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Sanzaro S, Zontone F, Grosso D, Bottein T, Neri F, Smecca E, Mannino G, Bongiorno C, Spinella C, La Magna A, Alberti A. Bimodal Porosity and Stability of a TiO 2 Gig-Lox Sponge Infiltrated with Methyl-Ammonium Lead Iodide Perovskite. NANOMATERIALS (BASEL, SWITZERLAND) 2019; 9:E1300. [PMID: 31514348 PMCID: PMC6781015 DOI: 10.3390/nano9091300] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/02/2019] [Revised: 08/31/2019] [Accepted: 09/06/2019] [Indexed: 02/05/2023]
Abstract
We created a blend between a TiO2 sponge with bimodal porosity and a Methyl-Ammonium Lead Iodide (MAPbI3) perovskite. The interpenetration of the two materials is effective thanks to the peculiar sponge structure. During the early stages of the growth of the TiO2 sponge, the formation of 5-10 nm-large TiO2 auto-seeds is observed which set the micro-porosity (<5 nm) of the layer, maintained during further growth. In a second stage, the auto-seeds aggregate into hundreds-of-nm-large meso-structures by their mutual shadowing of the grazing Ti flux for local oxidation. This process generates meso-pores (10-100 nm) treading across the growing layer, as accessed by tomographic synchrotron radiation coherent X-ray imaging and environmental ellipsometric porosimetry. The distributions of pore size are extracted before (>47% V) and after MAPbI3 loading, and after blend ageing, unfolding a starting pore filling above 80% in volume. The degradation of the perovskite in the blend follows a standard path towards PbI2 accompanied by the concomitant release of volatile species, with an activation energy of 0.87 eV under humid air. The use of dry nitrogen as environmental condition has a positive impact in increasing this energy by ~0.1 eV that extends the half-life of the material to 7 months under continuous operation at 60 °C.
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Affiliation(s)
- Salvatore Sanzaro
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII n°5, 95121 Catania, Italy.
- Department of Mathematical and Computational Sciences, Physics and Earth Sciences, University of Messina, Viale F. Stagno d'Alcontres 31, 98166 Messina, Italy.
| | - Federico Zontone
- ESRF, The European Synchrotron, CS40220, 38043 Grenoble CEDEX 9, France.
| | - David Grosso
- Institut Matériaux Microélectronique Nanosciences de Provence (IM2NP) Aix-Marseille Université, 13397 Marseille CEDEX 20, France.
| | - Thomas Bottein
- Institut Matériaux Microélectronique Nanosciences de Provence (IM2NP) Aix-Marseille Université, 13397 Marseille CEDEX 20, France.
| | - Fortunato Neri
- Department of Mathematical and Computational Sciences, Physics and Earth Sciences, University of Messina, Viale F. Stagno d'Alcontres 31, 98166 Messina, Italy.
| | - Emanuele Smecca
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII n°5, 95121 Catania, Italy.
| | - Giovanni Mannino
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII n°5, 95121 Catania, Italy.
| | - Corrado Bongiorno
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII n°5, 95121 Catania, Italy.
| | - Corrado Spinella
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII n°5, 95121 Catania, Italy.
| | - Antonino La Magna
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII n°5, 95121 Catania, Italy.
| | - Alessandra Alberti
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII n°5, 95121 Catania, Italy.
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Huang CH, Chen YW, Chen CM. Chromatic Titanium Photoanode for Dye-Sensitized Solar Cells under Rear Illumination. ACS APPLIED MATERIALS & INTERFACES 2018; 10:2658-2666. [PMID: 29299909 DOI: 10.1021/acsami.7b18351] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Titanium (Ti) has high potential in many practical applications such as biomedicine, architecture, aviation, and energy. In this study, we demonstrate an innovative application of dye-sensitized solar cells (DSSCs) based on Ti photoanodes that can be integrated into the roof engineering of large-scale architectures. A chromatic Ti foil produced by anodizing oxidation (coloring) technology is an attractive roof material for large-scale architecture, showing a colorful appearance due to the formation of a reflective TiO2 thin layer on both surfaces of Ti. The DSSC is fabricated on the backside of the chromatic Ti foil using the Ti foil as the working electrode, and this roof-DSSC hybrid configuration can be designed as an energy harvesting device for indoor artificial lighting. Our results show that the facet-textured TiO2 layer on the chromatic Ti foil not only improves the optical reflectance for better light utilization but also effectively suppresses the charge recombination for better electron collection. The power conversion efficiency of the roof-DSSC hybrid system is improved by 30-40% with a main contribution from an improvement of short-circuit current density under standard 1 sun and dim-light (600-1000 lx) illumination.
