• Bulletin of the Korean Mathematical Society
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• v.26 no.2
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• pp.159-164
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• 1989

Let M be a hypersurface of dimension n(.geq.2) in an (n+1)-dimensional real space form over bar M(c) with constant curvature c and H the second fundamental tensor of M. M is said to be birecurrent if here exists a covariant tensor field .alpha. of order 2 such that .del.$^{2}$H=H .alpha., where .del. is the connection of M. Also, M is said to be recurrent if there exists a 1-form .betha. such that .del.H=H .betha.. Matsuyama [2] recently proved that a recurrent hypersurface M in a real space form is locally symmetric and a complete irreducible birecurrent hypersurface M in a real space form is recurrent. The main purpose of this paper is to characterize the birecurrent or recurrent hypersurface M of a Riemannian manifold with constant curvature c and to prove that M is classified as a cylinder, $M^{n}$ (c) or ( $c_{1}$)* $M^{n-r}$ ( $c_{2}$) where 1/ $c_{1}$+1/ $c_{2}$=1/c.

• Journal of the Korean Chemical Society
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• v.39 no.6
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• pp.434-439
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• 1995

Six-coordinate molybdenum(Ⅴ)-oxo complexes, (R4N)[MoO(NCS)2L](R=CH3, C2H5, n-C4, H9) with S-methyl-3-(2-hydroxy-x-phenyl)methylenedithiocarbazate(L1: x=5-H) and its derivatives (L2:x=5-CH3, L3: x=3-CH3O, L4: x=5,6-C4H4 and L5: x=5-NO2) have been synthesized and the structural, spectral and electrochemical properties of the complexes have been characterized by elemental analysis, molar conductivity, UV-Vis, IR, 1H NMR, and CV (cyclic voltammetry).

• Journal of Advanced Marine Engineering and Technology
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• v.36 no.5
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• pp.574-579
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• 2012

This paper presents the new cascade liquefaction cycles using $CO_2-C_2H_6-N_2$ and $CO_2-N_2$. The performance and exergy of cascade liquefaction cycles are analyzed using HYSYS software and then confirmed the possibility of these cycles for LNG-FPSO ship. From the comparison of performance and exergy loss of these cycles, the cascade liquefaction cycles using $CO_2-C_2H_6-N_2$ showed higher performance and the cycle using $CO_2-N_2$ presented higher exergy loss. The cascade liquefaction cycle using $CO_2-N_2$ is lower efficiency and higher compressor work compared to the optimized cascade liquefaction cycle using $C_3H_8-C_2H_4-C_1H_4$. But, if the efficiency of $N_2$ cycle in these liquefaction cycles is improved, it is possible to apply the cascade liquefaction cycle using $CO_2-C_2H_6-N_2$ and $CO_2-N_2$ to LNG-FPSO ship due to the simple composition device of these cycles.

• Bulletin of the Korean Chemical Society
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• v.32 no.11
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• pp.3873-3879
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• 2011

The potential energy surface (PES) for the isomerizations and dissociations of the acrylonitrile radical cation was determined from the CBS-QB3 and CBS-APNO calculations. The Rice-Ramsperger-Kassel-Marcus model calculations were performed based on the PES in order to predict the competitions among the dissociation channels. The mechanisms for the loss of $H^{\bullet}$, $H_2$, $CN^{\bullet}$, HCN, and HNC were proposed. The $C_3H_2N^+$ ion formed by loss of $H^{\bullet}$ was predicted as a mixture of $CH{\equiv}C-C=NH^+$, $CH{\equiv}C-N{\equiv}CH^+$, and $CH_2=C-C{\equiv}N^+$. Furthermore $CH{\equiv}C-C{\equiv}N^{+{\bullet}}$ was formed mainly by a consecutive 1,2-H shift and 1,2-H2 elimination.

• Analytical Science and Technology
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• v.20 no.4
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• pp.355-360
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• 2007

The title complex, $(C_3H_{12}N_2)[\{Cd(H_2O)(C_6H_5O_7)\}_2]{\cdot}6H_2O$, I, has been prepared and its structure characterized by FT-IR, EDS, elemental analysis, ICP-AES, and X-ray single crystallography. It is triclinic system, $P{\bar{1}}$ space group with a = 10.236(2), b = 11.318(2), c = $13.198(2){\AA}$, ${\alpha}=77.95(1)^{\circ}$, ${\beta}=68.10(1)^{\circ}$, ${\gamma}=78.12(1)^{\circ}$, V = $1373.5(3){\AA}^3$, Z = 2. Complex I has constituted by protonated 1,3-diaminopropane cations, citrate coordinated cadmium(II) anions, and free water molecules. The central cadmium atoms have a capped trigonal prism geometry by seven coordination with six oxygen atoms of three different citrate ligands and one water molecule. Citrate ligands are bridged to three different cadmium atoms. Each cadmium atom is linked by carboxylate and hydroxyl groups of citrate ligand to construct an one-dimensional ladder-type assembly structure. The polymeric crystal structure is stabilized by three-dimensional networks of the intermolecular O-H${\cdots}$O and N-H${\cdots}$O hydrogen-bonding interaction.

