• Title/Summary/Keyword: Sigma Space

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Crystal Structures of Vacuum Dehydrated Fully $Cd^{2+}$-Exchanged Zeolite A and Its Ethylene Sorption Complex

  • Kwang Nak Koh;Un Sik Kim;Duk Soo Kim;Yang Kim
    • Bulletin of the Korean Chemical Society
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    • v.12 no.2
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    • pp.178-181
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    • 1991
  • The crystal structure of dehydrated fully $Cd^{2+}$-exchanged zeolite A evacuated at $2{\times}10^{-6}$ Torr and $450^{\circ}C (a = 12.225(2){\AA})$ and of its ethylene sorption complex (a = 12.219(2) ${\AA}$) have been determined by single crystal X-ray diffraction techniques in the cubic space group Pm3m at $21(1)^{\circ}$. The structures were refined to final error indices, $R_1$ = 0.063 and $R_2$ = 0.065 with 266 reflections and $R_1$ = 0.055 and $R_2$ = 0.062 with 260 reflections, respectively, for which $I{\gg}3{\sigma}(I)$. In both structures, six $Cd^{2+}$ ions lie at two distinguished three-fold axes of unit cell. Dehydrated $Cd_6$-A sorbs 4 ethylene molecules per unit cell at $25^{\circ}C$ (vapor pressure of ethylene is ca. 100 Torr). Each $Cd^{2+}$ ion forms a lateral ${pi}$ complex with an ethylene molecule. Four $Cd^{2+}$ ions exist in a nearly tetrahedral environment, 2.210(7)${\AA}$ apart from three framework oxygen ions (considering ethylene molecule as a monodentate ligand) and $2.67(6){\AA}$ from each carbon atom of ethylene molecule.

Crystallographic Evidence for the Reduction of CO in Partially Dehydrated Silver Zeolite A

  • Kim, Yang;Song, Seong-Hwan;Seff, Karl
    • Bulletin of the Korean Chemical Society
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    • v.10 no.3
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    • pp.230-234
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    • 1989
  • The crystal structure of $Ag^+$-exchanged zeolite A vacuum-dehydrated at $370^{\circ}C$ and then treated with carbon monoxide at $$23^{\circ}C$ has been determined by single crystal x-ray diffraction methods in the cubic space group Pm3m at $23^(1){\circ}C$ ; a = 12.116 (2)${\AA}$. The structure was refined to the final error indices $R_1\;=\;0.061\;and\;R_2$(weighted) = 0.068 using 349 independent reflections for which I > 3${\sigma}(I).\;3.6\;Ag_+-CO$ complexes, where -CO may represent -CHO or -$CH_2OH$, were found in each large cavity. By coordination to silver atoms followed by reaction with $Ag^{\circ}and\;H^+$ within the zeolite, carbon monoxide has been partially reduced. In about 28% of the sodalite units, a $Ag_6(Ag^+)_2$ cluster may be present. In about 37% of the sodalite units, three $Ag^+$ ions are found on threefold axes where they may be bridged by three water molecules. The remaining 35% of the sodalite units are empty of silver species. Two $Ag^+$ ions per unit cell are associated with 8-ring oxygens. The remaining ca $$3Ag^+$ ions per unit cell have been reduced during the synthesis and have migrated to form small silver crystallities on the surface of the zeolite single crystal.

Two Crystal structures of Fully Dehydrated Partially Magnesium Exchanged Zeolite A, $Mg_{1.5}Na_9-A\;and\;Mg{2.5}Na_7$-A

