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Punnoose, D.,Suh, S.M.,Kim, B.J.,kim, S.k.,Kumar, Ch.S.S.P.,Rao, S.S.,Thulasi-Varma, C.V.,Reddy, A.E.,Chung, S.H.,Kim, H.J. Elsevier Sequoia 2016 Journal of Electroanalytical Chemistry Vol.773 No.-
<P>The deposition techniques of quantum dots (QDs) have great influence on the photovoltaic performances of quantum dot sensitised solar cells (QDSSCs). In this study, we report CdS/CdSe sensitised TiO2 solar cells focussing on the influence of two commonly used in situ QD deposition techniques (SILAR: successive ionic layer adsorption and reaction and CBD: chemical bath deposition). In addition to this, the QDSSC performance is enhanced due to better light harvesting capability of PbS quantum dots and makes large accumulation of photo-injected electrons in the conduction band of TiO2. When compared to power conversion efficiency (PCE) of 4.58% was obtained for PbS/CBD-CdS/CBD-CdSe cells when compared to PbS/SILAR-CdS/SILAR-CdSe. With chemical bath deposition, we achieved high surface coverage of QDs, which contributes to the increase in photocurrent,open circuit voltage and fill factor. Impedance spectroscopy revealed that the PbS/CBD-CdS/CBD-CdSe reduces recombination and increases charge collection efficiency and a long electron lifetime was achieved. To associate the assembling of QDs with the performance of QDSSCs a methodical characterization of morphology, optical and electro-chemical properties and its stability has been studied. We achieved PbS seeded CBD highlighting its robust consequences for the performance of QDSSCs. (C) 2016 Elsevier B.V. All rights reserved.</P>
HURWITZ TYPE RESULTS FOR CERTAIN REPRESENTATIONS OF INTEGERS AS SUMS OF SQUARES
D. D. Somashekara,THULASI.M.B. 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.3
Let rα,β(n) denote the number of representations of n as a sum of α times a square and β times another square. In the recent past, a number of authors have obtained Hurwitz type results for representations of integers as sums of squares. Motivated by their works, in this paper we prove many results in which the generating function of r2,3(λk(an + b)), r2,4(an + b) and r1,5(λk(an + b)) for various non-negative integer values of λ, k, a and b are infinite products. To obtain our main results we use the theta function identities of Ramanujan found in chapter 16 of his second notebook.