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INVERSE SYSTEM AND ARTINIAN O-SEQUENCES OF CODIMENSION 4

  • Shin, Dong-Soo
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.513-518
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    • 2007
  • There is a one to one correspondence between Artinian algebras $k[x_1,...,x_n]/Ann(M)$ and finitely generated $k[x_1,...,x_n]-submodules$ M of $k[y_1,...,y_n]$ by Inverse System. In particular, any Artinian level algebra $k[x_1,...,x_n]/Ann(M)$ can be obtained when M is finitely generated by only maximal degree generators. We prove that H = (1, 4, 8, 13,..., 27, 8, 2) is not a level Artinian O-sequence using this inverse system.

Magnetic Properties of $(\textrm{Fe}_{1-x}\textrm{Co}_{x})_{89}\textrm{Zr}_{11}$ Amorphous Films(II) ($(\textrm{Fe}_{1-x}\textrm{Co}_{x})_{89}\textrm{Zr}_{11}$ 비정질 자성박막의 자기특성(II))

  • Kim, Sang-Won
    • Korean Journal of Materials Research
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    • v.9 no.8
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    • pp.831-836
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    • 1999
  • Magnetic properties of (Fe(sub)1-xCo(sub)x)(sub)89Zr11 amorphous films fabricated by RF sputtering method have been investigated as a function of Co content x. By means of two step field annealing at 190~20$0^{\circ}C$ for 10 minutes in the magnetic field of 130 Oe, the film with x=0.4 among the samples shows the superior soft magnetic properties in spite of showing the high magnetostriction. For example, the obtained properties of coercivity and differential permeability measured in an exciting field of 10 mOe at the frequency of 8.7 MHz are 0.25 Oe and 280, respectively. It is confirmed that such behavior is due to the variation of magnetic anisotropies caused by a optimal compressive stress within the film.

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Crystal Structures of Zeolite X Exchanged by Two Different Cations. Structures of Cd32Cs28-X and Cd28Rb36-X (X=Si100Al92O384)

  • Jeong, Gyoung-Hwa;Kim, Yang
    • Bulletin of the Korean Chemical Society
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    • v.23 no.8
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    • pp.1121-1126
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    • 2002
  • Two anhydrous crystal structures of fully dehydrated Cd2+ - and Cs+ -exchanged zeolite X, Cd32Cs28Si100Al92O384 (Cd32Cs28-X: a = 24.828(11) $\AA)$ and fully dehydrated Cd,sup>2+ - and Rb+ -exchanged zeolite X, Cd28Rb36Si100Al92O384 (Cd28Rb36-X: a = 24.794(2) $\AA$), have been determined by single-crystal X-ray diffraction techniques in the cubic space group Fd3 at $21(1)^{\circ}C.$ The structures were refined to the final error indices, R1 = 0.058 and R2 = 0.065 with 637 reflections for Cd32Cs28-X and R1 = 0.086 and R2 = 0.113 with 521 reflections for Cd28Rb36-X for which I > $3\sigma(I)$. In the structure of Cd,sub>32Cs28-X, 16 Cd2+ ions fill the octahedral sites I at the centers of the double six rings (Cd-O = $2.358(8)\AA$ and O-Cd-O = $90.8(3)^{\circ}$ ). The remaining 16 Cd2+ ions occupy site II (Cd-O = $2.194(8)\AA$ and O-Cd-O = $119.7(4)^{\circ})$ and six Cs+ ions occupy site II opposite to the single six-rings in the supercage; each is $2.322\AA$ from the plane of three oxygens (Cs-O = 3.193(13) and O-Cs-O = $73.0(2)^{\circ}).$ Aboutten Cs+ ions are found at site II', $1.974\AA$ into the sodalite cavity from their three oxygen plane (Cs-O = $2.947(8)\AA$ and O-Cs-O = $80.2(3)^{\circ}).$ The remaining 12 Cs+ ions are distributed over site III' (Cs-O = 3.143(9) and O-Cs-O= $59.1(2)^{\circ})$. In the structure of Cd28Rb36-X, 16 Cd2+ ions fill the octahedral sites I at the center of the double-sixrings (Cd-O = 2.349(15) and O-Cd-O = $91.3(5)^{\circ}$ ). Another 12 Cd2+ ions occupy two different II sites (Cd-O = $2.171(18)/2.269(17)\AA$ and O-Cd-O = $119.7(7)/113.2(7)^{\circ}).$ Fifteen Rb+ ions occupy site II (Rb-O = $2.707(17)\AA$ and O-Rb-O = $87.8(5)^{\circ}).$ The remaining 21 Rb+ ions are distributed over site III' (Rb-O = $3.001(16)\AA$ and O-Rb-O = $60.7(4)^{\circ})$. It appears that the smaller and more highly charged Cd2+ ions prefer sites I and Ⅱ in that order, and the larger Rb+ and Cs+ ions, which are less able to balance the anionic charge of the zeolite framework, occupy sites II and II' with the remainder going to the least suitable site in the structure, site III'.The maximum Cs+ and Rb+ ion exchanges were 30% and 39%, respectively. Because these cations are too largeto enter the small cavities and their charge distributions may be unfavorable, cation-sieve effects might appear.

