• Title/Summary/Keyword: Unit Structure Matrix

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Frequency-Dependent Line Capacitance and Conductance Calculations of On-Chip Interconnects on Silicon Substrate Using Fourier cosine Series Approach

  • Ymeri, H.;Nauwelaers, B.;Vandenberghe, S.;Maex, K.;De Roest, D.;Stucchi, M.
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.1 no.4
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    • pp.209-215
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    • 2001
  • In this paper a method for analysis and modelling of coplanar transmission interconnect lines that are placed on top of silicon-silicon oxide substrates is presented. The potential function is expressed by series expansions in terms of solutions of the Laplace equation for each homogeneous region of layered structure. The expansion coefficients of different series are related to each other and to potentials applied to the conductors via boundary conditions. In the plane of conductors, boundary conditions are satisfied at $N_d$ discrete points with $N_d$ being equal to the number of terms in the series expansions. The resulting system of inhomogeneous linear equations is solved by matrix inversion. No iterations are required. A discussion of the calculated line admittance parameters as functions of width of conductors, thickness of the layers, and frequency is given. The interconnect capacitance and conductance per unit length results are given and compared with those obtained using full wave solutions, and good agreement have been obtained in all the cases treated

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Nonlinear flexibility-based beam element on Winkler-Pasternak foundation

  • Sae-Long, Worathep;Limkatanyu, Suchart;Hansapinyo, Chayanon;Prachasaree, Woraphot;Rungamornrat, Jaroon;Kwon, Minho
    • Geomechanics and Engineering
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    • v.24 no.4
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    • pp.371-388
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    • 2021
  • A novel flexibility-based beam-foundation model for inelastic analyses of beams resting on foundation is presented in this paper. To model the deformability of supporting foundation media, the Winkler-Pasternak foundation model is adopted. Following the derivation of basic equations of the problem (strong form), the flexibility-based finite beam-foundation element (weak form) is formulated within the framework of the matrix virtual force principle. Through equilibrated force shape functions, the internal force fields are related to the element force degrees of freedom. Tonti's diagrams are adopted to present both strong and weak forms of the problem. Three numerical simulations are employed to assess validity and to show effectiveness of the proposed flexibility-based beam-foundation model. The first two simulations focus on elastic beam-foundation systems while the last simulation emphasizes on an inelastic beam-foundation system. The influences of the adopted foundation model to represent the underlying foundation medium are also discussed.

Electronic Structures of ANb2PS10 (A=Ag, Na) and AuNb4P2S20

  • Jung, Dong-Woon;Kim, Sung-Jin
    • Bulletin of the Korean Chemical Society
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    • v.24 no.6
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    • pp.739-743
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    • 2003
  • New quaternary compounds $ANb_2PS_{10}$ (A = Na, Ag) and $AuNb_4P_2S_{20}$ were synthesized and characterized. The structures of three compounds consist of one-dimensional infinite chains built by [$Nb_2S_{12}$] and [$PS_4$] units. Cation atoms are occupied within the van der Waals gap of sulfur atoms between infinite chains to make -S…$M^+$…S- contacts. There is only one Au atom site and so crystallographically a unit cell contains four equivalent Au atoms in $AuNb_4P_2S_{20}$. This is only the half of the numbers of Na or Ag atoms in $NaNb_2PS_{10}$ or $AgNb_2PS_{10}$. The ratio between $Nb_2PS_{10}$ matrix vs the cation is, therefore, 1 : 1 for Ag and Na, but it is 2 : 1 for Au. Mixed valency in Au or Nb was expected to balance the charge in the latter compound. The electronic structures calculated based on the extended Huckel tight-binding method show that $ANb_2PS_{10}$ (A = Ag, Na) are semiconducting, while $AuNb_4P_2S_{20}$ is metallic, which is not consistent with the experimental results of these three compounds that all exhibit semiconducting property. The result of calculation suggests that $AuNb_4P_2S_{20}$ might be a magnetic insulator. Magnetic measurement experiment exactly proved that the compound is a Slater antiferromagnetic material with the Neels' temperature of 45 K. It is recognized, therefore, that electronic structure analysis is very useful to understand the properties of compounds.

