• Title/Summary/Keyword: Lattice relaxation

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An NMR Study of Unequal Site Exchange of 9-Methyl Group in Triptycene by Spin-Lattice Relaxation and 2D-EXSY Experiments

  • Cho, Jang-Geun;Ahn, Sang-Doo
    • Journal of the Korean Magnetic Resonance Society
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    • v.11 no.1
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    • pp.1-9
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    • 2007
  • An unequal site exchanging system induced by restricted rotation of 9-methyl group in 1,8-dichloro-9-triptycene has been studied by spin-lattice relaxation and 2D-EXSY experiments. The exchange rate obtained from relaxation studies is very well coincident to the result of line shape analysis, and the difference of the relaxation times ($T_1$) in two different sites has an important role to analyze 2D-EXSY experimental data.

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A Study on the Effect of Neighboring Protons in Proton-Coupled Spin-Lattice Relaxation of Methylene Carbon-13 in n-Undecane

  • Kim, Chul;Lee, Jo-Woong
    • Bulletin of the Korean Chemical Society
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    • v.23 no.5
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    • pp.727-735
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    • 2002
  • Proton coupled carbon-13 relaxation experiment was performed to investigate the effect of vicinal protons on spin-lattice relaxation of methylene carbon-13 in n-undecane. A BIRD type pulse sequence was employed as a way to check the validity of describing the 13CH2 moiety as an isolated AX2 spin system. The results show that the presence of vicinal protons exerts substantial influence on the relaxation of methylene carbon-13, indicating that it is not a very good approximation to treat a methylene moiety as an isolated AX2 spin system.

Lattice-Reduction-Aided Detection based Extended Noise Variance Matrix using Semidefinite Relaxation in MIMO Systems (MIMO시스템에서 Semidefinite Relaxation을 이용한 잡음 분산 행렬 기반의 Lattice-Reduction-Aided 검출기)

  • Lee, Dong-Jin;Park, Su-Bin;Byun, Youn-Shik
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.11C
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    • pp.932-939
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    • 2008
  • Recently lattice-reduction (LR) has been used in signal detection for multiple-input multiple-output (MIMO) systems. The conventional LR aided detection schemes are combinations of LR and signal detection methods such as zero-forcing (ZF) and minimum mean square error (MMSE) detection. In this paper, we propose the Lattice-Reduction-aided scheme based on extended noise variance matrix to search good candidate symbol set in quantization step. Then this scheme estimates transmitted symbol with Semidefinite Relaxation by candidate symbol set. Simulation results in a random MIMO system show that the proposed scheme exhibits improved performance and a slight increase in complexity.

$^{1}H$ Nuclear Magnetic Relaxation in Impure $CuF_{2}.2H_{2}O$ (비자성 불순물을 갖는 $CuF_{2}.2H_{2}O$의 수소 핵자기완화 연구)

  • C. H. Lee;C. E. Lee;S. J. Noh
    • Journal of the Korean Magnetics Society
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    • v.5 no.5
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    • pp.854-857
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    • 1995
  • We have studied the temperature dependence of the $^{1}H$ NMR spin-lattice relaxation for the impure $CuF_{2}.2H_{2}O$ over a temperature range from 77 K to room temperature. We find that the remperature dependence of the $^{1}H$ spin-lattice relaxation is dominated by the eletron spin-flip and the Raman process of eletron spin-lattice relaxation. The electron spin-flip exchange energy was calculated to be $1.8(\pm0.04)$ K.

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NUMERICAL STUDY ON TURBULENT FLOW OVER CYLINDER USING IMMERSED BOUNDARY LATTICE BOLTZMANN METHOD WITH MULTI RELAXATION TIME (다중완화시간 가상경계볼쯔만법을 이용한 실린더 주위의 난류유동해석)

  • Kim, Hyung-Min
    • Journal of computational fluids engineering
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    • v.15 no.2
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    • pp.21-27
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    • 2010
  • Immersed boundary lattice Boltzmann method (IBLBM) has been applied to simulate a turbulent flow over circular cylinder in a flow field effectively. Although IBLBM is very effective method to simulate the flow over a complex shape of obstacle in the flow field regardless of the constructed grids in the calculation domain, the results, however, become numerically unstable in high reynolds number flow. The most effective suggestion to archive the numerical stability in high Reynolds number flow is applying the multiple relaxation time (MRT) model instead of single relaxation time(SRT) model in the collision term of lattice Boltzmann equation. In the research MRT model for IBLBM was introduced and comparing the numerical results obtained by applying SRT and MRT. The hydraulic characteristic of cylinder in a flow field between two parallel plate at the range of $Re{\leqq}2000$represented and it is also compared the drag and lifting coefficients of the cylinder calculated by IBLBM with SRT and MRT model.

A Study on Spin-Lattice Relaxation of Methyl Protons in 2,6-Dichlorotoluene and N-Methyl Phthalimide

  • Lee, Jo-Woong;Lim, Man-Ho;Rho, Jung-Rae
    • Bulletin of the Korean Chemical Society
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    • v.12 no.1
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    • pp.47-51
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    • 1991
  • Spin-lattice relaxation of methyl protons in 2,6-dichlorotoluene and N-methyl phthalimide, each dissolved in CDCl$_3$, has been studied at 34$^{\circ}$C and the contribution from spin-rotation interaction to the relaxation process has been separated from that due to dipole-dipole interactions among methyl protons. The results show that the spin-rotational contributions to the initial rate of relaxation in 2,6-dichlorotoluene and N-methyl phthalimide amount to 18 and 31%, respectively, of the total relaxation rate at 34$^{\circ}$C. The method of separating the spin-rotational contribution from that of dipolar interactions adopted in this paper is based on the well known fact that in an A$_3$ spin system such as methyl protons in liquid phase dipolar relaxation mechanism gives non-exponential decay of the z-component of total magnetization of protons while the random field fluctuation such as spin-rotational mechanism causes exponential decay.

