
performed with another method to demonstrate the
reproducibility of the computational results. Both PBE/3ζ and B3LYP/6-311G(d,p) methods indicate almost equal mean polarizabilities of the PC71BM isomers and the increase in the anisotropy in the series: cc1.1-PC71BM < cc1.2-PC71BM < ab-PC71BM (Table 3). As the most anisotropic compound ab-PC71BM revealed lower PCE value (6.20 %) as compared to the less anisotropic regioisomers with cc-functionalization (PCE = 6.46 % for their mixture).52 In the case of two C70dhn regioisomers, we have unfortunately obtained the inconsistent result. Here, higher PCE value (4.04 %) corresponds to the most anisotropic regioisomer abC70dhn (Table 3) that breaks the regularity “lower a2 – higher PCE”. Thus, there are exceptions from this correspondence but in most cases of the C70 adducts (and the C60 adducts studied previously23), our hypothesis works. Table 3 Calculated Eigenvalues of Polarizability Tensors (αxx, αyy, αzz), Mean Polarizabilities (α), Anisotropies of Polarizability (a2) of the C70 Monoadducts and Previously Measured Key Output Parameters of Organic Solar Cells Based on These Compounds
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C70 derivative
measured parameters of the fullerene-based OSCs (taken from Ref. 52) PCE (%) VOC (V)
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calculated parameters (this work) αxx (Å3)
αyy (Å3)
αzz (Å3)
α (Å3)a a2 (Å6)a 129.06 1588.09 ab-PC71BM 6.20 0.80 113.29 118.43 155.46 (116.9) (1193.17) 127.82 994.10 cc1-PC71BM 111.73 124.15 147.58 (114.1) (671.84) 6.46 0.85 128.02 1192.10 cc2-PC71BM 111.51 122.38 150.17 (114.5) (952.11) ab-C70dhn 4.04 0.81 120.42 132.16 181.78 144.78 3182.74 cc-C70dhn 2.44 0.75 122.44 134.10 170.49 142.34 1884.01 a 42 The results of the B3LYP//6-311G(d,p) calculations are taken from previous work. 3.4. Possible Role of Fullerene-Adduct Polarizability in Organic Solar Cells We have calculated anisotropy of polarizability of diverse C70 adducts tested previously in OSCs. It is very important that assessing the output parameters of the devices utilized isomeric compounds were performed under the same experimental protocols (the same donor polymers, donor–acceptor ratios, ways of fabrication of OSCs and their testing within each isomeric set), so the devices differed only in the fullerene-adduct component. This allows comparing the measured PCE (and other parameters). As the present study shown, organic solar cells containing regioisomers of the C70 fullerene adducts with low anisotropy of polarizability reveal higher PCE values. This remains true in most cases and has only two exceptions (two isomers of C70ind2 and C70dhn). Previously, similar tendency has been found for the C60 bisadducts.23 Thus, low anisotropy of polarizability of the fullerene adducts corresponds to higher power conversion efficiency of organic solar cells based on them. This hypothesis is verified by most of the studied compounds of C60 and C70. As for limitations, it is applicable only to the isomeric fullerene derivatives (we have shown this trying extrapolate the rule to a large set of non-isomeric C60 monoadducts44). Nonetheless, the use of this hypothesis may narrow down the list of potential fullerene adducts and concentrate the synthetic and purification efforts on the producing of the most promising compounds.
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Polarizability is a fundamental quantity important for diverse physicochemical processes, so its influence obviously have complex nature and our suggestions about its relation to OSCs are quite speculative. Additionally, the calculated values correspond to molecular property whereas the measurements reflect the dynamic behaviour of the bulk material. Nevertheless, we can mention four points of importance of polarizability for acting OSCs. The first point deals with the dependence of dielectric permittivity ε on the polarizability according to Clausius– Mossotti equation (ρ is a density of the matter):
ε = 1 + ρα 1 −
ρα
−1
+ 3
ρ 2α 2 3
(4)
Dielectric constant is considered as a central parameter decisive for choosing the most efficient regimes for OSCs54 Traditionally, this quantity is used in such studies in a scalar form. Based on the anisotropy effect found, tensorial nature of dielectric permittivity and/or its anisotropy should be taken into account to improve the existing models for assessing the OSC efficacy. The most recent studies have confirmed the importance of polarizability and dielectric phenomena on the recombination processes on the donor–acceptor interfaces in OSCs.55,56 In addition, low dielectric constant (and, in a context of the present work, possibly its low anisotropy) is considered as one of the requirements for molecular design of non-fullerene OSC acceptors.57 The second point deals with the polarizability of fullerene charge-transfer complexes generated upon OSC processing.58 Polarizabilities of the excited states of such complexes exceed 2000 Å3.58 Thus, these entities should be strongly influenced by external electric fields and their anisotropy of polarizability may affect the charge-transfer complexes decay. Unfortunately, no common trends are currently known as experimental studies of the effect of the electric field on the dissociation give conflicting results (see prospective article59).
