• Communications of the Korean Mathematical Society
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• v.20 no.2
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• pp.351-358
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• 2005

We study asymptotic equivalence between nonlinear difference system $$\Delta\chi(n)=f(n,\chi(n))$$ and its variational system $${\Delta}v(n)=f_{\chi}(n,0)v(n)$$.

• Journal of the Korean Chemical Society
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• v.46 no.3
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• pp.187-193
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• 2002

The reaction rates of substituted 6-chloroquinoline with p-substituted benzoyichorides $p-CH_3,$ p-H, $p-NO_2$ have been measured by conductometry in acetonitrile, and the constants are determined at various temperatures (10, 15, 20, $25^{\circ}C$) and pressures (1, 200, 500, 1000 bar). From the values of rate constants, the activation parameters (Ea, ${\Delta}V^{\neq}$, ${\Delta}H^{\neq}$, ${\Delta}S^{\neq}$, ${\Delta}G^{\neq}$) and the pressure dependence of Hammett p values were determined. The rate constants increased with increasing temperatures and pressures, and are further increased to introduction to the electron donor substiuents in substrate $(p-NO_2)$ with 6-chloroqinoline. When the activation volume and the activation entropy are all negative And the Hammett p values are positive for the substrate over the pressure and temperature range studied. The results of kinetic studies for pressure and substituent show that thease reactions proceed in typical $S_N2$ reaction mechanism and "associative $S_N2$" in bond formation favored with increasing pressures.

• Journal of the Korean Chemical Society
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• v.47 no.3
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• pp.206-212
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• 2003

The reaction rates of substituted quinolines (6-Clqui., qui.) with p-substituted benzoylchlorides $(p-CH_3,\;p-H,\;p-NO_2)$ have been measured by conductometry in acetonitrile, and the rate constants are determined at various temperatures (10, 15, 20, $25^{\circ}C$) and pressures (1, 200, 500, 1000 bar). From the values of rate constants, the activation parameters $(Ea,\;{\Delta}V^{\neq},\;{\Delta}H^{\neq},\;{\Delta}S^{\neq}, \;{\Delta}G^{\neq})$and the pressure dependence of Hammett ρ values were determined. The rate constants increased with increasing temperatures and pressures, and are further increased to introduction to the electron acceptor substituents in substrate $(p-NO_2)$ with quinoline. The activation volume and the activation entropy are all negative. And the Hammett p values are negative for nucleophile ${\rho}_X$ and positive for the substrate ${\rho}_Y$ over the pressure range studied. The results of kinetic studies for pressure and substituent show that these reactions proceed through a typical $S_N2$ reaction mechanism and "associative $S_N2$" favoring bond formation with increasing pressures.

• Journal of the Korean Vacuum Society
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• v.6 no.1
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• pp.36-43
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• 1997

FECAPS(ferroelectric capacitors) have been fabricated by RF magnetron sputtering deposition of 3000$\AA$ PZT thin films on the Pt/Ti/$SiO_2$/Si substrates and post-annealing with the temperature of $550^{\circ}C$~$650^{\circ}C$ for 10 sec~50 sec in a RTA system. The electrical characteristics of the fabricated capacitors showed the highest dielectric constant and remanent polarization[${\varepsilon_r(1kHz)$=690, $2P_r$(-5V~5V sweep)=22$\mu$C/$ \textrm{cm}^2$] in the samples annealed at $650^{\circ}C$ for 30 sec, while the lowest tangent loss and leakage current [$tan\delta(\ge10kHz)\le0.02, \; J_i(5V)=3\mu\textrm{A}/\textrm{cm}^2$]in the samples annealed at $600^{\circ}C$ for 30 sec.

• Journal of the Korean Chemical Society
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• v.16 no.5
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• pp.290-297
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• 1972

We have obtained the results of Cannizzaro reaction of furfural, 5-methylfurfural and 5-bromofurfural by using alcoholic potassium hydroxide solution in 95% (V/V) methanol solvent at $0{\sim}40^{\circ}C$. The results are as follows: 1) Their Cannizzaro reaction is fourth-order reaction, and the reaction of furfural proceeds 3 times as rapid as that of 5-methylfurfural and 10 times as slow as that of 5-bromofurfural. 2) Their activation energies of furfural, 5-methylfurfural and 5-bromofurfural in the reaction are 10.46Kcal/mole, 16.27Kcal/mole, and 9.62Kcal/mole respectively, and the calculated activation parameters, and ${\Delta}S^{\neq}$, increase in the order of 5-bromofurfural, furfural and 5-methyl-furfural.

