• Title/Summary/Keyword: $C_{2}$-Symmetry

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Improved Turbulence Model on the 3 Dimensional Plane of Symmetry Flow (3차원 대칭단면 유동장에서의 개선된 난류모델)

  • Sohn C. H.
    • Journal of computational fluids engineering
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    • v.2 no.2
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    • pp.1-8
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    • 1997
  • Two versions of anisotropic k-ε turbulence model are incorporated in the modified k-ε model of Sohn et al. to avoid the need for the experimental normal stress value in the model and applied to convergent and divergent flows with strong and adverse pressure gradients in the plane of symmetry of a body of revolution. The models are the nonlinear k-ε model of Speziale and the anisotropic model of Nisizima & Yoshizawa. All of the models yield satisfactory results for relatively complex flow on a plane-of-symmetry boundary layer. The results of the models are compared with those results of experimental normal stress value.

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MO Theoretical Studies on the Effect of Bond Angle Distortion in Pyrazine

  • Lee, Ik-Choon;Kim, Ho-Soon
    • Bulletin of the Korean Chemical Society
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    • v.5 no.2
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    • pp.68-73
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    • 1984
  • An enhancement of through-bond interaction by bond angle distortion in pyrazine was examined using various MO methods. Results of MINDO/3 geometry optimization with an angle (${\alpha}$) at $C_2$ atom fixed to 120∼90$^{\circ}$ lead to distorted structures in which the distorted bond is brought closer toward lone pair orbital n of N atom. It was also found that the bond angle distortion increased the P character at the atom $C_2$, resulting in an increased vicinal overlap between n and the $C_2-C_3$ bond. The FMO patterns of ${\sigma}$ framework showed three-fold degeneracy, one of which was of different symmetry which mixes in the symmetry adapted pair, $n_+\;and\;n_-;\;both\;n_+\;and\;n_-$ orbitals thus can interact with both FMOs of the ${\sigma}$ framework. The LCBO-MO analysis with partial elimination of bonds, antibonds or both, however, revealed that the main interaction of $n_+$ was with the HO-${\sigma}$ and that of $n_-$ was with the LU-${\sigma}^{\ast}$ orbital of the ${\sigma}$ framework.

Investigation on structural symmetry of CsCoCl3·2H2O crystals by magic-angle spinning 1H and static 133Cs nuclear magnetic resonance

  • Park, Sang Hyeon;Jang, Du Chang;Jeon, Hara;Gyeong, Oh Yi;Lim, Ae Ran
    • Journal of the Korean Magnetic Resonance Society
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    • v.26 no.1
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    • pp.10-16
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    • 2022
  • The phase transition temperatures of CsCoCl3·2H2O crystals are investigated via differential scanning calorimetry (DSC) and thermogravimetric analysis (TGA). Three endothermic peaks at temperatures of 370 K (=TC1), 390 K (=TC2), and 416 K (=TC3) were observed for phase transitions from CsCoCl3·2H2O to CsCoCl3·1.5H2O, to CsCoCl3·H2O, and then to CsCoCl3·0.5H2O, respectively. In addition, the spin-lattice relaxation time T in the rotating frame and T1 in the laboratory frame as well as changes in chemical shifts for 1H and 133Cs near TC1 were found to be temperature dependent. Our analyses results indicated that the changes of chemical shifts, T, and T1 are associated with structural phase transitions near temperature TC1. The changes of chemical shifts, T, and T1 near TC1 were associated with structural phase transitions, owing to the changes in the symmetry of the structure formed of H2O and Cs+ ions. Consequently, the structural symmetry in CsCoCl3·2H2O crystals based on temperature is discussed by the environments of their H and Cs nuclei.

An Adaptive Control of Symmetry Contribution Based Generalized Symmetry Transform (적응적 대칭기여도 제어 기반 일반화 대칭변환)

  • Jeon, Joon-Hyung;Lee, Seung-Hee;Park, Kil-Houm
    • Journal of Korea Multimedia Society
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    • v.17 no.2
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    • pp.208-217
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    • 2014
  • This paper propose an adaptive control of symmetry contribution based generalized symmetry transform. which can be controlled symmetry contribution according to the intensity orientation of two pixels. In the proposed method, we define the C-D(convergent and divergent)plane which represents convergence and divergence region of gradient pairs. and used the gaussian phase wight function, with respect to the distance from the gradient pair to an extreme point, in calculating the symmetry contribution. The proposed method can be detect the object more efficiently by adaptive controlling the cut-off frequency of the gaussian phase wight function. To evaluate a performance of the proposed method, we compare the proposed method and conventional GST method in various images including IR image. we prove that the proposed method have better performance in object detection.