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Third, anisotropy of polarizability affects interface processes, e.g. wetting. As is known, the polarizabilities of wetting liquid αL and wetted solid αS can be used to estimate contact angle of wetting θc according to de Gennes equation:
60
cosθ c =
2α S
αL
−1
(5)
The OSC composite materials may be roughly approximated as the phase of fullerene adduct (αL parameter) wetting the surface of the polymer phase (αS in eqn (5)). This seems reliable in the context of the experimental work,26 in which wetting and surface tension were efficiently used to explain the observed molecular structure–device function relationship for OSCs based on the o-xylenyl bisadducts of C60 with different side solubilizing chemical groups. At last, anisotropy of polarizability is associated with the shape of the acceptor molecule. This may be decisive for packing and ordering the acceptor and/or donor–acceptor phases, i.e. influences on morphology of the OSC materials. Effect of disorder (primarily structural or steric) on OSC efficacy is currently under meticulous investigation61,62 and some studies even stress that PCE depends on morphology-dominated properties rather than energetic parameters.63 4. Conclusion In the present work, we have computationally studied polarizability of several isomeric sets of the C70 adducts (C70ind2, bisPC71BM, C70oxz2(CH2Ph)4, PC71BM, and C70dhn2) recently tested as electron acceptors in organic solar cells. We have found that, in general, the devices utilizing the C70 adducts with low anisotropy of polarizability reveal higher power conversion efficiencies as compared to their highly anisotropic regioisomers. The cases falling out this trend are C70 monoadducts with substituted dihydronaphthyl moieties and two isomers of C70–indene bisadduct. We do not discuss here the reasons of these mismatches as their scrutinizing requires
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additional experimental and theoretical studies. In the case of the C70–indene bisadducts, the deviation from the common trend may be associated with the impurity of the samples. Uniting the results of the present study with the previous similar relationship for C60 bisadducts (correspondence “low a2 – high PCE”), we formulate the minimum anisotropy hypothesis: fullerene adducts with low anisotropy of polarizability are more efficient as electron acceptor materials for organic solar cells than their highly anisotropic regioisomers. We stress that this proposition is suitable for comparison only of the regioisomeric fullerene adducts. Taking into account high numbers of isomeric structures corresponding to the C60 and C70 higher adducts and difficulties of their targeted synthesis and/or separation, the application of this rule may facilitate screening and producing novel fullerene derivatives promising for organic photovoltaics. ASSOCIATED CONTENT Supporting Information. Cartesian coordinates of the optimized fullerene derivatives. This material is available free of charge via the Internet at http://pubs.acs.org. AUTHOR INFORMATION Corresponding Author *E-mail:
[email protected]. Phone/Fax: +7 (347) 284 27 50. Notes The authors declare no competing financial interest. ACKNOWLEDGMENT This work was financially supported by Russian Foundation for Basic Research (project 16-0300822).