Species Composition and Community Structure of Demersal Organisms Caught by Shrimp Beam Trawl in the Coastal Waters of Gunsan of West Sea (서해 군산 연안에서 새우조망으로 어획된 저서생물의 종조성 및 군집구조)

  • HAN, In-Seong;EOM, Ki-Hyuk;KWON, Jung-No;PARK, Kyeong-Dong
    • Journal of Fisheries and Marine Sciences Education
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    • v.28 no.1
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    • pp.211-220
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    • 2016
  • Species composition of aquatic organism in the marine ranching area of Gunsan, Korea were investigated using shrimp beam trawl from May to December in 2010. A total of 91 species, $98,127ind./km^2$ and $877.6kg/km^2$ of aquatic organism were collected. Among them, species were included 60 species in Pisces, 21 in Crustacea and 10 in Mollusca. The individual dominant species, occupying over 10% of total individuals, were Latreutes anoplonyx($47,327ind/km^2$, 48.23%), Crangon hakodatei($11,578ind./km^2$, 11.80%) and Trachysalambria curvirostris($10,237ind./km^2$, 10.40%). And the biomass dominant species, occupying over 9% of total biomass, were Paralichthys olivaceus($135kg/km^2$, 15.4%), Okamejei kenojei($98.2kg/km^2$, 11.2%) and Portunus tribuberculatus($84.8kg/km^2$, 9.6%). From the cluster and MDS analysis based on Bray-Curtis similarity matrix of fourth root transformed data of number of species and individuals per unit area collected more than two times during this survey by each month and station was divided into three different groups. Group A showed seasonal similarity of characteristic of distribution in August and November, Group B in December and Group C in May.

[ $C_{28}H_{41}N_4O_4Br\;{\cdot}\;2H_2O$ ] (C_{28}H_{41}N_4O_4Br\;{\cdot}\;2H_2O$의 결정구조)

  • Kim Moon-Jib;Lee Jung-Ah;Jo Kyung-Jin;Choi Ki-Young
    • Korean Journal of Crystallography
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    • v.15 no.2
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    • pp.93-98
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    • 2004
  • The structure of C_{28}H_{41}N_4O_4Br\;{\cdot}\;2H_2O$ has been determined by X-ray deffraction methods. The crystal system is triclinic, space group Pl, unit cell constants, a=9.000(1) $\AA$, b=9.312(3) $\AA$, c=9.344(2) $\AA$, $\alpha=89.37(20)^{\circ},\;\beta=68.81(3)^{\circ},\;\gamma=84.70(4)^{\circ},\;V=726.7(8){\AA},\;T=298K,\;Z=1,\;D_c=1.402Mgm^{-3}$. The intensity data were collected on an Enraf-Nonius CAD4 Diffractometer with graphite monochromated $MoK\alpha$ radiation $(\lambda=0.71073\;{\AA}$. The molecular structure was solved by direct methods and refined by full-matrix least squares to a final $R=5.95\%$ for 2521 unique observed $F_0>4\sigma(F_0)$reflections and 370 parameters.

[ $C_{16}H_{19}O_2N_3CuCl_2\;{\cdot}\;H_2O$ ] ($C_{16}H_{19}O_2N_3CuCl_2\;{\cdot}\;H_2O$의 결정 구조)

  • Kim Moon-Jib;Kim Young-Soo;Choi Ki-Young
    • Korean Journal of Crystallography
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    • v.15 no.2
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    • pp.99-103
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    • 2004
  • The structure of $C_{16}H_{19}O_2N_3CuCl_2\;{\cdot}\;H_2O$ has been determined by X-ray diffraction methods. The crystal system is triclinic, space group Pl, unit cell constants. $a=7.6202(9)\; \AA,\; b=8.5943(7) \AA,\; c= 8.6272(6) \AA,\; \alpha= 67.518(6)^{\circ}.\; \beta= 68.043(8)^{\circ},\; \gamma=74.370(8)^{\circ},\; V=478.89(8)\; \AA^3,\; T=295K,\; Z=1,\; D_c=1.504Mgm^{-3}$The intensity data were collected on an Enraf-Nonius CAD-4 Diffractometer with graphite monochromated $MoK\alpha$ radiation $(\alpha=0.7107\;\AA)$. The molecular structure was solved by direct method.』 and refined by full-matrix least squares to a final $R=2.47\%$ for 1659 unique observed $F_0>4\sigma(F_0)$ reflections and 234 parameters.

Development of Thermoplastic Carbon Composite Hybrid Bipolar Plate for Vanadium Redox Flow Batteries (VRFB) (바나듐 레독스 흐름전지용 열가소성 탄소 복합재료 하이브리드 분리판 개발)

  • Jun Woo Lim
    • Composites Research
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    • v.36 no.6
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    • pp.422-428
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    • 2023
  • The electrical contact resistance between the bipolar plate (BP) and the carbon felt electrode (CFE), which are in contact by the stack clamping pressure, has a great impact on the stack efficiency because of the relatively low clamping pressure of the vanadium redox flow battery (VRFB) stack. In this study, a polyethylene (PE) composite-CFE hybrid bipolar plate structure is developed through a local heat welding process to reduce such contact resistance and improve cell performance. The PE matrix of the carbon fiber composite BP is locally melted to create a direct contact structure between the carbon fibers of CFE and the carbon fibers of BP, thereby reducing the electrical contact resistance. Area specific resistance (ASR) and gas permeability are measured to evaluate the performance of the PE composite-CFE hybrid bipolar plate. In addition, an acid aging test is performed to measure stack reliability. Finally, a VFRB unit cell charge/discharge test is performed to compare and analyze the performance of the developed PE composite-CFE hybrid BP and the conventional BP.

