Theoretical screening and design of SM315-based porphyrin dyes for highly efficient dye-sensitized solar cells with near-IR light harvesting

Theoretical screening and design of SM315-based porphyrin dyes for highly efficient dye-sensitized solar cells with near-IR light harvesting

Accepted Manuscript Theoretical screening and design of SM315-based porphyrin dyes for highly efficient dye-sensitized solar cells with near-IR light ...

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Accepted Manuscript Theoretical screening and design of SM315-based porphyrin dyes for highly efficient dye-sensitized solar cells with near-IR light harvesting Yan Fu, Tian Lu, Yongxin Xu, Minjie Li, Zhen Wei, Huan Liu, Wencong Lu PII:

S0143-7208(17)32372-0

DOI:

10.1016/j.dyepig.2018.03.045

Reference:

DYPI 6630

To appear in:

Dyes and Pigments

Received Date: 24 November 2017 Revised Date:

17 March 2018

Accepted Date: 22 March 2018

Please cite this article as: Fu Y, Lu T, Xu Y, Li M, Wei Z, Liu H, Lu W, Theoretical screening and design of SM315-based porphyrin dyes for highly efficient dye-sensitized solar cells with near-IR light harvesting, Dyes and Pigments (2018), doi: 10.1016/j.dyepig.2018.03.045. This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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Theoretical Screening and Design of SM315-Based Porphyrin Dyes for Highly

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Efficient Dye-Sensitized Solar Cells with Near-IR Light Harvesting

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Yan Fu, Tian Lu, Yongxin Xu, Minjie Li*, Zhen Wei, Huan Liu, Wencong Lu*

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4 Department of Chemistry, College of Science, Shanghai University, Shanghai 200444, P.R. China

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Email:[email protected]; [email protected]

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Tel:+86-21-66133513

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ACCEPTED MANUSCRIPT Abstract: We screened five π-conjugated bridges and further designed four dyes

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FSQ101-FSQ104 with screened π-linker B1 as bridge, four electron-rich units D1-D4

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as donors and electron-withdrawing cyanoacrylic acid as acceptor, based on

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experimentally synthesized dye SM315 for highly efficient dye-sensitized solar cells

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(DSSCs) using density functional theory (DFT) and time-dependent density

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functional theory (TDDFT) methods. Our theoretical results reveal that designed dyes

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FSQ101-FSQ104 have not only remarkably better light harvesting abilities toward the

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near-infrared (NIR) region with broader light harvesting efficiency (LHE) curves and

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higher maximum short circuit current densities ( J scmax ), but also obviously narrower

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band gaps, larger adsorption energies (Eads), lower exciton binding energies (EBEs),

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larger conduction band energy shifts (∆ECB ) compared to dye SM315. Therefore, the

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designed dyes FSQ101-FSQ104 might have superior performances and could be

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promising sensitizer candidates for highly efficient DSSCs.

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Graphical Abstract

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ACCEPTED MANUSCRIPT 1

Keywords: Porphyrin dyes, DFT/TDDFT, D-π-A structure, Vis/NIR, Optoelectronic

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properties

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1. Introduction Dye-sensitized solar cells (DSSCs) have been widely investigated due to low

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manufacturing costs, ease of fabrication, and tunable aesthetic features of color and

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transparency [1-5], since the seminal work was reported by O’Regan and Grätzel with

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the power conversion efficiency (PCE) of 7.1% in 1991 [6]. Generally, such device

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mainly consists of a dye sensitizer, a metal oxide semiconductor (typically TiO2) as a

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photoanode, a redox electrolyte and a counter electrode (cathode) [7]. As one of the

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most crucial components in DSSCs, the sensitizer plays a significant role in light

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capturing and electron injection which impacts on PCE [2]. Over the last two decades,

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ruthenium complexes [8], metal-free organic dyes [9, 10] and porphyrin sensitizers [3,

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11, 12] have been fully investigated.

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Although the PCE of DSSCs based on ruthenium dyes has reached 11% [13] under

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simulated AM 1.5 irradiation (100 mW cm-2), such as dyes N3 and N719 [14], their

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further application might be limited for rarity and environmental concerns [15]. Thus,

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it is still imperative to develop efficient noble-metal-free sensitizers. Among the dyes,

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porphyrin has aroused wide attention due to its structural similarities to chlorophylls

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in natural photosynthetic systems, as well as its exceptional photophysical properties

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and electrochemical stabilities [16, 17].

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Benefitting from its heterocyclic macrocycle with a π-aromatic core, porphyrin

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shows an intense Soret band (B band) at 350-500 nm and a moderately weak Q band

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at 550-700 nm in the visible region [18, 19]. In general, porphyrin-based dyes employ

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the donor-π bridge-acceptor (D-π-A) structure. It has been revealed that the

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photophysical and electrochemical properties of porphyrins and the efficiencies of 4

ACCEPTED MANUSCRIPT DSSCs could be greatly tuned with molecular engineering on π-conjugated bridge,

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electron-donating and electron-accepting moieties [20-27]. In 2011, Yella et al.

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reported a D-π-A type porphyrin dye YD2-o-C8 with cosensitizer Y123 reaching a

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high PCE of 12.3% [3]. Since then, great efforts have been devoted to reengineer the

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structure of YD2-o-C8 for improving the light-harvesting capability. In 2014, Grätzel

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and co-workers synthesized dyes GY50 [21] and SM315 [12] by introducing

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2,1,3-benzothiadiazole (BTD) as a π bridge and simultaneously well-engineered

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donor based on YD2-o-C8, achieving a higher efficiency of 12.75% and a record

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efficiency of 13%, respectively, in a cobalt(II/III)-based ([Co(bpy)3]2+/3+) redox

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electrolyte without co-sensitizers.

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Even though porphyrin sensitizers exhibit a spectral feature covering the visible

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absorption region, 400-700 nm, it is still imperative to engineer the structures of

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D-π-A porphyrin sensitizers with enhanced NIR harvesting to improve the

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photovoltaic performance. However, it would be time-consuming and cost-expensive

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to synthesize porphyrins by conventional experimental approaches [13, 28, 29].

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Fortunately, theoretical calculation with low cost is becoming a powerful tool for the

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design of efficient dyes in DSSCs.

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In this paper, a series of porphyrin derivatives have been studied in theory

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systematically, based on experimentally synthesized dye SM315 with the record PCE

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by introducing better donors, π-bridges, and acceptor for more efficient porphyrin

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dyes. The models of all investigated dyes are shown in Figure 1. The photoelectrical

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properties including the ground-state geometries, frontier molecular orbitals (FMOs), 5

ACCEPTED MANUSCRIPT energy levels and absorption spectra and charge transfer (CT) characters of dyes were

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predicted using the density functional theory (DFT) and time dependent density

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functional theory (TDDFT) methods [30, 31]. In addition, some key parameters

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related to PCE were predicted, including exciton binding energy (EBE), light

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harvesting efficiency (LHE) curve, maximum short circuit current density ( J scmax ),

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injection driving energy (∆Ginj), driving force of regeneration (∆Greg), conduction

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band energy shift (∆ECB) and dipole moment (µnormal). We hope our work could offer

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theoretical guideline for experimentalists in the effective design of highly efficient

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porphyrin sensitizers to improve the PCE of DSSCs.

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Figure 1. Chemical structures of the studied Zn-porphyrin dyes. The hexyl and octyl groups are

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replaced by methyl groups marked with dashed and solid circles, respectively.

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2. Computational Details

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The ground-state geometries of the dye molecules were fully optimized at hybrid

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DFT levels by B3LYP function with LANL2DZ basis set, which has been proven to

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be relatively reliable for optimizing the geometries of porphyrin dyes [16, 32]. On the 6

ACCEPTED MANUSCRIPT basis of ground-state optimized geometries, the vibrational frequency calculations

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were performed at the same level of theory to confirm that the optimized geometries

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are local minima (no imaginary frequencies) on the potential energy surfaces. The 12

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lowest singlet-singlet excitations were calculated using the TD-DFT method in

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conjunction with the linear-response IEF-PCM model (integral equation formalism

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polarizable continuum model) in its non-equilibrium limit [33, 34] in solvent

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tetrahydrofuran (THF) phase without any further parameter.

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With the aim to select a reliable functional to evaluate the vertical excitation

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energies, different time-dependent density functionals, including TD-B3LYP [35],

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TD-CAM-B3LYP [16, 36], TD-PBE0 [32], TD-HSE0 [37, 38], TD-BHandHLYP [39],

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TD-M06 and TD-M062X [40] were used. To enhance the computing efficiency, the

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hexyl and octyl groups of the dyes were replaced by methyl groups, which has been

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proved to have negligible effect on the photovoltaic properties of the porphyrin dyes

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[32, 41]. The absorption spectra by different methods along with experimental values

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of SM315 are presented in Figure S1 and Table S1. The maximum absorption

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wavelengths and band shapes indicate that TD-CAM-B3LYP is the optimal functional

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in general to be implemented to simulate the excited states of subject dye[12].

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Furthermore, the 0-0 energy[78] of SM315 (Table S1) using TD-CAM-B3LYP also

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has been conducted to make sure the reliability of the calculation for optical

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properties[12]. Although we are aware that such comparison between theoretical 0-0

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energy and experimental data should be made with care, the 0-0 energy simulations

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with various TD-DFT methods would be time-consuming and beyond our scope here.

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ACCEPTED MANUSCRIPT Therefore, we choose the CAM-B3LYP functional to predict the optical properties of

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the investigated dyes. Frontier molecular orbital energy levels were obtained at the

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TD-CAM-B3LYP/LANL2DZ/IEF-PCM level in THF. The oxidation potential

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energies were determined at the M06/6-311G(d,p) level in THF [41]. All the

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calculations of the studied dyes were performed with DFT and TDDFT methods using

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the Gaussian 09 package [46]. For the further exploration of intramolecular charge

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transfer (ICT) from donor to acceptor [5, 42], the electron density difference maps

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(EDDs) and two charge transfer parameters (qCT, DCT) [43, 44] from the ground state

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(S0) to the first excited state (S1) were also investigated by Multiwfn 3.4 code [45].

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To gain an insight into the coupling interactions between dyes and TiO2 surface, the

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photoelectrical properties of porphyrin dyes adsorbed on the (TiO2)38 cluster were

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investigated with DFT calculations using DMol3 program [47, 48] in Material Studio

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Version 7.0. The geometries of (TiO2)38 cluster and dye-(TiO2)38 complexes were

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optimized using the generalized gradient-corrected approximation (GGA) method [49]

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with Perdew-Burke-Ernzerhof (PBE) functional [50, 51] and double numerical

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polarization (DNP) basis set. The excitation energy of (TiO2)38 cluster is in good

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agreement with the experimental results of the TiO2 semiconductor, proven to be a

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reasonable model to mimic the effects of the semiconductor surface in previous works

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[52, 53]. All dyes were adsorbed on the TiO2 surface through bidentate bridging mode

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[54], which is one of the stable modes for carboxylic acid anchor on TiO2 surface [55,

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56]. Then, the electronic structures of dye-(TiO2)38 complexes were investigated

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through single point calculations at the CAM-B3LYP/SVP/IEF-PCM level [57] in

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THF using the Gaussian 09 package. Subsequently, the simulated total density of

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states (TDOS) of the (TiO2)38 cluster and partial density of states (PDOS) of TiO2 in

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the dye-(TiO2)38 complexes were obtained with GaussSum 3.0.1 [58].

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3. Results and Discussion

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3.1 Screening of π-Conjugated Bridge

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The π-conjugated bridge is a key part of the D-π-A structure in dye for high

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performance DSSC devices. To screen predominant π-bridge candidate of porphyrin

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derivatives, we simulated molecular geometries, electronic structures and the

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characteristics of absorption spectra of five screened dyes F101-F105 (Figure 1) by

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introducing different π-conjugated bridges B1-B5 based on experimentally synthesized

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dye SM315.

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The optimized structures and geometrical parameters of the investigated dyes are

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illustrated in Figure S2 and Table S2, respectively. The dihedral angles Φ1 between

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π-linkers and acceptors in the screened dyes and SM315 are all close to 0°. The

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dihedral angles Φ2 formed between BTD and π-linkers in dyes F101-F105 are

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predicted to be -0.08°, -0.76°, 0.01°, 0.01°and -0.02°, respectively, which also

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approximate to 0°. However, the dihedral angle Φ2 of SM315 is -25.63° for the steric

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repulsion between hydrogen atoms. Therefore, the introducing of π-linkers B1-B5

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effectively improves the coplanarity of the screened dyes, which might be beneficial

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to intramolecular charge transfer behaviors [59].

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To investigate the effect of π-linkers on the electronic properties, the electron

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density distributions of frontier molecular orbitals (FMOs, Figure 2) for the studied 9

ACCEPTED MANUSCRIPT dyes were performed. The electron density of HOMO for the screened dyes and

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SM315 is mainly localized on the donor group to the porphyrin ring moiety and partly

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spreaded over BTD moiety, while the electron density of LUMO plentifully

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distributes on the acceptor group, π-bridge and BTD moiety, less electron density

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around the porphyrin core. Such distinct charge separated states would facilitate the

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efficient electron injection from dyes to the conduction band of semiconductor (TiO2),

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while the overlap on the porphyrin macrocycle and BTD moiety of FMOs is

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beneficial for ICT transition [60] in the absorption process.

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Figure 2. Frontier molecular orbitals of the studied dyes at the TD-CAM-B3LYP/ LANL2DZ/

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IEF-PCM level in THF as solvent.