Synthesis of Cd1-xZnxS/K4Nb6O17 Composite and its Photocatalytic Activity for Hydrogen Production

  • Liang, Yinghua;Shao, Meiyi;Liu, Li;Hu, Jinshan;Cui, Wenquan
    • Bulletin of the Korean Chemical Society
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    • v.35 no.4
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    • pp.1182-1190
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    • 2014
  • $Cd_{1-x}Zn_xS$-sensitized $K_4Nb_6O_{17}$ composite photocatalysts (designated $Cd_{1-x}Zn_xS/K_4Nb_6O_{17}$) were prepared via a simple deposition-precipitation method. The samples were characterized by X-ray diffraction (XRD), scanning electron microscopy (SEM), transmission electron microscopy (TEM), energy dispersive X-ray spectrometry (EDS), $N_2$ sorption, ultraviolet-visible light diffuse reflectance spectroscopy (UV-Vis DRS), photoluminescence measurements (PL), and X-ray photoelectron spectroscopy (XPS). The $Cd_{0.8}Zn_{0.2}S$ particles were scattered on the surface of $K_4Nb_6O_{17}$, and had a relatively uniform size distribution around 50 nm. The absorption edge of $K_4Nb_6O_{17}$ was shifted to the visible light region and the recombination of photo-generated electrons and holes suppressed after $Cd_{0.8}Zn_{0.2}S$ loading. The $Cd_{0.8}Zn_{0.2}S$(25 wt %)/$K_4Nb_6O_{17}$ composite possessed the highest photocatalytic activity for hydrogen production under visible light irradiation, evolving 8.278 mmol/g in 3 h. Recyclability tests were performed, and the composite photocatalysts were found to be fairly stable. The mechanism of charge separation between the photogenerated electrons and holes at the $Cd_{0.8}Zn_{0.2}S/K_4Nb_6O_{17}$ composite was discussed.

Electrical Property Changes of $\textrm{NO}_X$ Sensitive $\textrm{WO}_3$ Thin Films as Applied DC Voltages on 8YSZ Substrate (8YSZ 기판에 증착한 $\textrm{WO}_3$ 박막의 DC 전압에 따른 $\textrm{NO}_X$ 감지특성)

  • 전춘배;박기철
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.36T no.1
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    • pp.8-12
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    • 1999
  • $\textrm{WO}_3$ semiconductive film, which is known to have a sensitivity on $\textrm{NO}_X$ gas was prepared on 8YSZ (8% Yttria stabilized $\textrm{ZrO}_2$) ionic conductor substrate that has oxygen ion pumping effect. Microstructure and electrical properity, especially $\textrm{NO}_X$ sensitivity as a function of DC voltage applied to 8YSZ substrate was examined. When the $\textrm{WO}_3$ film was annealed, it showed amorphous structure, while crystallization was occurred at $600^{\circ}$C revealing orthorhombic phase of $\textrm{WO}_3$. As the annealing temperature increases, (111) and (001) peaks of $\textrm{WO}_3$ film was enhanced. At $400^{\circ}C$ when DC voltage was applied, comparing with no DC bias, more stable and large response characteristics was showed, and the best sensitivity was observed at 2V. Recovery characteristics of NO gas was much better that that of $\textrm{NO}_2$ gas.

