• Title/Summary/Keyword: theory lattice

검색결과 165건 처리시간 0.025초

Miscibility of Branched Polycarbonate Blends with Poly(ethylene-co-1,4-dimethyl cyclohexane terephthalate) Copolyesters

  • Song, Jeong-Oh;Jeon, Mi-Young;Kim, Chang-Keun
    • Macromolecular Research
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    • 제15권7호
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    • pp.640-645
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    • 2007
  • The phase behavior of branched polycarbonate (BPC) blends with poly(ethylene terephthalate-co-1,4-dimethyl cyclohexane terephthalate) copolyesters (PECT), as well as their rheological properties, were assessed. Even though BPC blends with PECT prepared by solvent casting proved to be immiscible, BPC and PECT copolyesters containing 1,4-dimethyl cyclohexane (CHDM) from 32 to 80 mole% formed homogeneous mixtures upon heating. The homogenization temperatures of the blends decreased with increasing CHDM content in PECT. The interaction energies of the BPC-PECT pairs calculated from the phase boundary in accordance with the lattice-fluid theory were positive and also decreased with increasing CHDM content in PECT. It was shown that the phase homogenization of these blends occurs upon heating when the combinatorial entropy term, which is favorable for miscibility, overcomes unfavorable energetic terms at elevated temperatures. A novel product, which is not limited by the drawbacks of linear polycarbonate (PC) and evidences processability superior to that of the PC/PECT blends, can be developed via the blending of BPC and PECT.

Phase Behavior of Binary and Ternary Blends Having the Same Chemical Components and Compositions

  • Yoo, Joung-Eun;Kim, Yong;Kim, Chang-Keun;Lee, Jae-Wook
    • Macromolecular Research
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    • 제11권5호
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    • pp.303-310
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    • 2003
  • The phase behavior of binary blends of dimethylpolycarbonate-tetramethyl polycarbonate (DMPCTMPC) copolycarbonates and styrene-acrylonitrile (SAN) copolymers has been examined and then compared with that of DMPC/TMPC/SAN ternary blends having the same chemical components and compositions except that the DMPC and TMPC were present in the form of homopolymers. Both binary and ternary blends were miscible at certain blends compositions, and the miscible blends showed the LCST-type phase behavior or did not phase separated until thermal degradation temperature. The miscible region of binary blends is wider than that of the corresponding ternary blends. Furthermore, the phase-separation temperatures of miscible binary blends are higher than those of miscible ternary blends at the same chemical compositions. To explain the destabilization of polymer mixture with the increase of the number of component, interaction energies of binary pairs involved in these blends were calculated from the phase separation temperatures using lattice-fluid theory and then the phase stability conditions for the polymer mixture was analyzed with volume fluctuation thermodynamics.

산소 1기압하에서 합성된 산소결함 Perovskite(CaLa)(MgMn)O$_{5.43}$의 물리화학적 특성연구 (Oxygen-Deficient Perovskite, (CaLa) (MgMn)O5.43 Prepared Under Oxygen Gas Pressure of 1 Bar)

  • 최진호;홍승태;김승준
    • 한국세라믹학회지
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    • 제28권8호
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    • pp.603-610
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    • 1991
  • An oxygen deficient perovskite (CaLa)(MgMn)O5.43, with the cubic unit cell parameter of 3.826$\AA$, was prepared 115$0^{\circ}C$ for 10 hrs under the ambient oxygen gas pressure. The average oxidation state of manganese was determined to be 3.86 by the iodometric titration, so that the perovskite could be formulated as (CaLa) ({{{{ { MgMn}`_{ chi } ^{II } }}{{{{ { Mn}`_{ y} ^{III } }}{{{{ { Mn}`_{1- chi -y } ^{IV } }})O5.43 (2x+y=0.14). From X-ray photoelectron spectroscopy, the manganese ions in the lattice are mostly tetravalent, but two paramagnetic configurations were observed in the EPR spectrum: One sharp isotropic signal with hyperfines (ΔH 50 G, g=1.997$\pm$0.002 and │A│=82(4)$\times$10-4 cm-1) and a broad isotropic one (ΔH 1600 G, g=1.994$\pm$0.002), those which correspond respectively to Mn(II) and Mn(IV) ions. According to the magnetic susceptibility measurement, it follows the Curie-Weiss law from 20 K up to room temperature with $\mu$eff=5.23 $\mu$B, which is relatively larger than spin-only value({{{{ { mu }`_{eff} ^{s.o } }}=4.04 $\mu$B) due to the effect of weak ferromagnetic coupling. Such a result is in accord with a theory of semicovalence exchange.