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REFERENCES (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11)
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(13)
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(15) (16) (17) (18)
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Blom, P. W. M.; Mihailetchi, V. D.; Koster, L. J. A.; Markov, D. E. Device Physics of Polymer:Fullerene Bulk Heterojunction Solar Cells. Adv. Mater. 2007, 19, 1551–1566. Anthony, J. E.; Facchetti, A.; Heeney, M.; Marder, S. R.; Zhan, X. n-Type Organic Semiconductors in Organic Electronics. Adv. Mater. 2010, 22, 3876–3892. Deibel, C.; Dyakonov, V. Polymer–Fullerene Bulk Heterojunction Solar Cells. Rep. Prog. Phys. 2010, 73, 096401. Nelson, J. Polymer:Fullerene Bulk Heterojunction Solar Cells. Mater. Today 2011, 14, 462–470. De Longchamp, D. M.; Kline, R. J.; Herzing, A. Nanoscale Structure Measurements for Polymer-Fullerene Photovoltaics. Energy Environ. Sci. 2012, 5, 5980–5993. Liu, T.; Troisi, A. What Makes Fullerene Acceptors Special as Electron Acceptors in Organic Solar Cells and How to Replace Them. Adv. Mater. 2013, 25, 1038–1041. Lai, Y.-Y.; Cheng, Y.-J.; Hsu, C.-S. Applications of Functional Fullerene Materials in Polymer Solar Cells. Energy Environ. Sci. 2014, 7, 1866–1883. Few, S.; Frost, J. M.; Nelson, J. Models of Charge Pair Generation in Organic Solar Cells. Phys. Chem. Chem. Phys. 2015, 17, 2311–2325. Xiao, Z.; Geng, X.; He, D.; Jia, X.; Ding, L. Development of Isomer-Free Fullerene Bisadducts for Efficient Polymer Solar Cells. Energy Env. Sci 2016, 9, 2114–2121. Li, Y. Fullerene-Bisadduct Acceptors for Polymer Solar Cells. Chem.–Asian J. 2013, 8, 2316–2328. Wang, Y.-W.; Zhang, W.; Ai, X.-C.; Zhang, J.-P.; Wang, X.-F.; Kido, J. Influence of Fullerene Multiadducts on the Morphology and Charge Photogeneration of Their Photovoltaic Blends with Poly(3-Hexylthiophene). J. Phys. Chem. C 2013, 117, 25898– 25907. Umeyama, T.; Imahori, H. Design and Control of Organic Semiconductors and Their Nanostructures for Polymer–fullerene-Based Photovoltaic Devices. J. Mater. Chem. A 2014, 2, 11545–11560. Yan, W.; Seifermann, S. M.; Pierrat, P.; Bräse, S. Synthesis of Highly Functionalized C60 Fullerene Derivatives and Their Applications in Material and Life Sciences. Org Biomol Chem 2015, 13, 25–54. Cerón, M. R.; Echegoyen, L. Recent Progress in the Synthesis of Regio-Isomerically Pure Bis-Adducts of Empty and Endohedral Fullerenes: Fullerene Bis-Adducts. J. Phys. Org. Chem. 2016, DOI: 10.1002/poc.3563. Thilgen, C.; Diederich, F. Structural Aspects of Fullerene Chemistry: A Journey through Fullerene Chirality. Chem. Rev. 2006, 106, 5049–5135. Sabirov, D. S.; Bulgakov, R. G.; Khursan, S. L. Indices of the Fullerene Reactivity. ARKIVOC 2011(8), 200–224. Curry, N. P.; Doust, B.; Jelski, D. A. A Computational Study of the Combinatorial Addition of Oxygen to Buckminsterfullerene. J. Clust. Sci. 2001, 12, 385–390. Sabirov, D. S.; Bulgakov, R. G. Reactivity of Fullerene Derivatives C60O and C60F18 (C3v) in Terms of Local Curvature and Polarizability. Fullerene Nanotube Carbon Nanostruct. 2010, 18, 455–457. Tuktarov, A. R.; Akhmetov, A. R.; Sabirov, D. S.; Khalilov, L. M.; Ibragimov, A. G.; Dzhemilev, U. M. Catalytic [2+1] Cycloaddition of Diazo Compounds to [60]Fullerene. Russ. Chem. Bull. 2010, 58, 1724–1730.