Variations of Ferroelectric Properties by Unit Cell Distortion of Pb(Zr, Ti)O3-Pb(Co, Nb)O3 Solid Solution in Morphotropic Phase Boundary (Morphotropic Phase Boundary 영역의 Pb(Zr, Ti)O3-Pb(Co, Nb)O3계 고용체의 격자변형에 따른 강유전 특성 변화)

  • 이전국;정형진
    • Journal of the Korean Ceramic Society
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    • v.25 no.6
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    • pp.694-698
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    • 1988
  • Pb(Zr, Ti)O3-Pb(Co, Nb)O3 systems were investigated by x-ray diffraction method. System contains rhombohedral, tetragonal, and pseudocubic structures at room temperature. Crystal symmetry was changed from 4-fold symmetry to 3-fold symmetry by substituting Pb(Co1/3, Nb2/3)O3 ; PCN, to Pb(Zr0.52, Ti0.48)O3 ; PZT. As the substituted PCN concentration was increased, an increase in a-axis direction and a decrease in c-axis in the perovskite structure were occurred simultaneously, so that the crystal symmetry was changed into such way. In the higher sinteringtemperatures, the unit cell distortions occurred rather in the lower substitution range of PCN. The ferroelectric properties were maximized at the region that tetragonal and rhombohedral or pseudocubic structures were coexist.

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Second Harmonic Rotational Anisotropy of Polycrystalline Fe Films on Glass Substrates (유리 위에 증착된 다결정 Fe 자성박막의 이차조화파 회전 이방성)

  • Lee, Feel;Jeong, Jae-Woo;Lee, Hun-Sung;Lee, Kyung-Dong;Kim, Ji-Wan;Shin, Sung-Chul
    • Journal of the Korean Magnetics Society
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    • v.19 no.2
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    • pp.47-51
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    • 2009
  • The surface structure of polycrystalline Fe films of various thicknesses on glass substrates have been studied using a Ti: Sapphire laser at 780 nm. We found that the surface structure possesses C$_s$ crystal structure close to $C_{2v}$ through symmetry consideration. We present one-fold intensity profile with one mirror plane in second harmonic (SH) intensity as a proof of $C_s$ symmetry. $C_s$ and $C_{2v}$ surface symmetries usually appear at the (110) surface of a cubic diamond single crystal [1]. Therefore this surface symmetry would be related to bcc (110) growth orientation coinciding with XRD measurement. Further we treated surface normalized SH asymmetry with various thicknesses. The SH asymmetry increases with increasing of film thickness. From these results, it is observed that the surface structure of thin polycrystalline Fe film below 5 nm is almost isotropic, while in the case of the thicker Fe films, surface structure have $C_s$ symmetry structure close to $C_{2v}$.

Geometries and Relative Stabilities of AlN Four-Membered-Ring Compound Isomers: Ab initio Study

  • Park, Sung-Soo;Lee, Kee-Hag;Suh, Young-Sun;Lee, Chang-Hoon;Luthi, Hans P.
    • Bulletin of the Korean Chemical Society
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    • v.23 no.2
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    • pp.241-244
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    • 2002
  • Using ab initio method, we have studied the structural stabilities, the electronic structures and properties between the two isomers with $C_{2h}$ and $C_{2v}$ symmetry of AlN four-membered-ring single precursors $[Me_2AlNHR]_2$ (R = Me, $^iPr$, and $^iBu$). In the viewpoint of bond lengths in optimized structures, the N-C bonds are considerably affected by the change of the R groups bonded to nitrogen, but the bonding characters of the Al-N and Al-C bonds are little affected. Also the structural stabilities between the two isomers with $C_{2h}$ and $C_{2v}$ symmetry by using Hartree-Fock (HF) and the second order Moeller-Pleset (MP2) calculations agree well with the experimental results for the relative stability of bis(dimethyl- m-isopropylamido-aluminum) (BDPA) and bis(dimethyl- m-t-butylamido-aluminum) (BDBA), while the semiempirical AM1 and PM3 calculations for BDPA were reverse. Thus, our results may aid in designing an optimum precursor for a given process by explaining the experimental results through the elimination of the R groups bonded to nitrogen.