• Bulletin of the Korean Chemical Society
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• v.27 no.11
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• pp.1839-1843
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• 2006

Hydrothermal reactions of $Ln(NO_3)_3{\cdot}5H_2O $ (Ln = Eu (1), Sm (2), Ho (3), Dy (4)) with 3,5-pyridinedicarboxylic acid (3,5-pdcH2) in the presence of 4,4'-bipyridine led to the formation of the 3-D Ln(III)-coordination polymers with a formula unit of $[Ln_2(3,5-pdc)_2(C_2O_4)(H_2O)_4]{\cdot}2H_2O$. These polymers contain a bridging oxalate ligand ($C_2O_4\;^2$). On the basis of GCMS study of the mother liquor remaining after the reaction, we proposed that the $C_2O_4\;^2$ formation proceeds in three steps: (1) Ln(III)-mediated decarboxylation of $3,5-pdcH_2$ to give $CO_2$, (2) the reduction of $CO_2$ to $CO_2\;^{\cdot}$ by the Ln(II) species, and (3) the reductive coupling of the two $CO_2\;^{\cdot}$ radicals to the oxalate ($C_2O_4\;^2$) ion. All polymers were structurally characterized by X-ray diffraction.

• Korean Journal of Crystallography
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• v.8 no.1
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• pp.1-5
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• 1997

The crystal structure of the title compound consists of discrete 4-N,N-dimethylamino-4'-N'-methyl-stilbazolium, $C_{16}H_{19}N_2$, and tosylate, $C_7H_7SO_3$, dimer. The 4-N,N-dimethylamino-4'-N'-methyl-stilbazolium molecule has a trans conformation at the central C=C double bond: the dihedral angle between the phenyl and the pyridyl rings is $5.7(2)^{\circ}$ and the whole molecule is planar within $0.138(8){\AA}$. Tosylate molecules display hydrogen-bonded dimers with the O-H...O distances of 2.855(9) and $2.899(8){\AA}$, respectively. The shortest intermolecular contact is the distance $3.10(1){\AA}$ between O(3) and C(16).

• Bulletin of the Korean Chemical Society
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• v.14 no.6
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• pp.669-673
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• 1993

The CO substitution reactions of the complex, $Cp(S-2,4-Me_2C_5H_5)CrCo$ with $PR_3(PR_3=PMePh_2,\;P(OCH_3)_3,\;PMe_2Ph)$ were investigated spectrophotometrically at various temperatures. From the reaction rates, it was suggested that the CO substitution reaction took place by first-order (dissociative) pathway. Activation parameters in decaline were ${\Delta}H^{\neq}\;=\;22.0\;kcal{\cdot}mol^{-1}$, ${\Delta}S^{\neq}=\;-3.8cal{\cdot}mol^{-1}{\cdot}K^{-1}$. Unusually low value of ${\Delta}S{\neq}$ suggests an ${\eta}^5-S{\to}{\eta}^5-U$ conversion of the pentadienyl ligand. This suggestion was confirmed by the Extended-Huckel molecular orbital (EHMO) calculations, which revealed that the total energy of $Cp(S-2,4-Me_2C_5H_5$)CrCO is about 0.42 kcal/mol more lower than that of $Cp(U-2,4-Me_2C_5H_5)CrCO$ and the energy of $[Cp(U-2,4-Me_2C_5H_5)Cr{\cdots}CO]^{\neq} $ transition state is about 2.43 kcal/mol lower than that of $[Cp(S-2,4-Me_2C_5H_5)Cr{\cdots}CO]^{\neq}$ transition state.

• Bulletin of the Korean Chemical Society
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• v.30 no.2
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• pp.445-448
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• 2009

This study examined the effect of the uptake of one and two electrons on the atomic structure of three isomers of $C_{20}$ clusters, namely the ring, bowl (corannulene like), and cage (the smallest fullerene). Geometry optimizations were performed using the hybrid density functional (B3LYP) methods for neutral, singly and doubly charged $C_{20},\;{C_{20}}^-,and\;{C_{20}}^{2-}$. These results show that the symmetry of the lowest energies for ring and bowl isomers were not changed, whereas the increasing order of energy for the cage (the smallest fullerene) isomers was changed from $D_{2h}\;<\;C_{2h}\;{\leq}\;C_2\;of\;C_{20}\;through\;Ci\;<\;C_{2h}\;<\;C_2\;<\;D_{2h}\;of\;{C_{20}}^-\;to\;Ci\;<\;C_2\;<\;D_{2h}\;<\;C_{2h}\;of\;{C_{20}}^{2-}$. The reduced symmetry isomers of the cage have comparative energy and the ground state symmetry of the neutral and single and double charged $C_{20}$ decreased with increasing number of electrons taken up in the point of energetics. Interestingly, the difference in energy between the ground state and the next higher energy state of ${C_{20}}^{2-}$ was 3.5kcal/mol, which is the largest energy gap of the neutral, single anion and double anion of the cage isomers examined.

• Analytical Science and Technology
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• v.11 no.1
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• pp.8-12
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• 1998

The 2,2'-Biimidazole was synthesized by the reaction between glycol and ammonium solution. The correct solid structure of 2,2'-biimidazole in this method reported either trans ($C_{2h}$) or cis ($C_{2v}$) form. In this study, the correct structure of 2,2'-biimidazole was analysed by both FTIR and Raman spectroscopy using mutual exclusion properties of them. Also, it was analysed by $^1H$ and $^{13}C$ NMR and computer molecular modeling. The structure of 2,2'-biimidazole found to be trans ($C_{2h}$) than cis ($C_{2v}$) by comparison between FTIR and Raman Spectra. This results agree with computer molecular modeling and x-ray crystallography. This study provide good evidence for identifying structural orientation of the 2,2'-biimidazole containing pyridyl nitrogen.