• 제목/요약/키워드: Hybrid density functional (B3LYP) calculations

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

  • Bakhshi, K.;Mollaamin, F.;Monajjemi, M.
    • 대한화학회지
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    • 제55권1호
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    • pp.7-13
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    • 2011
  • 전자구조의 계산에서 교환과 상관 효과에 대한 기술을 개선하기 위해서는 교환-상관범함수에 대한 개념을 명확히 하는 것이 바람직하다. 이 목적을 성취하기 위해서는 많은 그룹의 물질에 대하여 다른 이론 방법을 적용할 필요가 있다. 본 연구에서는 탄소나노튜브의 고리와 바구니 내원자들의 밀도전하를 연구하기 위하여 혼성 밀도함수 이론(DFT) 계산을 수행하였다. 핵-핵 에너지, 전자-핵 에너지와 운동에너지에 대한 교환 및 상호작용을 관찰하였으며, B3P86, B3PW91, B1B96, BLYP와 B3LYP 수준에서 계산하였다.

Full Geometry Optimizations of Bond-Stretch Isomers of C202+ Fullerene Dication by the Hybrid Density Functional B3LYP Methods

  • Lee, Ji-Hyun;Lee, Chang-Hoon;Park, Sung-S.;Lee, Kee-Hag
    • Bulletin of the Korean Chemical Society
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    • 제32권1호
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    • pp.277-280
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    • 2011
  • We studied the relative stability and atomic structure of five $C_{20}^{2+}$ isomers obtained by two-electron ionization of a $C_{20}$ cage (the smallest fullerene). All the isomers are bond-stretch isomers, i.e., they differ in bond length. In particular, in one of the isomers with Ih symmetry, all the bond lengths are equal. Full geometry optimizations of the dipositive ion $C_{20}^{2+}$ were performed using the hybrid density functional (B3LYP/6-31G(d)) methods. All isomers were found to be true minima by frequency analysis at the level of B3LYP/6-31G(d) under the reinforced tight convergence criterion and a pruned (99,590) grid. The zero-point correction energy for the cage bond-stretch isomers was in the increasing order $D_{2h}<C_{2h}<C_2<T_h<I_h$ of $C_{20}^{2+}$. The energy difference among the isomers of cage dipositive ions was less than that among neutral cage isomers. Our results suggest that these isomers show bond-stretch isomerism and that they have an identical spin state and an identical potential energy curve. Although the predominant electronic configurations of the isomers are similar, the frontier orbital characteristics are different, implying that we could anticipate an entirely different set of characteristic chemical reactions for each type of HOMO and LUMO.

Computational Study of the Molecular Structure, Vibrational Spectra and Energetics of the OIO Cation

  • Lee, Sang-Yeon
    • Bulletin of the Korean Chemical Society
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    • 제25권12호
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    • pp.1855-1858
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    • 2004
  • Molecular geometries for the cationic and neutral species of OXO (X=Cl, Br, and I) are optimized using the Hartree-Fock (HF) theory, the second order Moller-Plesset perturbation theory (MP2), the density functional theory with the B3LYP hybrid functional (B3LYP), and the coupled cluster theory using single and double excitation with a perturbational treatment of triplet excitation (CCSD[T]) methods, with two basis sets of triple zeta plus polarization quality. The single point calculations for these species are performed at the CCSD(T,Full) level. The harmonic vibrational frequencies for these species are calculated at the HF, MP2, B3LYP and CCSD(T) levels. The adiabatic ionization potential for OIO is calculated to be 936.7 kJ/mol at the CCSD(T,Full) level and the correct value is estimated to be around 945.4 kJ/mol.

범밀도 함수법과 Molecular Descriptor를 이용한 모르핀 유도체에 대한 분자 모델링 연구 (Molecular Modeling Study on Morphine Derivatives Using Density Functional Methods and Molecular Descriptors)