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The energy levels and HOMO-LUMO band gaps of the investigated dyes were also

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performed (Figure 3). Clearly, the LUMO energy levels of all dyes are above the

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conduction band of TiO2 (-4.00 eV) and the HOMO energy levels are sufficiently

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lower than the oxidation potential of [Co(bpy)3]2+/3+ electrolyte (-5.00 eV) [61, 62],

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indicating all dyes could inject electrons from the excited sensitizers into the 10

ACCEPTED MANUSCRIPT conduction band of TiO2 and quickly recapture the injected electrons by the reduced

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species in the electrolyte. The HOMO-LUMO band gaps of F101-F105 are smaller

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than that of SM315 (3.55 eV). The results confirm that the LUMO energy levels can

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be decreased via different π-bridges and thence band gaps could be tuned.

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Figure 3. Frontier molecular orbital energy levels obtained at the TD-CAM-B3LYP/ LANL2DZ/

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IEF- PCM level in THF as solvent.

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To unveil the effect of the π-linkers on the absorption and light harvesting abilities,

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the UV-visible absorption spectra (Figure 4, Table 1) and charge transfer properties

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(Table 2) of the dyes were carried out. Apparently, the absorption spectra of the

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screened dyes show obviously red-shifted Q bands and similar Soret bands compared

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to SM315. The molar extinction coefficients corresponding to λmax of dyes

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F101-F105 are 6.6108 × 104, 6.4199 × 104, 5.0607 × 104, 6.1287 × 104, 5.6652 × 104

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M-1 cm-1, respectively, exhibiting an increment of 22.4%-59.9%, compared to SM315

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(4.1342 × 104 M-1 cm-1). From Table 1, the maximum absorption wavelength (λmax)

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of F101 has 52 nm redshift compared to SM315.

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Charge transfer process plays an important role in DSSCs. The electron density

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difference maps (EDDs) and charge transfer parameters (transferred charge qCT and

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spatial distance DCT) [43] [44] for the dyes are shown in Table 2. With the 11

ACCEPTED MANUSCRIPT presentations of EDDs, the decreasing electron density (blue) plentifully localizes on

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the donor, while the increasing electron density (purple) primarily distributes on the

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acceptor as well as BTD. The results show that the screened dyes perform

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comparable abilities in intramolecular charge transfer from donor to acceptor versus

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SM315. Furthermore, the values of qCT and DCT for the screened dyes are larger than

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the figures for SM315 (Table 2). Among the screened dyes and SM315, F101 has the

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best charge transfer performance with 0.658 e for qCT and 4.853 Å for DCT.

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Above all, we believe that π-bridge B1 will be the excellent π-conjugated bridge

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candidate for high-efficiency dyes in DSSCs and thence B1 was selected for the

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further design.

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Figure 4. The stimulated UV-Visible absorption spectra of the investigated dyes in THF solution.

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3.2 Design of D−π−A Structure

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Four dyes FSQ101-FSQ104 (Figure 1) were designed by employing the screened

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B1 as π-bridge, four strong electron-donating moieties D1-D4 as donor groups, and 12

ACCEPTED MANUSCRIPT cyanoacrylic acid A1 (with stronger electron-withdrawing capacity than carboxylic

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acid) as anchoring group based on dye SM315. The optimized structures and

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geometrical parameters of dyes FSQ101-104 are shown in Figure S2 and Table S2.

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The dihedral angles Φ1 and Φ2 in the designed dyes are all close to 0°, which would

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facilitate the intramolecular electron transfer. [63, 64]. From the Figure 2, it’s obvious

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that the electron density of HOMO for the designed dyes is mainly localized on the

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donor group as well as π-bridge and the density of LUMO is centered on the accepter,

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which could benefit the electron injection from dyes to semiconductor. Conspicuously,

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the energy levels of the designed dyes (Figure 3) could match the conduction band of

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TiO2 (-4.00 eV) and the oxidation potential of [Co(bpy)3]2+/3+ electrolyte. And these

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dyes show remarkably narrower HOMO-LUMO band gaps, especially FSQ101 and

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FSQ102 with the minimal energy gaps 2.92, 2.97 eV, respectively.

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Figure 4 displays the absorption spectra of the designed dyes, where the Q bands

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are significantly broadened and redshifted and the Soret bands are slightly red shifted

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comparing with SM315. And the absorption spectra of the designed dyes are extended

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into NIR region. The λmax of these four dyes are predicted to be 773, 764, 756, 757 nm,

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sequentially, which all achieve great enhancements compared to SM315 (651 nm).

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The molar extinction coefficients corresponding to λmax of dyes FSQ101-FSQ104 are

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9.9435 × 104, 9.7580 × 104, 10.0741 × 104 and 9.7780 × 104 M-1 cm-1, respectively,

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showing a remarkable increment of 136.0%-143.7%, compared to SM315 (4.1342 ×

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104 M-1 cm-1). The EDDs and the values of qCT, DCT also evince that the designed

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dyes gain greater charge transfer characteristics than the screened dyes and SM315.

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Particularly, FSQ101 owns the best performance with 0.719 e for qCT and 6.269 Å for

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DCT. Obviously, the designed dyes with larger λmax, higher molar extinction coefficients,

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higher oscillator strengths, significantly broader and red-shifted absorption spectra

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toward NIR region, larger qCT (e) and DCT (Å) might be promising candidates of

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porphyrin sensitizers in highly efficient DSSCs.

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Table 1. Calculated electronic transition data in termed of excitation energies (E/eV), band

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wavelengths (λ/nm), oscillator Strengths (f), and electronic compositions for the dyes in THF using TD-CAM-B3LYP/LANL2DZ on the IEF-PCM model.a E(eV) 1.76(S0→S1) 3.16(S0→S9)

λ(nm) 703 393

f 1.5806 1.1076

F102

1.80(S0→S1)

688

1.5197

3.16(S0→S8)

F104

1.82(S0→S1)

392

0.9155

679

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F103

F105

FSQ101

FSQ102

H→L(65%) H-2→L+3(38%) H-2→L+1(8%) H →L(67%) H-2→L+2(5%) H-2→L+2(50%) H-1→L+1(5%) H→L(66%) H-2→L+2(6%) H-1→L+2(45%) H→L+1(8%) H→L(67%) H-2→L+2(5%) H-2→L+2(36%) H-1→L+1(8%) H→ L(67%) H-2→L+2(6%) H-2→L+2(38%) H-1→L+1(9%) H→L(60%) H-3→L(5%) H-2→L+3(19%) H-3→L(13%) H→ L(57%)

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Dyes F101

3.19(S0→S8)

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1.1700

1.81(S0→S1)

685

1.4463

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3.13(S0→S7)

396

1.7063

1.81(S0→S1)

684

1.3446

3.16(S0→S7)

392

1.2668

1.60(S0→S1)

773

2.4426

2.81(S0→S7)

441

1.0833

1.62(S0→S1)

764

2.3902

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Composition H→L+1(11%) H→L+3(9%) H→L+2(8%) H →L+1(10%)

H-1→L(10%) H-2→L+2(9%) H-1→L(6%) H-1→L(10%)

H→L+1(22%)

H-1→L+1(6%)

H→L+1(12%)

H-1→L(9%)

H-4→L(12%)

H-1→L+1(11%)

H→L+1(11%)

H-1→L(9%)

H→L+3(15%) H-1→L+3(6%) H→L+1(11%)

H-3→L+3(12%) H→L+1(5%) H-1→L(9%)

H-2→L+1(11%) H→L+2(5%) H→L+1(13%)

H→L+1(9%) H-4→L(5%) H-1→L(11%)

H→L+1(17%) H-1→L+2(12%) H→L+1 (13%)

H-1→L(17%) H-1→L+1(6%) H-1→L(12%)

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1.0409

FSQ104

1.64(S0→S1) 3.13(S0→S10) 1.64(S0→S1)

756 396 757

2.4606 0.9169 2.3918

SM315

3.07(S0→S8) 1.91(S0→S1)

404 651

1.1799 0.9497

3.14(S0→S6)

394

1.5582

FSQ103

a

H→L+1(15%) H→L+3(31%) H→L+1(13%)

H-1→L(9%) H-2→L+1(26%) H-1→L(10%)

H-1→L(32%) H→L+1(16%)

H→L+2(11%) H-2→L+2(9%)

H→L+1(32%)

H-4→L(11%)

Only orbital percentage >5% are reported; where H=HOMO and L=LUMO.

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H→L+2(11%)

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H-1→L(31%)

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H-3→L(6%) H-2→L+3(41%) H-3→L(5%) H→ L(57%) H-2→L+2(35%) H→ L(58%) H-3→L(7%) H-2→L+3(42%) H→L(63%) H-1→L(7%) H-2→L+2(37%) H-1→L(6%)

Table 2. The EDDs and CT parameters for all dyes corresponding to the S0→S1 transition. qCT (e)

DCT(Å)

F101

0.658

4.853

F102

0.604

3.932

F103

0.637

EDDsa

qCT (e)

DCT(Å)

0.719

6.269

FSQ102

0.693

5.937

4.541

FSQ103

0.658

5.425

0.607

4.171

FSQ104

0.683

5.739

0.634

4.489

SM315

0.564

3.734

Dyes

FSQ101

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F105

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The isosurface of electron density is 0.0002 a.u.

EDDsa

The blue and purple colors symbolizes an decrease and increase in electron density, respectively.

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ACCEPTED MANUSCRIPT 1

3.3 Dye Adsorption on the (TiO2)38 cluster In order to simulate the performance of the DSSCs more vividly, we explored the

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photoelectrical properties of porphyrin dye adsorbed on the (TiO2)38 cluster. Evidently,

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the dyes take the bidentate chemisorption with two Ti-O bonds of 2.115-2.152 Å

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(Table 3 and Figure S3) [65-67]. The electron density of HOMO is entirely

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delocalized on the dyes while the density of LUMO is centered on the conductor

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(Figure S4 and Figure 5). It indicates that the studied dyes have sufficient potentials to

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efficiently inject electron into the conduction band of TiO2.

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To figure out the feasibility of electronic injection from dyes to TiO2 surface, the

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adsorption energy (Eads) was estimated from the formula Eads=Edye+TiO2 -Edye-ETiO2,

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where Edye, ETiO2, and Edye+TiO2 are the total energy of isolated dye, (TiO2)38 cluster,

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and dye-(TiO2)38 complex, respectively [68]. The negative Eads indicates that the

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molecule adsorption is exothermic and stable. The adsorption energies (Table 3) of

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dyes F101-F105 and FSQ101-FSQ104 were predicted to be -16.4, -0.8, -16.2, -16.8,

15

-15.9, -17.2, -18.2, -21.5 and -17.1 kcal mol-1, respectively. The adsorption energies of

16

the screened and designed dyes except F102 are comparable or even larger than that

17

of SM315 (15.1 kcal mol-1), which performs stronger interactions between the dyes

18

and the TiO2 surface. The adsorption energy of F102 is only -0.8 kcal mol-1, due to a

19

larger geometric distortion between dye and TiO2 surface. The results indicate that the

20

designed dyes could potentially lead to faster electron transfer rates and good

21

photovoltaic performances [35, 69].

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Figure 5. HOMO and LUMO orbital isosurfaces of dyes FSQ101-FSQ104 and SM315 adsorbed

3

on (TiO2)38 nanoparticle at the level of CAM-B3LYP/SVP/IEF-PCM.

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Table 3. The bond length (Å), and adsorption energy (kcal mol-1) of dye-(TiO2)38 complexes

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calculated by PBE/DNP in the DMol3 module.

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Dyes

Ti-O(Å)

Ti-O(Å)

Eads(kcal mol-1)

Dyes

Ti-O(Å)

Ti-O(Å)

Eads(kcal mol-1)

F101 F102 F103 F104 F105

2.152 2.143 2.141 2.137 2.144

2.130 2.125 2.125 2.119 2.126

-16.4 -0.8 -16.2 -16.8 -15.9

FSQ101 FSQ102 FSQ103 FSQ104 SM315

2.139 2.146 2.130 2.139 2.149

2.121 2.118 2.115 2.124 2.124

-17.2 -18.2 -21.5 -17.1 -15.1

7 8 9

3.4 The efficiency of DSSCs As known to all, the overall efficiency (η) of DSSCs is determined by the 17

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short-circuit current density (Jsc), the open-circuit voltage (Voc), the fill factor (FF),

2

and the incident solar power (Pinc) under AM 1.5 irradiation (100 mW cm-2). And it

3

can be expressed as [2]

5

η = FF

J scVoc Pinc

(1)

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3.4.1 Short-circuit current density (Jsc)

According to eq(1), enhancing Jsc and Voc are essential to improve the η of DSSCs.

7

Correspondingly, Jsc is the photocurrent per unit area (mA cm-2) when the DSSC

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under irradiation is short-circuited. It is related to the interaction between TiO2

9

semiconductor and dye as well as the absorption coefficient of the dye. The Jsc can be

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described by the following equation [70]

J sc = e ∫ IPCE(λ )I s (λ )d λ = e ∫ LHE(λ )Φ injηregηcoll I s (λ )d λ

(2)

where e is the elementary charge, IPCE(λ) is the incident photon-to-current

13

conversion efficiency at a fixed wavelength and Is(λ) is the corresponding photon flux

14

based on the AM 1.5G (global) solar radiation spectrum. And IPCE(λ) is the product

15

of the light-harvesting efficiency at a relevant wavelength LHE(λ), the electron

16

injection efficiency (Фinj), the regeneration efficiency (ηreg) and the charge collection

17

efficiency (ηcoll).

