• Title/Summary/Keyword: $J_{1C}$

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The Stability Constants of Lead Acetato Complexes as Function of Temperature and Ionic Strength (Pb-Acetato Complexes의 이온强度 및 溫度 變化에 따른 安定度常數에 關한 考察)

  • JUNG UI HWANG;YUNG JOO JUN
    • Journal of the Korean Chemical Society
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    • v.11 no.2
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    • pp.63-69
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    • 1967
  • The stability constants of lead acetato conplexes were evaluated in various ionic strengths (2.00, 1.00, and 0.75), and at various temperature (15, 20, 25, 30, and $35^{\circ}C$), respectively, by the polarographic and potentiometric method of which Hume and Leden had described. The existence of three complex ions, $PbAc^+$, $PbAc_2$, and $PbAc_3^-$ have been shown in the range of concentration of 0~0.8 mole acetate ion. Referring to values obtained, we have derived the following empirical formula with the stability constant (Kijk), ternperature (Tk) and ionic strength (${\mu}j$). log Kijk = (Ai/${\mu}j^3$+ Bi) / Tk + Ci/${\mu}j^3$ + Di . The deduced and observed stability constants are matched in 5% for the K, and $K_3$, and 20% for the $K_2$.

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Thermo-Mechanical Fatigue Crack Propagation Behaviors of 1.5Cr-0.67Mo-0.33V Alloy (1.5Cr-0.67Mo-0.33V강의 열피로 크랙전파 거동)

  • 송삼홍;강명수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.9
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    • pp.2133-2141
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    • 1995
  • The thermo-mechanical fatigue tests were performed on the specimens extracted from 1.5Cr-0. 67Mo-0.33V alloy. The characteristics of thermo-mechanical fatigue crack propagation were examined and reviewed in view of fracture mechanics. The results obtained from the present study are summarized as follows : (1) The propagation characteristics of isothermal low-cycle fatigue crack are dominated by .DELTA.J$_{f}$ in case of PP waveform, and .DELTA.J$_{c}$ in case of CP waveform. (II)The propagation characteristics of thermo-mechanical fatigue crack are dominated by .DELTA.J$_{c}$ for in-phase case, and by .DELTA.J$_{c}$ for out-of-phase. The present results were in good agreement with the equation of propagation law for isothermal low-cycle fatigue crack in case of thermo-mechanical fatigue.tigue.e.

Analysis of Spin Exchange Interactions in (C2N2H10)[Fe(HPO3)F3] on the Basis of Electronic Structure Calculations

  • Koo, Hyun-Joo
    • Bulletin of the Korean Chemical Society
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    • v.32 no.2
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    • pp.467-471
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    • 2011
  • Spin exchange interactions of $(C_2N_2H_{10})[Fe(HPO_3)F_3]$ were examined by performing a spin dimer analysis based on extended Huckel tight binding method and a mapping analysis based on first principles density functional theory. Spin exchange interactions occur through the super-superexchange paths $J_1$ and $J_2$ in $(C_2N_2H_{10})[Fe(HPO_3)F_3]$. In the super-superexchange path $J_2$ magnetic orbital interactions between eg-block levels are much stronger than those from $t_{2g}$-block levels. Both electronic structure calculations show that the spin exchange interaction through the super-superexchange path $J_2$ is much stronger than that of $J_1$.

Effects of heat treatment temperature on the formation of MgB2 bulk superconductors prepared using MgB4 and Mg powder

  • Kim, S.H.;Kang, W.N.;Lee, Y.J.;Jun, B.H.;Kim, C.J.
    • Progress in Superconductivity and Cryogenics
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    • v.19 no.1
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    • pp.42-46
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    • 2017
  • The effects of the heat treatment temperature ($600^{\circ}C-1050^{\circ}C$) on the formation of $MgB_2$ and the superconducting properties have been examined. The self-synthesized $MgB_4$ and commercial Mg powders were used as raw materials for the formation of $MgB_2$. The superconducting critical temperatures ($T_cs$) of $MgB_2$ bulk superconductors prepared at $600^{\circ}C-850^{\circ}C$ were as high as 37-38 K regardless of the heat treatment temperature. However, because $MgB_4$ is more stable than $MgB_2$ at above $850^{\circ}C$, no superconducting signals were detected in the susceptibility-temperature curves of the samples prepared above $850^{\circ}C$. As for the critical current density ($J_c$), the sample heat-treated at a low temperature ($600^{\circ}C$) for a prolonged period (40 h) showed a Jc higher than those prepared at $650^{\circ}C-850^{\circ}C$ for a short period (1 h). The FWHM (full width at half maximum) result showed that the grain size of $MgB_2$ of the $600^{\circ}C$ sample was smaller than that of the other samples. The high $J_c$ of the $600^{\circ}C$sample is attributed to the presence of large numbers of grain boundaries, which can act as flux pinning centers of $MgB_2$.

