• Title/Summary/Keyword: Crystal Field Theory

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A Theory of Specific Heat Discontinuity of the Superconducting Crystals by Using the Linear Model for Critical Magnetic Field (임계 자기장 선형 모델을 이용한 초전도 결정의 비열 불연속성 이론)

  • Kim, Cheol-Ho
    • The Journal of the Korea institute of electronic communication sciences
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    • v.13 no.1
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    • pp.23-28
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    • 2018
  • We derive a gap of specific heat discontinuity of superconducting crystals theoretically at the critical temperature $T_{CH}$ as an explicit function of applied magnetic field H by using the thermodynamic relations for Gibbs free energy and the linear model for the critical magnetic field $H_{CT}$. The derived a gap of specific heat discontinuity is compared with experimental results by J. Kacmarcik et al. for superconducting MgCNi3 crystal. Our specific heat gap function well explain the jump up phenomena of the superconducting crystals.

Optical Properties of ZnHgGa4Se8 and ZnHgGa4Se8:Co2+ Single Crystals

  • Lee Choong-Il
    • Korean Journal of Materials Research
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    • v.15 no.10
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    • pp.657-661
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    • 2005
  • [ $ZnHgGa_4Se_8\;and\;ZnHgGa_4Se_8::Co^{2+}$ ] single crystals were grown by the Bridgman-Stockbarger method. The single crystals crystallized into a defect chalcopyrite structure. The optical energy band gap of the single crystals was investigated in the temperature range 11-300K. The optical energy band gap of the $ZnHgGa_4Se_8:Co^{2+}$ single crystal was smaller than that of the $ZnHgGa_4Se_8$ single crystal. The temperature dependence of the optical energy band gap of the single crystals was well fitted by the Varshni equqtion. The impurity optical absorption spectrum of the $ZnHgGa_4Se_8:Co^{2+}$ single crystal was measured in the wavelength region 300-2300 m at 80 K. Impurity absorption peaks in the spectrum were analyzed within the framework of the crystal field theory and were attributed to the electron transitions between the energy levels of $Co^{2+}$ sited in the Td symmetry point.

I-V Characteristics of the TFT Analyzed by Tunneling in Grain Boundaries (粒界에서의 터널링으로 解析한 薄膜트랜지스터의 電流-電壓 特性)

  • Ma, Tae-Young
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.6
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    • pp.23-29
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    • 1989
  • A physical model that characterizes the field effect of the polycrystalline thin film transistor(TFT) is developed. The model discribes grains as discrete single crystal transistors and grain boundaries as insulated layers having the potential barrier, Thus TFT is considered as serial connection of single crystal transistors and insulators. In the model, the currents in the grain and the grain boundary is calculated using gradual channel approximation and tunneling theory, respetively. By comparing computed I-V characteristics with measured I-V characteristics of CdSe TFT's, potential and electric field distributions in the channel are observed and the validity of the conduction model proposed in this paper is confirmed.

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The Effect of the Configuration Interaction on 10Dq in a Point Charge Model (점전하 모형에 의한 10Dq 에서의 배치간 작용의 영향)

  • Hojing Kim;Duckhwan Lee
    • Journal of the Korean Chemical Society
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    • v.21 no.1
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    • pp.23-31
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    • 1977
  • For the metal complex of $d^1$ configuration with the octahedrally coordinated ligands, the crystal field parameter, 10Dq, is calculated from first principles within the framework of the crystal field theory. With the point charge model, the configuration interaction is introduced by use of the Shull-L$\"{o}$wdin functions. Through the Integral Hellmann-Feynman Theorem, the higher order effect is visualized. It is found that the higher order effect on 10Dq is about $50{\%}$ of the first order effect. Since 3d function is angularly undistorted and radially equally distorted in $E_g\;and\;T_{2g}$ states, due to the octahedral potential, the calculated 10Dq is still the unique parameter for the splitting.

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Anchoring Properties in Photo-aligned Periodic Domains for Wide-viewing Liquid Crystal Displays

  • Yu, Chang-Jae;Park, Jae-Hong;Lee, Sin-Doo
    • Journal of Information Display
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    • v.4 no.1
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    • pp.24-28
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    • 2003
  • We studied the anchoring properties in photo-aligned periodic domains of liquid crystals (LCs) in an alternating homeotropic and hybrid geometry. In this geometry, the surface anchoring energy was determined in using the director-distorted length of the LC near domain boundary, calculated in a linear approximation of the director profile within the continuum theory. The measurements were made using the LC diffraction grating with the phase profile in the form of a trapezoid.

Electronic Spectroscopy and Ligand Field Analysis of trans-[CrX2([15]aneN4)]+(X=F,CI) (trans-[CrX2([15]aneN4)]+(X=F,CI)의 전자분광학과 리간드장 해석)

  • Jong-Ha Choi;In-Gyung Oh;Sang Hak Lee;Yu Chul Park
    • Journal of the Korean Chemical Society
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    • v.47 no.2
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    • pp.109-114
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    • 2003
  • The electronic absorption spectra of trans-$[CrX_2([15]aneN_4)]ClO_4\;([15]aneN_4$=1,4,8,12-tetraazacyclopentadecane; X=F, Cl) complexes have been interpreted using the ligand field theory. An AOMX program is used to optimize the differences between the calculated and the observed positions for the spin-allowed transition bands. The crystal field theory(CFT) parameter is directly related to the angular overlap model(AOM), normalized spherical harmonic hamiltonians(NSH), and semiempirical parameters. The various ligand field parameters are discussed in terms of their chemical significances. According to the ligand field analysis, we can confirm that the fluoride ligand is a very strong ${\sigma}-$ and ${\pi}-$donor while the chloride has weak ${\sigma}-$ and ${\pi}-$donor properties toward chromium(III) ion.

