• Title/Summary/Keyword: 에너지 범함수

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Rayleigh Method and Ritz Method (Rayleigh 방법과 Ritz 방법)

  • Park, Bo-Yong
    • Transactions of the Korean Society of Automotive Engineers
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    • v.17 no.4
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    • pp.108-117
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    • 2009
  • Leissa claimed in his article that the Rayleigh method is not the same as the Ritz method for determining natural frequencies and its corresponding mode shapes and contended that Rayleigh's name should not be attached to the method. The present article examines the methods in viewpoint of admissible functions and its minimization process, and of the historical developments. It concludes that Leissa's assertion is relevant, although Rayleigh did apply a conceptual theory systematized from the Lagrange method, and given 38 years earlier than Ritz's 'masterly exposition of theory'.

계산화학적 방법을 이용한 Triphenylsulfonium 양이온의 해리 반응 기작 연구

  • Hwang, In-Seung;Kim, Jong-Beom;Kim, Jae-Uk;Hong, Gwang-U;Kim, U-Yeon
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.1-7
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    • 2016
  • Triphenylsulfonium 양이온(TPS)은 잘 알려진 광산 생성자(photoacid generator, PAG)중 하나로 양이온성 중합반응(cationic polymerization)의 개시제로 널리 사용됐으며, 유기발광다이오드의 활성층, 폴리머 발광다이오드의 전자주입층을 구성하는 재료로도 사용되고 있다. TPS는 200nm 주변의 빛을 흡수하면 탄소-황 결합이 끊어져 페닐 라디칼과 diphenylsulfonium 양이온 라디칼로 분해되는 것이 알려져 있다. 본 연구에서는 밀도범함수이론과 시간의존 밀도범함수이론을 이용 triphenylsulfonium 이온의 광학적 특성을 조사하였다. 가장 안정한 구조를 기준으로 자외선 흡광 스펙트럼을 계산하였고, 실험값에 잘 맞는 것을 확인하였다. TPS의 빛에 의한 해리 과정을 알아보기 위해 페닐-황 결합 길이를 변화시키며 TPS의 흡광 스펙트럼을 계산, 여기상태 포텐셜 에너지 곡선을 구할 수 있었다. 결합의 분해에 이용되는 상태들은 주로 점유 분자 오비탈에서 최저준위 비점유 분자 오비탈(LUMO)로 들뜨는 성분을 가지고 있었는데, 이는 LUMO가 반결합성 오비탈이기 때문이다.

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DFT Investigation of Phase Stability of Magnesium Alanate (Mg(AlH4)2) for Reversible Hydrogen Storage (가역적 수소 저장을 위한 마그네슘 알라네이트 (Mg(AlH4)2) 나노 입자 활용 : 밀도범함수이론 연구)

  • DONG-HEE LIM;EUNMIN BAE;YOUNG-SOO HAN
    • Transactions of the Korean hydrogen and new energy society
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    • v.34 no.2
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    • pp.169-177
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    • 2023
  • Phase stability diagrams were constructed for magnesium alanate (Mg(AlH4)2) nanoparticles to investigate the reversible hydrogen storage reaction by using density functional theory. Our findings indicate that bulk Mg(AlH4)2 shows favorable hydrogen release, but unfavorable hydrogen uptake (adsorption) reactions. However, for Mg(AlH4)2 nanoparticles, it was observed that hydrogen release and recharge can be achieved by controlling the particle size and temperature. Furthermore, by predicting the decomposition phase diagram of Mg(AlH4)2 nanoparticles with varying hydrogen partial pressure, it was discovered that reversible dehydrogenation reactions can occur even in relatively large nanoparticles by controlling the hydrogen partial pressure.

