• Advances in nano research
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• 제9권2호
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• pp.69-82
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• 2020

In this paper, a new explicit analytical formula is derived for the critical buckling load of Double Walled Carbon Nanotubes (DWCNTs) embedded in Winkler elastic medium without taking into account the effects of the nonlocal parameter, which indicates the effects of the surrounding elastic matrix combined with the intertube Van der Waals (VdW) forces. Furthermore, we present a model which predicts that the critical axial buckling load embedded in Winkler, Pasternak or Kerr elastic medium under axial compression using the nonlocal Donnell shell theory, this model takes into account the effects of internal small length scale and the VdW interactions between the inner and outer nanotubes. The present model predicts that the critical axial buckling load of embedded DWCNTs is greater than that without medium under identical conditions and parameters. We can conclude that the embedded DWCNTs are less susceptible to axial buckling than those without medium.

• 대한화학회지
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• 제63권1호
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• pp.24-28
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• 2019

In this work, we discuss where the failure of Kohn-Sham Density Functional Theory (DFT) occurs in weak interactions. We have adopted density-corrected density functional calculations and dispersion correction separately to find out whether the failure is due to density-driven error or functional error. The results of Benzene Ar complex, one of the most common examples of van der Waals interactions, show that DFT calculations of van der Waals interaction suffer from functional error, rather than density-driven error. In addition, errors in DFT calculations of the S22 dataset, which contains small to relatively large (30 atoms) complexes with non-covalent interactions, are governed by functional errors.

• Advances in nano research
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• 제6권2호
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• pp.163-182
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• 2018

Based on the Reissner mixed variational theorem (RMVT), the authors present a nonlocal Timoshenko beam theory (TBT) for the nonlinear free vibration analysis of multi-walled carbon nanotubes (MWCNT) embedded in an elastic medium. In this formulation, four different edge conditions of the embedded MWCNT are considered, two different models with regard to the van der Waals interaction between each pair of walls constituting the MWCNT are considered, and the interaction between the MWCNT and its surrounding medium is simulated using the Pasternak-type foundation. The motion equations of an individual wall and the associated boundary conditions are derived using Hamilton's principle, in which the von $K{\acute{a}}rm{\acute{a}}n$ geometrical nonlinearity is considered. Eringen's nonlocal elasticity theory is used to account for the effects of the small length scale. Variations of the lowest frequency parameters with the maximum modal deflection of the embedded MWCNT are obtained using the differential quadrature method in conjunction with a direct iterative approach.

• 한국생산제조학회지
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• 제24권4호
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• pp.421-427
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• 2015

In this paper, a description is given of finite element method (FEM) simulations of the elastic bending modulus of multi-layered graphene sheets that were carried out to investigate the mechanical behavior of graphene sheets with different gap thicknesses through molecular mechanics theory. The interaction forces between layers with various gap thicknesses were considered based on the van der Waals interaction. A finite element (FE) model of a multi-layered rectangular graphene sheet was proposed with beam elements representing bonded interactions and spring elements representing non-bonded interactions between layers and between diagonally adjacent atoms. As a result, the average elastic bending modulus was predicted to be 1.13 TPa in the armchair direction and 1.18 TPa in the zigzag direction. The simulation results from this work are comparable to both experimental tests and numerical studies from the literature.

• 대한화학회지
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• 제22권2호
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• pp.86-94
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• 1978

Theophylline 鹽酸鹽의 結晶 및 分子 構造를 3次元的인 X-線 回折 data로부터 Patterson法에 의하여 決定하였고, Block-diagonal least square와 Fourier法으로서座標를 精密化하였다. 이化合物은 a = 14.01, b = 11.49, c = 6.77${\AA}$의 單位格子를 가지는 斜方晶系에 屬하는 結晶 이며 空間群은 $P_{na21}$ 이다. 743개의 觀測된 data에 대한 최종 R값은 12.2%이다. Theophylline 分子內 原子間 距離는 유사化合物에서 얻은 값과 거의 일치한다. 이들 原子는 同一平面을 이루고 있으며 HCl의 鹽素原子는 theophylline의 N(1) 原子와 3.06${\AA}$ 距離의 Cl${\cdot}{\cdot}{\cdot}$N(1), 水素結合을 이루고 있다. 모든 分子 는 대략 (001)과 (002)面上에 배열되어 있고 各分子間은 van derWaals force에 의해 三次元的 構造를 이루고 있다.

