• 한국표면공학회지
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• 제42권1호
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• pp.8-12
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• 2009

Electronic structures and chemical bonding of Li-intercalated $LiTiS_2$ and $LiTiO_2$ were investigated by using discrete variational $X{\alpha}$ method as a first-principles molecular-orbital method. ${\alpha}-NaFeO_2$ structure is the equilibrium structure for $LiCoO_2$, which is widely used as a commercial cathode material for lithium secondary battery. The study especially focused on the charge state of Li ions and the magnitude of covalency around Li ions. The average voltage of lithium intercalation was calculated using pseudopotential method and the average intercalation voltage of $LiTiO_2$ was higher than that of $LiTiS_2$. It can be explained by the differences in Mulliken charge of lithium and the bond overlap population between the intercalated Li ions and anions in $LiTiO_2$ as well as $LiTiS_2$. The Mulliken charge, which means the ionicity of Li atom, was approximately 0.12 in $LiTiS_2$ and the bond overlap population (BOP) indicating the covalency between Ti and S was about 0.339. One the other hands, the Mulliken charge of lithium was about 0.79, which means that Li is fully ionized. The BOP, the covalency between Ti and O, was 0.181 in $LiTiO_2$. Because of high ionicity of Li and the weak covalency between Ti and the nearest anion, $LiTiO_2$ has a higher intercalation voltage than that of $LiTiS_2$.

• 폴리머
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• 제38권5호
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• pp.557-565
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• 2014

Sodium alginate and chitosan are added to a $CaCl_2$ solution to prepare calcium-alginate-chitosan and calciumalginate gels. After dehydration through stoving, two types of adsorbent particles are obtained. The adsorption process of the particles obtained for low concentrations of $Sr^{2+}$ satisfies a second-order kinetic equation and the Freundlich adsorption model. The thermodynamic behaviors of the particles indicate that adsorption occurs via a spontaneous physical process. XPS pattern analysis is used to demonstrate the adsorption of $Sr^{2+}$ by calcium alginate and chitosan. By building an interaction model of the molecules of chitosan and alginate with $Ca^{2+}$ and $Sr^{2+}$ to calculate energy parameters, Fukui index, Mulliken charge, and Mulliken population, adsorption of $Sr^{2+}$ on the molecular chains of chitosan as well as the boundary of calcium-alginate-chitosan is observed to show weak stability; by contrast, adsorption between molecular chains is high.

• 한국광물학회지
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• 제20권4호
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• pp.313-325
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• 2007

본 연구에서는 점토광물 표면 클러스터의 크기와 결정학적 위상이 전자 밀도와 자기 차폐 텐서에 미치는 영향을 살펴보기 위하여 캐올리나이트 규산염 층을 대표하는 세 개의 서로 다른 위상의 모델 클러스터와 벤질 알코올과의 상호작용에 대해 다양한 수준의 양자화학 계산을 수행하였다. 모델 클러스터 1은 단순화된 7개의 규산염 고리로 이루어졌고, 모델 클러스터 2는 결정학적 위상을 가진 7개의 규산염 고리로 이루어졌으며, 모델 클러스터 3은 세 개의 규산염 고리와 팔면체 고리로 이루어져 있다. 멀리켄 전하 계산 결과 벤질 알코올과의 반응 후의 상대적인 전자 밀도 이동의 크기는 모델클러스터 3의 사면체 쪽 > 모델 클러스터 1 > 모델 클러스터 2 > 모델 클러스터 3의 팔면체 쪽의 순으로 계산되었다. 또한 벤질 알코올과 강한 수소 결합을 하는 원자들의 전자 밀도 이동이 상대적으로 크다 벤질 알코올 흡착 전에 대한 사면체 표면 원자들의 자기 차폐 텐서 결과는 결정학적 위상을 고려하지 않은 경우 표면 중심으로부터의 거리가 비슷한 산소들끼리 유사한 등방 자기 차폐 텐서 값들을 갖고, 결정학적 위상을 고려한 경우는 결정학적으로 서로 다른 산소 자리(O3, O4, O5)에 대해 각각 $228.2{\pm}3.9,\;228.9{\pm}3.4,\;222.3{\pm}3.0ppm$으로 계산되었다. 흡착 전후의 산소 원자의 화학 차폐의 차이는 알코올과 근접한 산소들에서 약 $1{\sim}5.5ppm$ 정도의 변화가 나타나며 이러한 변화는 최근의 고분해능 이차원 핵자기공명분광 분석을 이용하면 실험으로 관찰할 수 있을 것으로 예상된다. 또한 모델 클러스터 2의 화학 차폐의 변화는 모델 클러스터 1보다 상대적으로 큰 특징을 보인다. 전자밀도 이동과 화학 차폐의 변화는 약한 양의 상관관계를 가진다. 이러한 결과들은 캐올리나이트 규산염 사면체 층과 벤질 알코올이 약한 수소 결합과 벤젠 고리와 규산염 층 산소 원자들의 약한 정전기적 힘에 의해 흡착되고 있음을 보여준다. 본 연구는 점토광물과 유기물에 대한 양자 화학 계산에서 클러스터 크기와 결정학적 위상이 고려되어야 함을 제시한다.