• Communications of the Korean Mathematical Society
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• v.38 no.3
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• pp.741-754
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• 2023

In this paper, we study the existence and nonexistence of solutions for a class of Hamiltonian strongly degenerate elliptic system with subcritical growth $$\left{\array{-{\Delta}_{\lambda}u-{\mu}v={\mid}v{\mid}^{p-1}v&&\text{in }{\Omega},\\-{\Delta}_{\lambda}v-{\mu}u={\mid}u{\mid}^{q-1}u&&\text{in }{\Omega},\\u=v=0&&\text{ on }{\partial}{\Omega},}$$ where p, q > 1 and Ω is a smooth bounded domain in ℝ^N, N ≥ 3. Here Δ_λ is the strongly degenerate elliptic operator. The existence of at least a nontrivial solution is obtained by variational methods while the nonexistence of positive solutions are proven by a contradiction argument.

• Nonlinear Functional Analysis and Applications
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• v.27 no.2
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• pp.349-361
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• 2022

In this paper, we study the following nonlinear problem: $$\{-\Delta_{p}^{3}(x)u\;=\;{\lambda}V_{1}(x){\mid}u{\mid}^{q(x)-2}u\;in\;{\Omega},\\u\;=\;{\Delta}u\;{\Delta}^{2}u\;=\;0\;on\;{\partial}\Omega, $$ under adequate conditions on the exponent functions p, q and the weight function V₁. We prove the existence and nonexistence of eigenvalues for p(x)-triharmonic problem with Navier boundary value conditions on a bounded domain in ℝ^N. Our technique is based on variational approaches and the theory of variable exponent Lebesgue spaces.

• Journal of IKEEE
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• v.22 no.3
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• pp.786-792
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• 2018

A third-order sigma-delta modulator with the architecture of cascade of integrator feedback (CIFB) is proposed for an analog-digital converter used in low-power sensor interfaces. It consists of three switched-capacitor integrators using a gain-enhanced current-mirror-based amplifier, a single-bit comparator, and a non-overlapped clock generator. The proposed sigma-delta analog modulator with over-sampling ratio of 160 and maximum SNR of 90.45 dB is implemented using $0.11-{\mu}m$ CMOS process with 1.2-V supply voltage. The area and power consumption of the sigma-delta analog modulator are $0.145mm^2$ and $341{\mu}W$, respectively.

• Journal of the Korean Chemical Society
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• v.39 no.5
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• pp.350-355
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• 1995

UV spectrophotometric investigation has been carried out on the system of charge-transfer (CT) complex with iodine and tetramethyltin in carbon tetrachloride solvent. The transient CT absorption spectrum can be observed in ${\lambda}_{max}=270nm$ and the subsequent disappearance of CT absorption spectrum was accompained by the cleavage of tetramethyltin with iodine (iododestannylation). From there, the rate constants for the iododestannylation were determined at 10, 20 and $35^{\circ}C$ up to 1200 bar and the reaction rates were increased with increasing temperature and pressure. From these rate constants, the values of the activation parameters (${\Delta}V^{\neq},\;{\Delta}{\beta}^{\neq},\;{\Delta}H^{\neq}\;and\;{\Delta}S^{\neq}$) were obtained and from these values discussed in terms of solvent structure variation of transition state and mechanism. From these results, it was found that the reaction is followed with $S_F2$ mechanism and weakened $S_F2$ mechanism nature by increasing pressure.

• Journal of the Korean Chemical Society
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• v.27 no.5
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• pp.311-319
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• 1983

The dissociation constants of anilinium ion, o-toluidinium ion, phenol and o-chlorophenol were measured spectroscopically in aqueous solution over the temperature range of 10∼40$^{\circ}C$ and at the pressures up to 2,000 bars. The effects of temperature and pressure on the dissociation of the phenols are the same as those of the ordinary weak acids. Meanwhile the dissociation constants of anilinium ions are increased with temperature raising and decreased with pressure elevation. The effects of pressure on the constants can be explained by taking account of change of charge during dissociation reaction; there are increase in charge in the dissociation of phenols but anilinium ions are not. Several thermodynamic properties, ${\Delta}H^{circ}$,${\Delta}G^{circ}$, ${\Delta}S^{circ}$,${\Delta}V^{circ}$ and ${\beta}$ are calculated from those constants, and the dissociation reactions are discussed by them.