• 충청수학회지
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• 제34권1호
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• pp.17-26
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• 2021

The purpose of this paper is to determine the structure of the crystallographic group 𝚷 of the 4-dimensional solvable Lie group Sol ⁴_m,n that the translation subgroup of 𝚷, 𝚪 := 𝚷; ∩ Sol⁴_m,n, is generated by the particular elements.

• 통합자연과학논문집
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• 제14권3호
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• pp.139-146
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• 2021

The purpose of this paper is to classify the torsion-free extensions 1→ℤ³→𝛱→ℤ_𝜱→1 with injective abstract kernel 𝜙 : ℤ_𝜱→Aut(ℤ³). From this classification, we handle the sufficient conditions so as to classify the crystallographic groups of Sol⁴_m,n.

• 한국세라믹학회지
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• 제29권4호
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• pp.328-334
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• 1992

TiO2 sols were prepared by hydrolysis and polymerization of titanium tetra-isopropoxide (TTIP) in the presence of diethanolamine (DEA). The optimal mole ratio of water to TTIP is 2 and the concentration of the TiO2 sol 0.7 M. Golden TiN films without cracks were obtained by dipping Si(110) wafers into the TiO2 sol and followed by nitridation in NH3 at 1100$^{\circ}C$ for 5 h. The TiN films were studied by an optical microscope, DTA, TGA and X-ray analysis.

• 한국세라믹학회지
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• 제33권10호
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• pp.1079-1088
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• 1996

Discontinuous ${\gamma}$-LiAlO2 fibers for fiber-reinforcing MCFC matrixes have been produced by the sol-gel process using the centrifugal spinning apparatus of the Rotary type. Gel fibers could be obtained through spinning of stable LiAlO2 complex polymetric sols under the optimum spinning conditions (hollow-disc rotating velocity 9000 rpm sol feeding rate of 4ml/min flowing N2 temperature of 4$0^{\circ}C$ and flowing N2 pressure of 4 bar). It was found that defect free and densified ${\gamma}$-LiAlO2 fibers with the relative density of 98% and the mean diameter of 4.7${\mu}{\textrm}{m}$ were prepared when the spinned fibers were heat-treated to 100$0^{\circ}C$ on the specified heating schedule. in particular the mean diameter and length of fibers could be controlled by the pressure of flowing N2 and the chopping-sieving method respectively.

• 한국세라믹학회지
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• 제29권5호
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• pp.357-366
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• 1992

Residual organics were considered as impurity in Sol-Gel method. The purpose of this study was to find the conditions to contain as much residual organics as possible in silica gel prepared from TEOS(tetraethylortho-silicate) by Sol-Gel method. Residual organics are to be expected to have reduction effect on synthesizing Si3N4 from silica gel. The results of this study are follows: 1) The maximum content of entrapped carbon was 19.8 wt.%(C/SiO2=0.25 wt.ratio) in silica gel synthesized under the conditions 1.5 fold mole water for incomplete hydrolysis, 2.5 fold mole phenol as a solvent and 0.1 fold mole HCl as a catalyst to TEOS. 2) Silica gel with organics entrapped by Sol-Gel method had a positive effect on the formation of Si3N4 compared with commercial silica gel. 3) Sintered body of synthesized $\alpha$-Si3N4 with Y2O3 and Al2O3 as additives at 175$0^{\circ}C$ in N2 atmosphere showed bending strength, 602$\pm$20 MPa and frature toughness 4.45$\pm$0.15 MPa.m1/2.

• 대한수학회지
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• 제44권5호
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• pp.1121-1137
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• 2007

There are 7 types of 4-dimensional solvable Lie groups of the form ${\mathbb{R}^3}\;{\times}_{\varphi}\;{\mathbb{R}}$ which are unimodular and of type (R). They will have left. invariant Riemannian metrics with maximal symmetries. Among them, three nilpotent groups $({\mathbb{R}^4},\;Nil^3\;{\times}\;{\mathbb{R}\;and\;Nil^4)$ are well known to have lattices. All the compact forms modeled on the remaining four solvable groups $Sol^3\;{\times}\;{\mathbb{R}},\;Sol_0^4,\;Sol_0^'4\;and\;Sol_{\lambda}^4$ are characterized: (1) $Sol^3\;{\times}\;{\mathbb{R}}$ has lattices. For each lattice, there are infra-solvmanifolds with holonomy groups 1, ${\mathbb{Z}}_2\;or\;{\mathbb{Z}}_4$. (2) Only some of $Sol_{\lambda}^4$, called $Sol_{m,n}^4$, have lattices with no non-trivial infra-solvmanifolds. (3) $Sol_0^{'4}$ does not have a lattice nor a compact form. (4) $Sol_0^4$ does not have a lattice, but has infinitely many compact forms. Thus the first Bieberbach theorem fails on $Sol_0^4$. This is the lowest dimensional such example. None of these compact forms has non-trivial infra-solvmanifolds.