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Piezoelectric and Dielectric Characteristics of $((Na_{0.5}K_{0.5})_{1-x}Li_x)(Nb_{0.8}Ta_{0.2})O_3$ Ceramics using Conventional Solid State Sintering method (상용 소결법을 이용한 $((Na_{0.5}K_{0.5})_{1-x}Li_x)(Nb_{0.8}Ta_{0.2})O_3$ 세라믹스의 압전 및 유전 특성)

  • Kim, Min-Soo;Kim, Sin-Woong;Oh, Seok;Jeong, Soon-Jong;Min, Bok-Ki;Song, Jae-Sung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2006.11a
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    • pp.210-220
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    • 2006
  • Dense $((Na_{0.5}K_{0.5})_{1-x}Li_x)(Nb_{0.8}Ta_{0.2})O_3$ ceramics were developed by conventional sintering process. The electrical properties of $((Na_{0.5}K_{0.5})_{1-x}Li_x)(Nb_{0.8}Ta_{0.2})O_3$ ceramics were investigated as a function of Li substitution. When the sample sintered at $1100^{\circ}C$ for 4 h with the Substitution of 2 mol% Li, electro-mechanical coupling factor ($k_p$) and piezoelectric coefficient ($d_{33}$) were found to reach the highest values of 0.42 and 210 pC/N, respectively.

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Kinetics and Mechanism of Pyridinolyses of Aryl Methyl and Aryl Propyl Chlorothiophosphates in Acetonitrile

  • Barai, Hasi Rani;Lee, Hai Whang
    • Bulletin of the Korean Chemical Society
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    • v.35 no.2
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    • pp.483-488
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    • 2014
  • The nucleophilic substitution reactions of Y-aryl methyl (8) and Y-aryl propyl (10) chlorothiophosphates with X-pyridines are studied kinetically in acetonitrile at $35.0^{\circ}C$. The Hammett and Bronsted plots with X in the nucleophiles for both substrates exhibit biphasic concave upwards with a break region between X = 3-Me and H. The obtained values of the cross-interaction constants (${\rho}_{XY}$) are negative with 8 while positive with 10 despite the same free energy correlations with X for both substrates. A stepwise mechanism with a rate-limiting bond formation is proposed with 8, whereas a stepwise mechanism with a rate-limiting leaving group departure from the intermediate is proposed with 10 based on the sign of ${\rho}_{XY}$, negative and positive with 8 and 10, respectively. A frontside nucleophilic attack is proposed with strongly basic pyridines based on the considerably great magnitudes of ${\rho}_X$ and ${\beta}_X$ values while a backside attack is proposed with weakly basic pyridines based on the relatively small magnitudes of ${\rho}_X$ and ${\beta}_X$ for both substrates.

Temperature Dependent Octahedral Tilting Behaviors of Monoclinic and Tetragonal SrRuO3 Thin Films

  • Lee, Sung Su;Seo, Okkyun;Kim, Jaemyung;Song, Chulho;Hiroi, Satoshi;Chen, Yanna;Katsuya, Yoshio;Sakata, Osami
    • Journal of the Korean Physical Society
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    • v.73 no.10
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    • pp.1529-1534
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    • 2018
  • We used in-situ synchrotron X-ray scattering to investigate phase transformations of octahedral tilted monoclinic $SrRuO_3$ (MSRO) and tetragonal SRO (TSRO) thin films on $SrTiO_3$ (STO) substrates. The octahedral tilted MSRO thin films were highly crystalline and the monoclinic distortion angle was $0.45^{\circ}$. The phase transition temperature from the MSRO to TSRO phase occurred at approximately $200^{\circ}C$ as a second order transition. Conversely, no phase transformations of the TSRO thin film occurred within the range from RT to $250^{\circ}C$. The octahedral $RuO_6$ rotation was strongly affected by the phase transformation in the SRO thin films.

Structure and Microwave Dielectric Characteristics of Ba6-3x(Sm1-yNdy)8+2x(Ti0.95Sn0.05)18O54 Ceramics as a Function Of Sintering Time

  • Li, Yi;Chen, Xiang Ming
    • Journal of the Korean Ceramic Society
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    • v.40 no.4
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    • pp.360-364
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    • 2003
  • Effects of sintering time upon the structures and microwave dielectric characteristics of co-substituted $Ba_{6-3x}$/S $m_{8+}$2x/ $Ti_{18}$ $O_{54}$ ceramics (x=2/3) were investigated. Prolonged sintering had significant effects upon the qf value and temperature coefficient, and a high Qf value (10,600 GHz) was obtained in the present ceramics combined with high-$\varepsilon$ (80) and near-zero temperature coefficient.t..