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Affiliation(s)
- Chih-Hsiang Huang
- Department of Chemical Engineering, National Chung Hsing University , 145 Xingda Road, South District, Taichung 402, Taiwan
| | - Yu-Wen Chen
- Department of Chemical Engineering, National Chung Hsing University , 145 Xingda Road, South District, Taichung 402, Taiwan
| | - Chih-Ming Chen
- Department of Chemical Engineering, National Chung Hsing University , 145 Xingda Road, South District, Taichung 402, Taiwan
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Huang JM, Tsai SY, Ku CS, Lin CM, Chen SY, Lee HY. Enhanced electrical properties and field emission characteristics of AZO/ZnO-nanowire core-shell structures. Phys Chem Chem Phys 2017; 18:15251-9. [PMID: 27210896 DOI: 10.1039/c6cp01011c] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
The electrical properties and field-emission characteristics of ZnO nanowires (ZnO-NWs) fabricated using a vapor-liquid-solid method were systematically investigated. In particular, we explored the effects of Al-doped ZnO (AZO) films (thickness 4-100 nm) deposited on ZnO-NWs using an atomic layer deposition (ALD) method on the optoelectronic properties. The results show that the sheet resistance of net-like ZnO-NW structures can be significantly improved, specifically to become ∼1/1000 of the sheet resistance of the as-grown ZnO-NWs, attaining less than 10 Ω Sq(-1). The emission current density measured at the maximum field was roughly quadrupled relative to that of the as-grown ZnO-NWs. The data of the enhanced field-emission characteristics show that, with the ALD system, the AZO films of small resistance are readily coated on a structure with a high aspect ratio and the coating radius is controlled relative to the turn-on voltage and current density. The ultrathin AZO film from a one-monolayer coating process also significantly improved emission properties through modification of the effective work function at the AZO/ZnO-NW surface.
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Affiliation(s)
- Jheng-Ming Huang
- Program for Science and Technology of Accelerator Light Source, National Chiao Tung University, Hsinchu 300, Taiwan
| | - Shang-You Tsai
- Program for Science and Technology of Accelerator Light Source, National Chiao Tung University, Hsinchu 300, Taiwan
| | - Ching-Shun Ku
- National Synchrotron Radiation Research Center, 101 Hsin-Ann Road, Hsinchu Science Park, Hsinchu 30076, Taiwan.
| | - Chih-Ming Lin
- Department of Applied Science, National Hsinchu University of Education, Hsinchu 30014, Taiwan.
| | - San-Yuan Chen
- Department of Materials Science and Engineering, National Chiao Tung University, Hsinchu 300, Taiwan
| | - Hsin-Yi Lee
- National Synchrotron Radiation Research Center, 101 Hsin-Ann Road, Hsinchu Science Park, Hsinchu 30076, Taiwan. and Department of Applied Science, National Hsinchu University of Education, Hsinchu 30014, Taiwan.
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Sanzaro S, Smecca E, Mannino G, Bongiorno C, Pellegrino G, Neri F, Malandrino G, Catalano MR, Condorelli GG, Iacobellis R, De Marco L, Spinella C, La Magna A, Alberti A. Multi-Scale-Porosity TiO 2 scaffolds grown by innovative sputtering methods for high throughput hybrid photovoltaics. Sci Rep 2016; 6:39509. [PMID: 28000743 PMCID: PMC5175132 DOI: 10.1038/srep39509] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2016] [Accepted: 11/21/2016] [Indexed: 02/02/2023] Open
Abstract
We propose an up-scalable, reliable, contamination-free, rod-like TiO2 material grown by a new method based on sputtering deposition concepts which offers a multi-scale porosity, namely: an intra-rods nano-porosity (1–5 nm) arising from the Thornton’s conditions and an extra-rods meso-porosity (10–50 nm) originating from the spatial separation of the Titanium and Oxygen sources combined with a grazing Ti flux. The procedure is simple, since it does not require any template layer to trigger the nano-structuring, and versatile, since porosity and layer thickness can be easily tuned; it is empowered by the lack of contaminations/solvents and by the structural stability of the material (at least) up to 500 °C. Our material gains porosity, stability and infiltration capability superior if compared to conventionally sputtered TiO2 layers. Its competition level with chemically synthesized reference counterparts is doubly demonstrated: in Dye Sensitized Solar Cells, by the infiltration and chemisorption of N-719 dye (∼1 × 1020 molecules/cm3); and in Perovskite Solar Cells, by the capillary infiltration of solution processed CH3NH3PbI3 which allowed reaching efficiency of 11.7%. Based on the demonstrated attitude of the material to be functionalized, its surface activity could be differently tailored on other molecules or gas species or liquids to enlarge the range of application in different fields.