Theoretical Study for the Structures and Binding Energies of HOOO-(H2O)n (n=1~5) Cluster (HOOO-(H2O)n (n=1~5) 클러스터의 구조와 에너지에 대한 이론적 연구)

  • Kim, Jong-Min;Hong, Sung-Yoon;Kim, Seung-Joon
    • Journal of the Korean Chemical Society
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    • v.59 no.5
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    • pp.387-396
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    • 2015
  • The DFT and ab initio calculations have been performed to elucidate hydrogen interaction of HOOO-(H2O)n (n=1~5) clusters. The optimized geometries, harmonic vibrational frequencies, and binding energies are predicted at various levels of theory. The trans conformer of HOOO monomer is predicted to be thermodynamically more stable than cis form at the CCSD(T) level of theory. For HOOO-(H2O)n clusters, the geometries are optimized at B3LYP/aug-cc-pVTZ and CAM-B3LYP/aug-cc-pVTZ levels of theory. The binding energy of HOOO-H2O cluster is predicted to be 6.05 kcal/mol at the MP2//CAM-B3LYP/ aug-cc-pVTZ level of theory after zero-point vibrational energy (ZPVE) and basis set superposition error (BSSE) correction. The average binding energy per H2O is increased according to adding a H2O moiety in HOOO-(H2O)n clusters up to 7.2 kcal/mol for n=5.

Theoretical Study on the Hydrogen-Bonding Effect of H2On-H2Om (n=1-4, m=1-4) Dimers (H2On-H2Om (n=1-4, m=1-4) 이중합체의 수소결합에 따른 구조적 특성 및 결합에너지에 관한 이론 연구)

  • Song, Hui-Seong;Seo, Hyun-Il;Shin, Chang-Ho;Kim, Seung-Joon
    • Journal of the Korean Chemical Society
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    • v.59 no.2
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    • pp.117-124
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    • 2015
  • The DFT and ab initio calculations have been performed to elucidate hydrogen interaction of hydrogen polyoxide dimers, $H_2O_n-H_2O_m$ (n=1-4, m=1-4). The optimized geometries, harmonic vibrational frequencies, and binding energies are predicted at various levels of theory. The harmonic vibrational frequencies of the molecules considered in this study show all real numbers implying true minima. The higher-order correlation effect were discussed to compare MP2 result with CCSD(T) single point energy. The binding energies were corrected for the zero-point vibrational energy (ZPVE) and basis set superposition errors (BSSE). The largest binding energy predicted at the CCSD(T)/cc-pVTZ level of theory is 8.18 kcal/mol for $H_2O_4-H_2O_3$ and the binding energy of water dimer is predicted to be 3.00 kcal/mol.

범밀도 함수 계산을 이용한 Bi2Se3 (111)의 산소 흡착 농도 연구

  • Sin, Eun-Ha
    • Proceeding of EDISON Challenge
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    • 2014.03a
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    • pp.492-494
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    • 2014
  • 위상부도체(Topological insulator, (TI))는 특이한 금속성 표면 성질을 가지며 이 물질에 대해 많은 물성연구가 이루어져 오고 있다. TI 물질 중 하나인 $Bi_2Se_3$는 스핀트로닉스 또는 양자 컴퓨팅 분야에 전망이 밝은 물질이다. 본 논문에서는 $Bi_2Se_3$ (111) 표면의 산화농도에 대해 조사하였다. 결함이 없는 깨끗한 표면에서는 산소의 농도가 높을 때 에너지적으로 안정하며 표면결함이 있을 때에는 표면결함과 결합한 산소의 농도가 낮을 때 에너지적으로 안정한 것으로 나타났다. $Bi_2Se_3$ (111) 표면 산화 연구에서는 표면 점결함의 존재와 산소 농도를 함께 고려해야 할 것이다.

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The Effect of Exchange and Correlation on Properties of Carbon Nanotube Structure: A DFT study (탄소 나노 튜브 구조의 특성에 대한 교환과 상관 효과: DFT 연구)

  • Bakhshi, K.;Mollaamin, F.;Monajjemi, M.
    • Journal of the Korean Chemical Society
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    • v.55 no.1
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    • pp.7-13
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    • 2011
  • As an aid towards improving the treatment of exchange and correlation effects in electronic structure calculations, it is desirable to have a clear picture of concepts of exchange-correlation functionals in computational calculations. For achieving this aim, it is necessary to perform different theoretical methods for many groups of materials. We have performed hybrid density functional theory (DFT) methods to investigate the density charges of atoms in rings and cages of carbon nanotube. DFT methods are engaged and compared their results. We have also been inclined to see the impression of exchange and correlation on nuclearnuclear energy and electron-nuclear energy and kinetic energy. With due attention to existence methods, B3P86, B3PW91, B1B96, BLYP and B3LYP have used in this work.