• 한국자기학회지
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• 제16권5호
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• pp.245-248
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• 2006

Sol-gel법을 이용하여 단일상을 갖는 $Tb_{3-x}Bi_xFe_5O_{12}$ 분말 시료를 제조하였으며, 그 결정학적 및 자기적 특성을 x-선 회절법(XRD), 진동 시료 자화율 측정법(VSM), $M\"{o}ssbauer$ 분광법으로 연구하였다. XRD 분석 결과 결정구조는 Ia3d의 공간그룹을 갖는 cubic 구조임을 알 수 있었고, Bismuth의 치환량이 x=0.5, 0.75, 1.0 및 1.25로 증가할수록 격자상수가 각각 $a_0=12.466{\AA},\;12.487{\AA},\;12.499{\AA},\;12.518{\AA}$으로 선형적으로 증가함을 확인할 수 있었다. VSM을 이용한 온도에 따른 자기모멘트 측정 결과 Bismuth의 치환량이 증가하면 $N\'{e}el$ 온도는 증가하며 compensation 온도는 감소함을 확인할 수 있었다. 또한 field cooled 조건에서 비정상적인 음의 자화값이 관측되었다. $M\"{o}ssbauer$ 스펙트럼은 4.2 K에서부터 $N\'{e}el$ 온도까지 측정하였으며, 분석 결과 상온에서 모든 시료의 이성질체 이동치의 값은 평균적으로 0.27mm/s로 철의 이온상태가 +3가 임을 확인할 수 있었다.

• 전기화학회지
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• 제6권4호
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• pp.266-270
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• 2003

우수한 전기화학적 특성을 갖는 $LiN_{0.8}Co_{0.2}O_2$ 정극 활물질을 평균 $1{\mu}m$ 이하의 균일한 입자 분포를 얻을 수 있는 액상 반응법의 하나인 졸겔법을 이용하여 제조하였다. 제조된 $LiN_{0.8}Co_{0.2}O_2$를 X선 회절과 TEM(transmission electron microscopy)분석을 통하여 미세구조를 분석하였다. 충방전 실험전과 실험후의 미세구조의 변화에 중점을 주어 실험하였으며, 그 결과 졸겔법으로 제조된$LiN_{0.8}Co_{0.2}O_2$ 정극 활물질은 높은 가역 용량을 가지며 뛰어난 싸이클 특성을 가지고 있다 이는 졸겔법으로 제소함으로 인하여 Ni과 Co양이온의 균일한 화학조성을 가지고 있기 때문이라 생각된다. 특히 $LiCoO_2$에서 관찰되었던 cubic spinel disordering과 심각한 구조적 결함이 관찰되지 않았다. 또한 Al 치환으로 인하여 싸이클 특성을 좋아졌지만 용량은 감소하였다.

• Bulletin of the Korean Chemical Society
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• 제27권1호
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• pp.65-70
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• 2006

An amperometric glucose biosensor has been developed based on the use of the nanoporous composite film of sol-gel-derived zirconia and perfluorosulfonated ionomer, Nafion, for the encapsulation of glucose oxidase (GOx) on a platinized glassy carbon electrode. Zirconium isopropoxide (ZrOPr) was used as a sol-gel precursor for the preparation of zirconia/Nafion composite film and the performance of the resulting glucose biosensor was tuned by controlling the water content in the acid-catalyzed hydrolysis of sol-gel stock solution. The presence of Nafion polymer in the sol-gel-derived zirconia in the biosensor resulted in faster response time and higher sensitivity compared to those obtained at the pure zirconia- and pure Nafion-based biosensors. Because of the nanoporous nature of the composite film, the glucose biosensor based on the zirconia/Nafion composite film can reach 95% of steady-state current less than 5 s. In addition, the biosensor responds to glucose linearly in the range of 0.03-15.08 mM with a sensitivity of 3.40 $\mu$A/mM and the detection limit of 0.037 mM (S/N = 3). Moreover, the biosensor exhibited good sensor-to-sensor reproducibility (~5%) and long-term stability (90% of its original activity retained after 4 weeks) when stored in 50 mM phosphate buffer at pH 7 at 4 ${^{\circ}C}$.

• 멤브레인
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• 제18권2호
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• pp.176-184
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• 2008

본 연구에서 졸-겔 방법에 의하여 나노 기공을 가지는 세라믹막을 제조하여 단일 조성의 헬륨과 질소를 가지고 기체투과 실험을 수행하였다. 기공 크기 $0.1{\mu}m$, 기공율 32%의 평막형 ${\alpha}-Al_2O_3$ 지지체를 제조하였으며, 지지체를 담지하여 코팅하는 방법으로 4nm의 기공 크기를 가지는 ${\gamma}-Al_2O_3$ 중간층을 제조하였다. 실리카 졸은 TEOS의 산 촉매 가수분해와 축중합반응을 통하여 합성하였다. 막은 딥코팅과 소결과정을 거쳐 제조되었다. 졸-겔 법에 의해 합성된 세라믹 막을 통한 헬륨, 질소 투과 실험은 기체의 투과 특성을 파악하기 위하여 시행하였다. 질소에 대한 헬륨의 선택도는 $100{\sim}160$ 정도였으며 헬륨의 투과도는 $303{\sim}363K$의 온도 범위에서 $10^{-7}mol/m^2{\cdot}s{\cdot}Pa$ 정도였다.