  • Kim, Yang;Lee, Suk-Hee;Park, Jong-Yul;Kim, Un-Sik
    • Bulletin of the Korean Chemical Society
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    • v.10 no.4
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    • pp.349-352
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    • 1989
  • Two Crystal structures of fully dehydrated partially magnesium exchanged zeolite A, stoichiometries of $Mg_{2.5}Na_7-A$ (a = 12.251 (1) ${\AA}$) and $Mg_{1.5}Na_9-A\; (a\;=\;12.214(1)\;{\AA})$ per unit cell, have been determined from the 3-dimensional X-ray diffraction data gathered by counter methods. All structures were solved and refined in the cubic space group Pm3m at 21(1)$^{\circ}C$. The structures of the dehydrated $Mg_{2.5}Na_7-A$ and $Mg_{1.5}Na_9-A$ were refined to yield the final error indices $R_1$ = 0.042 and $R_2$ = 0.049 with 318 reflections, and $R_1$ = 0.034 and $R_2$ = 0.032 with 252 reflections, respectively, for which I > $3{\sigma}(I)$. Both structures indicate that $Mg^{2+}$ ions are coordinated by three framework oxygens and the angle substended at $Mg^{2+}$ ions, O(3)-Mg(1)-O(3) is ca. $120^{\circ}$, close to the idealized trigonal planar value. $Mg^{2+}$ ions preferentially occupy 6-ring sites and $Na^+$ ions occupy 8-ring sites when total number of cations per unit cell is more than 8.

Preparation and Structure of Re$({\equiv}NC_6H_5)(CO)(PPh_3)Cl_3$

  • Young-Woong Kim;Jun-Ho Jung;Soon W. Lee
    • Bulletin of the Korean Chemical Society
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    • v.15 no.2
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    • pp.150-153
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    • 1994
  • By treating mer, trans-Re(${\equiv}NC_6H_5)(PPh_3)_2Cl_3$, Ⅰ, with 5 atm of CO at room temperature for 52 h, fac-Re(${\equiv}NC_6H_5)(CO)(PPh_3)Cl_3$, Ⅱ, was obtained as dark green precipitates in 81% yield. The crystal structure of Ⅱ was determined through X-ray diffraction. Ⅱ crystallizes in the monoclinic system, space group $P2_1/n$ with cell parameters a=9.740 (2) ${\AA}$, b=16.210 (5) ${\AA}$, c=16.192 (6) ${\AA}$, ${\beta}$=97.50 $(2)^{\circ}$, and Z=4. Least-squares refinement of the structure led to a R$(R_w)$ factor of 0.030 (0.036) for 2878 unique reflections of I>3${\sigma}(I)$ and for 241 variables. In comparison to the starting material Ⅰ, the bond distance of Re-N became longer from 1.726 (6) to 1.736 (5) ${\AA}$ and the bond angle of Re-N-C(Ph) became smaller from 172.6 (6) to 167.0 $(2)^{\circ}$, indicating that the Re-N bond in Ⅱ is weakened and has a less triple-bond character than that in Ⅰ.

Publication Trends in the Pelvic Parameter Related Literature between 1992 and 2022 : A Bibliometric Review

  • Serdar Yuksel;Emre Ozmen;Alican Baris;Esra Circi;Ozan Beytemur
    • Journal of Korean Neurosurgical Society
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    • v.67 no.1
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    • pp.50-59
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    • 2024
  • Objective : This study aimed to conduct a bibliometric analysis on pelvic parameter related research over the last 30 years, analyzing trends, hotspots, and influential works within this field. Methods : A comprehensive Web of Science database search was performed. The search yielded 3249 results, focusing on articles and reviews published from 1992 to 2022 in English. Data was analyzed using CiteSpace and VOSviewer for keyword, authorship, and citation burst analysis, co-citation analysis, and clustering. Results : The number of publications and citations related to pelvic parameters has increased exponentially over the last 30 years. The USA leads in publication count with 1003 articles. Top publishing journals include the European Spine Journal, Spine, and Journal of Neurosurgery: Spine, with significant contributions by Schwab, Lafage V, and Protoptaltis. The most influential articles were identified using centrality and sigma values, indicating their role as key articles within the field. Research hotspots included spinal deformity, total hip arthroplasty, and sagittal alignment. Conclusion : Interest in pelvic parameter related research has grown significantly over the last three decades, indicating its relevance in modern orthopedics. The most influential works within this field have contributed to our understanding of spinal deformity, pelvic incidence, and their relation to total hip arthroplasty. This study provides a comprehensive overview of the trends and influential research in the field of pelvic parameters.