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(20) Tuktarov, A. R.; Korolev, V. V.; Sabirov, D. S.; Dzhemilev, U. M. Catalytic Cycloaddition of Diazoalkanes to Fullerene C60. Russ. J. Org. Chem. 2011, 47, 41–47. (21) Hwang, Y.-G.; Lee, S.; Lee, K.-H. DFT Study for Substitution Patterns of C20H18X2 Regioisomers (X = F, Cl, Br, or OH). Bull. Korean Chem. Soc. 2012, 33, 641–646. (22) Lee, S.; Lee, J. Y.; Lee, K. H. Frontier Orbitals of Fifteen C20H17(OH)3 Regioisomers: Hybrid DFT B3LYP Study. Bull. Korean Chem. Soc. 2013, 34, 2403–2407. (23) Sabirov, D. S. Anisotropy of Polarizability of Fullerene Higher Adducts for Assessing the Efficiency of Their Use in Organic Solar Cells. J. Phys. Chem. C 2013, 117, 9148–9153. (24) Sabirov, D. S.; Terentyev, A. O.; Bulgakov, R. G. Counting up the Isomers and Estimation of Anisotropy of Polarizability of the Selected C60 and C70 Bisadducts Promising for Organic Solar Cells. J. Phys. Chem. A 2015, 119, 10697–10705. (25) Sabirov, D. S.; Terentyev, A. O.; Cataldo, F. Bisadducts of the C60 and C70 Fullerenes with Anthracene: Isomerism and DFT Estimation of Stability and Polarizability. Comput. Theor. Chem. 2016, 1081, 44–48. (26) Kim, K.-H.; Kang, H.; Kim, H. J.; Kim, P. S.; Yoon, S. C.; Kim, B. J. Effects of Solubilizing Group Modification in Fullerene Bis-Adducts on Normal and Inverted Type Polymer Solar Cells. Chem. Mater. 2012, 24, 2373–2381. (27) Tian, C.-B.; Deng, L.-L.; Zhang, Z.-Q.; Dai, S.-M.; Gao, C.-L.; Xie, S.-Y.; Huang, R.-B.; Zheng, L.-S. Bis-Adducts of Benzocyclopentane- and Acenaphthene-C60 Superior to Mono-Adducts as Electron Acceptors in Polymer Solar Cells. Sol. Energy Mater. Sol. Cells 2014, 125, 198–205. (28) Lai, Y.-Y.; Liao, M.-H.; Chen, Y.-T.; Cao, F.-Y.; Hsu, C.-S.; Cheng, Y.-J. Compact BisAdduct Fullerenes and Additive-Assisted Morphological Optimization for Efficient Organic Photovoltaics. ACS Appl. Mater. Interfaces 2014, 6, 20102–20109. (29) Kitaura, S.; Kurotobi, K.; Sato, M.; Takano, Y.; Umeyama, T.; Imahori, H. Effects of Dihydronaphthyl-Based [60]Fullerene Bisadduct Regioisomers on Polymer Solar Cell Performance. Chem. Commun. 2012, 48, 8550–8552. (30) Tao, R.; Umeyama, T.; Kurotobi, K.; Imahori, H. Effects of Alkyl Chain Length and Substituent Pattern of Fullerene Bis-Adducts on Film Structures and Photovoltaic Properties of Bulk Heterojunction Solar Cells. ACS Appl. Mater. Interfaces 2014, 6, 17313–17322. (31) Tao, R.; Umeyama, T.; Higashino, T.; Koganezawa, T.; Imahori, H. A Single Cis-2 Regioisomer of Ethylene-Tethered Indene Dimer–Fullerene Adduct as an ElectronAcceptor in Polymer Solar Cells. Chem. Commun. 2015, 51, 8233–8236. (32) Tao, R.; Umeyama, T.; Higashino, T.; Koganezawa, T.; Imahori, H. Synthesis and Isolation of Cis -2 Regiospecific Ethylene-Tethered Indene Dimer–[70]Fullerene Adduct for Polymer Solar Cell Applications. ACS Appl. Mater. Interfaces 2015, 7, 16676–16685. (33) Zhao, F.; Meng, X.; Feng, Y.; Jin, Z.; Zhou, Q.; Li, H.; Jiang, L.; Wang, J.; Li, Y.; Wang, C. Single Crystalline Indene-C60 Bisadduct: Isolation and Application in Polymer Solar Cells. J. Mater. Chem. A 2015, 3, 14991–14995. (34) Zhang, B.; Subbiah, J.; Jones, D. J.; Wong, W. W. H. Separation and Identification of indene–C70 Bisadduct Isomers. Beilstein J. Org. Chem. 2016, 12, 903–911. (35) Deng, L.-L.; Li, X.; Wang, S.; Wu, W.-P.; Dai, S.-M.; Tian, C.-B.; Zhao, Y.; Xie, S.-Y.; Huang, R.-B.; Zheng, L.-S. Stereomeric Effects of bisPC71BM on Polymer Solar Cell Performance. Sci. Bull. 2016, 61, 132–138.