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Affiliation(s)
- Salvatore Sanzaro
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy.,University of Messina, Department of Mathematical and Computational Sciences, Physics and Earth Sciences, V. le F. Stagno d'Alcontres 31, Messina 98166, Italy
| | - Emanuele Smecca
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy
| | - Giovanni Mannino
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy
| | - Corrado Bongiorno
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy
| | - Giovanna Pellegrino
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy
| | - Fortunato Neri
- University of Messina, Department of Mathematical and Computational Sciences, Physics and Earth Sciences, V. le F. Stagno d'Alcontres 31, Messina 98166, Italy
| | - Graziella Malandrino
- Department of Chemical Sciences, University of Catania, V. le Andrea Doria 6, 95125 Catania, Italy
| | - Maria Rita Catalano
- Department of Chemical Sciences, University of Catania, V. le Andrea Doria 6, 95125 Catania, Italy
| | | | - Rosabianca Iacobellis
- Italian Institute of Technology Foundation-Center for Biomolecular Nanotechnology (IIT-CBN) Via Barsanti sn, 73010, Arnesano, Italy.,University of Salento, Department of Innovation Engineering, Via per Monteroni 73100, Lecce, Italy
| | - Luisa De Marco
- National Research Council-Institute of Nanotechnology (CNR-Nanotec), District of Technology, Via Arnesano 16, 73100 Lecce, Italy
| | - Corrado Spinella
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy
| | - Antonino La Magna
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy
| | - Alessandra Alberti
- National Research Council-Institute for Microelectronics and Microsystems (CNR-IMM), Zona Industriale-Strada VIII no. 5, Catania 95121, Italy
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Lin CM, Liu HT, Zhong SY, Hsu CH, Chiu YT, Tai MF, Juang JY, Chuang YC, Liao YF. Structural Transitions in Nanosized Zn 0.97Al 0.03O Powders under High Pressure Analyzed by in Situ Angle-Dispersive X-ray Diffraction. MATERIALS (BASEL, SWITZERLAND) 2016; 9:E561. [PMID: 28773683 PMCID: PMC5456907 DOI: 10.3390/ma9070561] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/25/2016] [Revised: 06/28/2016] [Accepted: 07/07/2016] [Indexed: 11/16/2022]
Abstract
Nanosized aluminum-doped zinc oxide Zn1-xAlxO (AZO) powders (AZO-NPs) with x = 0.01, 0.03, 0.06, 0.09 and 0.11 were synthesized by chemical precipitation method. The thermogravimetric analysis (TGA) indicated that the precursors were converted to oxides from hydroxides near 250 °C, which were then heated to 500 °C for subsequent thermal processes to obtain preliminary powders. The obtained preliminary powders were then calcined at 500 °C for three hours. The structure and morphology of the products were measured and characterized by angle-dispersive X-ray diffraction (ADXRD) and scanning electron microscopy (SEM). ADXRD results showed that AZO-NPs with Al content less than 11% exhibited würtzite zinc oxide structure and there was no other impurity phase in the AZO-NPs, suggesting substitutional doping of Al on Zn sites. The Zn0.97Al0.03O powders (A₃ZO-NPs) with grain size of about 21.4 nm were used for high-pressure measurements. The in situ ADXRD measurements revealed that, for loading run, the pressure-induced würtzite (B4)-to-rocksalt (B1) structural phase transition began at 9.0(1) GPa. Compared to the predicted phase-transition pressure of ~12.7 GPa for pristine ZnO nanocrystals of similar grain size (~21.4 nm), the transition pressure for the present A₃ZO-NPs exhibited a reduction of ~3.7 GPa. The significant reduction in phase-transition pressure is attributed to the effects of highly selective site occupation, namely Zn2+ and Al3+, were mainly found in tetrahedral and octahedral sites, respectively.