Optical absorption of $Mg_{0.15}Zn_{0.85}Te$ and $Mg_{0.15}Zn_{0.85}Te:Co^{2+}$ single crystal ($Mg_{0.15}Zn_{0.85}Te$$Mg_{0.15}Zn_{0.85}Te:Co^{2+}$ 단결정의 광흡수 특성)

  • 전용기
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.9 no.2
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    • pp.180-184
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    • 1999
  • The single crystals of $Mg_{0.15}Zn_{0.85}Te$ and $Mg_{0.15}Zn_{0.85}Te:Co^{2+}$(0.001%) were grown by vertical Bridgman method. Optical absorption properties of this compound were studied. As a result of the optical absorption spectra of $Mg_{0.15}Zn_{0.85}Te$, absorption peaks were related to exciton and the exciton level redshifts with increasing temperature, and temperature coefficient given to the value of $-5.8{\times}10^{-4}\;eV/K$ for the temperature range above 100 K. in the $Mg_{0.15}Zn_{0.85}Te:Co^{2+}$(0.001%) single crystal, the intracenter transitions due to $Co^{2+}$ ions were detected for $A-band:^4A_2(^4F) {\to}^4T_1(^4F),\; B-band:\; ^4A_2(^4F){\to}^4T_1(^4P)$, and the charge transfer transition near the absorption edge was observed in the wavelength range of 500 to 800 nm. According to the crystal field theory and Lucovsky formula, the crystal field parameter, Racah parameter and charge transfer energy were determined.

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Surface and Optical Characteristics of Cobalt Dopped-titanium Oxide Film Fabricated by Water Spray Pyrolysis Technique (습식 분무 열분해 방법으로 제조한 코발트 도핑된 티타늄 산화막의 표면 및 광학적 특성)

  • Song Ho-Jun;Park Yeong-Joon
    • Korean Journal of Materials Research
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    • v.15 no.3
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    • pp.209-215
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    • 2005
  • Titanium dioxide films $(TiO_2)$ doped cobalt transition metal were prepared on titanium metal by water spray pyrolysis technique. Micro-morphology, crystalline structure, chemical composition and binding state of sample groups were evaluated using field emission scanning microscope(FE-SEM), X-ray diffractometer(XRD), Raman spectrometer, X-ray photoelectron spectrometer(XPS). $TiO_2$ films of rutile structure were predominately formed on all sample groups and $Ti_2O_3$ oxide was coexisted on the surface of cobalt doped-sample groups. The optical absorption peaks measured by using UV-VIS-NIR spectrophotometer were observed at specific wavelength region in sample groups doped cobalt ion. This result could be analyzed by introducing crystal field theory.

Measurement of Effective Refractive Index of Anodic Aluminum Oxide Using a Prism Coupler

  • Gong, Su-Hyun;Cho, Y.H.;Stolz, Arnaud;Gokarna, Anisha;Dogheche, Elhadj;Ryu, Sang-Wan
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.08a
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    • pp.195-195
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    • 2010
  • In recent years, Anodic aluminum oxide(AAO) has become popular and attractive materials. It can be easily fabricated and self-organized pore structures. It has been widely used as a biosensor membrane, photonic crystal for optical circuit and template for nanotube growth etc. In previous papers, the theory was developed that AAO shows anisotropic optical properties, since it has anisotropic structure with numerous cylindrical pores. It gives rise to the anisotropy of the refractive index called as birefringence. It can be used as conventional polarizing elements with high efficiency and low cost. Therefore, we would like to compare the theory and experimental results in this study. One method which can measure effective refractive index of thin film is the prism coupling technique. It can give accurate results fast and simply. Furthermore, we can also measure separately the refractive index with different polarization using polarization of the laser (TE mode and TM mode). We calculated the effective refractive index with effective medium approximations (EMAs) by pore size in the SEM image. EMAs are physical models that describe the macroscopic system as the homogeneous and typical method of all mean field theories.

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Study on the Phase Interface Tracking Numerical Schemes by Level Set Method (Level Set 방법에 의한 상경계 추적 수치기법 연구)

  • Kim, Won-Kap;Chung, Jae-Dong
    • Proceedings of the SAREK Conference
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    • 2006.06a
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    • pp.116-121
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    • 2006
  • Numerical simulations for dendritic growth of crystals are conducted in this study by the level set method. The effect of order of difference is tested for reinitialization error in simple problems and authors founded in case of 1st order of difference that very fine grids have to be used to minimize the error and higher order of difference is desirable to minimize the reinitialization error The 2nd and 4th order Runge-Kutta scheme in time and 3rd and 5th order of WENO schemes with Godunov scheme are applied for space discretization. Numerical results are compared with the analytical theory, phase-field method and other researcher's level set method.

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