The Spin-Rotation Interaction of the Proton and the Fluorine Nucleus in the Tetrahedral Spherical Top Molecules

  • Lee, Sang-Soo;Ozier, Irving;Ramsey, N.F.
    • Nuclear Engineering and Technology
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    • v.5 no.1
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    • pp.38-43
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    • 1973
  • The spin-rotation constants of the proton and tile fluorine nucleus in C $H_4$, Si $H_4$, Ge $H_4$, C $F_4$, Si $F_4$ and Ge $F_4$ were determined experimentally by the molecular beam magnetic resonance method. From the Hamiltonian and the high field approximation, the quantized energy level is given by the following equation. W $m_{I}$ $m_{J}$=- $g_{I}$ $m_{I}$H- $g_{J}$ $m_{J}$H- $C_{av}$ $m_{I}$ $m_{J}$, where $c_{av}$ is one third of the trace of the C tensor. In the nuclear resonance experiment, the proton and the fluorine nuclear resonance curves consist of many unresolved lines given by v=- $g_{J}$H- $C_{av}$ $m_{I}$, and a Gaussian approximation is made to correlate $c_{av}$ to the experimentally obtained half-width of the resonance curve. In the rotational resonance experiment, the five resonance peaks as predicted by v=- $g_{I}$H- $c_{av}$ $m_{I}$, $m_{I}$=0, $\pm$1 and $\pm$2, were all observed. The magnitude of car was determined by measuring the frequency distance between two adjacent peaks. The sign of $c_{av}$ was determined by the side peak suppression technique. The technique is described, and the sign and magnitude of the spin-rotation constant cav are summarized as following: for C $H_4$ -10.3$\pm$0.4tHz(from the rotational resonance), for SiH +3.71$\pm$0.08kHz(from the nuclear resonance), for Ge $H_4$+3.79$\pm$0.13kHz(from the nuclear resonance), for C $F_4$, -6.81$\pm$0.08kHz(from the rotational resonance), for Si $F_4$, -2.46$\pm$0.06kHz(from the rotational resonance), and finally for Ge $F_4$-1.84$\pm$0.04kHz(from the rotational resonance).onal resonance).esonance).

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Uniqueness of Meromorphic Functions Concerning the Difference Polynomials

  • LIU, FANGHONG;YI, HONGXUN
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.411-427
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    • 2015
  • In this article, we main study the uniqueness problem of meromorphic function which difference polynomials sharing common values. We consider the entire function $(f^n(f^m-1)\prod_{j=1}^{s}f(z+c_j)^{{\mu}j})^{(k)}$ and the meromorphic function $f^n(f^m-1)\prod_{j=1}^{s}f(z+c_j)^{{\mu}j}$ to get the main results which extend Theorem 1.1 in paper[5] and theorem 1.4 in paper[6].

Improved Carleman's Inequality and Improvement of Polya-Knopp's Inequality (칼레만 부등식의 개선 결과들과 폴야-놉 부등식의 개선)

  • Kwon, Ern Gun;Lee, Jinkee
    • East Asian mathematical journal
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    • v.34 no.4
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    • pp.359-369
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    • 2018
  • This note, we first show that the famous Carleman's inequality can be improved if we find a positive sequence $\{c_n\}$ such that $c_n{\sum\limits_{j=n}^{\infty}}{\frac{1}{j\(\prod_{k=1}^{j}ck\)^{\frac{1}{j}}}}$ < e. Then we list a lot of known results in the literature improving Carleman's inequality by this method. These results can be a good source to a further research for interested students. We next consider about similar improvement of Polya-Knopp's inequality, which is a continuous version of Carleman's inequality. We show by a manner parallel to the case of Carleman's inequality that Polya-Knopp's inequality can be improved if we find a positive function c(x) such that $c(x){\int}_{x}^{\infty}\frac{1}{t\;{\exp}\(\frac{1}{t}{\int}_{0}^{t}{\ln}\;c(s)\;ds\)}dt$ < e. But there are no known results improving Polya-Knopp's inequality by this method. Suggesting to find a new method, we lastly show that there is no nice continuous function c(x) that satisfies the inequality.

Evaluation of the Effect of Fracture Resistance Curve Change Owing to the Presence or Absence of Side Groove in C(T) Specimen on Finite Element Failure Model Parameter Determination (C(T) 시편 측면 홈 유무에 따른 파괴저항곡선 변화가 유한요소 손상모델 변수 결정에 미치는 영향 평가)

  • Kim, Hune-Tae;Ryu, Ho-Wan;Kim, Yun-Jae;Kim, Jong-Sung;Choi, Myung-Rak;Kim, Jin-Weon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.6
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    • pp.539-546
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    • 2016
  • In this paper, the effect of J-R curve changes on the determination of parameters in a failure model owing to the presence or absence of a side groove in a C(T) specimen is investigated. A stress-modified fracture strain model is implemented for FE damage simulations. C(T) specimens were taken from SA508 grade 1a low-alloy steel piping material, and some of them were processed with a side groove. Fracture toughness tests were performed at room temperature and at $316^{\circ}C$. The parameters of the failure model were determined by damage simulations using the J-R curves obtained from the tests. Finally, the results show that the determination of failure model parameters is not affected by variations in J-R curves owing to the presence or absence of a side groove.

Kinetics of Anhydride Curing of Epoxy : Effect of Chain Length of Anhydride (에폭시 무수화물 경화의 동력학적 연구: 무수화물의 사슬 길이 효과)

  • Chung, I.;Lee, J.
    • Elastomers and Composites
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    • v.40 no.1
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    • pp.3-11
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    • 2005
  • The ruling kinetics of epoxy resins with 3 different kinds or alkenylsuccinic anhydride (ASA) having C-8, C-12, and C-16 pendant side chain length with two different catalysts was studied by using differential scanning calorimetry (DSC). Nonisothermal and isoconversional method has been used for characterizing the effect of the pendant side chain length in the curing process. Results or nonisothermal method showed that there was no significant difference in the effect of the pendant side chain length of ASA. But isoconversional analysis showed that the value of the activation energy for the initiation reaction or C-8, C-12, and C-16 were $61.7{\sim}57.7kJ/mol$, $63.0{\sim}57.3 kJ/mol$, and $130.4{\sim}94.2 kJ/mol$, respectively, depending on the catalyst used. The values of activation energy for the initiation is different as reported value of 20 kJ/mol which indicating the difference in the effect of the pendant side chain length of ASA in the initial stage of the reaction.