• 제목/요약/키워드: complex geometry

검색결과 745건 처리시간 0.03초

Synthesis, Structure, and Peroxidase Activity of an Octahedral Ru(III) Complex with a Tripodal Tetraamine Ligand

  • Cho, Jang-Hoon;Kim, Kwan-Mook;Noh, Dong-Youn;Lee, Hong-In
    • Bulletin of the Korean Chemical Society
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    • 제32권11호
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    • pp.3904-3908
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    • 2011
  • A new octahedral Ru(III) complex with a tripodal tetraamine ligand, tpea = tris[2-(1-pyrazoyl)ethyl]amine, has been prepared and characterized. The single crystal X-ray crystallographic study of the complex revealed that the complex has a near octahedral geometry with the tetradentate ligand and two chloride ions. Peroxidase activity was examined by observing the oxidation of 2,2'-azinobis(3-ethylbenzothiazoline)-6-sulfonic acid (ABTS) with hydrogen peroxide in the presence of the complex. Amount of $ABTS^{+{\bullet}}$ generated during the reaction was monitored by UV/VIS and EPR spectroscopies. After the initiation of the peroxidase reaction, $ABTS^{+{\bullet}}$ concentration increases and then decreases after certain time, indicating that both ABTS and $ABTS^{+{\bullet}}$ are the substrates of the peroxidase activity of the Ru(III) complex.

ON THE GEOMETRY OF COMPLEX METALLIC NORDEN MANIFOLDS

  • Blaga, Adara Monica;Kumar, Rakesh;Rani, Rachna
    • 대한수학회보
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    • 제59권5호
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    • pp.1069-1091
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    • 2022
  • We study almost complex metallic Norden manifolds and their adapted connections with respect to an almost complex metallic Norden structure. We study various connections like special connection of the first type, special connection of the second type, Kobayashi-Nomizu metallic Norden type connection, Yano metallic Norden type connection etc., on almost complex metallic Norden manifolds. We establish classifications of almost complex metallic Norden manifolds by using covariant derivative of the almost complex metallic Norden structure and also by using torsion tensor on the canonical connections.

바나듐(V)-니크릴로트리아세테이트 착물의 X-선 및 핵자기공명 연구 (X-Ray and NMR Studies of Vanadium(V)-Nitrilotriacetate Complex)

  • 이만호;정우원
    • 분석과학
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    • 제10권3호
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    • pp.196-202
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    • 1997
  • 새로운 바나듐(V) 착물인 $(NH_4)_2[VO_2NTA]$를 합성한 후, 용액 및 고체핵자기공명분광법 및 X-선회절법으로 그 구조를 측정하였다. 그 결과 단사결정구조(space group=$P2_1/n$)의 이 착물의 단위세포는 4 착물을 가지고 있으며, 그 파라미터는 다음과 같다 : $a=6.923(1){\AA}$, $b=8.824(2){\AA}$, $c=19.218(11){\AA}$, ${\beta}=91.60(3)^{\circ}$, 용액 및 고체에서 이 착물의 $[VO_2NTA]^{2-}$ 이온은 시스-$VO_2$ 단위를 가진 찌그러진 팔면체 구조를 가지고 있음을 알 수 있었다.

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디지털 오너먼트의 패턴생성기법 및 표현특성 연구 (A Study of Pattern Generation Technique & Expressive Characteristics of Digital Ornament)

  • 한혜신;김문덕
    • 한국실내디자인학회논문집
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    • 제19권5호
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    • pp.83-94
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    • 2010
  • Conventionally, ornament has developed around linear thinking based on Euclidean geometry, and been explained as simple and lucid natural Euclidean geometrical phenomena. The modular arrangement with vertical, horizontal and diagonal grids has been an organizing principle of classical ornament, but in digital era ornament is found not to be explained only with the principle of traditional arrangement due to the seemingly irregular complex forms. In that sense, this study presents the concept of digital ornament and examined the backgrounds of ornament in digital age, that are complex system and non-Euclidean geometry. Accordingly, the present study takes an approach by dividing new formal types of ornament into algorithmic form, hybrid form and dynamic form to find out a principle of pattern organization. Lately, architects who actively use computer for their architectural designs take the algorithmic strategies in nature and create various and complex patterns by simple rules. The patterns are not the repetition of the same, but the production of singularities. In addition, hybrid form by morphing shows a topologically flexible evolutionary transformation, and is used to create in-between transitional shapes from the source to target. Finally, the patterns by the interaction between the system components which are corresponded to the embedded forces emerge from dynamic simulation of the natural environment. Rather than objects itself, focus is given to the process of generating forms, and the ornamental patterns as the revelation of such implicit order provide not just the formal beauty but also spatial pathways for lights and air, maximizing the effects of lights.