The Cross-Sectional Characteristic and Spring-Neap Variation of Residual Current and Net Volume Transport at the Yeomha Channel (경기만 염하수로에서의 잔차류 및 수송량의 대조-소조 변동과 단면 특성)

  • Lee, Dong Hwan;Yoon, Byung Il;Woo, Seung-Buhm
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.29 no.5
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    • pp.217-227
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    • 2017
  • The object of this study is to estimate the net volume transport and the residual flow that changed by space and time at southern part of Yeomha channel, Gyeonggi Bay. The cross-section observation was conducted at the mid-part (Line2) and the southern end (Line1) of Yeomha channel for 13 hours during neap and spring-tides, respectively. The Lagrange flux is calculated as the sum of Eulerian flux and Stokes drift, and the residual flow is calculated by using least square method. It is necessary to unify the spatial area of the observed cross-section and average time during the tidal cycle. In order to unify the cross-sectional area containing such a large vertical tidal variation, it was necessary to convert into sigma coordinate system by horizontally and vertically for every hour. The converted sigma coordinate system is estimated to be 3~5% error when compared with the z-level coordinate system which shows that there is no problem for analyzing the data. As a result, the cross-sectional residual flow shows a southward flow pattern in both spring and neap tides at Line2, and also have characteristic of the spatial residual flow fluctuation: it northwards in the main line direction and southwards at the end of both side of the waterway. It was confirmed that the residual flow characteristics at Line2 were changed by the net pressure due to the sea level difference. The analysis of the net volume transport showed that it tends to southwards at $576m^3s^{-1}$, $67m^3s^{-1}$ in each spring tide and neap tide at Line2. On the other hand, in the control Line1, it has tendency to northwards at $359m^3s^{-1}$ and $248m^3s^{-1}$. Based on the difference between the two observation lines, it is estimated that net volume transport will be out flow about $935m^3s^{-1}$ at spring tide stage and about $315m^3s^{-1}$ at neap tide stage as the intertidal zone between Yeongjong Island and Ganghwa Island. In other words, the difference of pressure gradient and Stokes drift during spring and neap tide is main causes of variation for residual current and net volume transport.

The Effect of Equatorial Spread F on Relative Orbit Determination of GRACE Using Differenced GPS Observations (DGPS기반 GRACE의 상대궤도결정과 Equatorial Spread F의 영향)

  • Roh, Kyoung-Min;Luehr, Hermann;Park, Sang-Young;Cho, Jung-Ho
    • Journal of Astronomy and Space Sciences
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    • v.26 no.4
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    • pp.499-510
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    • 2009
  • In this paper, relative orbit of Low Earth Orbit satellites is determined using only GPS measurements and the effects of Equatorial Spread-F (ESF), that is one of biggest ionospheric irregularities, are investigated. First, relative orbit determiation process is constructed based on doubly differenced GPS observations. In order to see orbit determination performance, relative orbit of two GRACE satellites is estimated for one month in 2004 when no ESF is observed. The root mean square of the achieved baselines compared with that from K-Band Ranger sensor is about 2~3 mm and average of 95% of ambiguities are resolved. Based on this performance, the relative orbit is estimated for two weeks of two difference years, 2003 when there are lots of ESF occurred, and 2004 when only few ESF occurred. For 2003, the averaged baseline error over two weeks is about 15 mm. That is about 4 times larger than the case of 2004 (3.6 mm). Ionospheric status achieved from K-Band Ranging sensor also shows that more Equatorial Spread-F occurred at 2003 than 2004. Investigation on raw observations and screening process revealed that the ionospheric irregualarities caused by Equatorial Spread-F gave significant effects on GPS signal like signal loss or enhancement ionospheric error, From this study, relative orbit determination using GPS observations should consider the effect of Equatorial Spread-F and adjust orbit determination strategy, especially at the time of solar maximum.