Theoretical Investigation for the Adsorption of Various Gases (COx, NOx, SOx) on the BN and AlN Sheets (N과 AlN 시트에 다양한 기체(COx, NOx, SOx)의 흡착에 관한 이론 연구)

  • Kim, Sung-Hyun;Kim, Baek-Jin;Shin, Chang-Ho;Kim, Seung-Joon
    • Journal of the Korean Chemical Society
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    • v.61 no.1
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    • pp.16-24
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    • 2017
  • The adsorption of various atmospheric harmful gases ($CO_x$, $NO_x$, $SO_x$) on graphene-like boron nitride(BN) and aluminum nitride(AlN) sheets was theoretically investigated using density functional theory (DFT) and MP2 methods. The structures were fully optimized at the $B3LYP/6-31G^{**}$ and $CAM-B3LYP/6-31G^{**}$ levels of theory and confirmed to be a local minimum by the calculation of the harmonic vibrational frequencies. The MP2 single-point binding energies were computed at the $CAM-B3LYP/6-31G^{**}$ optimized geometries. Also the zero-point vibrational energy (ZPVE) and 50%-basis set superposition error (BSSE) corrections were included. The adsorptions of gases on the BN sheet were predicted to be a physisorption process and the adsorptions of gases on the AlN sheet were predicted to be a physisorption process for $CO_x$ and $NO_x$ but to be a chemisorption process for $SO_x$.

Theoretical Investigation for the Structures and Binding Energies of H2O3 and Water (H2O) Clusters (H2O3과 물(H2O) 클러스터들의 분자구조와 열역학적 안정성에 대한 이론적 연구)

  • Seo, Hyun-il;Kim, Jong-Min;Song, Hui-Sung;Kim, Seung-Joon
    • Journal of the Korean Chemical Society
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    • v.61 no.6
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    • pp.328-338
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    • 2017
  • The density functional theory(DFT) and ab initio calculations have been applied to investigate hydrogen interaction of $H_2O_3(H_2O)_n$ clusters(n=1-5). The structures, IR spectra, and H-bonding energies are calculated at various levels of theory. The $trans-H_2O_3$ monomer is predicted to be thermodynamically more stable than cis form at the CCSD(T)/cc-pVTZ level of theory. For clusters, the geometries are optimized at the MP2/cc-pVTZ level of theory. The binding energy of $H_2O_3-H_2O$ cluster is predicted to be -6.39 kcal/mol at the CCSD(T)//MP2/cc-pVTZ level of theory after zero-point vibrational energy (ZPVE) and basis set superposition error (BSSE) correction. This result implies that $H_2O_3$ is a stronger proton donor(acid) than either $H_2O$ or $H_2O_2$. The average binding energies per $H_2O$ are predicted to be 8.25 kcal/mol for n=2, 7.22 kcal/mol for n=3, 8.50 kcal/mol for n=4, and 8.16 kcal/mol for n=5.

The Study on Prediction of Oxidative Decomposition Potential by Comparison between Simulation and Electrochemical Methods to Develop the Binder for High-voltage Lithium-ion Batteries (고전압용 리튬이차전지 바인더 개발을 위한 시뮬레이션 및 전기화학 평가 비교를 통한 산화분해전압 예측 연구)

  • Yu, Jee Min;Kashaev, Alexey;Lee, Maeng-Eun
    • Journal of the Korean Electrochemical Society
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    • v.16 no.3
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    • pp.177-183
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    • 2013
  • As the development of available binder in the harsh conditions is needed, we propose the proper binder for high-voltage lithium-ion secondary batteries based on the quantum chemistry modeling. The optimized structures, HOMO (Highest Occupied Molecular Orbital) energies and ionization potentials of 4 binders, which were considered from monomer to tetramer, were investigated by the semi-empirical and DFT (Density Functional Theory) calculations. The results show that the ionization potential values by calculation tend to be close to the oxidation potentials from the measurement of linear sweep voltametry (LSV). The order of oxidative resistance from high value to low value is following: poly(hexafluropropylene), poly(vinylidene fluoride), poly(methyl acrylate) and poly(acryl amide). Also these results correspond with the experimental values. Thus, we find the reason why HOMO (Highest Occupied Molecular Orbital) energy of PHFP has the highest value than other binders by analysis of HOMO orbital structures.