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Kuang R, Perepechaenko M, Barbeau M. A new quantum-safe multivariate polynomial public key digital signature algorithm. Sci Rep 2022; 12:13168. [PMID: 35915107 PMCID: PMC9343446 DOI: 10.1038/s41598-022-15843-x] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2022] [Accepted: 06/30/2022] [Indexed: 11/25/2022] Open
Abstract
We propose a new quantum-safe digital signature algorithm called Multivariate Polynomial Public Key Digital Signature (MPPK/DS). The core of the algorithm is based on the modular arithmetic property that for a given element g, greater than equal to two, in a prime Galois field GF(p) and two multivariate polynomials P and Q, if P is equal to Q modulo p-1, then g to the power of P is equal to g to the power of Q modulo p. MPPK/DS is designed to withstand the key-only, chosen-message, and known-message attacks. Most importantly, making secret the element g disfavors quantum computers' capability to solve the discrete logarithm problem. The security of the MPPK/DS algorithm stems from choosing a prime p associated with the field GF(p), such that p is a sum of a product of an odd prime number q multiplied with a power x of two and one. Given such a choice of a prime, choosing even coefficients of the publicly available polynomials makes it hard to find any private information modulo p-1. Moreover, it makes it exponentially hard to lift the solutions found modulo q to the ring of integers modulo p-1 by properly arranging x and q. However, finding private information modulo the components q and power x of two is an NP-hard problem since it involves solving multivariate equations over the chosen finite field. The time complexity of searching a private key from a public key or signatures is exponential over GF(p). The time complexity of perpetrating a spoofing attack is also exponential for a field GF(p). MPPK/DS can achieve all three NIST security levels with optimized choices of multivariate polynomials and the generalized safe prime p.
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Affiliation(s)
- Randy Kuang
- Quantropi Inc., Ottawa, Ontario, K1Z 8P8, Canada.
| | | | - Michel Barbeau
- School of Computer Science, Carleton University, Ottawa, K1S 5B6, Canada.
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Sundaresan C, Josse P, Vebber MC, Brusso J, Lu J, Tao Y, Alem S, Lessard BH. Design of ternary additive for organic photovoltaics: a cautionary tale. RSC Adv 2022; 12:10029-10036. [PMID: 35424912 PMCID: PMC8965687 DOI: 10.1039/d2ra00540a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2022] [Accepted: 03/18/2022] [Indexed: 11/21/2022] Open
Abstract
Silicon phthalocyanines as ternary additives are a promising way to increase the performance of organic photovoltaics. The miscibility of the additive and the donor polymer plays a significant role in the enhancement of the device performance, therefore, ternary additives can be designed to better interact with the conjugated polymer. We synthesized N-9′-heptadecanyl-2,7-carbazole functionalized SiPc ((CBzPho)2-SiPc), a ternary additive with increased miscibility in poly[N-90-heptadecanyl-2,7-carbazole-alt-5,5-(4′,7′-di-2-thienyl-2′,1′,3′-benzothiadiazole)] (PCDTBT). The resulting additive was included into PCDTBT and [6,6]-phenyl C71 butyric acid methyl ester as bulk (PC71BM) heterojunction OPV devices as a ternary additive. While the (CBzPho)2-SiPc demonstrated strong EQE >30% contribution in the range of 650–730 nm, the overall performance was reduced because (CBzPho)2-SiPc acted as a hole trap due to its high-lying HOMO energy level. This study demonstrates the importance of the solubility, miscibility, and energy level engineering of the ternary additive when designing organic photovoltaic devices. Silicon phthalocyanines with carbazole axial functional groups were synthesized to improve the miscibility in PCDTBT and for use as ternary additives in organic photovoltaics.![]()
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Affiliation(s)
- Chithiravel Sundaresan
- Department of Chemical & Biological Engineering, University of Ottawa 161 Louis Pasteur Ottawa ON K1N 6N5 Canada .,Advanced Electronics and Photonics Research Centre, National Research Council of Canada Ottawa ON K1A 0R6 Canada
| | - Pierre Josse
- Department of Chemical & Biological Engineering, University of Ottawa 161 Louis Pasteur Ottawa ON K1N 6N5 Canada .,Department of Chemistry and Biomolecular Science, University of Ottawa 150 Louis-Pasteur Pvt Ottawa ON K1N 6N5 Canada
| | - Mário C Vebber
- Department of Chemical & Biological Engineering, University of Ottawa 161 Louis Pasteur Ottawa ON K1N 6N5 Canada
| | - Jaclyn Brusso
- Department of Chemistry and Biomolecular Science, University of Ottawa 150 Louis-Pasteur Pvt Ottawa ON K1N 6N5 Canada
| | - Jianping Lu
- Advanced Electronics and Photonics Research Centre, National Research Council of Canada Ottawa ON K1A 0R6 Canada
| | - Ye Tao
- Advanced Electronics and Photonics Research Centre, National Research Council of Canada Ottawa ON K1A 0R6 Canada