• 한국컴퓨터그래픽스학회논문지
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• 제18권3호
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• pp.1-7
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• 2012

본 논문에서는 단백질 분자 간의 인터페이스를 계산하는 알고리즘을 제안한다. 분자가 반데르바스 (van der Waals) 반경을 갖는 구의 집합으로 표현될 때, 공간 상의 한 점 p로부터 분자까지의 거리는 p로부터 가장 가까운 구까지의 거리에 대응한다. 분자 인터페이스는 두 개의 분자에 대해 같은 거리에 있는 점들로 구성된다. 제안된 알고리즘은 공간을 복셀의 집합로 분할한뒤, 각 복셀을 지나는 구의 위치 정보를 저장하여 복셀맵 (voxel map)을 구성하였다. 복셀맵을 이용하여 한 점으로부터 분자까지의 거리를 계산하며, GPU (graphic processor unit)를 이용하여 병렬처리를 수행함으로써 효율적으로 인터페이스를 근사한다.

• 공업화학
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• 제4권2호
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• pp.409-415
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• 1993

Lippin cott/schroeder 포텐샬 함수는 O-H---O와 같은 수소결합 시스템에 응용되고, 좋은 데이터를 주기 위하여 약간 수정된다. 이 모델의 사용은 Van der Waals 반발력과 정전기적 상호작용을 표현하는 항들을 요구하며, 이들 항들은 평형조건으로부터 결정된다. 이 간단한 모델을 사용하므로서, 주파수이동과 수소결합 형성의 엔탈피 관계는 직선이 될 것으로 예상되며, 이것은 문헌에 있는 실험적 결과와 일치한다는 것을 보여준다.

• Macromolecular Research
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• 제16권4호
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• pp.320-328
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• 2008

We established a thermodynamic framework of group contribution method based on modified double lattice (MDL) model. The proposed model included the long-range interaction contribution caused by the Coulomb electrostatic forces, the middle-range interaction contribution from the indirect effects of the charge interactions and the short-range interaction from modified double lattice model. The group contribution method explained the combinatorial energy contribution responsible for the revised Flory-Huggins entropy of mixing, the van der Waals energy contribution from dispersion, the polar force, and the specific energy contribution from hydrogen bonding. We showed the solvent activities of various polymer solution systems in comparison with theoretical predictions based on experimental data. The proposed model gave a very good agreement with the experimental data.

• Bulletin of the Korean Chemical Society
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• 제16권12호
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• pp.1193-1203
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• 1995

In this work, we focused on the setup of the tools for the analysis of the final rotational state distribution of photofragments in vibrational predissociations of triatomic van der Waals molecules A-B2. We found that reflection principle used for the direct photodissociation processes can also be applied to find out the final rotational state distributions for indirect photodissociation processes. The quantity which represents the strength of rovibrational coupling between the quasi-bound state and the final state is reflected into the mirror of the classical angular momentum function, instead of the initial state before light absorption used in the reflection principle of direct processes. The sign change in the first derivative of the interaction potential with respect to the bond distance of B2 is found to be the source of the binodal structures in the final rotational distributions of photofragments in the model system studied in this work. In MQDT analysis, short range eigenchannel basis functions were found to be localized in angle, in the previous work [Lee, C.W. Bull. Korean Chem. Soc. 1995, 16, 957.] and may be called angle functions. Angle functions enjoy simple geometrical structures which have simple functional relations with the final state distributions of photofragments. Two processes take place along the angle functions which resemble the quasi-bound state and dominate over other processes. Two such angle functions are found to be not only localized angularly but also localized either one of ends of B2 in motions along the bond of B2. These dominating photodissociation processes, however, cancel each other. This cancellation causes photodissociation to depend sensitively on the interaction potential at other angles than the dominant one. Part of potential surface where much larger torque exists can now play an important role in photodissociation. MQDT also enables us to see which processes play important roles after cancellation. This is done by examining the amounts of time delayed by asymptotic eigenchannels.

• BMB Reports
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• 제28권4호
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• pp.363-367
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• 1995

E. coli methionyl-tRNA synthetase is one of the class I tRNA synthetases. The Tryptophane residue at the position 461 located in the C-terminal domain of the enzyme is a key amino acid for the interaction with the anticodon of $tRNA^{Met}$. W461 was replaced with other amino acids to determine the chemical requirement for the interaction with the anticodon of $tRNA^{Met}$. Saturation mutagenesis at the position 461 generated a total of 12 substitution mutants of methionyl-tRNA synthetase. All the mutants showed the same in vivo stability as the wild-type enzyme, suggesting that the amino acid substitutions did not cause severe conformational change of the protein The mutants containing tyrosine, phenylalanine, histidine and cysteine substitutions showed in vivo activity while all the other mutants did not. The comparison of the in vitro aminoacylation activities of these mutants showed that aromatic ring structure, Van der Waals volume and hydrogen bond potential of the amino acid residue at the position 461 are the major determinants for the interaction with the anticodon of $tRNA^{Met}$.