Crystal Structure of a Bromine Sorption Complex of Dehydrated Calcium and silver Exchanged Zeolite A (칼슘 및 은 이온으로 치환된 제올라이트 A를 탈수한 후 브롬을 흡착한 결정구조)

  • Bae, Myung-Nam;Kim, Un-Sik;Kim, Yang
    • Korean Journal of Crystallography
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    • v.8 no.2
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    • pp.127-131
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    • 1997
  • The crystal structure of a bromine sorption complex of vacuum-dehydrated Ag+ and Ca2+ exchanged zeolite A(a=12,234(1) Å) has been determined by single-crystal X-ray diffraction methods in the cubic space group Pm3m. The crystal was prepared by flow method using exchange solution in which mole ratio of AgNo3 and Ca(NO3)2 was 1:150 with a total concentration of 0.05M. The crystal was dehydrated at 360℃ and 2 ×10-6 Torr for 2days, followed by exposure to 180 Torr of Br2 vapor for 20min. full-matrix least-squares refinements converged to the final error indices of R1=0.111 and R2=0.101 using 90 reflections for which I>3o(I). About 3.1 Ag+ ions and 4.45 Ca2+ ions lie on the two crystallographically nonequivalent three-fold axes associated with 6-ring oxygens. A total of six bromine molecules are sorbed per unit cell. Each bromine molecule approaches a framework oxide ions axially (Br-Br-O=171(2)', O-Br=3.25(6) Å; and Br-Br=2,61(8) Å by a charge-transfer interaction.

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Dielectric Properties of Semi-IPN Poly(phenylene oxide) Blend/$BaTiO_3$ Composites with Type of Cross-linker (가교체 종류에 따른 Semi-IPN Poly(phenylene oxide) 블렌드와 $BaTiO_3$ 복합재료의 유전특성)

  • Jang, Yong-Kyun;Lee, Ho-Il;Seong, Won-Mo;Park, Sang-Hoon;Yoon, Ho-Gyu
    • Polymer(Korea)
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    • v.33 no.3
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    • pp.224-229
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    • 2009
  • The dielectric properties of semi-IPN poly(phenylene oxide)(PPO) blend/$BaTiO_3$(BT) composites are investigated. The composites are fabricated via melt-mixing of crosslinker and peroxide in precursor PPO composite obtained by precipitating the suspension consisted of PPO, BT and toluene into methylethyl ketone, poor solvent of PPO. The permittivity of the precursor PPO composites shows higher value than that of integral-blended PPO composites by extruder and coincides with the theoretical value calculated by logarithmic rule of mixture. The blend of PPO and cross-linked triallyl isocyanurate is most effective for lowering the permittivity and loss tangent owing to the suppression of the orientation polarization of matrix. In contrast, 4,4'-(1,3-phenylene diisopropylidene) bisaniline, which has amine unit in its structure, increases the permittivity as well as loss tangent of the composite, but it has the ability to densify the matrix resin and the interfacial adhesion between the matrix and filler to improves flexural strength and modulus.

The Crystal and Molecular Structure of Acetone 4-Benzylthiosemicarbazone (Acetone 4-Benzylthiosemicarbazone의 결정 및 분자구조)

  • Park Young Ja;Ahn Choong Tai
    • Journal of the Korean Chemical Society
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    • v.29 no.2
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    • pp.73-79
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    • 1985
  • The crystal and molecular structure of acetone 4-benzylthiosemicarbazone, $C_{11}H_{15}N_3S$, has been determined by the single crystal X-ray diffraction methods. The crystals are monoclinic, space group $P2_1/c$ with unit cell dimensions, a = 10.249(7), b = 11.403(9), c = 10.149(7)TEX>${\AA}$, ${\beta}$ = 90.9$(1)^0$ and z = 4. The intensities were collected on an automatic four-circle diffractometer with graphite-monochromated Mo-$K_{\alpha}$ radiation. The structure was solved by direct methods and refined by full matrix least-squares methods. The final R was 0.045 for 1554 observed reflections. S-C(8)-N(2)-N(3)-C(9)-C(10) atoms make a zigzag planar chain. There are no unusual bond lengths and angles. There are two independent hydrogen bonds in the crystal structure. One is N-H${\cdots}$S intermolecular hydrogen bond with the length of 3.555${\AA}$ and makes dimer-like units. The other is N-H${\cdots}$N intramolecular hydrogen bond with the length of 2.568${\AA}$. The structure was compared with those of other thiosemicarbazone derivatives.

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