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According to the experimental investigation performed by Kim et al., the dye with

19

a lower exciton binding energy (EBE) will have a higher maximum incident

20

photon-to-current conversion efficiency (IPCE) [71, 72]. The EBE can be viewed as

21

the difference between the electronic and optical band gap energies. And it is

22

evaluated as [73] 18

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EBE=ELUMO-EHOMO-E0-0

(3)

where the E0-0 is an electronic vertical transition energy corresponding to the

3

maximum absorption wavelength. From Table 4, the EBEs of designed dyes are lower

4

than the ones of screened dyes and SM315, which indicates that the designed dyes

5

could be more potential to lead to higher short circuit current densities in DSSCs.

8

harvesting efficiency LHE(λ) can be obtained as followed: [8]

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For the same DSSCs, ηcoll can be seen as a constant. Correspondingly, the light

LHE( λ ) =1−10−Γσ (λ)

(4)

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where Γ is the surface loading of sensitizers (mol cm-2) grafted onto semiconductor

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and σ is the absorption cross section in units of cm2 mol-1 obtained from the decadic

11

extinction coefficient (units of M-1cm-1) by multiplication with 1000 cm3 L-1. Here, Γ

12

is set to 8.35 × 10-7 mol cm-2, according to the experimental value of SM315 [12]. The

13

calculated LHE curves are plotted in Figure 6. The curves are further extended step by

14

step in the order: SM315 < F103< F105 < F104 < F102 < F101 < FSQ103 ≈ FSQ104

15

< FSQ102 < FSQ101. Compared to SM315, the curves of dyes FSQ101-FSQ104 are

16

significantly red-shifted and broadened. Hence the designed dyes are expected to have

17

higher light-harvesting abilities and match better with the solar radiation spectrum.

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Figure 6. The plot of the simulated LHE curves of the studied dyes.

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When Фinj, ηreg and ηcoll are assumed to be unity, the calculated value of Jsc would

5

be the theoretically maximum short circuit current density ( J scmax ), which could be

6

used to reflect the overall light harvesting abilities of the dyes [41]. As is shown in

7

Table 4, it is clear that the J scmax of the designed dyes are higher than those of the

8

screened dyes and SM315, implying that the designed dyes have better light

9

harvesting abilities than other dyes. The calculated J scmax of SM315 (35.69 mA cm-2)

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is higher than the experimental one, because Фinj, ηreg and ηcoll are assumed to be 1.

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According to eq(2), we know that the Фinj and ηreg, which are closely related to the

12

driving force of electron injection (∆Ginj) and regeneration (∆Greg), could influence

13

Jsc . Generally, the ∆Ginj and ∆Greg can be described by [74, 75]

14

∆Ginj = E dye* − ECB = E dye + E0−0 − ECB

(5)

15

∆Greg = Eredox − Edye

(6)

16

where Edye*is the oxidation potential energy of the excited dye, Edye is the ground state 20

ACCEPTED MANUSCRIPT oxidation potential energy of the dye, ECB is the conduction band energy of TiO2

2

(-4.00 eV) and Eredox is the oxidation potential of [Co(bpy)3]2+/3+ (-5.00 eV) [61, 62].

3

The ∆Ginj of all dyes (Table 3) are in the range of 0.31 eV-0.58 eV. Islam et al. have

4

demonstrated that when ∆Ginj is above 0.2 eV, Фinj will be close to the unit [76]. This

5

means that an efficient electron injection occurs from all the investigated dyes into the

6

conduction band of TiO2. Moreover, the ∆Greg of all dyes are in the similar rank of

7

0.22-0.33 eV, indicating an efficient regeneration for all dyes. In a word, the driving

8

forces of electron injection and regeneration of the designed and screened dyes are

9

comparable to those of SM315.

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3.4.2 Open circuit photovoltage Voc

15

Besides the Jsc, the overall power conversion efficiency is also influenced by the open circuit voltage (Voc), which could be expressed as [77]

Voc =

ECB + ∆ECB kbT  nc  Eredox + ln  − q q q  N CB 

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(7)

where ECB is the conduction band energy of the semiconductor, ∆ECB is the shift of

17

the conduction band energy level, q is the unit charge, kbT is the thermal energy, nc is

18

the number of electrons in the conduction band, NCB is the accessible density of

19

conduction band state.

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The Voc of the dye-(TiO2)38 complex is largely affected by the conduction band

21

energy shift, which is defined as the difference of the energy-axis intercept of the line

22

that fit the low energy contour of the partial density of states (PDOS) of TiO2 in the 21

ACCEPTED MANUSCRIPT complex and that of the total density of states (TDOS) of the TiO2 cluster alone

2

(Figure 7 and Figure S5). All the simulated values are listed in Table 4. The calculated

3

∆ECB of dyes are in the narrow range of 0.145 eV to 0.157 eV. The screened and

4

designed dyes own higher values of ∆ECB than SM315. Especially, the conduction

5

band energy shifts of FSQ101-TiO2 and FSQ104-TiO2 complexes are quite larger than

6

those of other dye-(TiO2)38 complexes.

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Figure 7. Total and partial density of states (DOS) of TiO2 cluster (black) and FSQ101-TiO2

9

complex (red). The intercepts of the dashed lines with the energy axis correspond to the calculated

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CB edges.

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Table 4. Calculated electronic properties of the isolated dyes and dye-(TiO2)38 complexes. Dyes F101 F102 F103 F104

J scmax -2

(mA cm ) 45.03 44.11 42.00 43.71

EBE (eV)

Edye (eV)

Edye* (eV)

Ginject (eV)

Greg (eV)

∆ECB (eV)

1.51 1.59 1.56 1.58

-5.32 -5.29 -5.33 -5.31

-3.56 -3.49 -3.51 -3.50

0.44 0.51 0.49 0.50

0.32 0.29 0.33 0.31

0.148 0.151 0.147 0.149

22

ACCEPTED MANUSCRIPT F105 FSQ101 FSQ102 FSQ103 FSQ104 SM315 a

1.56 1.32 1.35 1.40 1.38 1.64

-5.32 -5.23 -5.22 -5.33 -5.28 -5.33

-3.51 -3.63 -3.60 -3.69 -3.64 -3.42

0.49 0.37 0.40 0.31 0.36 0.58

0.148 0.153 0.145 0.150 0.157 0.147

Data in parenthesis is the experimental value from Ref [12].

2 3

0.32 0.23 0.22 0.33 0.28 0.33

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43.27 52.14 52.01 51.95 51.96 35.69(18.1)a

4. Conclusions

We first screened five dyes F101-F105 with different π-conjugated bridges B1-B5

5

based on experimentally excellent dye SM315. The results indicate that π-linker B1 is

6

the

7

FSQ101-FSQ104 with B1 as π-bridge, four strong electron-donating moieties D1-D4

8

as donor groups and cyanoacrylic acid as anchoring group. Four designed dyes

9

FSQ101-FSQ104 exhibit obviously smaller energy gaps, higher molar extinction

10

coefficients, dramatically broader and red-shifted UV-visible absorption spectra

11

covering the entire visible range up to NIR region. Importantly, the designed dyes also

12

show lower EBEs, larger ∆ECB, remarkably better light-harvesting abilities with

13

broader LHE curves and larger J scmax compared to dye SM315, which could facilitate

14

the improvements of Jsc and Voc and then benefit the increments of the overall power

15

conversion efficiencies in DSSCs. In particular, FSQ101 is the most promising

16

sensitizer candidate for the highly efficient DSSCs. It is expected that this theoretical

17

study will provide valuable strategies for the development of highly efficient D-π-A

18

type porphyrins in future DSSCs.

promising

π-conjugated

bridge.

Then

we

designed

four

dyes

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2 3 4 5

Corresponding Author *E-mail: [email protected]; [email protected]

Notes The authors declare no competing financial interest.

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Acknowledgements

This study was supported by the National Key Research and Development Program

7

of China (2016YFB0700504), Natural Science Foundation of Shanghai, China

8

(16ZR1411500), Shanghai Municipal Education Commission (Peak Discipline

9

Construction Program) and the High Performance Computing Center of Shanghai

10

University.

11

Appendix A. Supplementary data

Supplementary data related to this article can be found at

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density functional theory. Wiley Interdisciplinary Reviews: Computational Molecular Science

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Supporting Information Theoretical Screening and Design of SM315-Based Porphyrin Dyes for Highly Efficient Dye-Sensitized Solar Cells with Near-IR Light Harvesting

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Yan Fu, Yongxin Xu, Tian Lu, Minjie Li*, Zhen Wei, Huan Liu, Wencong Lu*

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P.R. China

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Department of Chemistry, College of Science, Shanghai University, Shanghai 200444,

Email:[email protected]; [email protected]

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Tel:+86-21-66133513

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Index

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Table S1…………………………………………………………………………………………. S1 Figure S1………………………………………………………………………………………… S2 Figure S2…………………………………………………………………………………………S3 Table S2.………………………………………………………………………………………….S5 Figure S3.…………………………………………………………………………………………S6 Figure S4.…………………………………………………………………………………………S7 Figure S5.…………………………………………………………………………………………S9 The Cartesian Coordinates of molecules discussed in the text……………………………...…...S10 The Cartesian Coordinates of dyes ……………………………………………………………...S10 F101.……………………………………………………………………………………………..S10 F102.……………………………………………………………………………………………..S14 F103.……………………………………………………………………………………………..S19 F104.……………………………………………………………………………………………..S23 F105.……………………………………………………………………………………………..S27 FSQ101.………………………………………………………………………………………….S31 FSQ102.………………………………………………………………………………………….S35 FSQ103.………………………………………………………………………………………….S39 FSQ104.………………………………………………………………………………………….S44 SM315.…………………………………………………………………………………………...S48 The Cartesian Coordinates of dye-TiO2 complexes……………………………………………...S52 F101-TiO2.……………………………………………………………………………………….S52 F102-TiO2.……………………………………………………………………………………….S59 F103-TiO2.……………………………………………………………………………………….S66 F104-TiO2.……………………………………………………………………………………….S73 F105-TiO2.……………………………………………………………………………………….S80 FSQ101-TiO2.……………………………………………………………………………...…….S87 FSQ102-TiO2.……………………………………………………………………………...…….S93 FSQ103-TiO2.……………………………………………………………………………...…...S100 FSQ104-TiO2.……………………………………………………………………………...…...S107 SM315-TiO2.……………………………………………………………………………...…….S114 The Cartesian Coordinates of TiO2 cluster……………………………………………………..S121

ACCEPTED MANUSCRIPT Table S1. The absorption maxima together with the oscillator strengths (f) and 0-0 energy of dye SM315 in THF solution, calculated at the IEF-PCM-TDDFT /LANL2DZ levels using the optimized geometries. The experimental data are al

λmax(nm) 915 651 819 1001 644 816 639 668a

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f 0.4966 0.9497 0.6739 0.3327 1.0736 0.7349 1.0197 ----

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Functional B3LYP CAM-B3LYP PBE0 HSE06 BHandHLYP M06 M062X Experiment

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so given for comparison.

a

E0-0(eV) ---1.75b ---------------1.79a

The data from reference [12] in manuscript. To reduce the cost of time and computation, only the E0-0 of SM315 using TD-CAM-B3LYP was calculated.

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(a) The band shapes of SM315 with different computational methods

(b) The screenshot of experimental spectra from the original article of SM315 Figure S1 The theoretical and experimental absorption spectra of SM315.

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F101

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F102

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F104

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FSQ104

SM315

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Figure S2. The optimized geometries for the studied dyes at the B3LYP/LANL2DZ

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level.

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Φ1(°) Φ2(°) 0.01 -0.08 -0.44 -0.76 -0.01 0.01 0.02 0.01 -0.02 -0.02 0.00 -0.04 -0.03 0.53 -0.03 -0.67 0.03 -0.10 -0.31 -25.63

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angles. (Φ1, Φ2 represent the dihedral angles)

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Figure S3. The optimized structure of dye-(TiO2)38 adsorption complexes calculated at

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the GGA/PBE/DNP level in DMol3 Program.

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Figure S4. Interacting orbital isosurfaces of dyes F101-F105 adsorbed on (TiO2)38

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nanoparticle.

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Figure S5. Total and partial density of states (DOS) of TiO2 cluster (black) and

dye-TiO2 complex (red). The inercepts of the dashed lines with the energy axis

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correspond to the calculated CB edges.