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(36) Li, S.-H.; Li, Z.-J.; Nakagawa, T.; Jeon, I.; Ju, Z.; Matsuo, Y.; Gao, X. Multifunctionalization of C70 at the Two Polar Regions with a High Regioselectivity via Oxazolination and Benzylation Reactions. Chem. Commun. 2016, 52, 5710–5713. (37) Sabirov, D. S. Polarizability as a Landmark Property for Fullerene Chemistry and Materials Science. RSC Adv. 2014, 4, 44996–45028. (38) Hornberger, K.; Gerlich, S.; Ulbricht, H.; Hackermüller, L.; Nimmrichter, S.; Goldt, I. V.; Boltalina, O.; Arndt, M. Theory and Experimental Verification of Kapitza–Dirac–Talbot– Lau Interferometry. New J. Phys. 2009, 11, 43032. (39) Sabirov, D. S.; Bulgakov, R. G. Polarizability of Oxygen-Containing Fullerene Derivatives С60Оn and С70О with Epoxide/Oxidoannulene Moieties. Chem. Phys. Lett. 2011, 506, 52– 56. (40) Sabirov, D. S.; Garipova, R. R.; Bulgakov, R. G. General Formula for Accurate Calculation of Halofullerenes Polarizability. Chem. Phys. Lett. 2012, 523, 92–97. (41) Sabirov, D. S.; Tukhbatullina, A. A.; Bulgakov, R. G. Dependence of Static Polarizabilities of C60Xn Fullerene Cycloadducts on the Number of Added Groups X = CH2 and NH (n = 1–30). Comput. Theor. Chem. 2012, 993, 113–117. (42) Sabirov, D. S.; Garipova, R. R.; Bulgakov, R. G. Polarizability of C70 Fullerene Derivatives C70X8 and C70X10. Fullerene Nanotube Carbon Nanostruct. 2012, 20, 386– 390. (43) Akhtari, K.; Hassanzadeh, K.; Fakhraei, B.; Hassanzadeh, H.; Akhtari, G.; Zarei, S. A. First Hyperpolarizability Orientation in [70]PCBM Isomers: A DFT Study. Comput. Theor. Chem. 2014, 1038, 1–5. (44) Sabirov, D. S.; Terentyev, A. O.; Shepelevich, I. S. Comment on “Fullerene-Based Materials for Solar Cell Applications: Design of Novel Acceptors for Efficient Polymer Solar Cells – a DFT Study” by A. Mohajeri and A. Omidvar, Phys. Chem. Chem. Phys., 2015, 17 , 22367. Phys. Chem. Chem. Phys. 2016, 18, 4216–4218. (45) Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett. 1996, 77, 3865–3868. (46) Laikov, D. N.; Ustynyuk, Y. A. PRIRODA-04: A Quantum-Chemical Program Suite. New Possibilities in the Study of Molecular Systems with the Application of Parallel Computing. Russ. Chem. Bull. 2005, 54, 820–826. (47) Sabirov, D. S.; Garipova, R. R.; Bulgakov, R. G. Density Functional Theory Study on the Decay of Fullerenyl Radicals RC60•, ROC60•, and ROOC60• (R = tert-Butyl and Cumyl) and Polarizability of the Formed Fullerene Dimers. J. Phys. Chem. A 2013, 117, 13176–13183. (48) Sabirov, D. S. Polarizability of C60 Fullerene Dimer and Oligomers: The Unexpected Enhancement and Its Use for Rational Design of Fullerene-Based Nanostructures with Adjustable Properties. RSC Adv. 2013, 3, 19430–19439. (49) Fan, X.; Cui, C.; Fang, G.; Wang, J.; Li, S.; Cheng, F.; Long, H.; Li, Y. Efficient Polymer Solar Cells Based on Poly(3-hexylthiophene):Indene-C70 Bisadduct with a MoO3 Buffer Layer. Adv. Funct. Mater. 2012, 22, 585–590. (50) Hu, L.; Cui, R.; Huang, H.; Lin, G.; Guo, X.; Yang, S.; Lian, Y.; Dong, J.; Sun, B. Isomers of IC70BA and Their Photovoltaic Performance in Polymer Solar Cells. J. Nanosci. Nanotechnol. 2015, 15, 5285–5290. (51) Sokolov, V. I. The Problem of Fullerenes. The Chemical Aspect. Russ. Chem. Bull. 1993, 42, 1–11. (52) Umeyama, T.; Miyata, T.; Jakowetz, A. C.; Shibata, S.; Kurotobi, K.; Higashino, T.; Koganezawa, T.; Tsujimoto, M.; Gélinas, S.; Matsuda, W.; Seki, S.; Friend, R. H.;
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(53)
(54) (55)
(56)
(57)
(58)
(59) (60) (61)
(62) (63)
