• Title/Summary/Keyword: splitting field

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Theoretical Calculation of Zero Field Splitting of $Mn^{2+}$ Ion in $LiTaO_3$Crystal

  • Yeom, T.H;Lee, S.H
    • Journal of Magnetics
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    • v.6 no.3
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    • pp.77-79
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    • 2001
  • The semi-empirical superposition model has been applied to calculate the zero field splitting parameters of $Mn^{2+}$ion in $LiTaO_3$ single crystal, assuming that $Mn^{2+}$ion occupies one of two possible sites: $Li^{l+} \;or\; Ta^{5+}$ site, respectively. The 2nd-order axial zero field splitting parameters are $958\times10^{-4}cm^{-1}\; at\; Li^{1+}$ site and $193\times 10^{-4}cm^{-1} \;at\; Ta^{5+}$ site for $Mn^{2+}$ions. The 4th-order zero field splitting parameters at $Li^{l+} \;and\; Ta^{5+}$ sites are also determined. These calculated zero field splitting parameters are very important to determine the substitutional sites of doped impurity ions in $LiTaO_3$ crystal.

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Calculation of the Cubic Crystal Field Splitting 10 Dq in KNiF$_3$. An Integral Hellmann-Feynman Approach (Integral Hellmann-Feynman Approach에 의한 KNiF$_3$의 Cubic Crystal Field Splitting 10 Dq의 계산)

  • Hojing Kim;Hie-Joon Kim
    • Journal of the Korean Chemical Society
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    • v.17 no.6
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    • pp.395-405
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    • 1973
  • By use of an Integral Hellmann-Feynman formula, the cubic crystal field splitting 1O Dq in $KNiF_3$ is calculated from first principles. Numerical values of covalency parameters and necessary integrals are quoted from Sugano and Shulman. The result, 7100$cm^{-1}$, is in excellent agreement with the observed value, 7250$cm^{-1}$. It is found that higher order perturbation energy correction is of the same order of magnitude as 10 Dq itself and is, therefore, essential tin calculating 10 Dq from first principles. It is also found that the point charge potential is the dominant part of the crystal field potential.

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Splitting method for the combined formulation of fluid-particle problem

  • Choi, Hyung-Gwon;Yoo, Jung-Yul;Jeoseph, D.D.
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.709-714
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    • 2000
  • A splitting method for the direct numerical simulation of solid-liquid mixtures is presented, where a symmetric pressure equation is newly proposed. Through numerical experiment, it is found that the newly proposed splitting method works well with a matrix-free formulation fer some bench mark problems avoiding an erroneous pressure field which appears when using the conventional pressure equation of a splitting method. When deriving a typical pressure equation of a splitting method, the motion of a solid particle has to be approximated by the 'intermediate velocity' instead of treating it as unknowns since it is necessary as a boundary condition. Therefore, the motion of a solid particle is treated in such an explicit way that a particle moves by the known form drag (pressure drag) that is calculated from the pressure equation in the previous step. From the numerical experiment, it was shown that this method gives an erroneous pressure field even for the very small time step size as a particle velocity increases. In this paper, coupling the unknowns of particle velocities in the pressure equation is proposed, where the resulting matrix is reduced to the symmetric one by applying the projector of the combined formulation. It has been tested over some bench mark problems and gives reasonable pressure fields.

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Merging and Splitting of Coronal Holes through a Solar Cycle