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The Cartesian Coordinates of molecules discussed in the text The Cartesian Coordinates of dyes

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-4.68222500 -4.11099100 -3.96557300 -2.74742200 -4.86300400 -2.57776800 -4.56855500 -1.20251600 -2.62197100 -3.94577800 -5.93974500 -2.29260200 -3.53832900 -5.62990900 0.34056400 0.17161300 -1.40580700 -4.14218900 -0.99985500 -3.61038400 0.21035200 1.69714500 1.55057700 -0.12033200 -1.49976500 -0.91712600 1.53795500 2.45603600 2.27874800 2.15531300 1.12669200 -1.59497100 -1.50288600 -0.84985000 -0.90241800 1.73403800 3.53559900 3.69731900 3.21848600 1.19841400

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-6.11833100 -5.34752500 -4.41707000 -2.05370300 4.07337200 1.71161800 5.79596800 5.04671500 -5.75992200 -7.16216600 -6.71766300 -4.16411800 -1.62218200 5.42337000 3.80943200 1.26476100 6.84522400 6.42852800 -6.53707800 -7.34014600 -7.16263700 -6.64240000 -2.03894100 -1.90407400 -0.53453000 6.19500300 1.62930300 0.17475800 1.58988700 6.93767700 6.98386800 6.36623100 -0.35569700 -0.28792000 0.66182400 -1.09578000 0.75160900 1.50796800 -1.00634900 -1.81957500 -0.11520300 1.67612500 2.45878400 -1.67924200

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-3.28916000 -2.97144600 -1.67059000 -1.90009900 -1.72388600 -1.99723500 -3.43043800 -3.51405700 -3.36361800 -3.31364200 -2.99140900 -1.61859200 -1.58806600 -1.77578400 -1.68131800 -1.94992800 -3.56291000 -2.56488400 -4.34264200 -3.30789300 -2.16986800 -3.95161800 -2.85795000 -1.49476300 -2.58673900 -1.85055000 -0.80406700 -0.98934400 -2.77451300 -2.05869800 3.60201600 5.01439100 5.71155400 5.82371700 7.18992000 5.08175600 7.24457000 5.34659900 7.98045900 7.69277600 6.32810500 7.78123100 -7.40808100 -8.13845500

EP

AC C

C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H N C

S15

ACCEPTED MANUSCRIPT

RI PT

-0.46666900 1.86266100 0.41993800 -1.62883400 0.10469600 2.51194900 2.16855800 1.08191900 -0.40121900 -2.18998800 -2.09604500 -0.47350900 1.00713300 2.14934400 3.30298600 0.75839700 -1.63277900 -3.09945300 -0.01549900 2.90800300 -2.23063100 2.29983700 4.30120500 -2.75430300 -2.32527300 3.05717300 0.91613900 5.08242700 4.79954000 -3.35054300 -2.67058300 -2.91433300 -1.82221200 4.44674400 2.60719000 0.22349200 6.15233200 -3.42707000 -3.72714900 -2.99680000 -2.00652800 5.09463100 0.37899700 0.54938900

SC

1.32088500 -1.56116100 -1.19573800 1.91624100 1.90398200 -2.58888800 -1.32257000 -2.21840900 -0.67271600 3.05437800 1.48240300 3.03235100 1.47906600 -2.94085900 -3.14014000 -2.47274300 3.64320000 3.47016700 3.45344600 -3.99579800 4.88175700 -4.93450800 -4.11531400 5.87284200 5.13723700 -5.92179400 -4.83058700 -5.09639200 -3.39847100 7.05962000 5.72256100 6.31326500 4.15013700 -6.00385800 -6.64250600 -5.83896500 -5.12957300 7.27343100 7.78691300 6.51738500 4.29544500 -7.02526600 -6.84385300 -5.82051500

EP

TE D

M AN U

-8.04095800 -7.53745900 -9.45501700 -7.49910500 -9.19811500 -8.23557500 -6.52351100 -10.14623900 -9.93555500 -8.09439800 -6.62038700 -9.79367400 -9.62713100 -9.55815900 -7.73246800 -11.14895200 -9.25531800 -7.66673900 -10.68138000 -10.28809800 -9.82818700 -11.17762400 -10.10761100 -8.97309900 -11.23105900 -11.82685200 -11.34977400 -10.74662200 -9.46042200 -9.43924200 -7.90004300 -11.72039800 -12.08401400 -11.61135400 -12.49961000 -12.13887500 -10.57143700 -10.82619900 -8.72815000 -12.78156600 -13.52087100 -12.31381000 -11.72283400 -13.18822900

AC C

C C C C C C H C H C H C H C H H C H H C C C C C C C O C H C H C O C H C H C H H C O H H

S16

ACCEPTED MANUSCRIPT

RI PT

-0.83382700 -3.98567800 -1.47075600 -3.07184400 -1.58475200 6.53225900 -4.54023100 7.07013400 6.80985600 6.78783100 -4.91688600 -3.76871200 -5.36551500 -0.49112100 0.24051000 -1.53104100 0.02406700 0.90800100 -0.89292200 0.62102900 -1.16912800 -0.48744200 0.13447700 2.47763000 -2.24782600 -0.81815800 0.96888800 -1.08510500 3.16466000 3.20968200 -1.73796200 -0.41215700 0.59774400 1.91491700 -1.45782300 -1.74803300 4.53710700 2.63200000 4.58317300 2.71050200 -2.25069300 -0.61737500 1.25175500 -2.39702500

SC

-5.57289600 8.40445800 5.17391400 4.37128200 3.38706300 -7.17719400 9.44308700 -6.27951700 -8.02777800 -7.38920000 10.20874500 9.87565600 9.05510100 -0.59287300 0.21731700 -1.77308500 -0.04618000 0.97527200 -1.08076700 0.60440400 -1.41683000 -0.66110500 2.38849400 0.35257200 -2.65897000 -1.06526400 3.46402800 2.69264000 1.02538800 -0.54697600 -2.10978100 -0.63002500 4.79794600 3.26444400 4.02643000 1.88930000 0.80777400 1.72676700 -0.76544000 -1.07714600 -2.71698500 5.08249400 5.60854600 4.23827000

EP

TE D

M AN U

-12.07729500 -11.43045600 -13.90664700 -13.77857900 -13.95612000 -12.14252800 -10.57465100 -12.47814800 -12.76851400 -11.09489900 -11.25607600 -9.92234900 -9.96130600 9.43336300 10.30510400 10.38347600 11.68722800 9.91562300 11.90776900 13.37239400 13.28539100 14.25783000 13.76221300 13.62256500 13.98742300 15.57862800 13.36683600 14.41529400 14.66352600 12.80895300 15.64160000 16.48553200 13.61556600 12.86652300 14.66882600 14.72957100 14.88424200 15.30324400 13.02600000 12.00052400 16.85932600 14.26840100 13.30246800 15.17461300

AC C

H O H H H C C H H H H H H C C S C H C Si C C C C S C C C C C C H C H C H C H C H C C H H

S17

ACCEPTED MANUSCRIPT -0.08901800 1.33383800 -1.45811000 -2.38787600 -3.74870600 6.11338400 -0.25784600 -4.13791600

5.25006300 5.04547200 5.12765500 -1.94923900 -3.15427400 -0.90498000 6.31126600 -3.48014800

RI PT

14.06538600 15.68904100 12.38838200 18.02532600 16.59930300 14.46275700 14.23448600 17.44134700

AC C

EP

TE D

M AN U

SC

C H H O O H H H

S18

ACCEPTED MANUSCRIPT F103

RI PT

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SC

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TE D

M AN U

-3.16874700 -2.59861100 -2.45149500 -1.23532700 -3.35153800 -1.06362700 -3.05416100 0.31043200 -1.11066500 -2.43508100 -4.42834400 -0.77776000 -2.02357000 -4.11561800 1.85410400 1.68325300 0.10475500 -2.63219600 0.51498100 -2.09527100 1.72499900 3.21085100 3.06266200 1.39072600 0.01032000 0.59868300 3.05304700 3.97047900 3.79131400 3.66651800 2.63737700 -0.08413100 0.00674300 0.66382100 0.61623100 3.24986600 5.05012600 5.21092400 4.72957200 2.70858800 -0.18017700 -0.07305700

EP

AC C

C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H C O

S19

ACCEPTED MANUSCRIPT

RI PT

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SC

-4.23393000 -1.89146100 3.90404300 1.56468700 5.67682400 4.99725400 -5.58768900 -7.03631900 -6.66517000 -3.95075300 -1.42042900 5.26473200 3.60909700 1.07712200 6.73363100 6.39192700 -6.34290200 -7.27472500 -7.10357000 -6.62171200 -1.82164800 -1.68726200 -0.33439700 6.01355400 1.42375400 -0.01088200 1.38834800 6.89053500 6.93718800 6.36205300 -0.35335600 -0.29312700 0.61940700 -1.07344000 0.70106300 1.43567200 -0.99128700 -1.76928800 -0.13677200 1.59068400 2.34764900 -1.64031700 0.09352800 -0.98555100

TE D

M AN U

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EP

AC C

C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H N C

S20

ACCEPTED MANUSCRIPT

RI PT

-0.49750800 1.68717300 0.18660100 -1.60401100 0.06208400 2.25174900 2.04837200 0.76431600 -0.62494100 -2.12247100 -2.06193900 -0.47366000 0.92271500 1.81656100 3.03335900 0.38633000 -1.57587500 -2.99108300 -0.02592500 2.48985100 -2.12192100 1.79972500 3.88151700 -2.55527300 -2.25157900 2.48008900 0.41705700 4.58620400 4.44110200 -3.09670200 -2.44198700 -2.78789000 -1.83723000 3.87152600 1.96826300 -0.35733000 5.65931100 -3.21051600 -3.40396000 -2.89639800 -2.05836000 4.43867100 -0.23398600 -0.07601200

SC

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EP

TE D

M AN U

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AC C

C C C C C C H C H C H C H C H H C H H C C C C C C C O C H C H C O C H C H C H H C O H H

S21

ACCEPTED MANUSCRIPT

RI PT

-1.39668800 -3.72327100 -1.48531100 -3.12513000 -1.70355000 5.87279900 -4.18177300 6.44036600 6.08260800 6.15960600 -4.53960100 -3.36090700 -5.00331400 0.01976500 -1.05824900 0.82752400 -0.34057600 0.62395200 1.53796600 1.16205700 -0.74843900 -0.29002900 -1.74224500 -1.99445000

SC

-5.72476800 8.44484400 5.01948500 4.31401200 3.24163200 -7.69978500 9.53468800 -6.83607200 -8.57383900 -7.90633600 10.30508900 9.93560400 9.21089600 -0.08708500 -1.15306300 0.70362900 -0.45439700 0.49619100 1.40499700 1.02173400 -0.86236200 -0.41640000 -1.84022800 -2.09290100

M AN U

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AC C

EP

TE D

H O H H H C C H H H H H H C S C C C H H C O O H

S22

ACCEPTED MANUSCRIPT F104

EP

TE D

M AN U

SC

RI PT

-4.26224900 -0.01030700 -0.01894400 -3.65708000 -0.91483000 -0.92230900 -3.57829300 0.85851100 0.86231300 -2.28650400 -1.11362800 -1.07163300 -4.37625200 -1.76967700 -1.85365600 -2.19440100 0.98751500 0.95929900 -4.21651500 1.74321800 1.82431000 -0.77871300 -0.09900700 -0.08462300 -2.12424200 -2.07210300 -2.06888800 -3.43223800 -2.48500200 -2.55448000 -5.45091300 -1.81834400 -1.94721100 -1.94541200 1.93039500 1.95277200 -3.21113700 2.40554500 2.49102500 -5.28286500 1.84338200 1.96111800 0.72707800 0.89783100 0.91999500 0.63574100 -1.17028100 -1.14723800 -0.88972300 -2.56580300 -2.55343800 -3.60062200 -3.21803700 -3.33020400 -0.66908400 2.35924700 2.39036400 -3.31201100 3.14055400 3.27653000 0.56018700 1.88070600 1.90249300 2.09111000 0.72892700 0.75116600 2.01179200 -1.06661500 -1.03268800 0.38057700 -2.14627200 -2.11737800 -0.94295700 -3.62168300 -3.62181500 -0.62617200 3.40702700 3.46714700 1.87129800 2.33131700 2.35017900 2.81636900 1.62522000 1.64348400 2.70692300 -0.18452400 -0.15485100 2.65119100 -1.99862200 -1.94931100 1.64710600 -2.66218200 -2.61588600 -1.01249000 -4.99294000 -3.28358700 -0.93131700 -3.27363400 -4.99204600 -0.57784000 3.04522300 4.83304000 -0.63184600 4.78317200 3.14277300 2.03912000 3.08741700 3.10365600 3.89374900 1.69565800 1.71169300 4.12820900 -0.20496600 -0.17064800 3.71913300 -2.12041700 -2.05911000 1.74748400 -3.42788700 -3.37168000 -1.06921300 -5.99420400 -4.27869300 -1.01862300 -5.26404800 -1.91669000

AC C

C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H C O

S23

ACCEPTED MANUSCRIPT

RI PT

-6.00221800 -5.25400400 5.85213200 5.08133100 4.14694700 1.77926400 -5.62918300 -4.01408400 -1.46776600 -7.05190500 -6.63659800 5.49267000 6.89835800 6.45729200 3.89313200 1.34641500 -6.40097700 -1.80965400 -1.81386800 -0.37767200 -7.17346300 -7.16464800 -6.57544900 6.27134300 7.03894300 6.38494600 6.94595700 1.66281100 1.72967400 0.25644500 -0.13872500 -0.04340800 0.88537900 -0.80307000 1.00267200 1.68632300 -0.68745000 -1.50985400 0.18430900 1.90324200 2.62760700 -1.32284400 0.00571100 0.60315200

SC

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TE D

M AN U

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EP

AC C

C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H N C

S24

ACCEPTED MANUSCRIPT

RI PT

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SC

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EP

TE D

M AN U

-6.36990000 -5.83838500 -7.69553300 -5.80347700 -7.57985200 -6.51691700 -4.85479300 -8.36807100 -8.15892600 -6.42616700 -4.88370200 -8.20143300 -8.02929200 -7.80068000 -6.02778900 -9.33909200 -7.63893500 -5.97726400 -9.12886200 -8.51685000 -8.24117900 -9.33348600 -8.39826300 -7.40997100 -9.64866400 -9.97434700 -9.44325500 -9.02942300 -7.80910700 -7.90288500 -6.33607100 -10.16453600 -10.47702100 -9.82238400 -10.59274700 -10.15360000 -8.90393700 -9.29335600 -7.20980000 -11.22912300 -11.91011100 -10.50992500 -9.70273600 -11.21741200