A Surface Relaxation Model for Si thin film (Si 박막해석을 위한 Surface Relaxation Model)

  • Chung, Ha-Young;Kim, Won-Bae;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.273-276
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    • 2011
  • 표면의 물성은 표면효과를 고려한 나노 스케일의 구조물의 기계적 거동 해석에 있어서 필수적인 요소이다. 이러한 해석을 위한 방법론 중 surface relaxation model을 이용하여 박막의 표면 물성을 계산하는 방법은 이미 FCC 모델에서는 검증된 바 있으나, 동일한 방법론을 diamond 구조를 가지는 실리콘에 일괄적으로 적용할 수는 없다. 이는 FCC 구조를 갖는 금속과는 달리 실리콘이 공유결합 물질이라는 점과, 박막표면에서 다양한 surface reconstruction이 가능하다는 점, 그리고 실리콘의 diamond lattice가 FCC lattice에 비해 추가적인 자유도가 존재한다는 점으로부터 기인한다. 본 논문에서는 이와 같은 조건을 고려하여 Si 박막의 표면 물성을 해석하기 위한 surface relaxation 모델을 제시한다.

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Bottleneck Behavior of $^1H$ NMR Spin-lattice Relaxation in Ammonium Sulfate

  • Hong, Kwan-Soo;Yu, In-Suk
    • Journal of the Korean Magnetic Resonance Society
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    • v.6 no.2
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    • pp.132-141
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    • 2002
  • $^1H$ nuclear magnetic resonance (NMR) relaxations have been investigated in ammonium sulfate $((NH_4)_2SO_4)$ power at temperatures ranging form 102 K to 440 K. There is a bottleneck in the spin-lattice relaxation between the nuclear spin system and the hindered rotation of ammonium ions, which is certified by measuring the relaxation according to the initial condition of the spin system. For temperatures below 318 K the $^1H$ spin-lattice relaxations have double-exponential behaviors with the exponent, n, having a value 2>n>1 initially and n=l after a long time. Above 318 K not only is the relaxation exponential initially with exponent n=1, but it is a single-exponential over the entire time, resulting in one $T_1$ value. The two types of $NH_4^+$ ions have different activation energies for hindered rotation, $E_a^1=0.27{\pm}0.02eV$ and $E_a^11=0.12{\pm}0.0eV$, in the ferroelectric phase.

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Effect of Strain Path on Lattice Strain Evolution during Monotonic and Cyclic Tension of Magnesium Alloy

  • Yoon, Cheol;Gharghouri, Michael A.;Lee, Soo Yeol
    • Korean Journal of Materials Research
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    • v.25 no.5
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    • pp.221-225
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    • 2015
  • In-situ neutron diffraction has been employed to examine the effect of strain path on lattice strain evolution during monotonic and cyclic tension in an extruded Mg-8.5wt.%Al alloy. In the cyclic tension test, the maximum applied stress increased with cycle number. Lattice strain data were acquired for three grain orientations, characterized by the plane normal to the stress axis. The lattice strain in the hard {10.0} orientation, which is unfavorably oriented for both basal slip and {10.2} extension twinning, evolved linearly throughout both tests during loading and unloading. The {00.2} orientation exhibited significant relaxation associated with {10.2} extension twinning. Coupled with a linear lattice strain unloading behavior, this relaxation led to increasingly compressive residual strains in the {00.2} orientation with increasing cycle number. The {10.1} orientation is favorably oriented for basal slip, and thus showed a soft grain behavior. Microyielding occurred in the monotonic tension test and in all cycles of the cyclic test at an applied stress of ~50 MPa, indicating that strain hardening in this orientation was not completely stable from one cycle to the next. The lattice strain unloading behavior was linear in the {10.1} orientation, leading to a compressive residual strain after every cycle, which, however, did not increase systematically from one cycle to the next as in the {00.2} orientation.

Nucleus-phonon interactions of MCsSO4 (M = Na, K, or Rb) single crystals studied using spin-lattice relaxation time

  • Choi, Jae Hun;Kim, Nam Hee;Lim, Ae Ran
    • Journal of the Korean Magnetic Resonance Society
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    • v.18 no.1
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    • pp.15-23
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    • 2014
  • The structural properties and relaxation processes of $MCsSO_4$ (M = Na, K, or Rb) crystals were investigated by measuring the NMR spectra and spin-lattice relaxation rates $1/T_1$ of their $^{23}Na$, $^{39}K$, $^{87}Rb$, and $^{133}Cs$ nuclei. According to the NMR spectra, the $MCsSO_4$ crystals contain two crystallographically inequivalent sites each for the M and Cs ions. Further, the relaxation rates of all these nuclei do not change significantly over the investigated temperature range, indicating that no phase transitions occur in these crystals in this range. The variations in the $1/T_1$ values of the $^{23}Na$, $^{39}K$, $^{87}Rb$, and $^{133}Cs$ nuclei in these three crystals with increasing temperature are approximately proportional to $T^2$, indicating that Raman processes may be responsible for the relaxation. Therefore, for nuclear quadrupole relaxation of the $^{23}Na$, $^{39}K$, $^{87}Rb$, and $^{133}Cs$ nuclei, Raman processes with n = 2 are more effective than direct processes.