The Crystal and Molecular Structure of Dipropargyldiphenylmethane (디프로파질디페닐메탄의 결정 및 분자구조)

  • Ahn Choong Tai;Choi Sam-Kwon
    • Journal of the Korean Chemical Society
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    • v.37 no.5
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    • pp.473-476
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    • 1993
  • Dipropargyldiphenylmetane, $C_{19}H_{16}, crystallizes in a monoclinic space group $C2/_c$$ with a = 11304(3), b = 20.799(5), c = 6.622(2)${\AA}$, ${\beta} = 112.8(3)^{\circ}$, Z = 4, V = 1435.3${\AA}^3,\;F(000)\;=\;520,\;D_c\;=\;1.14g{\cdot}cm^{-3}$ and ${\mu}\;=\;0.32\;cm^{-1}$. The structure was solved by direct methods and all non-H atoms were identified in the E-map. The final refinement gave R = 0.055 from 1328 unique observed reflections with I $\geq$ -1.0 $\sigma(I).$ The molecule belongs to the point group $C_2$ of Symmetry by possessing the 2-fold axis which coincides witeh the crystallographic symmetry axis in the unit cell. The linear propargyl moiety is nearly $perpendicular(94.2)^{\circ}$ to the molecular plane of the benzene ring. The internal angle of methane carbon atoms in $108.1(1)^{\circ}$, bonding to the benzene and the propargyl moiety with the bond lengths of 1.530(2) and $1.560(2)\AA$, respectively. The shortest contant between the molecules is $3.538(2)\AA$ between C(9) and C(9) (-x, y, -1/2-z).

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The Statistical Model of Fourier Acceleration Spectra according to Seismic Intensities for Earthquakes in Korea (국내 지진의 진도별 가속도 푸리에스펙트럼 통계모델)

  • Yun, Kwan-Hee;Pakr, Dong-Hee;Park, Se-Moon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.13 no.6
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    • pp.11-25
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    • 2009
  • A method of instrumentally estimating the seismic intensity (MMI) based on Fourier Acceleration Spectrum, which is the so-called 'FAS MMI method' of Sokolov and Wald (2002), was considered for its applicability to Korea. In order to implement the FAS MMI method, the empirical models of mean (m) and standard deviation (${\sigma}$) for Korea were derived for MMI ${\leq}$ IV according to individual seismic intensity by using the site-consistent horizontal FAS of 580 records from 65 isoseismal maps prepared based on the reported MMI of Korea Meteorological Administration. The site-consistent FAS at a site were obtained by correcting the observed FAS for the difference of the site amplification function relative to that of the target site of Class D station (Yun and Suh, 2007) which was evaluated to be a representative site for the generic soil profile of Korea. The FAS m model for MMI ${\leq}$ IV follows the overall linear relation in log space according to seismic intensities, featuring the FAS mean model for MMI = IV similar to that of the global model of Sokolov and Wald (2002). The ${\sigma}$-values of the FAS model are found to be greater than those of the global model for MMI ${\geq}$ V, while significantly lower than those of the global model for MMI = IV.

Crystallographic Studies of Dehydrated Zeolite-X Reacting with Rubidium Vapor (루비듐 증기로 처리한 탈수한 제올라이트 X의 결정학적 연구)

  • Han, Young Wook
    • Journal of the Mineralogical Society of Korea
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    • v.6 no.2
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    • pp.116-121
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    • 1993
  • A single crystla of zeolite $Na_{78}Rb_{28}-X$ (approximate composition) was prepared by exposing $Na_{92}-X$ at $350^{\circ}C$ to 0.1 Torr of rubidium vapor, and its structure was determined by single-crystal x-ray diffraction methods in the cubic space group, Fd3, ${\alpha}=25.045(4){\AA}$. The structure was refined to the final error indices $R_1=0.082$ and $R_2=0.084$ with 353 for which I>$3{\sigma}(I)$. Only about 28 of the 92 $Na^+$ ions per unit cell were reduced and only about 14 of the 28 $Na^0$ atoms produced were retained within the zeolite. A $Na_5{^{4+}}$ cluster is present within each sodalite cavity. It is a centered tetrahedron (like $CH_4$) with bond $length=2.80(2){\AA}$ and angle tetrahedral by symmetry, and shows the full symmetry of its site. $T_d$, at the center of the sodalite cavity. Each of the four terminal atoms of the $Na_5{^{4+}}$ cluster bond to three framework oxygens at $2.36(2){\AA}$. At the centers of some double 6-rings are sodium atoms which bridge linearly between $Na_5{^{4+}}$ clusters to form agglomerations such as short zig-zag chains $Na_5{^{4+}}$ clusters. Delocalized electrons, located primarily on the sodiums at centers of the sodalite and (likely) double-six-ring cavities, contribute to the stability of the clusters.

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