Imahori, H. Regioisomer Effects of [70]Fullerene Mono-Adduct Acceptors in Bulk Heterojunction Polymer Solar Cells. Chem. Sci. 2016, DOI: 10.1039/C6SC02950G. Sokolov, V. I.; Stankevich, I. V. The Fullerenes – New Allotropic Forms of Carbon: Molecular and Electronic Structure, and Chemical Properties. Russ. Chem. Rev. 1993, 62, 419–435. Koster, L. J. A.; Shaheen, S. E.; Hummelen, J. C. Pathways to a New Efficiency Regime for Organic Solar Cells. Adv. Energy Mater. 2012, 2, 1246–1253. Bayliss, S. L.; Greenham, N. C.; Friend, R. H.; Bouchiat, H.; Chepelianskii, A. D. SpinDependent Recombination Probed through the Dielectric Polarizability. Nat. Commun. 2015, 6, 8534. Hsiao, Y.-C.; Wu, T.; Li, M.; Qin, W.; Yu, L.; Hu, B. Revealing Optically Induced DipoleDipole Interaction Effects on Charge Dissociation at Donor:Acceptor Interfaces in Organic Solar Cells under Device-Operating Condition. Nano Energy 2016, 26, 595–602. Sauvé, G.; Fernando, R. Beyond Fullerenes: Designing Alternative Molecular Electron Acceptors for Solution-Processable Bulk Heterojunction Organic Photovoltaics. J. Phys. Chem. Lett. 2015, 6, 3770–3780. Bernardo, B.; Cheyns, D.; Verreet, B.; Schaller, R. D.; Rand, B. P.; Giebink, N. C. Delocalization and Dielectric Screening of Charge Transfer States in Organic Photovoltaic Cells. Nat. Commun. 2014, 5, 3245. Gao, F.; Inganäs, O. Charge Generation in Polymer–fullerene Bulk-Heterojunction Solar Cells. Phys. Chem. Chem. Phys. 2014, 16, 20291–20304. de Gennes, P. G. Wetting: Statics and Dynamics. Rev. Mod. Phys. 1985, 57, 827–863. Tummala, N. R.; Elroby, S. A. K.; Aziz, S. G.; Risko, C.; Coropceanu, V.; Bredas, J.-L. Packing and Disorder in Substituted Fullerenes. J. Phys. Chem. C 2016, 120, 17242– 17250 Wu, W.-P.; Deng, L.-L.; Li, X.; Zhao, Y. Theoretical Insight into the Stereometric Effect of bisPC71BM on Polymer Cell Performance. Sci. Bull. 2016, 61, 139–147. Jackson, N. E.; Savoie, B. M.; Marks, T. J.; Chen, L. X.; Ratner, M. A. The Next Breakthrough for Organic Photovoltaics? J. Phys. Chem. Lett. 2015, 6, 77–84.
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Table of Contents Entry 57x56mm (300 x 300 DPI)
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Figure 1 Structures of regioisomeric C70-indene bisadducts C70ind2. Their designations within “clock numeration” taken from Ref. 33 are kept in the present work. Carbon atoms of polar pentagons of C70 are colored in red. Schematics of mutual arrangement of the indene addends relative to polar pentagons of the C70 cage accompany each structure for clarity. 165x248mm (300 x 300 DPI)
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Figure 2 Correlation between the output parameters of organic solar cells (PCE and VOC) based on C70– indene bisadducts and their anisotropies of polarizabilities. The PCE and VOC values are taken from previous experimental work.34 The points corresponding to the isomers, which do not fit the correlation, are circumscribed. 184x146mm (120 x 120 DPI)
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Figure 3 Structure and schematic of addition of the proposed low-anisotropy positional isomer cc1.1cc2.1C70ind2. The functionalized cc bonds are shown in red. 430x211mm (120 x 120 DPI)
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Figure 4 Formulae and structures of two regioisomers of bisPC71BM synthesized and tested in Ref. 35. 263x138mm (300 x 300 DPI)
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Figure 5 Formulae and structures of two regioisomers of C70oxz2(CH2Ph)4 synthesized and tested in Ref. 36. Hydrogen atoms are omitted for clarity. 172x171mm (300 x 300 DPI)
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Figure 6 Formulae and structures of the C70 monoadducts synthesized and tested in Ref. 52. 92x86mm (300 x 300 DPI)
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