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한국 전통목가구 평상(平床) 연구 2 - 평상을 적용한 모듈화 다용도 침대 개발 - (A Study on Traditional Korean Furniture, PyeongSang II - Developing Modularized and Multi-useful Bed adopting PyeongSang -)

  • 김민경;문선옥
    • 한국가구학회지
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    • 제28권3호
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    • pp.145-155
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    • 2017
  • This study explores developing a piece of modularized and multi-useful bed adapting PyeongSang followed by the last issue, 'a study on traditional Korean furniture, PyeongSang I' for the understanding of the furniture from theory and history. Adopted From the joints and ornament, the modularized elements were designed and developed in order to compose the head board, the side board, the foot board, and the seat bottom. The joints are sambang miter, samae miter, dado, and mortise and tenon, which are strong in holding the bed. And the ornament is lattice patterns like geokjamun and manjamun, elephant eyes patterns like ansangmun from the traditional furniture. Using the elements, the bed is composed with six modules which make people free and easy to move and transform them. Hence, the bed is multi-useful by using the double, the twin the single, and various sofas by the way to display them such as two, three, four, five, and six modules. And the bed was made of bright zelkova tree and dark heat treated ash expressing contrast of black and white, the design concept modern and easy to make many people access to them.

Identification of crystal variants in shape-memory alloys using molecular dynamics simulations

  • Wu, Jo-Fan;Yang, Chia-Wei;Tsou, Nien-Ti;Chen, Chuin-Shan
    • Coupled systems mechanics
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    • 제6권1호
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    • pp.41-54
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    • 2017
  • Shape-memory alloys (SMA) have interesting behaviors and important mechanical properties due to the solid-solid phase transformation. These phenomena are dominated by the evolution of microstructures. In recent years, the microstructures in SMAs have been studied extensively and modeled using molecular dynamics (MD) simulations. However, it remains difficult to identify the crystal variants in the simulation results, which consist of large numbers of atoms. In the present work, a method is developed to identify the austenite phase and the monoclinic martensite crystal variants in MD results. The transformation matrix of each lattice is calculated to determine the corresponding crystal variant. Evolution of the volume fraction of the crystal variants and the microstructure in Ni-Ti SMAs under thermal and mechanical boundary conditions are examined. The method is validated by comparing MD-simulated interface normals with theoretical solutions. In addition, the results show that, in certain cases, the interatomic potential used in the current study leads to inconsistent monoclinic lattices compared with crystallographic theory. Thus, a specific modification is applied and the applicability of the potential is discussed.

Electronic Structure and Half-Metallicity in the Zr2RuZ (Z = Ga, In, Tl, Ge, Sn, and Pb) Heusler Alloys

  • Eftekhari, A.;Ahmadian, F.
    • Journal of the Korean Physical Society
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    • 제73권9호
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    • pp.1370-1376
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    • 2018
  • The electronic structures, magnetic properties and half-metallicity in $Zr_2RuZ$ (Z = Ga, In, Tl, Ge, Sn, and Pb) alloys with $AlCu_2Mn-$ and $CuHg_2Ti$-type structures were investigated using first-principles density functional theory (DFT) calculations. The calculations showed that $Zr_2RuIn$, $Zr_2RuTl$, $Zr_2RuSn$, and $Zr_2RuPb$ compounds with $CuHg_2Ti$-type structures were half-metallic ferromagnets with half-metallic band gaps of 0.18, 0.24, 0.22, and 0.27 eV, respectively. The half-metallicity originated from d-d and covalent hybridizations between the transition metals Zr and Ru. The total magnetic moments of the $Zr_2RuZ$ (Z = In, Tl, Sn, and Pb) compounds with $CuHg_2Ti$-type structures were integer values of $1{\mu}B$ and $2{\mu}B$, which is in agreement with Slater-Pauling rule ($M_{tot}=Z_{tot}-18$). Among these compounds, $Zr_2RuIn$ and $Zr_2RuTl$ were half-metals over relatively wide regions of the lattice constants, indicating that these two new Heusler alloys are ideal candidates for use in spintronic devices.