  • Cotua, Jose;Cotes, Sandra;Castro, Pedro;Castro, Fernando;Mora, Liadys
    • 대한화학회지
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    • 제54권4호
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    • pp.363-373
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    • 2010
  • 마약인 모르핀, 헤로인, 코데인, 펜타조신 그리고, 버프레노파인에 대하여 범밀도함수이론에 근거하여 계산 연구를 수행하였다. 약물특이 분자단과 치환기의 기하학적 파라미터는 B3LYP/6-31+G(d) 레벨로 계산하였고, 전자의 구조는B3LYP/6-311++G(d,p) 레벨로 같은 혼성 범함수를 사용하여 계산하였다. 원자의 전하분포는 Mulliken 개체 수 분석에 의하여 구하였다. 보고된 생물학적 활성, 계산된 분배 계수, 전자 및 기하학적 분석을 토대로 펜타조신과 버프레노파인을 새로 제시된 유사화합물에 대한 모델화합물로 선택하였으며, 이들 유사화합물에 대하여 연구한 뒤, 모델화합물과 비교하였다. 본 연구 결과는 약물특이 분자단의 기하학적 구조와 전자 구조가 다른 치환기의 존재 하에서도 변함없이 유지된다는 것을 보여주었다. 제시된 유사화합물들도 모델 분자의 특성을 갖고 있기 때문에, 이들 유사화합물들도 생물학적 활성을 나타낼 것 같다.

Determination of Atomic Structures and Relative Stabilities of Diadduct Regioisomers of C20X2 (X = H, F, Cl, Br, and OH) by the Hybrid Density-Functional B3LYP Method

  • Lee, Seol;Suh, Young-Sun;Hwang, Yong-Gyoo;Lee, Kee-Hag
    • Bulletin of the Korean Chemical Society
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    • 제32권9호
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    • pp.3372-3376
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    • 2011
  • We have studied the relative stability and atomic structures of five $C_{20}X_2$ regioisomers obtained as diadducts of a $C_{20}$ cage (X = H, F, Cl, Br, and OH). All the regioisomers are geometric isomers, i.e., they differ in their spatial arrangement. Full-geometry optimizations of the regioisomers have been performed using the hybrid density-functional (B3LYP/6-31G(d, p)) method. Our results suggest that the cis-1 regioisomer (the 1,2-diadduct) is the most stable and that the second most stable is the trans-2 (1,13-diadduct) regioisomer, implying that the long-range interaction between the two adducts and the resonance effect are more pronounced than the diadduct-induced strain in the $C_{20}$ cage. The HOMO and LUMO characteristics of each regioisomer with the same symmetry of structural regioisomers except $C_{20}(OH)_2$ are topologically same. This suggests that by using an entirely different set of characteristic chemical reactions for each regioisomer, we can distinguish between the five regioisomers for each $C_{20}$ diadduct derivative.

Frontier Orbitals of Fifteen C20H17(OH)3 Regioisomers: Hybrid DFT B3LYP Study

  • Lee, Seol;Lee, Ji Young;Lee, Kee Hag
    • Bulletin of the Korean Chemical Society
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    • 제34권8호
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    • pp.2403-2407
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    • 2013
  • The hybrid density-functional (B3LYP/6-31G(d,p)) method was used to analyze the substitution effect on the $C_{20}H_{20}$ cage based on calculation of the frontier orbitals of fifteen $C_{20}H_{17}(OH)_3$ derivatives. All substitution products were geometrically optimized without constraints and confirmed by frequency analysis. The results suggest that the cis-1 cis-1 cis-2 regioisomer is the most stable isomer, which implies that hydrogen bonding exerts a stronger effect on the relative energies of the trihydroxide than long-range interactions. Thus, this supports the experimental result in which the bisvicinal tetrol was of particular preparative-synthetic interest. While the LUMO of each of the $C_{20}H_{17}(OH)_3$ regioisomers was equivalently delocalized over the void within the cage, the HOMO was limitedly delocalized on substituents and carbons in close proximity to the substituents. The characteristics of the HOMO of each of the regioisomers vary based on the substitution sites. This indicates that the 15 regioisomers of each $C_{20}H_{20}$ trisubstituted derivative might undergo an entirely different set of characteristic chemical reactions with electrophilic reagents. The results further suggest that the penta-substituted OH groups on the surface of the fullerene cage are more likely to be localized on a pentagon than to be homogeneously delocalized.

Calculation of the Solvation Free Energy of the Proton in Methanol

  • Hwang, Sun-Gu;Chung, Doo-Soo
    • Bulletin of the Korean Chemical Society
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    • 제26권4호
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    • pp.589-593
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    • 2005
  • The solvation free energy of proton in methanol was calculated by B3LYP flavor of density functional calculations in combination with the Poisson-Boltzmann continuum solvation model. In order to check the adequacy of the computation level, the free energies of clustering in the gas phase were compared with the experimental data. The solvents were taken into account in a hybrid manner, i.e. one to five molecules of methanol were explicitly considered while other solvent molecules were represented with an implicit solvation model.