AC C

C C C C C C H C H C H C H C H H C H H C C C C C C C O C H C H C O C H C H C H H C O H H

S25

ACCEPTED MANUSCRIPT

RI PT

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SC

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EP

TE D

M AN U

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AC C

H O H H H C C H H H H H H C S C C C H C H C S C H C H C O O H

S26

ACCEPTED MANUSCRIPT F105

RI PT

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SC

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EP

TE D

M AN U

-3.85997500 -3.32333800 -3.11161600 -1.96783500 -4.10811400 -1.72108100 -3.67991600 -0.38727600 -1.87902900 -3.21853000 -5.18638400 -1.40012400 -2.62610800 -4.73590900 1.19136300 0.94527600 -0.68274200 -3.44314100 -0.09291200 -2.66985700 1.09826600 2.54055400 2.32722700 0.61754300 -0.81587200 0.02946300 2.44134500 3.33200200 3.08727300 2.89672600 1.84435800 -0.92967100 -0.83790900 0.11415900 0.06492400 2.66558700 4.41304300 4.50470400 3.95447400 1.88763400 -1.06260000 -0.89850700

AC C

C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H C O

S27

ACCEPTED MANUSCRIPT

RI PT

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SC

-4.25926200 -1.92147500 3.85204600 1.51495900 5.62548800 4.94881500 -5.61145200 -7.06011600 -6.69247300 -3.97496900 -1.44915200 5.21227100 3.55621500 1.02604400 6.68190400 6.34307900 -6.36434700 -7.31852900 -7.11119900 -6.65053300 -1.86571900 -1.69802800 -0.36493600 5.95981700 1.38766500 -0.06132100 1.32075000 6.82486000 6.90369500 6.31441100 -0.50496100 -0.47167100 0.42940700 -1.26959500 0.48229100 1.26034600 -1.21552100 -1.95780500 -0.37282900 1.36375300 2.15004200 -1.87682800 0.13860200 -0.93041100

TE D

M AN U

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EP

AC C

C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H N C

S28

ACCEPTED MANUSCRIPT

RI PT

-0.44090800 1.73246900 0.25869600 -1.55292400 0.13606100 2.30588600 2.07974200 0.84501200 -0.54577400 -2.05988000 -2.02415000 -0.38843500 1.00117100 1.88839100 3.08025500 0.48074600 -1.49607000 -2.93293400 0.07238400 2.57043200 -2.03099700 1.89032000 3.96025900 -2.47125000 -2.14330600 2.57821900 0.50933400 4.67240900 4.51244600 -3.00336100 -2.37121200 -2.67013000 -1.72219100 3.96747100 2.07398700 -0.25653900 5.74372700 -3.10020700 -3.31667800 -2.76561200 -1.92724100 4.54274100 -0.13831300 0.03716700

SC

1.30468600 -1.69878400 -1.27911200 1.97304600 1.84006900 -2.76882200 -1.46371900 -2.34478200 -0.71758800 3.13637200 1.57638600 2.99456300 1.35736800 -3.11644800 -3.35542800 -2.59383300 3.67911600 3.61001400 3.37856700 -4.21759400 4.94641000 -5.13241800 -4.40643500 5.97622200 5.19387100 -6.16269900 -4.95979900 -5.43199000 -3.70946500 7.19350300 5.83120700 6.39951600 4.16957100 -6.31341000 -6.86592300 -5.93954700 -5.51773800 7.39831000 7.94987600 6.59835000 4.31391800 -7.37231200 -6.94705000 -5.94697700

EP

TE D

M AN U

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AC C

C C C C C C H C H C H C H C H H C H H C C C C C C C O C H C H C O C H C H C H H C O H H

S29

ACCEPTED MANUSCRIPT

RI PT

-1.29694700 -3.60233700 -1.34736400 -2.99111000 -1.57032600 5.97503100 -4.06773100 6.54826100 6.19189400 6.24818400 -4.41535700 -3.25297700 -4.89778100 -0.25053300 0.53962900 -1.36782500 1.25431400 0.29216200 -0.68634200 0.98172500 -0.92636700 -0.12329200 -1.63845100 -0.08226500 0.65317300 -0.98675200 -0.92815300

SC

-5.62045900 8.55602400 5.15504900 4.45190800 3.37805800 -7.59607200 9.63613800 -6.72858800 -8.46279800 -7.81556600 10.41638600 10.02670500 9.30631000 -0.34913900 0.42699400 -1.45972500 1.13610800 0.17400200 -0.79514300 0.84682100 -1.04072500 -0.25142200 -1.74737100 -0.21937400 0.50421000 -1.11744600 -1.06508800

TE D

M AN U

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AC C

EP

H O H H H C C H H H H H H C C S H C C S C C H C O O H

S30

ACCEPTED MANUSCRIPT FSQ101

RI PT

0.08390600 0.06636700 0.08915400 0.05299400 0.06003800 0.07967200 0.10551900 0.05520900 0.03850100 0.04265600 0.06795900 0.08993100 0.10589200 0.11509100 0.05742500 0.03090900 0.02274800 0.03386500 0.08605500 0.11600600 0.07125200 0.04621200 0.02314100 0.01960700 0.00922100 0.09899400 0.06828800 0.05300400 0.03023500 0.00659100 0.00435800 -1.21012200 1.21557700 -1.10755200 1.31808600 0.07688600 0.04694500 0.02095300 -0.00188400 -0.00636200 -1.23330900 -2.35817400

SC

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EP

TE D

M AN U

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AC C

C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H C O

S31

ACCEPTED MANUSCRIPT

RI PT

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SC

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TE D

M AN U

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EP

AC C

C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H C C

S32

ACCEPTED MANUSCRIPT

RI PT

0.12886000 0.13208300 0.16000900 0.14430600 0.13147200 0.17527500 0.18086200 0.15168800 0.17549000 0.24263400 0.19943200 0.38091000 -1.05736700 1.10951600 0.15632200 -0.75454600 1.37139900 -1.85668000 -1.61521200 -0.79344400 0.87979000 -0.63857400 -1.09326800 -0.38285300 -2.40788500 -2.58314200 0.82737800 1.48901200 -0.67380900 -1.25937400 0.06231900 1.39716200 -1.29933400 0.03712000 0.73507800 -0.96102300 0.32519400 -0.01281900 -0.03431900 -0.00499200 -0.03121900 -0.01526600 0.00766200 -0.04059900

SC

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EP

TE D

M AN U

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AC C

C C C C H C H C H C N C C H C C H C H H C C H H H H C H C H C H H C H H H C S C C C H C

S33

ACCEPTED MANUSCRIPT -0.01358100 -0.03066900 -0.06098000 -1.13092200 1.12144200 -0.03871700 -0.05538200 -0.03305700 -0.06649700 -0.08309100 -0.06112700 -0.09126300 -0.09262600 -0.08444800 -0.10782700 -0.10033700 -0.11288800

RI PT

-2.15467400 -1.10812100 1.47487700 -3.04197600 -3.01804700 -1.09185600 0.21020600 -1.97413000 0.50108700 1.70475500 -0.37777800 1.64154900 2.98364100 0.59501200 2.89712200 4.03657400 2.82369200

SC

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AC C

EP

TE D

M AN U

C C S F F C C H C C H C C O O N H

S34

ACCEPTED MANUSCRIPT FSQ102

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RI PT

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EP

TE D

M AN U

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AC C

N C C C C H C H C H H C C C C H C H C H H C C C C C H C H O O O O C H H C H H C H H

S35

ACCEPTED MANUSCRIPT

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SC

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TE D

M AN U

11.30857600 10.73575000 10.66259300 12.16137200 8.32983200 7.39218600 6.16582700 4.73986700 4.07833200 4.08872100 2.70285200 4.75050400 2.71439700 4.77661600 1.24566700 2.48899000 3.77062300 5.82248000 2.51432600 3.80392600 5.85143900 -0.21033400 -0.22376400 1.22886900 3.89934300 1.25953700 3.94105000 0.00672800 -1.58072000 -1.59209000 -0.01822900 1.22523600 1.26929400 -1.28028800 -2.26069500 -2.24305500 -2.27881600 -1.30930500 1.23022800 1.21681100 1.27522300 1.27052500 -1.41009300 -3.33379300

EP

AC C

C H H H H C C C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H

S36

ACCEPTED MANUSCRIPT

RI PT

-0.34045700 -0.55368400 0.37836800 1.74695300 -2.05493900 -2.96390300 1.89208600 2.79790400 -0.54095500 -1.91200700 -0.91035300 1.24782600 2.96967600 -3.04051700 -4.32478900 0.74850400 2.87829800 4.15944800 -1.40962600 -3.13365400 -1.02405100 3.04111700 3.03378800 3.78028800 -4.51485500 -4.52945400 -4.96505900 0.86358300 4.36316300 4.79850700 4.35210500 -3.19138400 -3.20996500 -3.94512100 4.79859900 -4.22785700 -0.05571500 -0.03943800 -0.01039600 0.13748200 -0.11631600 0.17243800 0.25078000 -0.08315000

SC

3.04430900 4.95460500 7.61743400 5.55773800 7.36140400 5.06154000 -6.57010000 -4.26894100 -6.82921500 -4.77106500 8.17425200 8.26532000 6.34880100 7.81330900 5.58004500 -7.38438400 -7.02068100 -4.78554600 -7.47817100 -5.56351000 9.25566200 6.97403600 6.98060500 5.61786500 6.17761500 6.18363200 4.69605200 -8.46566600 -5.38467500 -3.90068200 -5.38692100 -6.19253700 -6.19156100 -4.83354000 4.49839900 -5.72269700 0.35551400 0.26810100 0.08159800 -1.25573600 1.12580400 -1.47698800 -2.36205100 0.90847200

TE D

M AN U

-3.35189900 -1.44880200 1.22617700 1.23890700 1.21264200 1.21276700 1.28156800 1.27390000 1.27696300 1.26434800 1.21727500 1.22920100 1.24107400 1.20535200 1.20006500 1.28214200 1.28453000 1.26645600 1.27646200 1.25238900 1.21351800 0.34043300 2.13772900 1.24698300 0.29786500 2.09509600 1.19776900 1.28575300 2.16473900 1.26140000 0.36736400 0.35342100 2.15076300 1.24358500 16.56433500 15.87768100 -3.66055900 -4.88986500 -6.28542700 -6.83989500 -7.21568200 -8.30102200 -6.08583700 -8.61678400

EP

AC C

H H C O C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H H H C C C C C C N C

S37

ACCEPTED MANUSCRIPT

RI PT

-0.22785600 0.05707200 0.31458000 0.40747300 -0.17255200 0.08585000 -0.07994400 0.22784800 0.05490600 0.20945600 0.33704100 0.05260300 0.31902800 0.20695500 -0.08930900 1.54144200 -0.69533700 0.21855900 0.07158300 0.32784200 0.05103000 -0.08292200 0.15985400 -0.06079000 -0.23859800 0.06784700 -0.20101200 -0.36694700 -0.18229400

SC

2.14082900 -0.35276600 -2.76606900 -3.73736600 1.78572100 -0.53514500 0.92540500 -1.71583200 -0.15751300 -1.49163600 -2.67476900 -0.06008400 -2.34950600 -1.33999500 1.20830500 -3.08754500 -3.35352700 -1.36153200 -0.08345600 -2.25440000 0.16788200 1.34462000 -0.72202100 1.24294700 2.63136200 0.18602300 2.47430100 3.69107500 2.37627800

TE D

M AN U

-6.84676000 -9.21764200 -8.66633700 -7.18750900 -9.25334700 -10.65422300 -11.77220100 -11.39690700 -13.17277700 -12.78810600 -10.90795900 -14.60803400 -14.03829600 -15.16652100 -15.83369400 -14.08759900 -14.10235100 -16.56671800 -17.14414000 -17.17247500 -18.54330000 -19.25833000 -19.16623100 -20.73483600 -18.65446800 -21.38405900 -21.35180500 -18.14121800 -22.33042800

AC C

EP

H C N S H C S C C C H C C C S F F C C H C C H C C O O N H

S38

ACCEPTED MANUSCRIPT FSQ103

RI PT

0.10955600 0.13245700 0.15831500 1.21925300 -0.87845800 1.41718200 2.26298700 -1.02957000 -1.94420200 0.21735200 2.56416100 3.09317900 2.33587700 -2.16756900 -2.73954900 -2.05362900 -0.98023400 1.46400300 3.13202000 3.97380900 -2.69410600 -3.62318300 -2.14015600 -0.79777100 1.32254300 2.61722600 4.38772100 -3.94889300 -2.68745900 -1.86368600 0.27279900 2.40953300 3.20584700 5.66013300 4.33016500 -3.88935400 -5.22220200 -3.58206800 -1.95905800 0.27666700 2.53661300 4.10471800

SC

0.02045800 0.02817000 0.04126800 0.75274000 -0.65619500 0.86485000 1.47917000 -0.73547700 -1.40115000 0.08296500 1.63774000 2.02078900 1.57363200 -1.50463400 -1.92081900 -1.52206000 -0.70061900 0.90581500 2.00539900 2.62700000 -1.84067000 -2.53264100 -1.46347000 -0.57213100 0.81513600 1.66206400 2.83097100 -2.66780200 -1.81278000 -1.26577900 0.13147500 1.52742700 2.04799700 2.21472200 4.24349800 -4.08001200 -2.05327400 -2.39801200 -1.32063700 0.14178500 1.61179100 2.63704300