The clustering of critical points in the evolving cosmic web

  • Shim, Junsup;Codis, Sandrine;Pichon, Christophe;Pogosyan, Dmitri;Cadiou, Corentin
    • 천문학회보
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    • 제46권1호
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    • pp.47.2-47.2
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    • 2021
  • Focusing on both small separations and baryonic acoustic oscillation scales, the cosmic evolution of the clustering properties of peak, void, wall, and filament-type critical points is measured using two-point correlation functions in ΛCDM dark matter simulations as a function of their relative rarity. A qualitative comparison to the corresponding theory for Gaussian random fields allows us to understand the following observed features: (i) the appearance of an exclusion zone at small separation, whose size depends both on rarity and signature (i.e. the number of negative eigenvalues) of the critical points involved; (ii) the amplification of the baryonic acoustic oscillation bump with rarity and its reversal for cross-correlations involving negatively biased critical points; (iii) the orientation-dependent small-separation divergence of the cross-correlations of peaks and filaments (respectively voids and walls) that reflects the relative loci of such points in the filament's (respectively wall's) eigenframe. The (cross-) correlations involving the most non-linear critical points (peaks, voids) display significant variation with redshift, while those involving less non-linear critical points seem mostly insensitive to redshift evolution, which should prove advantageous to model. The ratios of distances to the maxima of the peak-to-wall and peak-to-void over that of the peak-to-filament cross-correlation are ~2-√~2 and ~3-√~3WJ, respectively, which could be interpreted as the cosmic crystal being on average close to a cubic lattice. The insensitivity to redshift evolution suggests that the absolute and relative clustering of critical points could become a topologically robust alternative to standard clustering techniques when analysing upcoming surveys such as Euclid or Large Synoptic Survey Telescope (LSST).

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백운모 내 리튬 함유에 대한 Fe 치환의 영향 (Effects of Fe Substitution on Lithium Incorporation into Muscovite)

  • 채진웅;권기덕
    • 한국광물학회지
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    • 제28권2호
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    • pp.127-133
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    • 2015
  • 리튬-함유 백운모는 삼팔면체 레피돌라이트(lepidolite)와 함께 화강암 페그마타이트 주변에서 발견되는 대표적인 리튬광물 중 하나이다. 백운모 결정구조를 고려하면 $Li^+$ 이온은 층간 $K^+$ 자리(Int)에 위치하거나 $Al^{3+}$ 팔면체층의 원자 빈자리(Sub)에 위치할 수 있지만, 실험만으로 백운모의 리튬 함유기작을 규명하는데 어려움이 있다. 이번 연구에서는 밀도범함수(density functional theory, DFT)를 사용하여 백운모 결정구조 내에 $Li^+$이 함유되는 위치와 이에 따른 미시적 구조 및 에너지 변화를 조사하였다. $Li^+$이 Int 또는 Sub에 위치할 경우, 운모의 결정상수, ab 면과 가지는 수산기의 각, 층간 거리 등 상당한 차이를 보여주었다. 뿐만 아니라, DFT 에너지 계산은 순수 백운모 구조에서는 $Li^+$$K^+$를 대신하여 Int에 위치하는 것이 Sub에 위치하는 것보다 더 낮은 에너지를 보여주었다. 그러나 팔면체층에 $Fe^{2+}$ 치환이 일어난 경우에는, $Li^+$이 Sub에 위치하는 것이 오히려 더 낮은 에너지를 보여주었다. 이번 DFT 연구결과는 기존의 $Li^-$함유 백운모 화학분석으로부터 발견한 $Fe^{2+}$$Li^+$의 상관관계를 설명해 줄 수 있으며, 백운모의 $Li^+$ 함유기작에서 팔면체층의 양이온 치환의 중요한 역할을 제시한다.