| | - Salima Alem
- Advanced Electronics and Photonics Research Centre, National Research Council of Canada Ottawa ON K1A 0R6 Canada
| | - Benoît H Lessard
- Department of Chemical & Biological Engineering, University of Ottawa 161 Louis Pasteur Ottawa ON K1N 6N5 Canada .,School of Electrical Engineering and Computer Science, University of Ottawa 800 King Edward Ave. Ottawa ON K1N 6N5 Canada
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Lee SM, Kumari T, Lee B, Cho Y, Lee J, Oh J, Jeong M, Jung S, Yang C. Horizontal-, Vertical-, and Cross-Conjugated Small Molecules: Conjugated Pathway-Performance Correlations along Operation Mechanisms in Ternary Non-Fullerene Organic Solar Cells. SMALL (WEINHEIM AN DER BERGSTRASSE, GERMANY) 2020; 16:e1905309. [PMID: 31922652 DOI: 10.1002/smll.201905309] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/18/2019] [Revised: 11/16/2019] [Indexed: 06/10/2023]
Abstract
A family of the SM-axis series based on benzo[1,2-b:4,5-b']dithiophene and 3-ethylrhodanine (RD) units with structurally different π-conjugation systems are synthesized as a means to understand the structure-property relationship of conjugated pathways in ternary non-fullerene organic solar cells (NF-OSCs) as a third component. The optical and electrochemical properties of the SM-axis are highly sensitive both to the functionalized direction and to the number of RD groups. Enhanced power conversion efficiencies (PCEs) of over 11% in ternary devices are obtained by incorporating optimal SM-X and SM-Y contents from PBDB-T:ITIC binary NF-OSCs, while a slightly lower PCE is observed with the addition of SM-XY. The results of in-depth studies using various characterization techniques demonstrate that working mechanisms of SM-axis-based ternary NF-OSCs are distinctly different from one another: an energy-transfer mechanism with an alloy-like model for SM-X, a charge transfer with the same model for SM-Y, and an energy transfer without such a structure for SM-XY. As extension of the scope, a SM-X-based ternary NF-OSC in the PM6:IT4F system also shows a greatly enhanced PCE of over 13%. The findings provide insights into the effects of conjugated pathways of organic semiconductors on mechanisms of ternary NF-OSCs, advancing the understanding for synthetic chemists, materials engineers, and device physicists.
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Affiliation(s)
- Sang Myeon Lee
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Tanya Kumari
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Byongkyu Lee
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Yongjoon Cho
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Jungho Lee
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Jiyeon Oh
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Mingyu Jeong
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Sungwoo Jung
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
| | - Changduk Yang
- Department of Energy Engineering, School of Energy and Chemical Engineering, Perovtronics Research Center, Low Dimensional Carbon Materials Center, Ulsan National Institute of Science and Technology (UNIST), 50 UNIST-gil, Ulju-gun, Ulsan, 44919, Republic of Korea
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Schultes M, Giesbrecht N, Küffner J, Ahlswede E, Docampo P, Bein T, Powalla M. Universal Nanoparticle Wetting Agent for Upscaling Perovskite Solar Cells. ACS APPLIED MATERIALS & INTERFACES 2019; 11:12948-12957. [PMID: 30859802 DOI: 10.1021/acsami.8b22206] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Solution-processed perovskite solar cells reach efficiencies over 23% on lab-scale. However, a reproducible transfer of these established processes to upscaling techniques or different substrate surfaces requires a highly controllable perovskite film formation. Especially, hydrophobic surfaces cause severe dewetting issues. Such surfaces are particularly crucial for the so-called standard n-i-p cell architecture when fullerene-based electron transport layers are employed underneath perovskite absorber films. In this work, a unique and universally applicable method was developed based on the deposition of size-controlled Al2O3 or SiO2 nanoparticles. By enhancing the surface energy, they act as a universal wetting agent. This allows perovskite precursor solutions to be spread perfectly over various substrates including problematic hydrophobic Si-wafers or fullerene self-assembled monolayers (C60-SAMs). Moreover, the results show that the perovskite morphology, solar cell performance, and reproducibility benefit from the presence of the nanoparticles at the interface. When applied to 144 cm2 C60-SAM-coated substrates, homogenous coverage can be realized via spin coating resulting in average efficiencies of 16% (maximum 18%) on individualized cells with 0.1 cm2 active area. Modules in the same setup reached maximum efficiencies of 11 and 7% on 2.8 and 23.65 cm2 aperture areas, respectively.