TE D

M AN U

5.00715600 3.77696800 2.34860600 1.71685500 1.66529700 0.34649900 2.41965500 0.28630900 2.31415400 -1.14730800 0.16586000 1.46381200 3.49320000 0.04800300 1.31747500 3.38200500 -2.63979000 -2.58012400 -1.07658000 1.61885700 -1.22211900 1.42676200 -2.45841600 -4.00536400 -3.95352200 -2.34022100 -1.04201600 -1.24978100 -3.76200300 -4.71768400 -4.63555100 -4.60768300 -3.61378000 -1.02201900 -1.02686700 -1.27517600 -1.25299900 -3.91832100 -5.79384600 -6.05421300 -5.67730000 -3.72530000

EP

AC C

C C C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H

S39

ACCEPTED MANUSCRIPT

RI PT

6.84689800 5.64134300 5.50546700 3.04478600 -5.06376800 -2.60301200 -6.40812200 -5.20506600 6.75181700 7.82061800 6.90332300 5.45690200 2.88143300 -6.31114100 -5.01376600 -2.43783700 -7.38262000 -6.46803700 7.66088100 7.51365300 7.47277700 6.62345200 3.34297500 3.30578600 1.80249600 -7.21955300 -2.89176700 -1.35855400 -2.86876200 -7.04059300 -7.07467600 -6.18951400 0.22081900 0.07803000 -1.04525000 0.96756300 -1.21924400 -1.98544300 0.79720800 1.82087700 -0.26183800 -2.30401800 -3.13586600 1.54349700

SC

2.98010500 0.82112200 5.02651700 4.78207500 -4.86451100 -4.61669300 -2.82010600 -0.65980700 4.38064300 2.50328200 0.09433200 6.10971000 6.22925100 -4.22034800 -5.94751800 -6.06341900 -2.34463700 0.06535500 4.97665200 0.33214700 0.30960500 -0.96050900 6.69465500 6.66497500 6.39313100 -4.81750000 -6.53544000 -6.22592700 -6.49340600 -0.14642700 -0.17738500 1.12048300 0.11350400 0.03167800 -0.69169200 0.61577300 -0.79062800 -1.30845000 0.51725500 1.16558600 -0.16292700 -1.49003100 -2.04448200 1.00642900

EP

TE D

M AN U

-0.98767800 -1.03896200 -0.99265500 -1.04793100 -1.30463500 -1.26808500 -1.28251600 -1.22545600 -0.97340600 -0.97209700 -1.01934700 -0.98121200 -1.02751600 -1.30823600 -1.32431600 -1.29966600 -1.28611500 -1.23661300 -0.94684100 -1.90142900 -0.10473700 -1.03898300 -1.90926400 -0.11257500 -1.04714900 -1.33143100 -0.41747500 -1.28964500 -2.21423700 -2.15004900 -0.35327400 -1.21321600 -7.28472000 -8.68421700 -9.26031100 -9.59657800 -10.72454200 -8.52458700 -11.00195600 -9.21133600 -11.62299300 -11.11086000 -9.64874200 -11.62365200

AC C

C O C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H

S40

ACCEPTED MANUSCRIPT

RI PT

0.08096600 1.29922500 -1.16647900 1.26382500 2.57267200 -1.19021100 -2.41188000 0.02220900 2.49863200 3.74274000 2.60164600 -2.45326100 -2.39642900 -3.61039800 -0.00823600 3.70276400 2.46994200 4.69759700 -3.62888700 -2.46882200 -4.54332900 -0.54589200 0.50170200 4.62606400 -4.57413900 -0.42135400 -1.24028300 0.40818700 1.13889000 -0.98165700 0.12083500 -1.78126300 -1.36309400 0.94393800 -0.09054500 1.65489800 1.23747800 -1.67426100 -0.84577900 -2.30438000 1.57964900 0.83301600 2.13369400 -2.29992600

SC

0.01526900 0.12404700 -0.09661300 0.14736800 0.22283600 -0.12150400 -0.19515700 0.01357900 0.32548000 0.37194200 0.16791100 -0.30081200 -0.13909900 -0.34589000 0.01674200 0.43657300 0.36779000 0.44284600 -0.41203100 -0.34440300 -0.41700000 1.16099200 -1.12281500 0.57066400 -0.54745700 2.44608400 1.04085700 -2.41061700 -0.99543100 3.56554300 2.56868900 2.16860800 0.06341900 -3.52538600 -2.53873900 -2.11867200 -0.01597700 3.46051900 4.54369500 2.04725000 -3.41300600 -4.50572400 -1.99167600 4.66597700

TE D

M AN U

6.43289500 7.17431300 7.12359900 8.62216600 6.51755900 8.57165600 6.41510500 9.30277600 9.33891100 7.23985400 5.43390300 9.23711700 5.33126200 7.08873300 10.74536500 8.67037000 10.42134700 6.72486800 8.51964900 10.31978200 6.53506400 11.41853300 11.44704600 9.22816700 9.03905700 10.84411100 12.64646200 10.87268300 12.70498400 11.47536400 9.91138400 13.27719800 13.10293800 11.53294400 9.91672300 13.36400400 13.16294500 12.70564700 11.02003600 14.21883300 12.79295300 11.07551700 14.32822500 13.31826900

EP

AC C

C C C C C C C C C C H C H C N C H H C H H C C H H C C C C C H C H C H C H C H H C H H C

S41

ACCEPTED MANUSCRIPT

RI PT

-2.90231800 -2.32133600 -3.49893400 -2.92891000 -2.91019000 -3.49883600 -3.95369100 -2.92926200 2.18432000 2.14464000 2.83007200 2.71921100 3.41275700 2.90338100 3.35300800 2.69338500 3.90317300 -0.40323500 0.85091400 -1.40097000 -0.05813800 -1.19755100 -2.22138500 0.03849700 -1.91766700 -1.04650400 1.13103800 -2.06219800 -3.25832000 -1.05194400 0.04262200 -1.80719100 0.27004200 1.28054400 -0.48354500 1.20757500 2.37297600 0.31142600 2.26411100 3.27219000 2.19000600 -4.05852600 3.89364500 1.48980500

SC

5.64133800 4.91522400 6.81239600 5.46703300 6.07520300 7.02286500 7.52042500 6.27978500 -4.61276800 -4.85730800 -5.58612800 -6.01043100 -6.75073000 -5.41513200 -6.95618500 -6.21098400 -7.45747800 -0.24225600 0.55696800 -0.86692200 -0.00565000 -0.72721700 -1.38967000 0.06547400 -1.16963200 -0.61363300 0.76104000 -2.58857800 -0.67985400 -0.60706100 0.08530700 -1.07791500 0.23737300 0.87505100 -0.23044100 0.83909800 1.55495700 0.28270700 1.50420900 2.11451000 1.46416400 8.13320100 -8.05923800 -3.90262000

EP

TE D

M AN U

12.49768900 14.72500600 13.00108100 11.42527300 15.25115100 14.39079400 12.31683700 16.31523300 13.43705900 14.84424800 12.64767600 15.40046100 13.18147300 11.57692700 14.57064400 16.46516500 12.52092600 -13.06283000 -14.15734200 -13.82372100 -15.57465400 -15.21147200 -13.35030200 -17.00884600 -16.47493900 -17.58701400 -18.21447500 -16.55310500 -16.53781700 -18.98767500 -19.54453700 -19.60736400 -20.94013000 -21.63660100 -21.57658000 -23.11497200 -21.01280400 -23.77984700 -23.71261100 -20.48260400 -24.69271200 15.02997300 15.23827100 15.62826300

AC C

C C C H C C H H C C C C C H C H H C S C C C H C C C S F F C C H C C H C C O O N H O O O

S42

ACCEPTED MANUSCRIPT -1.71042500 1.30870000 2.27347000 0.74826300 0.73316200 4.56954900 5.43847000 3.88442500 4.90198200 -4.69015000 -5.53952600 -3.97014200 -5.04611700 -1.58935800 -2.57558500 -1.02682800 -1.03998900

RI PT

3.95797600 -4.15833900 -4.20962100 -5.08819300 -3.30808100 -9.08118600 -8.66568100 -9.54434900 -9.82920400 9.15790100 8.74833300 9.61137600 9.91226600 4.21828700 4.28237000 5.14292400 3.36368500

SC

15.54077900 17.05014800 17.57363300 17.21790400 17.42204500 14.45171600 13.92256700 13.72805100 15.17438200 14.21090500 13.64656000 13.51549300 14.91554500 16.96822800 17.44855300 17.15656000 17.36864400

AC C

EP

TE D

M AN U

O C H H H C H H H C H H H C H H H

S43

ACCEPTED MANUSCRIPT FSQ104

SC

RI PT

0.42216300 -0.25673900 0.50169800 -0.26958100 0.50798800 -0.25252800 1.69059100 -0.67272200 -0.68548300 0.18956000 1.86597700 -0.71795900 2.90379500 -1.12089600 -0.88484600 0.28050600 -1.88625300 0.61501700 0.47605300 -0.19467400 3.16075900 -1.18299200 3.80974100 -1.43582500 3.03538100 -1.18170700 -2.18269800 0.75250600 -2.80793800 0.96163400 -1.99230400 0.63917200 -0.91223300 0.32590400 1.83932400 -0.66956500 3.76158800 -1.38096800 4.81900400 -1.80299500 -2.80610400 0.99314400 -3.81494200 1.32467500 -2.21207600 0.79294100 -0.74279100 0.27900500 1.64243600 -0.57931300 3.14396600 -1.14049300 5.17679700 -1.88728900 -4.22027900 1.50197900 -2.86061400 1.04096300 -1.95953900 0.72500700 0.44390700 -0.14097300 2.84681800 -1.00091100 3.77011900 -1.34580900 6.26881200 -0.98969900 5.45342600 -3.27288700 -4.49358100 2.88835900 -5.31414600 0.60654100 -3.87008100 1.40736900 -2.09507000 0.78378900 0.41065700 -0.11455200 2.96044100 -1.02533600 4.77809200 -1.70522000

TE D

M AN U

6.00361400 4.77777600 3.35116600 2.67861400 2.71285700 1.30159800 3.33864400 1.34097100 3.41365400 -0.14129200 1.07438000 2.34971000 4.40924200 1.15428700 2.45068100 4.48961500 -1.58281200 -1.62452500 -0.19137200 2.46790200 -0.09342300 2.59774500 -1.35251500 -2.95511900 -2.99096600 -1.43237500 -0.20952400 -0.06919200 -2.63268100 -3.62249800 -3.62922800 -3.68982800 -2.72971200 -0.17676800 -0.25829100 -0.02708300 -0.09063600 -2.75163900 -4.69414400 -5.04685900 -4.76400100 -2.87905900

EP

AC C

C C C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H

S44

ACCEPTED MANUSCRIPT

RI PT

-1.45439400 0.35934200 -3.75754500 -4.09846000 3.37605200 3.71129500 1.07418900 -0.74353300 -2.83726800 -0.76254000 1.36246700 -4.82122700 -5.54211400 2.45787500 4.44045100 5.15611300 0.38402500 -1.74400700 -3.20236100 1.31803800 1.24532300 2.32071900 -5.83876400 -5.91184600 -5.95565200 2.82529600 5.46970600 5.56735700 5.51182900 -1.62471500 -1.69879700 -2.70351200 -0.06993100 0.00952800 0.46466500 -0.33006400 0.55413100 0.82834800 -0.24293500 -0.67449600 0.18507800 0.99093900 1.30185600 -0.53127100

SC

7.60269600 5.92227000 6.78030700 4.33071300 -5.81929300 -3.36883300 -6.64695600 -4.97060100 7.84000800 8.43725100 6.97729300 6.98730200 4.51353800 -6.88108800 -6.02377800 -3.54795000 -7.48308100 -6.02785900 8.86416300 7.60481000 7.60360200 6.45608000 5.04882400 5.05234400 3.50350400 -7.90441500 -4.07939700 -2.53688300 -4.08875700 -6.65223400 -6.65689400 -5.50891000 0.31532600 0.11794900 -1.15877200 1.09251500 -1.39267700 -2.19499500 0.86328100 2.06087500 -0.34263500 -2.62065600 -3.51669000 1.68424400

EP

TE D

M AN U

-0.19364700 -0.12823700 -0.27569100 -0.28642300 -0.00647100 -0.00916100 -0.07035700 -0.13265200 -0.24314900 -0.16965300 -0.08713100 -0.31309500 -0.34522200 -0.02863200 0.02392600 0.02577400 -0.08768500 -0.17610200 -0.25663400 -0.98791900 0.80795700 -0.04875900 -1.25771100 0.53805800 -0.36006100 -0.01420100 0.93490500 0.03015000 -0.86196400 -1.07220700 0.72367900 -0.21428400 -6.27470000 -7.66721500 -8.19685500 -8.61628000 -9.65353300 -7.42265200 -10.01361300 -8.26629500 -10.59096100 -9.99492500 -8.49883200 -10.66604100

AC C

C O C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H

S45

ACCEPTED MANUSCRIPT

RI PT

-0.22839400 -0.65444900 0.22406600 -0.64420300 0.25932600 -0.16699500 -0.12945600 -0.72257100 0.56030000 -1.92173000 -0.12955800 1.72723200 0.07995800 -2.50146900 -2.40343600 -0.71889800 0.79642000 2.39135700 2.11635000 0.74997300 -0.83325200 -1.91587200 -3.43658300 -0.22635300 1.92565400 3.29741600 0.33660600 -1.01429500 0.61984600 -2.53774100 -3.53728300 -2.03345700 -3.92381900 -3.98431800 -3.23462500 -4.69161700 2.61298100 2.49046800 3.81543000 3.31271400 1.84484300 4.09291900 3.32661900 -3.36261700