• 한국세라믹학회지
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• 제42권5호
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• pp.304-307
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• 2005

The possible configurations of hydroxyl group in hexagonal hydroxyapatite were identified through molecular orbital calculation. The molecular orbital interaction between O and H in hydroxyl column was analyzed using charge variation and Bond Overlap Population (BOP). We supposed 5 kinds of O-H bond configurations as cluster types of I, II, III, IV, and V. Mulliken's population analysis was applied to evaluate ionic charges of O, H, P, and Ca ions, and BOPs (Bond Overlap Populations) in order to discuss the bond strength change by the atomic arrangement. The stability of each O-H bond configuration was analyzed using bond overlap and ionic charge.

• 통합자연과학논문집
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• 제3권4호
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• pp.226-230
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• 2010

Calculation of partial charge is important in chemistry. However, because there are many methods developed, it is of considerable interest to know how to calculate and apply properly to address various chemical problems. For basis set, usually double zeta quality is acceptable, and double zeta polarization function would be enough for most cases. To describe electronic state more accurately, Many electron configurations would be necessary to describe highly strained or anionic species. The NPA population introduced new concept about amide bonds, i.e., the planar geometry of nitrogen atom may not come from resonance, but from the lowering of p-orbital energy by electronegative carbonyl carbon atom. The issues for hypervalent atomic charges was also addressed by various charge derivation scheme. When the charge schemes were applied to organolithium compounds, the ionic nature of boding was revealed. This comes from the fact that previous Mulliken partial atomic charges overemphasized the covalent character, wihout much justification. The other partial charge derivation schemes such as NPA(natural population analysis), IPP (Integrated Projected Population) showed that much more ionic picture. ESP potential derived charges are generally believed to be suitable to describe intermolecular interactions, therefore they are used for molecular dynamics simulations and CoMFA (comparative molecular field analysis). The charge derivation schemes using multipole polarization was mainly applied to reproduce experimental infrared spectroscopy. In some reports these schemes are also suitable for intermecular electrostatic interactions. Charges derived from electron density gradient have shown the some bonds are not straight, but actually bent. The proper choice of charge-calculation method along with suitable level of theory and basis set are briefly discussed.

• Bulletin of the Korean Chemical Society
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• 제16권10호
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• pp.915-923
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• 1995

The parameters for an empirical net atomic charge calculation method, Modified Partial Equalization of Orbital Electronegativity (MPEOE), were determined for the atoms in organosilicon compounds and zeolites. For the organosilicon family, the empirical parameters were determined by introducing both experimental and ab initio observables as constraints, these are the experimental and ab initio dipole moments, and the ab initio electrostatic potential of the organosilicon molecules. The Mulliken population was also introduced though it is not a quantum mechanical observable. For the parameter optimization of the atoms in the aluminosilicates, the dipole moments and the electrostatic potentials which calculated from the 6-31G** ab initio wave function were used as constraints. The empirically calculated atomic charges of the organosilicons could reproduce both the experimental and the ab inito dipole moments well. The empirical atomic charges of the aluminosilicates could reproduce the ab initio electrostatic potentials well also.

