Results 121 to 130 of about 10,192,155 (339)
Advanced Materials Technologies, EarlyView.Mesoscopic carbon‐based perovskite solar cells (C‐PSCs) offer a pathway to stable, scalable, low‐cost photovoltaics via commercially mature fabrication methods. While their potential lifespan has been demonstrated under standardized conditions, few studies examine the behavior of large‐area modules exposed to real‐world environments. Here, 12 months of
Sarah‐Jane Potts +8 more
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Annales Mathematicae SilesianaeWe develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle +2 more
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Some alternating sums of Lucas numbers
Open Mathematics, 2005 Abstract We consider alternating sums of squares of odd and even terms of the Lucas sequence and alternating sums of their products. These alternating sums have nice representations as products of appropriate Fibonacci and Lucas numbers.
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Advanced Optical Materials, EarlyView.This study explores overlapping charge transport mechanisms in TADF materials and identifies spin‐orbit coupling as the dominant mechanism for triplet‐to‐singlet transition in carbazole‐based cyanoarene emitters. Computational investigations reveal a second spin‐orbit‐coupling‐mediated reverse intersystem crossing pathway, significantly enhancing the ...
Annika Morgenstern +13 more
wiley +1 more source
On Sums of Squares of Pell-Lucas Numbers
, 2006 In this paper we prove several formulas for sums of squares of even Pell-Lucas numbers, sums of squares of odd Pell-Lucas numbers, and sums of products of even and odd PellLucas numbers. These sums have nice representations as products of appropriate Pell and Pell-Lucas numbers with terms from certain integer sequences.
Cerin Z., GIANELLA, Gian Mario
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Advanced Sustainable Systems, EarlyView.Iron oxide‐impregnated biochar from sugarcane bagasse exhibits remarkable efficiency in removing 2,4‐dichlorophenoxyacetic acid and chlorophenoxyacetic acid, offering a sustainable option for water purification. The material retains high performance under real conditions while meeting safety criteria for irrigation use. Distinct structural features and
Thamiris Ferreira Souza +9 more
wiley +1 more source
Cubic binomial Fibonacci sums [PDF]
Electronic Journal of Mathematics, 2021 Kunle Adegoke +2 more
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Congruences for $q$-Lucas Numbers [PDF]
The Electronic Journal of Combinatorics, 2013 For $\alpha,\beta,\gamma,\delta\in{\mathbb Z}$ and ${\rm\nu}=(\alpha,\beta,\gamma,\delta)$, the $q$-Fibonacci numbers are given by$$F_0^{{\rm\nu}}(q)=0,\ F_1^{{\rm\nu}}(q)=1\text{ and }F_{n+1}^{{\rm\nu}}(q)=q^{\alpha n-\beta}F_{n}^{{\rm\nu}}(q)+q^{\gamma n-\delta}F_{n-1}^{{\rm\nu}}(q)\text{ for }n\geq 1.$$And define the $q$-Lucas number $L_{n}^{{\rm\nu}
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Phase‐Change Materials for Volatile Threshold Resistive Switching and Neuronal Device Applications
Advanced Science, EarlyView.Volatile threshold switching materials are an important pathway to simulate neuronal behavior. This review summarizes recent advances in the development of volatile resistive switching devices and neuronal oscillators based on three representative phase change materials, emphasizes the major challenges in this rapidly evolving field, and provides an ...
Huandong Chen, Jayakanth Ravichandran
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Advanced Science, EarlyView.Reductive amination of aldehydes and ketones to primary amines with high selectivity and yield can be achieved over Ni‐doped MFM‐300(Cr) in the presence of NH3 and H2. In situ inelastic neutron scattering, coupled with modeling, reveals that cooperativity between Ni active sites and MFM‐300(Cr) affords an optimal microenvironment for the selective ...
Wenyuan Huang +18 more
wiley +1 more source