SC

0.29965700 1.36242700 -0.90236200 1.24854600 -1.00708000 0.05372700 -0.08994900 -1.24450800 0.88515300 -1.78732400 -1.88176000 1.50942300 1.26310500 -2.92441900 -1.30207200 -3.01745200 -1.49314200 2.48142500 1.22833800 2.22978600 0.81708700 -3.57309000 -3.29528700 -3.49172900 2.86458100 2.93135500 2.52081200 2.26742300 -1.90851400 -4.76737100 -5.57172100 -5.39447700 -6.67104100 -5.40255500 -6.74815500 -7.38756900 3.87592900 4.14258500 5.02942400 5.22441100 3.56750000 5.82139800 5.54295200 -7.75088700

TE D

M AN U

7.42107500 8.25622500 8.03613700 9.65376100 9.43392800 10.26066200 11.68304500 12.28294800 12.47172800 11.76048600 13.39839700 11.97971600 13.74730600 12.33227800 10.91679400 13.96816000 13.81083100 12.73925300 11.00520400 14.50288200 14.12931900 13.45127800 11.92135400 14.81408800 14.02061700 12.33938200 15.46493700 7.77941100 9.91641200 14.03421300 13.51874300 15.67140800 14.36512100 12.54523400 15.55491100 14.09105500 14.83177600 16.18264800 14.08821800 16.66109600 16.83744200 15.69617400 17.69862000 16.66700400

EP

AC C

C C C C C C N C C C C C C C H C H C H C H C H H C H H H H C C S C H C H C C S C H C H C

S46

ACCEPTED MANUSCRIPT

RI PT

-4.14379400 -3.63477200 -2.42705900 5.06773700 4.79706800 6.08888500 5.08481300 0.25601100 -0.22676400 0.65402600 0.14059000 0.58485700 0.97207000 0.11241500 0.87592700 0.54135400 -0.30848600 2.23007700 0.10594000 0.55154300 0.12565500 0.85096800 0.04426800 -0.34832600 0.34352100 -0.31193300 -0.77986500 0.04328500 -0.72376900 -1.13508300 -0.68924600 0.62707500 -1.10189400 1.09259600 0.30823100 1.99274700 1.33239300 -1.53743600 -2.41292400 -0.72702700 -1.80758200

SC

-8.47969900 -7.27471900 -8.30294300 6.95768700 7.80691000 6.65410100 7.31322300 -0.54162600 0.82415600 -1.67661400 -0.23101800 -1.49036400 -2.57806000 -0.16683600 -2.32969400 -1.39338400 1.01319200 -2.78289900 -3.53248300 -1.44203200 -0.23994400 -2.30214800 -0.02957900 1.07318700 -0.88706800 0.94693000 2.30725400 -0.06944800 2.10331000 3.32375500 1.99077700 -1.91990900 2.23696700 -3.17836600 -3.65389100 -3.02736100 -3.81085500 3.51169200 3.38392100 4.00051100 4.11999800

EP

TE D

M AN U

16.42107600 17.61869700 16.83036800 15.82798300 15.18594700 15.55985400 16.86496400 -12.02416000 -13.16949000 -12.74428200 -14.54927900 -14.13959200 -12.23762200 -15.98645900 -15.37314600 -16.52033100 -17.23603400 -15.41736300 -15.40909700 -17.91998500 -18.52136500 -18.50876200 -19.92528600 -20.66237200 -20.53113100 -22.13689400 -20.08305000 -22.76595100 -22.77677600 -19.58970500 -23.75341100 7.16908900 10.52306500 7.74009200 8.34441200 8.35150800 6.88335000 9.97072000 9.31861100 9.41272100 10.83565700

AC C

H H H C H H H C S C C C H C C C S F F C C H C C H C C O O N H O O C H H H C H H H

S47

ACCEPTED MANUSCRIPT SM315

RI PT

0.01533000 -0.93664200 0.89764000 -1.14244300 -1.86611000 0.94816400 1.90873700 -0.18035400 -2.17342000 -2.62238600 -1.92170300 1.95981400 2.55799200 2.08797900 0.79859100 -1.32766100 -2.71810800 -3.41331300 2.36316600 3.36914000 1.81634400 0.57414600 -1.26081400 -2.31709000 -3.81338200 3.46750300 2.22915100 1.46674800 -0.38214600 -2.22921200 -2.87805700 -3.51053700 -5.17310800 4.81940400 3.18295200 2.99932800 1.49779100 -0.45094700 -2.38242000 -3.66073600 -4.52987500 -2.15230100

SC

0.03904200 -0.86091800 0.84853500 -1.11284600 -1.65471000 0.91545900 1.72848800 -0.19549700 -2.04536500 -2.38696900 -1.65470000 1.81506100 2.32612000 1.86883400 0.70361000 -1.29005200 -2.57478400 -3.08694400 2.17507000 3.03871900 1.66015100 0.48255700 -1.24763600 -2.22256700 -3.59516700 3.18693600 2.03985000 1.31756500 -0.42522200 -2.17507400 -2.77438300 -4.97143600 -3.20862400 2.78279100 4.57154600 2.76281200 1.33968300 -0.50480900 -2.33722200 -3.51827200 -5.94012100 -5.28149100

EP

TE D

M AN U

-3.16256100 -2.62984100 -2.41106300 -1.27539700 -3.41823800 -1.02035400 -2.97604800 0.30876900 -1.19045800 -2.53183600 -4.49662800 -0.69567900 -1.91998800 -4.03160700 1.89074700 1.63656300 0.00332900 -2.75957500 0.61264200 -1.96094200 1.80191600 3.23952400 3.01922800 1.30536500 -0.13357400 0.73935300 3.14668800 4.03444600 3.78211200 3.58488000 2.53007400 -0.25253800 -0.15373000 0.82827900 0.77449200 3.37400200 5.11564700 5.20089500 4.64207100 2.57031900 -0.38868500 -0.22297300

AC C

C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H C O

S48

ACCEPTED MANUSCRIPT

RI PT

-6.20714600 -5.40001800 5.86312700 5.02866700 4.21222600 1.83130900 -5.86902300 -4.29229200 -1.73802300 -7.24855100 -6.76928800 5.54297900 6.89840400 6.38615100 3.98878300 1.43921100 -6.65944800 -2.12795100 -2.06159000 -0.64762300 -7.34840200 -7.27126700 -6.68054900 6.34090300 7.01515600 6.28297200 6.84273000 1.73270200 1.87346600 0.35105100 -0.46198700 -0.41196900 0.52179600 -1.22449400 0.58784500 1.37279200 -1.14848200 -1.94638600 -0.27256000 1.50146900 2.30053400 -1.84364900 -0.24401300 0.19181500

SC

-4.16187200 -1.83800100 3.72688800 1.40503400 5.53147900 4.89936100 -5.51946600 -6.99421300 -6.66953800 -3.86005600 -1.34300900 5.09332600 3.41151600 0.89065200 6.59221800 6.30115900 -6.25895600 -7.29127300 -7.08053800 -6.64602900 -1.75277400 -1.58040900 -0.26045200 5.82607600 1.23933300 -0.19503000 1.17800700 6.77779900 6.85354300 6.29303200 -0.52753600 -0.49494000 0.39246900 -1.27301700 0.45017400 1.20294500 -1.21698000 -1.94256600 -0.39625700 1.32142500 2.08104100 -1.84107500 -0.40506700 0.71662300

TE D

M AN U

-0.28811000 -0.03511400 0.95105900 0.78313700 0.89663900 0.68234400 -0.40421800 -0.47986400 -0.37067900 -0.30381900 -0.04636800 0.98366500 1.01856700 0.89568600 0.92385000 0.71066200 -0.50848700 0.44716400 -1.33685700 -0.32753700 0.79270200 -0.99452800 0.06209000 1.07778500 0.06488700 0.84857700 1.85282900 1.65618700 -0.13411100 0.62480500 6.43103400 7.84387100 8.51898100 8.67062600 9.99733400 7.86683100 10.09404300 8.21248800 10.80752700 10.47568500 9.09128000 10.64777000 12.29182800 13.04484200

EP

AC C

C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H C C

S49

ACCEPTED MANUSCRIPT

RI PT

-0.67600300 0.16934500 0.55282800 -0.69596300 -0.96760700 -0.27810600 0.49752600 -1.02030300 -0.31561100 -0.69225400 0.12368100 0.07949600 0.09198700 0.68671000 -0.42997200 1.71206800 0.24452700 -1.53212300 0.15052000 2.27559900 2.06043500 0.82071100 -0.55412900 -2.02618900 -2.00578100 -0.36106500 1.00870000 1.85608600 3.04364300 0.45470800 -1.45883200 -2.89223700 0.10245900 2.52856200 -1.97972200 1.84077500 3.91665500 -2.40609200 -2.09212100 2.51992500 0.46135700 4.62010800 4.47458400 -2.92510900

SC

-1.55676900 0.69861900 1.59594900 -1.57939900 -2.45260100 -0.44669300 1.56512000 -2.46453700 -0.50951800 -1.48272900 0.66436000 0.57222600 0.14264300 -0.92935900 1.31683900 -1.71094600 -1.26855100 1.99738600 1.84927000 -2.78353000 -1.48389800 -2.33715100 -0.69736400 3.16875800 1.60402400 3.01218900 1.35773400 -3.12131000 -3.37988300 -2.57854100 3.70847700 3.65159000 3.39351500 -4.22535700 4.98413800 -5.13054000 -4.42683900 6.01601200 5.23805600 -6.16383800 -4.94533200 -5.45570500 -3.73734500 7.24105700

TE D

M AN U

13.00637800 14.44552900 12.52690300 14.40347200 12.46616200 15.13812600 15.00967100 14.94308100 16.61622300 17.29712200 17.22499200 18.20326900 -4.60503400 -5.34154300 -5.23376900 -4.76151100 -6.64372400 -4.66747500 -6.41068100 -5.46677200 -3.75869100 -7.34219600 -7.10709800 -5.25783700 -3.77338100 -7.00066000 -6.85886500 -6.77612300 -4.97978300 -8.33344800 -6.43755900 -4.81093800 -7.90333300 -7.51791600 -7.00445500 -8.38381000 -7.37515700 -6.14360100 -8.40633600 -9.04779300 -8.51731200 -8.02907400 -6.74716900 -6.60308600

EP

AC C

C C H C H C H H C O O H N C C C C C C C H C H C H C H C H H C H H C C C C C C C O C H C

S50

ACCEPTED MANUSCRIPT

RI PT

-2.30547300 -2.60599700 -1.68463700 3.90779300 2.00984000 -0.31289500 5.69060500 -3.02260700 -3.22822000 -2.70145200 -1.89073700 4.47414400 -0.20317800 -0.01945800 -1.35055000 -3.51280000 -1.30219700 -2.95343000 -1.54519800 5.90437600 -3.96413700 6.48513100 6.11414200 6.17537600 -4.30472600 -3.14364900 -4.79623900

SC

5.86598800 6.45149000 4.21212100 -6.32725300 -6.85991400 -5.91525200 -5.55131800 7.45192600 7.99843600 6.65518400 4.36429600 -7.38795100 -6.92554200 -5.92064400 -5.58774900 8.61762700 5.20041000 4.51514800 3.42616000 -7.62449300 9.69949700 -6.76012800 -8.48984500 -7.85159100 10.48619700 10.07858300 9.37639900

TE D

M AN U

-5.07198400 -8.88912700 -9.26437700 -8.87070300 -9.70339600 -9.27819800 -7.88307900 -7.98917800 -5.88825100 -9.94928200 -10.69754800 -9.58526200 -8.86067200 -10.33724000 -9.18581600 -8.58696400 -11.10015500 -10.93191600 -11.13688300 -9.45285600 -7.72403300 -9.80413100 -10.08497600 -8.41229500 -8.40042700 -7.09879300 -7.08292300

AC C

EP

H C O C H C H C H H C O H H H O H H H C C H H H H H H

S51

ACCEPTED MANUSCRIPT The Cartesian Coordinates of dye-TiO2 complexes F101-TiO2

RI PT

11.85840000 11.94230000 12.02050000 12.17380000 11.81810000 12.32260000 11.87580000 12.53380000 12.19910000 11.97100000 11.62980000 12.36970000 12.09560000 11.64080000 12.86290000 12.77720000 12.42800000 11.94080000 12.63320000 12.06970000 12.86720000 13.12840000 13.04860000 12.69040000 12.38480000 12.66370000 13.14610000 13.30770000 13.21800000 13.13890000 12.91870000 11.16940000 13.55290000 11.49980000 13.85920000 13.20980000 13.52880000 13.49770000 13.34330000 12.90740000 11.11360000

SC

11.93610000 10.94330000 11.73780000 9.60120000 11.18360000 10.52930000 12.76410000 8.71010000 8.98810000 9.97140000 12.14850000 10.76790000 12.16230000 13.80510000 7.81590000 6.89730000 7.61630000 9.75950000 9.80430000 12.61850000 8.43980000 6.48880000 5.68850000 6.65380000 7.15630000 10.27530000 7.46350000 6.25310000 5.48020000 4.65070000 5.24930000 6.75380000 7.12620000 10.25170000 10.74570000 7.68200000 5.28900000 4.17230000 3.60520000 4.78550000 6.33610000

TE D

M AN U

7.61960000 8.61860000 6.23270000 8.38500000 10.03830000 5.63500000 5.22500000 6.56780000 9.62370000 10.65840000 10.49730000 4.27480000 4.01380000 5.41980000 4.75020000 7.50720000 9.85930000 11.72230000 3.27910000 3.02940000 3.50950000 4.51540000 6.91310000 8.87160000 11.28430000 1.85750000 2.47920000 3.09900000 5.51590000 7.91410000 9.12660000 11.87470000 12.07270000 1.06270000 1.27740000 1.41810000 2.64890000 5.06170000 7.70720000 10.10770000 13.21580000

