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NONLINEAR MIXED *-JORDAN TYPE n-DERIVATIONS ON *-ALGEBRAS

  • Raof Ahmad Bhat;Abbas Hussain Shikeh;Mohammad Aslam Siddeeque
    • 대한수학회논문집
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    • 제39권2호
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    • pp.331-343
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    • 2024
  • Let ℜ be a *-algebra with unity I and a nontrivial projection P1. In this paper, we show that under certain restrictions if a map ψ : ℜ → ℜ satisfies $$\Psi(S_1{\diamond}S_2{\cdot}{\cdot}{\cdot}{\diamond}S_{n-1}{\bullet}S_n)=\sum_{k=1}^nS_1{\diamond}S_2{\diamond}{\cdot}{\cdot}{\cdot}{\diamond}S_{k-1}{\diamond}{\Psi}(S_k){\diamond}S_{k+1}{\diamond}{\cdot}{\cdot}{\cdot}{\diamond}S_{n-1}{\bullet}S_n$$ for all Sn-2, Sn-1, Sn ∈ ℜ and Si = I for all i ∈ {1, 2, . . . , n - 3}, where n ≥ 3, then ψ is an additive *-derivation.

SnOn, SnO2n, SnO3n (n = 1~4)의 열역학적 안정성과 결합에너지에 대한 DFT 이론 연구 (DFT Study for the Thermodynamic Stability and Binding Energeticsof SnOn, SnO2n, SnO3n (n = 1~4))

  • 김시조;김승준
    • 대한화학회지
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    • 제53권5호
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    • pp.512-520
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    • 2009
  • 본 연구에서는 반응성이 큰 황이 산소와 결합하여 산화황이 되고 이것들이 클러스터를 이루었 을 때의 구조와 결합에너지에 대하여 조사하였다. $S_{n}O_{n},\;S_{n}O_{2n},\;S_{n}O_{3n}\;(n\;=\;1{\sim}4)$까지의 여러 가능한 분자 구조를 B3LYP/6-311G** 이론수준까지 최적화 하였으며, 단량체($SO,\;SO_2,\;SO_3$)가 증가할 때의 결합에너지를 MP2/6-311G** 수준까지 계산하였다. $SnOn\;(n\;=\;1{\sim}4)$의 경우 S-O 단량체 증가에 따라 상대적으로 안정화되는 경향이 강하게 나타났으며, 약 20-25 kcal/mol 정도 증가하는 것으로 예측 되었다. 반면 $S_nO_{2n},\;S_nO_{3n} \;(n\;=\;1{\sim}4)$의 경우에는 $SO_2$$SO_3$ 의 증가에 따른 열역학적 안정성이 상대적으로 덜 안정화 되는 것으로 나타났으며, SO2 단량체가 증가함에 따른 결합에너지 변화는 2.2 kcal/mol, 그리고 $SO_3$ 단량체가 증가함에 따라 흡열반응으로 나타나 열역학적으로 더욱 불안정해질 것으로 예상된다.

ZERO DISTRIBUTION OF SOME DELAY-DIFFERENTIAL POLYNOMIALS

  • Laine, Ilpo;Latreuch, Zinelaabidine
    • 대한수학회보
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    • 제57권6호
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    • pp.1541-1565
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    • 2020
  • Let f be a meromorphic function of finite order ρ with few poles in the sense Sλ(r, f) := O(rλ+ε) + S(r, f), where λ < ρ and ε ∈ (0, ρ - λ), and let g(f) := Σkj=1bj(z)f(kj)(z + cj) be a linear delay-differential polynomial of f with small meromorphic coefficients bj in the sense Sλ(r, f). The zero distribution of fn(g(f))s - b0 is considered in this paper, where b0 is a small function in the sense Sλ(r, f).

650 ℃의 10%O2+10%CO2 가스 환경에서 2.25Cr-1Mo강의 산화특성에 미치는 KCl(s)과 K2SO4(s)의 영향 (Effect of KCl(s) and K2SO4(s) on Oxidation Characteristics of the 2.25Cr-1Mo Steel in 10%O2+10%CO2 Gas Environment at 650 ℃)

  • 정광후;김성종
    • Corrosion Science and Technology
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    • 제19권1호
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    • pp.43-50
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    • 2020
  • In this study, the effects of KCl(s) and K2SO4(s) on the oxidation characteristics of 2.25Cr-1Mo steel were investigated for 500 h in 10O2 + 10CO2 (vol%) gas environmen at 650 ℃. Oxidation kinetics were characterized by weight gain, oxide layer thickness, and fitted models for the experiment data were proposed. The fitted models presented considerable agreement with the experimental data. The oxide layer was analyzed using the scanning electron microscope, optical microscope, and energy dispersive X-ray spectroscopy. The oxidation kinetics of 2.25Cr-1Mo steel with KCl and K2SO4 coatings showed significantly different oxidation kinetics. KCl accelerated the oxidation rate very much and had linear oxidation behavior. In contrast, K2SO4 had no significant effect, which had parabolic kinetics. The oxide layer was commonly composed of Fe2O3, Fe3O4, and FeCr2O4 spinel. KCl strongly accelerated the oxidation rates of 2.25Cr-1Mo steel in the high-temperature oxidation environment. Conversely, K2SO4 had little effect on the oxidation rates.