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Affiliation(s)
- Chih-Ming Lin
- Department of Applied Science, National Hsinchu University of Education, Hsinchu 30014, Taiwan.
| | - Hsin-Tzu Liu
- Department of Chemical Engineering, National Tsing Hua University, Hsinchu 30013, Taiwan.
- Chemical Systems Research Division, Chung-Shan Institute of Science & Technology, Taoyuan 32546, Taiwan.
| | - Shi-Yao Zhong
- Department of Applied Science, National Hsinchu University of Education, Hsinchu 30014, Taiwan.
| | - Chia-Hung Hsu
- Department of Applied Science, National Hsinchu University of Education, Hsinchu 30014, Taiwan.
| | - Yi-Te Chiu
- Department of Applied Science, National Hsinchu University of Education, Hsinchu 30014, Taiwan.
| | - Ming-Fong Tai
- Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan.
| | - Jenh-Yih Juang
- Department of Electrophysics, National Chiao Tung University, Hsinchu 33013, Taiwan.
| | - Yu-Chun Chuang
- National Synchrotron Radiation Research Center, 101 Hsin-Ann Road, Hsinchu Science Park, Hsinchu 30076, Taiwan.
| | - Yen-Fa Liao
- National Synchrotron Radiation Research Center, 101 Hsin-Ann Road, Hsinchu Science Park, Hsinchu 30076, Taiwan.
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Controlled Al3+ Incorporation in the ZnO Lattice at 188 °C by Soft Reactive Co-Sputtering for Transparent Conductive Oxides. ENERGIES 2016. [DOI: 10.3390/en9060433] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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7
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Chen DY, Kao JY, Hsu CY, Tsai CH. The effect of AZO and compact TiO2 films on the performance of dye-sensitized solar cells. J Electroanal Chem (Lausanne) 2016. [DOI: 10.1016/j.jelechem.2016.01.012] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Alberti A, Deretzis I, Pellegrino G, Bongiorno C, Smecca E, Mannino G, Giannazzo F, Condorelli GG, Sakai N, Miyasaka T, Spinella C, La Magna A. Similar Structural Dynamics for the Degradation of CH3NH3PbI3in Air and in Vacuum. Chemphyschem 2015; 16:3064-71. [DOI: 10.1002/cphc.201500374] [Citation(s) in RCA: 69] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/09/2015] [Revised: 06/26/2015] [Indexed: 11/12/2022]
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Alberti A, Bongiorno C, Pellegrino G, Sanzaro S, Smecca E, Condorelli GG, Giuffrida AE, Cicala G, Latteri A, Ognibene G, Cassano A, Figoli A, Spinella C, La Magna A. Low temperature sputtered TiO2 nano sheaths on electrospun PES fibers as high porosity photoactive material. RSC Adv 2015. [DOI: 10.1039/c5ra13153g] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
Low temperature approach based on combining electrospinning and reactive sputtering processes to realise a porous mesh of PES fibers wrapped by TiO2 nano-sheaths, active under UV illumination.