알루미늄 규산염(Al2SiO5) 광물의 결정구조와 안정성에 대한 계산광물학 연구 (A Computational Mineralogy Study of the Crystal Structure and Stability of Aluminum Silicate (Al2SiO5) Minerals)

  • 김주혁;손상보;권기덕
    • 한국광물학회지
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    • 제31권1호
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    • pp.13-22
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    • 2018
  • 알루미늄 규산염($Al_2SiO_5$) 광물은 온도와 압력 환경에 따라 남정석, 홍주석, 규선석으로 상전이가 일어나는 동질이상(polymorph)으로 변성암의 변성정도를 유추하는 데 사용되는 중요한 광물이다. 이번 연구에서는 고전분자동력학 시뮬레이션(classical molecular dynamic simulations)과 양자역학 계산방법인 밀도범함수이론(density functional theory)을 이용하여 압력에 따른 알루미늄 규산염 광물의 결정구조와 엔탈피를 계산하고, 상대적인 안정성을 평가하였다. 격자상수 계산결과, 분자동력학과 밀도범함수이론 계산 모두 압력에 따라 부피가 줄어드는 기존의 실험결과와 동일한 경향을 보였다. 특히, 밀도범함수이론으로 얻어진 격자상수는 실험과 약 1% 이내의 오차로 매우 정확한 결과를 보였다. 그러나 엔탈피 계산 결과, 분자동력학에서는 압력에 따른 엔탈피의 변화가 거의 없어 광물 간 안정성이 역전되는 상전이 압력을 구할 수 없었다. 밀도범함수이론 계산 결과는 실험과 동일한 경향을 보여주었지만, 전자의 교환-상관 관계를 나타내는 범함수에 따라 상전이 압력이 크게 다른 결과를 보여주었다. 밀도범함수이론 계산 결과는 결정구조와 엔탈피에 대해서 모두 높은 수준의 정확도를 보여주지만, 동질이상의 상도표 작성에는 정량적으로 큰 오차를 보여주었다.

전자소자에서의 $\frac {1}{f}$잡음에 관한 연구 (A Study on the Theory of $\frac {1}{f}$ Noise in Electronic Devies)

  • 송명호
    • 한국통신학회논문지
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    • 제3권1호
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    • pp.18-25
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    • 1978
  • 반도체 소자에서 생기는 1/f 형의 잡음의 근원이 무엇인가에 대해 지금까지 여러 이론이 나왔다. 그중에도 Mcwhorter's Surface model이 대표적인 이론이었다. 그러나 Hooge는 이론에 반기를 들고 나왔다. Hooge의 이론에 의하면 thermo cell이나 Concentration cell에서의 1/f-형의 잡음이 표면효과(surface effect)가 아니라는 것이다. 본 논문에서는 이 두 대표적인 이론을 종합검토할 수 있는 Langenvin type의 Boltzmann transport equation에 입각하여 새로운 일반이론을 세웠다. 본 논문에서는 N형 채널을 갖고 있는 금속산화물반도체 전계효과 트랜지스터에서 단일준의 Shockley-Read-Hall recombination center에 의한 단락회로에서 드레인의 1/f-형 잡음스펙트럼을 계산하기 위해 시간에 따라 변화하는 양을 포함시키므로써 각 에너지대의 케리어에 대해 준-페르미준위를 정의할 수 없다고 가정했으므로, 1/f-형의 잡음은 다수케리어 효과에 기인한다고 가정했다. 이러한 가정하에서 유도된 1/f-형의 잡음은 금속산화물반도체 전계효과 트랜지스터에서 1/f-형의 잡음에 중요한 요인들을 모두 보여주었다. : 적주파에서 플렛티유를 나타내지 않았고 채널의 면적 A와 드레인 바이어스 전압 V에 비례하고 체널의 길이 L에 반비례한다. 본 논문의 모델에서는 1/f-응답에서 1/f2에 대한 잡음스트럼의 전이주파수와 P-n 합다이오우드의 surfact center에 관계되는 완화시간(relaxation time)에 대응하는 주파수 사이를 구별하여 설명할 수 있었다. 본 논문의 결과에서 1/f-형 잡음스펙트럼은 격자산란이 주원인이 된다. 금속산화물반도체 전계효과 트랜지스터를 살펴보면 격자산란이 주로 표면에서 일어나기 때문에 1/f-형 잡음이 표면효과라고 말할 수 있다.

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