X-Ray Crystal Structure Determination of Diazatricyclodione (디아자트리사이클로디온의 X선 결정구조 결정)

  • Kim, Sang-Su;An, Jong-Il;Han, Bo-Seop
    • Korean Journal of Crystallography
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    • v.1 no.2
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    • pp.84-90
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    • 1990
  • 1,3-Diazatricyclo (5.2.1.Os .to) decane-2,11-dione , C8H10N2O2. MW=166.15, Monoclinic, P2/n a= 6.585(7) , b=9.089(4), c=12.937(10)A, β=95.72(5)˚, V=770.4A3, Z=4, Dc=1.43(4) g/cm3, λ (Mo Ka)=0.7093A, r=1.Ocm-1, T=295˚K, final R=0.037 for 698 unique observed reflections. The compound is the product of the intramolecular (2+2) photocycloaddition of Nl-(w-butenyl)uracil and belongs to a (5.2.1.O5.10) tricyclic system. A pair of molecules related by the inversion symmetry are held together by the strong hydrogen bonding interactions between 02 and H3 of the uracil moiety.

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Photodissociation Dynamics of C2H4BrCl: Nonadiabatic Dynamics with Intrinsic Cs Symmetry

  • Lee, Kyoung-Seok;Paul, Dababrata;Hong, Ki-Ryong;Cho, Ha-Na;Jung, Kwang-Woo;Kim, Tae-Kyu
    • Bulletin of the Korean Chemical Society
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    • v.30 no.12
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    • pp.2962-2968
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    • 2009
  • The photodissociation dynamics of 1,2-bromochloroethane ($C_2H_4BrCl$) was investigated near 234 nm. A two-dimensional photofragment ion-imaging technique coupled with a [2+1] resonance-enhanced multiphoton ionization scheme was utilized to obtain speed and angular distributions of the nascent Br($^2P_{3/2}$) and Br${\ast}($^2P_{1/2}$) atoms. The total translational energy distributions for the Br and Br${\ast}$ channels were well characterized by Gaussian functions with average translational energies of 100 and 84 kJ/mol, respectively. The recoil anisotropies for the Br and Br${\ast}$ channels were measured to be ${\beta}$ = 0.49 ${\pm}$ 0.05 for Br and 1.55 ${\pm}$ 0.05 for Br${\ast}$. The relative quantum yield for Br${\ast}$ was found to be ${\Phi}_{Br{\ast}}$ = 0.33 ${\pm}$ 0.03. The probability of nonadiabatic transition between A' states was estimated to be 0.46. The relevant nonadiabatic dynamics is discussed in terms of interaction between potential energy surfaces in Cs symmetry.

Analysis of Low MU Characteristics of Siemens Primus Linear Accelerator using Diode Arrays for IMRT QA (다이오드 어레이를 이용한 Siemens사의 Primus 선형가속기의 저 MU 특성 분석)

  • Kim, Ju-Ree;Lee, Re-Na;Lee, Kyung-Ja
    • Progress in Medical Physics
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    • v.19 no.3
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    • pp.164-171
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    • 2008
  • One of the most important task in commissioning intensity modulated radiotherapy (IMRT) into a clinic is the characterization of dosimetry performance under small monitor unit delivery conditions. In this study, method of evaluating dose monitor linearity, beam flatness and symmetry, and MLC positioning accuracy using a diode array is investigated. Siemens Primus linear accelerator (LA) with 6 and 10 MV x-rays was used to deliver radiation and the characteristics were measured using a multi array diodes. Monitor unit stabilities were measured for both x-ray energies. The dose linearity errors for the 6 MV x-ray were 2.1, 3.4, 6.9, 8.6, and 15.4 % when 20 MU, 10 MU, 5 MU, 4 MU, and 2 MU was delivered, respectively. Greater errors were observed for 10 MV x-rays with a maximum of 22% when 2 MU was delivered. These errors were corrected by adjusting D1_C0 values and reduced to less than 2% in all cases. The beam flatness and symmetry were appropriate without any correction. The picket fence test performed using diode array and film measurement showed similar results. The use of diode array is a convenient method in characterizing beam stability, symmetry and flatness, and positioning accuracy of MLC for IMRT commissioning. In addition, adjustment of D1-C0 value must be performed when a Siemens LA is used for IMRT because factory value usually gives unacceptable beam stability error when the MU/segment is smaller than 20.

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