실리콘 태양전지 응용을 위한 황 결핍 n형 MoS2 층 연구 (Sulfur Defect-induced n-type MoS2 Thin Films for Silicon Solar Cell Applications)

  • 이인승;김근주
    • 반도체디스플레이기술학회지
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    • 제22권3호
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    • pp.46-51
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    • 2023
  • We investigated the MoS2 thin film layer by thermolytic deposition and applied it to the silicon solar cells. MoS2 thin films were made by two methods of dipping and spin coating of (NH4)2MoS4 precursor solution. We implemented two types of substrates of microtextured and nano-microtextured 6-in. Si pn junction wafers. The fabricated MoS2 thin film layer was analyzed, and solar cells were fabricated by applying the standard silicon solar cell process. The MoS2 thin film layer of sulfur-deficient form was deposited on the n-type emitter layer, and electrons, which are minority carriers, were well transported at the interface and exhibited photovoltaic solar cell characteristics. The cell efficiencies were achieved at 5% for microtextured wafers and 2.56% for nano-microtextured wafers.

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The synthesis and properties of point defect structure of Cu2-XZnSnS4 (x=0.1, 0.2, and 0.3)

  • Bui D. Long;Le T. Bang
    • Advances in materials Research
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    • 제13권1호
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    • pp.55-62
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    • 2024
  • Cu-based sulfides have recently emerged as promising thermoelectric (TE) materials due to their low cost, non-toxicity, and abundance. In this research, point defect structure of Cu2-xZnSnS4 (x=0.1, 0.2, 0.3) samples were synthesized by the mechanical alloying method. Mixed powders of Cu, Zn, Sn and S were milled using high energy ball milling at a rotation speed of 300 rpm in Ar atmosphere. The milled Cu2-xZnSnS4 powders were heat-treated at 723 K for 24 h, and subsequently consolidated using spark plasma sintering (SPS) under an applied pressure of 60 MPa for 15 min. The thermal conductivity of the sintered Cu2-xZnSnS4 samples was evaluated. A well-defined Cu2-xZnSnS4 powders were successfully formed after milling for 16 h, with the particle sizes mostly distributed in the range of 60-100 nm. The lattice constants of aand cdecreased with increasing composition value x. The thermal conductivity of sintered x=0.1 sample exhibited the lowest value and attained 0.93 W/m K at 673 K.

Template Synthesis and Characterization of Host (Nanocavity of Zeolite Y)-Guest ([Cu([18]aneN4S2)]2+, [Cu([20]aneN4S2)]2+, [Cu(Bzo2[18]aneN4S2)]2+, [Cu(Bzo2[20]aneN4S2)]2+) Nanocomposite Materials

  • Salavati-Niasari, Masoud;Mirsattari, Seyed Nezamodin;Saberyan, Kamal
    • Bulletin of the Korean Chemical Society
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    • 제30권2호
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    • pp.348-354
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    • 2009
  • Copper(II) complexes with tetraoxo dithia tetraaza macrocyclic ligands; [18]ane$N_4S_2$: 1,4,10,13-tetraaza-5,9,14,18-tetraoxo-7,16-dithia-cyclooctadecane, [20]ane$N_4S_2$: 1,5,11,15-tetraaza-6,10,16,20-tetraoxo-8,18-dithia-cyclocosane,Bzo2[18]ane$N_4S_2$: dibenzo-1,4,10,13-tetraaza-5,9,14,18-tetraoxo-7,16-dithia-cyclooctadecane, Bzo2[20]ane$N_4S_2$: dibenzo-1,5,11,15-tetraaza-6,10,16,20-tetraoxo-8,18-dithia-cyclocosane; were entrapped in the nanopores of zeolite-Y by a two-step process in the liquid phase: (i) adsorption of [bis(diamine)copper(II)] (diamine = 1,2-diaminoethane, 1,3-diaminopropane, 1,2-diaminobenzene, 1,3-diaminobenzene); $[Cu(N-N)_2]^{2+}$-NaY; in the nanopores of the zeolite, and (ii) in situ template condensation of the copper(II) precursor complex with thiodiglycolic acid. The obtained complexes and new host-guest nanocomposite materials; $[Cu([18]aneN_4S_2)]^{2+}-NaY,\;[Cu([20]aneN_4S_2)]^{2+}-NaY,\;[Cu(Bzo_2[18]aneN_4S_2)]^{2+}-NaY,\;[Cu(Bzo_2[20]aneN_4S_2)]^{2+}$-NaY; have been characterized by elemental analysis FT-IR, DRS and UV-Vis spectroscopic techniques, molar conductance and magnetic moment data, XRD and, as well as nitrogen adsorption. Analysis of data indicates all of the complexes have been encapsulated within nanopore of zeolite Y without affecting the zeolite framework structure.