EP

AC C

C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H C

S52

ACCEPTED MANUSCRIPT

RI PT

10.07140000 13.51550000 14.70220000 11.52240000 10.36890000 13.90040000 14.95530000 12.29190000 10.17390000 8.79960000 14.41840000 15.92070000 12.72680000 10.62260000 9.16120000 14.82580000 16.20420000 12.25610000 8.80430000 8.53360000 8.08050000 16.16570000 15.85000000 16.69190000 12.75140000 8.85370000 8.40670000 9.28620000 16.52140000 16.13290000 16.92300000 13.74260000 14.02100000 14.11540000 14.21990000 14.40120000 13.94880000 14.49600000 14.15800000 14.59910000 14.45440000 14.15040000 14.63440000 11.58440000

SC

6.80630000 6.71190000 7.53610000 10.67860000 9.78210000 11.17660000 10.73760000 6.32180000 6.02680000 6.43500000 6.69290000 7.52940000 11.13720000 10.65710000 9.70860000 11.53610000 11.19990000 5.99910000 5.38520000 7.09340000 6.56360000 6.51370000 8.21300000 7.88120000 11.46970000 10.70530000 9.30760000 9.02950000 10.57000000 12.25050000 11.10960000 3.05840000 1.82590000 1.74120000 0.63230000 0.46760000 2.79110000 -0.59060000 0.64890000 -0.74080000 0.53750000 2.17750000 -1.46600000 13.27890000

TE D

M AN U

11.04270000 13.41560000 11.42960000 -0.27630000 1.69770000 -0.06000000 2.11400000 13.96870000 13.66750000 11.60980000 14.02150000 12.19860000 -0.81930000 -0.88650000 0.91500000 -0.50420000 1.56390000 15.00990000 11.93980000 12.45030000 10.79500000 12.54420000 13.05820000 11.50620000 -1.85790000 0.56380000 1.59880000 0.05850000 0.71940000 1.24420000 2.38450000 4.59890000 3.98670000 2.54430000 4.68900000 1.87800000 1.73760000 4.04280000 5.77640000 2.65470000 0.54350000 0.15330000 4.67860000 8.05760000

EP

AC C

O C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H N

S53

ACCEPTED MANUSCRIPT

RI PT

10.28360000 12.62740000 9.16460000 10.07710000 13.96550000 12.36170000 7.88510000 9.30100000 8.79220000 10.92810000 14.99730000 14.19400000 13.40000000 11.33610000 7.65900000 7.04310000 8.66440000 14.74740000 16.02050000 13.16370000 6.27560000 15.87680000 5.91370000 5.23310000 17.06340000 15.84790000 4.58990000 6.93180000 3.89910000 5.48210000 18.17910000 17.10690000 16.94710000 14.69150000 3.58340000 4.30090000 6.56280000 3.14090000 18.11130000 19.06500000 16.93820000 14.69030000 2.31480000 5.84160000

SC

13.59220000 14.24050000 12.89860000 14.56600000 13.84290000 15.59920000 13.18350000 12.12950000 14.84760000 15.10500000 14.77750000 12.80090000 16.52690000 15.92750000 14.16910000 12.61030000 15.60290000 16.14220000 14.44330000 17.56740000 14.48570000 17.09200000 14.79300000 14.48330000 16.68360000 18.42850000 15.07200000 14.77410000 14.76010000 14.28190000 17.51650000 15.67530000 19.27870000 18.82530000 15.05580000 15.30020000 14.96210000 14.75350000 18.82380000 17.14330000 20.29940000 20.13490000 15.35180000 14.19600000

TE D

M AN U

8.53100000 7.99650000 8.03080000 9.53030000 8.18040000 7.72790000 8.50860000 7.27160000 9.99300000 9.94570000 8.09410000 8.40240000 7.66130000 7.56140000 9.49250000 8.11920000 10.76490000 7.83620000 8.26950000 7.44940000 9.92120000 7.70220000 11.26380000 8.97840000 7.07030000 8.19350000 11.61270000 12.19890000 9.30300000 7.93620000 6.91290000 6.65770000 8.04750000 8.83850000 10.63350000 12.63570000 13.57900000 8.52260000 7.40770000 6.40380000 8.42180000 9.43970000 11.09640000 13.90160000

EP

AC C

C C C C C C C H C H C H C H C H H C H H C C C C C C C O C H C H C O C H C H C H H C O H

S54

ACCEPTED MANUSCRIPT

RI PT

6.14290000 7.49740000 19.12870000 14.78840000 15.49760000 13.71770000 1.25430000 20.34160000 1.42690000 0.34730000 1.14950000 21.00800000 20.15190000 20.80020000 14.87810000 15.10050000 15.01220000 15.36300000 15.28410000 14.91000000 15.64380000 15.52370000 15.74870000 15.88660000 14.43990000 16.62230000 16.02480000 16.13570000 16.14620000 16.41770000 16.61160000 16.46640000 9.55040000 9.50740000 9.08040000 9.45880000 19.18200000 19.35410000 19.41300000 19.19970000 19.26190000 19.25340000 19.24460000 13.88680000

SC

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TE D

M AN U

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EP

AC C

H H O H H H C C H H H H H H C S C C C H C C C S F F C C H C O O Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti

S55

ACCEPTED MANUSCRIPT

RI PT

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SC

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TE D

M AN U

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EP

AC C

Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti O O O O O O O O O O O O O O O O O O

S56

ACCEPTED MANUSCRIPT

RI PT

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ACCEPTED MANUSCRIPT F104-TiO2

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EP

AC C

O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O

S112

ACCEPTED MANUSCRIPT 19.33470000 19.76420000 19.40550000 19.54740000 12.23810000 12.24120000 12.12300000 11.26600000 12.00050000 11.54400000 12.22630000 12.17200000 22.13780000 22.33280000 22.20140000 17.04620000 16.84520000 17.20680000 17.65570000 17.19640000 17.24970000 17.06510000 17.53600000 16.70700000

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O O O O O O O O O O O O O O O O O O O O O O O H

S113

ACCEPTED MANUSCRIPT SM315-TiO2

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AC C

C C C N C N C Zn C C H C C H N N C H C H C C C C C C C C C C C C C C C H H C H H C

S114

ACCEPTED MANUSCRIPT

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EP

AC C

O C O C O C O C H C H C C H C H C H H H H H H H H H H H H H H C C C C C N C H C N S H C

S115

ACCEPTED MANUSCRIPT

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AC C

C C C H C H C H H C O O N C C C C C C C H C H C H C H C H H C H H C C C C C C C O C H C

S116

ACCEPTED MANUSCRIPT

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AC C

H C O C H C H C H H C O H H H O H H H C C H H H H H H Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti

S117

ACCEPTED MANUSCRIPT

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Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti Ti O O O O O O O O O O O O O O O O O O O O O O O

S118

ACCEPTED MANUSCRIPT

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S119

ACCEPTED MANUSCRIPT 22.36460000 17.00870000 17.08630000 17.57930000 17.61410000 17.14620000 17.61440000 16.73810000 17.47760000 16.81910000

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S120

ACCEPTED MANUSCRIPT The Cartesian Coordinates of TiO2 cluster

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AC C

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S121

ACCEPTED MANUSCRIPT

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O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O

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ACCEPTED MANUSCRIPT

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AC C

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S123

ACCEPTED MANUSCRIPT

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Table 1. Calculated electronic transition data in termed of excitation energies (E/eV), band wavelengths (λ/nm), oscillator Strengths (f), and electronic compositions for the dyes in THF using TD-CAM-B3LYP/LANL2DZ on the PCM model.a Dyes E(eV) λ(nm) f Composition F101 1.76(S0→S1) 703 1.5806 H→L(65%) H→L+1(11%) H-1→L(10%) 3.16(S0→S9) 393 1.1076 H-2→L+3(38%) H→L+3(9%) H-2→L+2(9%) H-2→L+1(8%) H→L+2(8%) H-1→L(6%) F102 1.80(S0→S1) 688 1.5197 H →L(67%) H →L+1(10%) H-1→L(10%) H-2→L+2(5%) 3.16(S0→S8) 392 0.9155 H-2→L+2(50%) H→L+1(22%) H-1→L+1(6%) H-1→L+1(5%) 679 1.2013 H→L(66%) F103 1.82(S0→S1) H→L+1(12%) H-1→L(9%) H-2→L+2(6%) 3.19(S0→S8) 389 1.1700 H-1→L+2(45%) H-4→L(12%) H-1→L+1(11%) H→L+1(8%) 685 1.4463 H→L(67%) F104 1.81(S0→S1) H→L+1(11%) H-1→L(9%) H-2→L+2(5%) 3.13(S0→S7) 396 1.7063 H-2→L+2(36%) H→L+3(15%) H-3→L+3(12%) H-1→L+1(8%) H-1→L+3(6%) H→L+1(5%) F105 1.81(S0→S1) 684 1.3446 H→ L(67%) H→L+1(11%) H-1→L(9%) H-2→L+2(6%) 3.16(S0→S7) 392 1.2668 H-2→L+2(38%) H-2→L+1(11%) H→L+1(9%) H-1→L+1(9%) H→L+2(5%) H-4→L(5%) FSQ101 1.60(S0→S1) 773 2.4426 H→L(60%) H→L+1(13%) H-1→L(11%) H-3→L(5%) 2.81(S0→S7) 441 1.0833 H-2→L+3(19%) H→L+1(17%) H-1→L(17%) H-3→L(13%) H-1→L+2(12%) H-1→L+1(6%) FSQ102 1.62(S0→S1) 764 2.3902 H→ L(57%) H→L+1 (13%) H-1→L(12%) H-3→L(6%) 3.07(S0→S8) 403 1.0409 H-2→L+3(41%) H-1→L(31%) H→L+2(11%) H-3→L(5%) FSQ103 1.64(S0→S1) 756 2.4606 H→ L(57%) H→L+1(15%) H-1→L(9%) 3.13(S0→S10) 396 0.9169 H-2→L+2(35%) H→L+3(31%) H-2→L+1(26%) FSQ104 1.64(S0→S1) 757 2.3918 H→ L(58%) H→L+1(13%) H-1→L(10%) H-3→L(7%) 3.07(S0→S8) 404 1.1799 H-2→L+3(42%) H-1→L(32%) H→L+2(11%) SM315 1.91(S0→S1) 651 0.9497 H→L(63%) H→L+1(16%) H-2→L+2(9%) H-1→L(7%) 3.14(S0→S6) 394 1.5582 H-2→L+2(37%) H→L+1(32%) H-4→L(11%) H-1→L(6%) a

Only orbital percentage >5% are reported; where H=HOMO and L=LUMO.

ACCEPTED MANUSCRIPT Table 2. The EDDMs and CT parameters for all dyes corresponding to the S0→S1 transition. DCT(Å)

F101

0.658

4.853

FSQ101

F102

0.604

3.932

FSQ102

F103

0.637

4.541

FSQ103

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0.607

4.171

F105

0.634

4.489

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EDDsa

qCT (e)

DCT(Å)

0.719

6.269

0.693

5.937

0.658

5.425

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0.683

5.739

SM315

0.564

3.734

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The blue and purple colors symbolizes an decrease and increase in electron density, respectively. The isosurface of electron density is 0.0002 a.u.

ACCEPTED MANUSCRIPT Table 3. The bond length (Å), and adsorption energy (kcal mol-1) of dye-TiO2 complexes calculated by PBE/DNP in the DMol3 module. Ti-O(Å)

Ti-O(Å)

Eads(kcal mol-1)

Dyes

Ti-O(Å)

Ti-O(Å)

Eads(kcal mol-1)

F101 F102 F103 F104 F105

2.152 2.143 2.141 2.137 2.144

2.130 2.125 2.125 2.119 2.126

-16.4 -0.8 -16.2 -16.8 -15.9

FSQ101 FSQ102 FSQ103 FSQ104 SM315

2.139 2.146 2.130 2.139 2.149

2.121 2.118 2.115 2.124 2.124

-17.2 -18.2 -21.5 -17.1 -15.1

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ACCEPTED MANUSCRIPT Table 4. Calculated electronic properties of the isolated dyes and dye-(TiO2)38 complexes.

(mA cm ) 45.03 44.11 42.00 43.71 43.27 52.14 52.01 51.95 51.96 35.69(18.1)a

Edye (eV)

Edye* (eV)

Ginject (eV)

Greg (eV)

∆ECB (eV)

1.51 1.59 1.56 1.58 1.56 1.32 1.35 1.40 1.38 1.64

-5.32 -5.29 -5.33 -5.31 -5.32 -5.23 -5.22 -5.33 -5.28 -5.33

-3.56 -3.49 -3.51 -3.50 -3.51 -3.63 -3.60 -3.69 -3.64 -3.42

0.44 0.51 0.49 0.50 0.49 0.37 0.40 0.31 0.36 0.58

0.32 0.29 0.33 0.31 0.32 0.23 0.22 0.33 0.28 0.33

0.148 0.151 0.147 0.149 0.148 0.153 0.145 0.150 0.157 0.147

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ACCEPTED MANUSCRIPT Highlights 1. Photophysical properties of porphyrin dyes were systematically studied theoretically. 2. B1 was screened as an excellent π-conjugated bridge candidate for efficient dyes.

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3. FSQ101-104 exhibited enhanced light-harvesting abilities toward the NIR region.

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4. Designed dyes are expected to be promising sensitizers for highly efficient DSSCs.