• Title/Summary/Keyword: R-113

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New Transition Metal Mediated Alkylation Reaction of arachno-$S_{2}B_{7}H_{8}$, Insertion Reaction of arachno-$S_{2}B_{7}H_{8}^{-}$ with $(CO)_{5}M$ {${C(R_{1})(R_{2})}$} $(M=Cr,\;W;\;R_{1}=CH_{3},\;C_{6}H_{5};\;R_{2}=OCH_{3},\;SC_{6}H{5})$: Synthesis and Characterization of arachno-$4-RCH_{2}-6,8-S_{2}B_{7}H_{8}\;(R=CH_{3},\;IIa;\;C_{6}H_{5},\;IIb)$

  • Hee-Joo Jeon;Jae-Jung Ko;Kang-bong Lee;Sang Ook Kang
    • Bulletin of the Korean Chemical Society
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    • v.14 no.1
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    • pp.113-117
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    • 1993

  • Good yield synthetic routes for the production of new B-alkyl-dithiaborane clusters are reported. The syntheses of the B-alkyl-dithiaboranes are based on the use of Fischer-type carbene reagents to activate the B-H bonds of dithiaborane for alkyl-addition reactions and are the first examples of transition-mediated reactions of dithiaborane to be reported. Thus, reactions employing arachno-$S_2B_7H_8$- and $(CO)_5M{C(R_1)R_2}$ (M = Cr, W; $R_1 = CH_3,\;C_6H_5;\; R_2 = OCH_3,\;SC_6H_5)$ were found to yield the intermidiate anions I, $[(CO)_5M{C(R_1)R_2S_2B_7H_8}]^-$, which upon protonation gave the corresponding neutral, air-sensitive cluster arachno-4-$RCH_2-6,8-S_2B_7H_8(R=CH_3,\;IIa;\;C_6H_5,\;IIb)$ range from 30 to 35% yield. Complexes IIa and IIb are isoelectronic with arachno-6,8-$S_2B_7H_9$ and, on the basis of the spectroscopic data, are proposed to adopt a similar arachno cage geometry in which an $RCH_2$ units are substituted to 4 position boron atom of the arachno-6,8-$S_2B_7H_9$.

  • https://doi.org/10.5012/bkcs.1993.14.1.113 인용 PDF

AN OVERVIEW OF MAX-PLUS LINEAR SYSTEMS

  • Kim, Yong-Gu;Shin, Hyun-Hee
    • Honam Mathematical Journal
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    • v.33 no.1
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    • pp.93-113
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    • 2011

  • Let $a{\oplus}b$ = max(a, b), $a{\otimes}b$=a+b, a, $b\in\mathbb{R}_{\varepsilon}\;:=\cup\{-\infty\}$. In max-plus algebra we work on the linear algebra structure for the pair of operations (${\oplus},{\otimes}$) extended to matrices and vectors over $\mathbb{R}_{\varepsilon}$. In this paper our main aim is to reproduce the work of R. A. Cuninghame-Green [3] on the linear systems over a max-plus semi-field $\mathbb{R}_{\varepsilon}$.

  • https://doi.org/10.5831/HMJ.2011.33.1.093 인용 PDF KSCI