엽록소형광을 이용한 하절기 동안 한지형 잔디 3종의 활력도 비교 분석 (Comparion of Vitality among Three Cool-Season Turfgrasses during Summer using Chlorophyll Fluorescence)

  • 고석찬
    • 한국자원식물학회:학술대회논문집
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    • 한국자원식물학회 2021년도 춘계학술대회
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    • pp.44-44
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    • 2021
  • 본 연구는 제주지역의 골프 코스에서 하절기 고온기간에 온도의 상승을 비롯한 다양한 환경변화로 인하여 생육 장애가 심한 한지형 잔디인 perennial ryegrass (Lolium perenne L.), Kentucky bluegrass (Poa pratensis L.), creeping bentgrass (Agrostis palustris Huds.) 3종에 대하여 엽록소형광과 엽록소지수를 측정하여 골프 코스와 스포츠 필드에서 잔디 선정과 관리를 위한 기본적인 정보를 얻기 위하여 수행하였다. Fo 값은 3종 모두 하절기 초기에는 낮고 후기에 다소 증가하는 양상을 보였다. 그러나, perennial ryegrass의 경우는 하절기 초기와 후기 간의 Fo 값의 변화가 컸으며, 특히, 후기에 Fo 값은 다른 2종 월등하게 보다 높았다. Fm 값은 3종 모두 하절기 초기에는 낮고 하절기 후기에 증가하였으나 3종 간의 차이는 크지 않았다. 광계 II의 광화학적 효율의 척도인 Fv/Fm 값은 3종 모두에서 하절기 초기에 낮고, 후기에 다소 증가하는 양상을 보였으나, 하절기 후기에 Kentucky bluegrass와 creeping bentgrass는 perennial ryegrass에 비해 Fv/Fm 값이 다소 높아 하절기 고온에서도 보다 더 잘 적응하는 것으로 보인다. 엽록소지수는 perennial ryegrass와 Kentucky bluegrass에서는 뚜렷하게 하절기 초기에는 낮고 후기에 높은 양상을 보였으나, creeping bentgrass는 조사기간 내내 낮은 상태를 유지하였다. 이상의 결과로부터 Kentucky bluegrass가 하절기 후기의 고온이나 빈번한 강우에 의한 습한 조건에 가장 강하고, perennial ryegrass가 가장 취약한 것으로 사료된다.

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Change of Crystalline Properties of Poly(ethylene-co-vinyl acetate) according to the Microstructures

  • Choi, Sung-Seen;Chung, Yu Yeon
    • Elastomers and Composites
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    • 제56권2호
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    • pp.92-99
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    • 2021
  • Microstructure-dependent changes in the crystalline properties of poly(ethylene-co-vinyl acetate) (EVA) was investigated using various EVAs at different VA contents via X-ray diffraction (XRD). The parameters analyzed herein were percentage crystallinity (Xc), interplanar crystal spacing (dhkl), crystal stack size (Dhkl), and the number of crystal plane piles (Nhkl). The Xcs of [110] and [200] crystals were 21.0-4.1 and 6.7-1.4%, respectively, and they decreased by approximately 2.3 and 0.7% for every mol% of the VA content, respectively. The Xc ratios of the [110] and [200] crystals were approximately 3. The d110s and d200s values were 0.41-0.42 and 0.37-0.38 nm, respectively. The D110s and D200s values were 9.56 -21.92 and 7.00-16.42 nm, respectively. The dhkls increased with an increase in the VA content, whereas the Dhkls decreased. The N110s and N200s were 22.7-51.3 and 18.3-43.2, respectively, and they decreased by increasing the VA content. EVA with the same VA content showed different crystalline properties as per the suppliers, and some EVAs deviated from the average trends. This could be explained by the difference in their microstructures such as the sizes and distribution uniformity of the ethylene sequences in EVA chains.