DFT Calculations on the Wavelength Dispersion of Absorbance and Refractive Indices for Molecular Design of Photonic Polymers

  • Ando, Shinji
    • 한국고분자학회:학술대회논문집
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    • 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
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    • pp.230-230
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    • 2006
  • Density functional theory (DFT) calculations using the B3LYP hybrid functional and the 6-311++G(d,p) basis set have been performed to predict the wavelength dispersion of optical absorbance and refractive indices for organic compounds and polymers in the range between the vacuum UV (${\sim}157\;nm$) and near-IR (${\sim}850\;nm$). The DFT calculations can reproduce the experimental dispersions of absorbance and refractive indices with high accuracy and low costs. The calculated dispersions demonstrate that the judicious introductions of $-F\;and\;-CF_{3}$ into alicyclic and heterocyclic compounds are effective in reducing the absorption at shorter wavelengths. In addition, the calculated Abbe numbers that represent the refractive index dispersion in the visble region are linearly proportional to the calculated refractive indices at 589 nm.

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Towards Designing Environmentally Stable Conjugated Polymers with very Small Band-Gaps

  • Hong, Sung Y.;Kim, Sung C.
    • Bulletin of the Korean Chemical Society
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    • 제24권11호
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    • pp.1649-1654
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    • 2003
  • We have investigated substituent effect on the stabilization energies, and nucleus-independent chemical shifts of pentafulvalenes and on the electronic structures of the corresponding polypentafulvalenes to design environmentally stable semiconductive or conductive polymers. Geometrical optimizations of the molecules were carried out at the density functional level of theory with B3LYP hybrid functional and 6-311+G(d) basis set. Stabilization energies were estimated using isodesmic and homodesmotic reactions. As a criterion of aromaticity nucleus-independent chemical shifts of the molecules were computed using GIAO approach. For the polymers the geometrical parameters were optimized through AM1 band calculations and the electronic structures were obtained through modified extended Huckel band calculations. It is found that strong electronwithdrawing substituents increase isodesmic and homodesmotic stabilization energies of pentafulvalene, though it does not increase the aromaticity. Nitro-substituted pentafulvalene is estimated to have stabilization energy as much as azulene. However, substitution either with electron-donating groups or with electronwithdrawing groups does not significantly affect the electronic structures of polypentafulvalene and poly (vinylenedioxypentafulvalene).

Uptake Effects of Two Electrons for Relative Stability and Atomic Structures of Carbon Cluster Isomers of C20: ab initio Methods

  • Lee, Wang-Ro;Lee, Chang-Hoon;Kang, Jin-Hee;Park, Sung-Soo;Hwang, Yong-Gyoo;Lee, Kee-Hag
    • Bulletin of the Korean Chemical Society
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    • 제30권2호
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    • pp.445-448
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    • 2009
  • This study examined the effect of the uptake of one and two electrons on the atomic structure of three isomers of $C_{20}$ clusters, namely the ring, bowl (corannulene like), and cage (the smallest fullerene). Geometry optimizations were performed using the hybrid density functional (B3LYP) methods for neutral, singly and doubly charged $C_{20},\;{C_{20}}^-,and\;{C_{20}}^{2-}$. These results show that the symmetry of the lowest energies for ring and bowl isomers were not changed, whereas the increasing order of energy for the cage (the smallest fullerene) isomers was changed from $D_{2h}\;<\;C_{2h}\;{\leq}\;C_2\;of\;C_{20}\;through\;Ci\;<\;C_{2h}\;<\;C_2\;<\;D_{2h}\;of\;{C_{20}}^-\;to\;Ci\;<\;C_2\;<\;D_{2h}\;<\;C_{2h}\;of\;{C_{20}}^{2-}$. The reduced symmetry isomers of the cage have comparative energy and the ground state symmetry of the neutral and single and double charged $C_{20}$ decreased with increasing number of electrons taken up in the point of energetics. Interestingly, the difference in energy between the ground state and the next higher energy state of ${C_{20}}^{2-}$ was 3.5kcal/mol, which is the largest energy gap of the neutral, single anion and double anion of the cage isomers examined.