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Affiliation(s)
- Moritz Schultes
- Center for Solar Energy and Hydrogen Research Baden-Württemberg (ZSW) , Meitnerstr. 1 , 70563 Stuttgart , Germany
| | - Nadja Giesbrecht
- Department of Chemistry and Center for NanoScience (CeNS) , University of Munich (LMU) , Butenandtstr. 5-13 , 81377 München , Germany
| | - Johannes Küffner
- Center for Solar Energy and Hydrogen Research Baden-Württemberg (ZSW) , Meitnerstr. 1 , 70563 Stuttgart , Germany
| | - Erik Ahlswede
- Center for Solar Energy and Hydrogen Research Baden-Württemberg (ZSW) , Meitnerstr. 1 , 70563 Stuttgart , Germany
| | - Pablo Docampo
- School of Electrical and Electronic Engineering , Newcastle University , Merz Court, NE1 7RU Newcastle upon Tyne , U.K
| | - Thomas Bein
- Department of Chemistry and Center for NanoScience (CeNS) , University of Munich (LMU) , Butenandtstr. 5-13 , 81377 München , Germany
| | - Michael Powalla
- Center for Solar Energy and Hydrogen Research Baden-Württemberg (ZSW) , Meitnerstr. 1 , 70563 Stuttgart , Germany
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Wang Y, Kim HD, Wang B, Ohkita H. Visible Sensitization for Non-Fullerene Polymer Solar Cells Using a Wide Bandgap Polymer. J PHOTOPOLYM SCI TEC 2018. [DOI: 10.2494/photopolymer.31.177] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Yanbin Wang
- Jiangsu Key Laboratory of Environmentally Friendly Polymeric Materials, School of Materials Science and Engineering, Jiangsu Collaborative Innovation Center of Photovolatic Science and Engineering, Changzhou University
| | - Hyung Do Kim
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University
| | - Biaobing Wang
- Jiangsu Key Laboratory of Environmentally Friendly Polymeric Materials, School of Materials Science and Engineering, Jiangsu Collaborative Innovation Center of Photovolatic Science and Engineering, Changzhou University
| | - Hideo Ohkita
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University
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Gobalasingham NS, Noh S, Howard JB, Thompson BC. Influence of Surface Energy on Organic Alloy Formation in Ternary Blend Solar Cells Based on Two Donor Polymers. ACS APPLIED MATERIALS & INTERFACES 2016; 8:27931-27941. [PMID: 27660888 DOI: 10.1021/acsami.6b10144] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The compositional dependence of the open-circuit voltage (Voc) in ternary blend bulk heterojunction (BHJ) solar cells is correlated with the miscibility of polymers, which may be influenced by a number of attributes, including crystallinity, the random copolymer effect, or surface energy. Four ternary blend systems featuring poly(3-hexylthiophene-co-3-(2-ethylhexyl)thiophene) (P3HT75-co-EHT25), poly(3-hexylthiophene-co-(hexyl-3-carboxylate)), herein referred to as poly(3-hexylthiophene-co-3-hexylesterthiophene) (P3HT50-co-3HET50), poly(3-hexylthiophene-thiophene-diketopyrrolopyrrole) (P3HTT-DPP-10%), and an analog of P3HTT-DPP-10% with 40% of 3-hexylthiophene exchanged for 2-(2-methoxyethoxy)ethylthiophen-2-yl (3MEO-T) (featuring an electronically decoupled oligoether side-chain), referred to as P3HTTDPP-MEO40%, are explored in this work. All four polymers are semicrystalline and rich in rr-P3HT content and perform well in binary devices with PC61BM. Except for P3HTTDPP-MEO40%, all polymers exhibit similar surface energies (∼21-22 mN/m). P3HTTDPP-MEO40% exhibits an elevated surface energy of around 26 mN/m. As a result, despite the similar optoelectronic properties and binary solar cell performance of P3HTTDPP-MEO40% compared to P3HTT-DPP-10%, the former exhibits a pinned Voc in two different sets of ternary blend devices. This is a stark contrast to previous rr-P3HT-based systems and demonstrates that surface energy, and its influence on miscibility, plays a critical role in the formation of organic alloys and can supersede the influence of crystallinity, the random copolymer effect, similar backbone structures, and HOMO/LUMO considerations. Therefore, we confirm surface energy compatibility as a figure-of-merit for predicting the compositional dependence of the Voc in ternary blend solar cells and highlight the importance of polymer miscibility in organic alloy formation.