• Bulletin of the Korean Chemical Society
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• 제33권10호
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• pp.3361-3367
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• 2012

Two novel Eu(III) complexes with notable properties have been successfully prepared with hydrazone Schiff base ligands, (E)-2-hydroxy-N'-[(2-hydroxynaphthalen-1-yl)methylene]benzohydrazide (3a) and (E)-4-hydroxy-N'-[(2-hydroxynaphthalen-1-yl)methylene]benzohydrazide (3b). DFT, FMO energy and Mulliken charge distribution studies of the ligands allowed us to hypothesize that their HC=N, > C=O and -OH (naphthyl) groups were involved in coordinating with the $Eu^{3+}$ ion. The eight coordination sites of the $Eu^{3+}$ ion were occupied by the three functional groups of the two ligands (3a or 3b) mentioned above and two water molecules. Similar UV, IR and fluorescence spectra indicated the presence of comparable coordination environments for the $Eu^{3+}$ ion in both complexes. Both the ligands and their complexes exhibited moderate DPPH radical scavenging activity. Moreover, it was found that the Eu(III) complexes exhibited fluorescence properties.

• 한국재료학회지
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• 제12권4호
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• pp.274-278
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• 2002

Discrete-variational(DV)-$X{\alpha}$ method was applied to investigate the electronic structures of spinel- type manganese oxide which is well known to the high performance adsorbent or cathode material for lithium ion. The results of DOS(density of states) and Mulliken population analysis showed that Li was nearly fully ionized and interactions between Mn and O were strong covalent bond. The effective charge of Li and Mn was +0.77 and +1.44 respectively and the overlap population between Mn and O was 0.252 in $LiMn_2O_4$. These results from DV-X$\alpha$ method were well coincided with the experimental result by XPS analysis and supported the feasibility of theoretical interpretation for the $LiMn_2O_4$ compound.

• 대한화학회지
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• 제53권6호
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• pp.671-676
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• 2009

밀도 함수이론을 사용해 철 부식 방지제로써 메톨(N-메틸-p-아미노페놀 설페이트)에 대한 기하학적 및 전자구조에 대한 연구가 처음으로 기술되었다. B3LYP/6-31G+(d,p) 기저세트를 사용해 기상 및 액상에서 HOMO, LUMO, 에너지갭 (${\Delta}E$), 멀리칸하전 ($q_M$), 자연원자하전 ($q_n$)과 같은 양자화학적 변수들이 계산되었다. 부식방지메카니즘을 이해하기 위해 부식방지효율과 양자화학적 변수들간의 연관성이 논의되었다.

• 대한화학회지
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• 제17권1호
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• pp.1-9
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• 1973

區區한 Diels-Alder 反應의 구조를 규명하기 위하여 Diels-Alder 反應 基 自體의 本質에 가장 가깝다고 생각한 새로운 擬似分子化合物이라는 遷移狀態의 模型을 假定하여 Mulliken의 分子化合物의 量子力學을 適用하였다. 이 擬似分子化合物은 이온성과 Radical성을 지닌 混成體이다. 이 混成體의 波動函數는 다음 식으로 표현된다. ${\psi}_{complex} = {\psi}(R,S) + {\rho}{\psi}(R^+,S^-)$ 여기 ${\rho}$는 擬似分子化合物의 極性程度를 나타내는 것이고 이 ${\rho}$가 Diene과 Dienpohile의 反應中心原子들의 自由原子價의 차 $({\Delta}F)$에 關係함을 밝혔다. 아울러 이 ${\Delta}F$量이 Brown氏의 Lp量 및 Dewar氏의 ${\Delta}E_{deloc}$量과 直線성이 있음을 알았다. Diels-Alder反應의 可能性與否를 24組의 反應組에 對하여 豫言하였다. 따라서 우리가 假定한 遷移狀態의 模型이 眞實에 가깝다고 볼 수 있으며 결국 Diels-Alder 反應은 同時附加로 융합된 ionic-Radical mechanism으로 反應이 進行한다고 볼 수 있다.