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Affiliation(s)
| | | | | | - S. Sanzaro
- CNR-IMM Zona Industriale
- Catania
- Italy
- Dipartimento di Fisica e Scienze della Terra
- Università degli Studi di Messina
| | - E. Smecca
- CNR-IMM Zona Industriale
- Catania
- Italy
| | - G. G. Condorelli
- Università degli Studi di Catania and INSTM UdR Catania
- 95125 Catania
- Italy
| | - A. E. Giuffrida
- Università degli Studi di Catania and INSTM UdR Catania
- 95125 Catania
- Italy
| | - G. Cicala
- Università degli Studi di Catania
- Engineering Department
- 95125 Catania
- Italy
| | - A. Latteri
- Università degli Studi di Catania
- Engineering Department
- 95125 Catania
- Italy
| | - G. Ognibene
- Università degli Studi di Catania
- Engineering Department
- 95125 Catania
- Italy
| | - A. Cassano
- Institute on Membrane Technology
- ITM-CNR
- c/o University of Calabria
- 87030 Rende (Cosenza)
- Italy
| | - A. Figoli
- Institute on Membrane Technology
- ITM-CNR
- c/o University of Calabria
- 87030 Rende (Cosenza)
- Italy
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Colella S, Mosconi E, Pellegrino G, Alberti A, Guerra VLP, Masi S, Listorti A, Rizzo A, Condorelli GG, De Angelis F, Gigli G. Elusive Presence of Chloride in Mixed Halide Perovskite Solar Cells. J Phys Chem Lett 2014; 5:3532-3538. [PMID: 26278605 DOI: 10.1021/jz501869f] [Citation(s) in RCA: 52] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
The role of chloride in the MAPbI3-xClx perovskite is still limitedly understood, albeit subjected of much debate. Here, we present a combined angle-resolved X-ray photoelectron spectroscopy (AR-XPS) and first-principles DFT modeling to investigate the MAPbI3-xClx/TiO2 interface. AR-XPS analyses carried out on ad hoc designed bilayers of MAPbI3-xClx perovskite deposited onto a flat TiO2 substrate reveal that the chloride is preferentially located in close proximity to the perovskite/TiO2 interface. DFT calculations indicate the preferential location of chloride at the TiO2 interface compared to the bulk perovskite due to an increased chloride-TiO2 surface affinity. Furthermore, our calculations clearly demonstrate an interfacial chloride-induced band bending, creating a directional "electron funnel" that may improve the charge collection efficiency of the device and possibly affecting also recombination pathways. Our findings represent a step forward to the rationalization of the peculiar properties of mixed halide perovskite, allowing one to further address material and device design issues.
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Affiliation(s)
- Silvia Colella
- †NNL - National Nanotechnology Laboratory, CNR Istituto Nanoscienze, Distretto Tecnologico, Via Arnesano 16, 73100 Lecce, Italy
| | - Edoardo Mosconi
- ‡Computational Laboratory for Hybrid/Organic Photovoltaics (CLHYO), CNR-ISTM, Via Elce di Sotto 8, Perugia I-06123, Italy
| | - Giovanna Pellegrino
- §CNR-IMM, Istituto per la Microelettronica e Microsistemi, Strada VIII n°5, 95121 Catania, Italy
| | - Alessandra Alberti
- §CNR-IMM, Istituto per la Microelettronica e Microsistemi, Strada VIII n°5, 95121 Catania, Italy
| | - Valentino L P Guerra
- †NNL - National Nanotechnology Laboratory, CNR Istituto Nanoscienze, Distretto Tecnologico, Via Arnesano 16, 73100 Lecce, Italy
- ∇Dipartimento di Matematica e Fisica "E. De Giorgi", Universita' del Salento, Via per Arnesano, 73100 Lecce, Italy
| | - Sofia Masi
- †NNL - National Nanotechnology Laboratory, CNR Istituto Nanoscienze, Distretto Tecnologico, Via Arnesano 16, 73100 Lecce, Italy
- ⊥Center for Bio-Molecular Nanotechnology, Fondazione Istituto Italiano di Tecnologia, Via Barsanti, 73010 Arnesano (Lecce), Italy
- ∇Dipartimento di Matematica e Fisica "E. De Giorgi", Universita' del Salento, Via per Arnesano, 73100 Lecce, Italy
| | - Andrea Listorti
- †NNL - National Nanotechnology Laboratory, CNR Istituto Nanoscienze, Distretto Tecnologico, Via Arnesano 16, 73100 Lecce, Italy
- ⊥Center for Bio-Molecular Nanotechnology, Fondazione Istituto Italiano di Tecnologia, Via Barsanti, 73010 Arnesano (Lecce), Italy
| | - Aurora Rizzo
- †NNL - National Nanotechnology Laboratory, CNR Istituto Nanoscienze, Distretto Tecnologico, Via Arnesano 16, 73100 Lecce, Italy
| | | | - Filippo De Angelis
- ‡Computational Laboratory for Hybrid/Organic Photovoltaics (CLHYO), CNR-ISTM, Via Elce di Sotto 8, Perugia I-06123, Italy
| | - Giuseppe Gigli
- †NNL - National Nanotechnology Laboratory, CNR Istituto Nanoscienze, Distretto Tecnologico, Via Arnesano 16, 73100 Lecce, Italy
- ⊥Center for Bio-Molecular Nanotechnology, Fondazione Istituto Italiano di Tecnologia, Via Barsanti, 73010 Arnesano (Lecce), Italy
- ∇Dipartimento di Matematica e Fisica "E. De Giorgi", Universita' del Salento, Via per Arnesano, 73100 Lecce, Italy
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