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Affiliation(s)
- Nemal S Gobalasingham
- Department of Chemistry and Loker Hydrocarbon Research Institute, University of Southern California , Los Angeles, California 90089-1661, United States
| | - Sangtaik Noh
- Department of Chemistry and Loker Hydrocarbon Research Institute, University of Southern California , Los Angeles, California 90089-1661, United States
| | - Jenna B Howard
- Department of Chemistry and Loker Hydrocarbon Research Institute, University of Southern California , Los Angeles, California 90089-1661, United States
| | - Barry C Thompson
- Department of Chemistry and Loker Hydrocarbon Research Institute, University of Southern California , Los Angeles, California 90089-1661, United States
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7
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Yamazawa S, Nakashima M, Suda Y, Nishiyabu R, Kubo Y. 2,3-Naphtho-Fused BODIPYs as Near-Infrared Absorbing Dyes. J Org Chem 2016; 81:1310-5. [DOI: 10.1021/acs.joc.5b02720] [Citation(s) in RCA: 42] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- Sho Yamazawa
- Department of Applied Chemistry,
Graduate School of Urban Environmental Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan
| | - Mika Nakashima
- Department of Applied Chemistry,
Graduate School of Urban Environmental Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan
| | - Yukie Suda
- Department of Applied Chemistry,
Graduate School of Urban Environmental Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan
| | - Ryuhei Nishiyabu
- Department of Applied Chemistry,
Graduate School of Urban Environmental Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan
| | - Yuji Kubo
- Department of Applied Chemistry,
Graduate School of Urban Environmental Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan
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8
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Xu H, Ohkita H, Tamai Y, Benten H, Ito S. Interface engineering for ternary blend polymer solar cells with a heterostructured near-IR dye. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2015; 27:5868-5874. [PMID: 26310791 DOI: 10.1002/adma.201502773] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2015] [Revised: 07/06/2015] [Indexed: 06/04/2023]
Abstract
Ternary-blend polymer solar cells can be effectively improved by incorporating a heterostructured near-IR dye, which has a hexyl group compatible with the polymer and a benzyl group compatible with the fullerene. Because of the compatibility with both materials, the heterostructured dye can be loaded up to 15 wt% and hence can boost the photocurrent generation by 30%.
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Affiliation(s)
- Huajun Xu
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Nishikyo-ku, Kyoto, 615-8510, Japan
| | - Hideo Ohkita
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Nishikyo-ku, Kyoto, 615-8510, Japan
- Japan Science and Technology Agency (JST), PRESTO, 4-1-8 Kawaguchi Honcho, Saitama, 332-0012, Japan
| | - Yasunari Tamai
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Nishikyo-ku, Kyoto, 615-8510, Japan
| | - Hiroaki Benten
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Nishikyo-ku, Kyoto, 615-8510, Japan
| | - Shinzaburo Ito
- Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Katsura, Nishikyo-ku, Kyoto, 615-8510, Japan
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Wang Y, Ohkita H, Benten H, Ito S. Highly efficient exciton harvesting and charge transport in ternary blend solar cells based on wide- and low-bandgap polymers. Phys Chem Chem Phys 2015; 17:27217-24. [DOI: 10.1039/c5cp05161d] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Abstract
Ternary blend solar cells using a crystalline wide-bandgap P3HT and a low-bandgap PSBTBT exhibit good exciton harvesting and charge transport.
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Affiliation(s)
- Yanbin Wang
- Department of Polymer Chemistry
- Graduate School of Engineering
- Kyoto University
- Nishikyo
- Japan
| | - Hideo Ohkita
- Department of Polymer Chemistry
- Graduate School of Engineering
- Kyoto University
- Nishikyo
- Japan
| | - Hiroaki Benten
- Department of Polymer Chemistry
- Graduate School of Engineering
- Kyoto University
- Nishikyo
- Japan
| | - Shinzaburo Ito
- Department of Polymer Chemistry
- Graduate School of Engineering
- Kyoto University
- Nishikyo
- Japan
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