  • Jang, Min-Hwan;Choe, G.S.;Hong, Sun-Hak;Woods, Tom
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.2
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    • pp.99-99
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    • 2011
  • A statistical study of coronal hole merging and splitting has been performed through Solar Cycle 23. The NOAA/SESC solar synoptic maps are examined to identify inarguably clear events of coronal hole merging and splitting. The numbers of merging events and splitting events are more or less comparable regardless of the phase in the solar cycle. The number of both events, however, definitely shows the phase dependence in the solar cycle. It apparently has a minimum at the solar minimum whereas its maximum is located in the declining phase of the sunspot activity, about a year after the second peak in Solar Cycle 23. There are more events of merging and splitting in the descending phase than in the ascending phase. Interestingly, no event is found at the local minimum between the two peaks of the sunspot activity. This trend can be compared with the variation of the average magnetic field strength and the radial field component in the solar wind through the solar cycle. In Ulysses observations, both of these quantities have a minimum at the solar minimum while their maximum is located in the descending phase, a while after the second peak of the sunspot activity. At the local minimum between the two peaks in the solar cycle, the field strength and the radial component both have a shallow local minimum or an inflection point. At the moment, the physical reason for these resembling tendencies is difficult to understand with existing theories. Seeing that merging and splitting of coronal holes are possible by passage of opposite polarity magnetic structures, we may suggest that the energizing activities in the solar surface such as motions of flux tubes are not exactly in phase with sunspot generation, but are more active some time after the sunspot maximum.

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SPLITTING METHOD OF DENSE COLUMNS IN SPARSE LINEAR SYSTEMS AND ITS IMPLEMENTATION

  • Oh, Seyoung;Kwon, Sun Joo
    • Journal of the Chungcheong Mathematical Society
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    • v.10 no.1
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    • pp.147-159
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    • 1997
  • It is important to solve the large sparse linear system appeared in many application field such as $AA^Ty={\beta}$ efficiently. In solving this linear system, the sparse solver using the splitting method for the relatively dense column is experimentally better than the direct solver using the Cholesky method.

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Study on energy of valence-band splitting from photocurrent spectrum of photoconductive $CdGa_2Se_4$ thin films

  • Hong, Kwang-Joon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2009.11a
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    • pp.66-66
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    • 2009
  • The photoconductive $CdGa_2Se_4$ layer was grown through the hot wall epitaxy method. From the photocurrent (PC) measurements, the three peaks in the PC spectra were associated with the band-to-band transitions. The PC intensities were observed to decrease with decreasing temperature. The valence-band splitting on $CdGa_2Se_4$ was also observed by means of the PC spectroscopy. The crystal field splitting and the spin orbit splitting turned out to be 0.1604 and 0.4179 eV at 10 K, respectively.

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Hydrogen Production by Photoelectrochemical Water Splitting

  • Seo, H.W.;Kim, J. S.
    • Applied Science and Convergence Technology
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    • v.27 no.4
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    • pp.61-64
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    • 2018
  • The basic principle and concept for hydrogen production via water-splitting process are introduced. In particular, recent research activities and their progress in the photoelectrochemical water-splitting process are investigated. The material perspectives of semiconducting photocatalysts are considered from metal oxides, including titanium oxides, to carbon compounds and perovskites. Various structural configurations, from conventional photoanodes with metal cathodes to tandem and nanostructures, are also studied. The pros and cons of each are described in terms of light absorption, charge separation/photoexcited electron-hole pair recombinations and further solar-to-hydrogen efficiency. In this research, we attempt to provide a broad view of up-to-date research and development as well as, possibly, future directions in the photoelectrochemical water-splitting field.

A Study on the Crack-propagation Mechanism of Pre-splitting Method with Consideration of Stress Field (응력장을 고려한 프리스플리팅 공법의 균열발생 원리에 대한 연구)

  • Yoon, Ji-Sun;Woo, Taek-Gyu;Kim, Min-Woo;Jang, Young-Min
    • Explosives and Blasting
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    • v.27 no.2
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    • pp.1-11
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    • 2009
  • Abstract By investigating the stress redistribution caused by the preceding cut blasting when applying the pre-splitting method to tunnel round, an attempt was made to find conditions that were favorable for the propagation of cracks in contour holes. The investigation of the direction of minor principal stress in the numerical analysis revealed that the most significant factor affecting the change of the direction was the loading condition, while the core shape, rock type, and tunnel depth seemed to be less important in determining the direction of minor principal stress. Moreover, the number of cracks tended to increase with the increase of deviatoric stress. Through the model test of pre-splitting, it is confirmed that the pre-splitting method taking the stress field into account can reduce the extent of yield zone and has advantage in controlling the direction of crack than the conventional one.