Quantum Chemical Studies on Nicotinato Lead(II) Complex [Pb(II)(C5H4NCOO)2]

  • Zhao, Pu Su;Li, Rong Qing;Song, Jie;Guo, Meng Ping
    • Bulletin of the Korean Chemical Society
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    • 제29권3호
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    • pp.546-550
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    • 2008
  • The title compound of nicotinato lead(II) complex [Pb$(C_5H_4NCOO)_2$] has been optimized at B3LYP/LANL2DZ and HF/LANL2DZ levels of theory. The calculated results show that the lead(II) ion adopts 2- coordinate geometry, which is the same as its crystal structure and different from the 4-coordinate geometry of isonicotinato lead(II) complex. Atomic charge distributions indicate that during forming the title compound, each nicotinic acid ion transfers their negative charges to central lead(II) ion. The electronic spectra calculated by B3LYP/LANL2DZ level show that there exist two absorption bands, which have some red shifts compared with those of isonicotinato lead(II) complex and the electronic transitions are mainly derived from intraligand $\pi$ -$\pi$ transition and ligand-to-metal charge transfer (LMCT) transition. CIS-HF method is not suitable for the system studied here. The thermodynamic properties of the title compound at different temperatures have been calculated and corresponding relations between the properties and temperature have also been obtained. The second order optical nonlinearity was calculated, and the molecular hyperpolarizability was $1.147754{\times}10^{-30}$ esu.

Structural and Magnetic Properties of Monomeric and Dimeric Copper(II) Complexes with Phenyl-N-[(pyridine-2-yl)methylene]methaneamide

  • Lee, Hong-Woo;Sengottuvelan, Nallathambi;Seo, Hoe-Joo;Choi, Jae-Soo;Kang, Sung-Kwon;Kim, Young-Inn
    • Bulletin of the Korean Chemical Society
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    • 제29권9호
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    • pp.1711-1716
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    • 2008
  • The reaction of copper(II) chloride with phenyl-N-[(pyridine-2-yl)methylene]methaneamide (ppmma) leads to a new $\mu$ -chloro bridged dimeric [Cu(ppmma)$Cl_2$]$_2$ complex, whereas a reaction of copper(II) bromide with ppmma affords a monomeric Cu(ppmma)$Br_2$ complex. Both complexes have been characterized by X-ray crystallography and electronic absorption spectroscopy. The crystal structural analysis of [Cu(ppmma)$Cl_2$]$_2$ shows that the two Cu(II) atoms are bridged by two chloride ligands, forming a dimeric copper(II) complex and the copper ion has a distorted square-pyramidal geometry ($\tau$ = 0.2). The dimer units are held through a strong intermolecular $\pi-\pi$ interactions between the nearest benzyl rings. On the other hand, Cu(ppmma)Br2 displayed a distorted square planar geometry with two types of strong intermolecular π-π interaction. EPR spectrum of [Cu(ppmma)$Cl_2$]$_2$ in frozen glas s at 77 K revealed an equilibrium between the mononuclear and binuclear species. The magnetic susceptibilities data of [Cu(ppmma)$Cl_2$]$_2$ and Cu(ppmma)$Br_2$ follow the Curie-Weiss law. No significant intermolecular magnetic interactions were examined in both complexes, and magnetic exchange interactions are discussed on the basis of the structural features.

펄프·제지 산업에서의 프랙탈 기하 원리 및 그 응용 (The Principles of Fractal Geometry and Its Applications for Pulp & Paper Industry)

  • 고영찬;박종문;신수정
    • 펄프종이기술
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    • 제47권4호
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    • pp.177-186
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    • 2015
  • Until Mandelbrot introduced the concept of fractal geometry and fractal dimension in early 1970s, it has been generally considered that the geometry of nature should be too complex and irregular to describe analytically or mathematically. Here fractal dimension indicates a non-integer number such as 0.5, 1.5, or 2.5 instead of only integers used in the traditional Euclidean geometry, i.e., 0 for point, 1 for line, 2 for area, and 3 for volume. Since his pioneering work on fractal geometry, the geometry of nature has been found fractal. Mandelbrot introduced the concept of fractal geometry. For example, fractal geometry has been found in mountains, coastlines, clouds, lightning, earthquakes, turbulence, trees and plants. Even human organs are found to be fractal. This suggests that the fractal geometry should be the law for Nature rather than the exception. Fractal geometry has a hierarchical structure consisting of the elements having the same shape, but the different sizes from the largest to the smallest. Thus, fractal geometry can be characterized by the similarity and hierarchical structure. A process requires driving energy to proceed. Otherwise, the process would stop. A hierarchical structure is considered ideal to generate such driving force. This explains why natural process or phenomena such as lightning, thunderstorm, earth quakes, and turbulence has fractal geometry. It would not be surprising to find that even the human organs such as the brain, the lung, and the circulatory system have fractal geometry. Until now, a normal frequency distribution (or Gaussian frequency distribution) has been commonly used to describe frequencies of an object. However, a log-normal frequency distribution has been most frequently found in natural phenomena and chemical processes such as corrosion and coagulation. It can be mathematically shown that if an object has a log-normal frequency distribution, it has fractal geometry. In other words, these two go hand in hand. Lastly, applying fractal principles is discussed, focusing on pulp and paper industry. The principles should be applicable to characterizing surface roughness, particle size distributions, and formation. They should be also applicable to wet-end chemistry for ideal mixing, felt and fabric design for papermaking process, dewatering, drying, creping, and post-converting such as laminating, embossing, and printing.