WO2015009016A1 - 분자 오비탈 유사성 편차 평가 방법 및 이를 이용한 시스템 - Google Patents
분자 오비탈 유사성 편차 평가 방법 및 이를 이용한 시스템 Download PDFInfo
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- WO2015009016A1 WO2015009016A1 PCT/KR2014/006364 KR2014006364W WO2015009016A1 WO 2015009016 A1 WO2015009016 A1 WO 2015009016A1 KR 2014006364 W KR2014006364 W KR 2014006364W WO 2015009016 A1 WO2015009016 A1 WO 2015009016A1
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- G16C10/00—Computational theoretical chemistry, i.e. ICT specially adapted for theoretical aspects of quantum chemistry, molecular mechanics, molecular dynamics or the like
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- the present invention relates to a method for evaluating molecular orbital similarity deviation and a system using the same. More particularly, the present invention relates to a method for evaluating molecular orbital similarity deviation and a system using the same. will be.
- the electrochemical properties of the material are greatly influenced by the electron behavior. Because these electronic behaviors are very complex and difficult to interpret, it is difficult to evaluate them by direct measurements through experiments. Therefore, electron behavior is interpreted through calculations, not experiments, and the concept introduced for this is Molecular Orbital (MO).
- MO Molecular Orbital
- Molecular orbitals represent the probability that an electron can be present at each position in a molecule. Molecular orbitals can only be identified through calculation by quantum mechanical methods. Traditionally, the evaluation of molecular orbitals relies on a qualitative method of generating a calculated molecular orbital and then relying on visual judgment. However, qualitative methods are useful for roughly evaluating the overall properties of molecular orbitals, but it is difficult to objectively and accurately evaluate molecular orbitals like quantitative methods. Because qualitative methods are evaluated according to subjective criteria, very different evaluations may be made by different evaluators even for the same molecular orbital.
- the present inventors have overcome the limitations of such a qualitative evaluation method and have developed various methods capable of quantitatively evaluating molecular orbitals for systematically and accurately evaluating molecular orbital information.
- each subregion of the entire molecular structure of the molecule is formed into blocks, and then the entire molecular structure is generated from a combination of blocks, and (2) the molecular orbitals associated with each block are added to the sum of the total orbitals.
- the AC2B method which introduces the concept of blocks, simplifies the pattern of complex molecular orbitals and enables intuitive and clear evaluation of molecular orbital properties.
- the rearranged block spectra computed by AC2B intuitively represent single-molecule orbital properties but are difficult to use directly to compare different molecular orbital properties. This is because the block spectrum is a sequential arrangement of blocks according to positions occupied by each block and thus cannot be immediately used for quantitative comparison.
- the present inventors intuitively and clearly evaluate the molecular orbital properties distributed in a complex and diverse pattern within the molecular structure by using a new concept of blocks, and use the calculated block spectra to different molecular orbitals.
- the 2BS-score method is an evaluation method that quantitatively evaluates the similarity of molecular orbitals by evaluating the identity of sequences of block spectra calculated for different molecular orbitals.
- the 2BS-score method is a method of quantitatively determining the overall molecular orbital similarity by comparing the same sequence in the same sequence in three steps in the block spectrum for the molecular orbitals to be compared. If the sequences of the two molecular orbital block spectra to be compared are exactly the same, the 2BS-score is 100%, and the larger the sequence difference, the smaller the value, indicating poor molecular orbital similarity.
- the present inventors confirmed that the molecular orbital similarity can be accurately and quantitatively represented by the 2BS-score method.
- the molecular orbital similarity can be quantitatively evaluated through the 2BS-score method, it is not known whether the similarity has a certain degree of variation. For example, assuming that the similarity between different molecular orbital pairs A0-A1 and A2-A3 is 2BS-score, it is determined that both cases have the same similarity if they have the same 2BS-score. The similarity between and A2-A3 is not exactly the same. This is because the similarity between A0-A1 and A2-A3 may be different even if the 2BS-score values are the same.
- the similarity deviation can be accurately measured, it is expected that molecular orbital similarity can be more accurately evaluated, and thus it is very useful for understanding similarity characteristics.
- the inventors have quantitatively evaluated the molecular orbital similarity calculated according to the 2BS-score method. Developed.
- an object of the present invention is to provide a new method capable of quantitatively and accurately assessing similarity deviations of molecular orbitals.
- the present invention is a) N x multi-block spectrum (MBS) of different block size by the method of steps i) to v) after selecting two target molecular orbitals to compare the molecular orbital similarity And combining N x MBS pairs of the same block size: i) calculating the molecular orbital distribution using quantum mechanics, ii) radial at the molecular center in the molecular structure of the molecule direction), iii) calculating the molecular orbital ratio (BX ( k )) ( k is the number of blocks and is a natural number from 1 to N) associated with each block, iv) the molecule Sequentially rearranging the blocks based on the size of the orbital ratio BX ( k ) to obtain a block spectrum, and repeating steps ii) to iv), N x having different block sizes for each target molecular orbital.
- MBS multi-block spectrum
- the present invention enables the comprehensive evaluation and understanding of the characteristics related to molecular orbital similarity by quantitatively and accurately evaluating the deviations included in the molecular orbital similarity. It can be usefully used for material development.
- FIG. 1 is a flowchart illustrating a process for evaluating molecular orbital similarity deviation of the present invention.
- NPB N, N'-Di [(1-naphthyl) -N, N'-diphenyl] -1,1 '-(biphenyl) -4,4'-diamine
- FIG. 3 shows NPB (N, N'-Di [(1-naphthyl) -N, N'-diphenyl] -1,1 '-(biphenyl) -4,4'-diamine) having different molecular orbitals
- T1 and T3 calculated by the quantum mechanical method in different electronic states
- the molecular orbital pairs T1 and T3 with deviations of ⁇ 24.9 obtained by applying the SSDE-MO method are illustrated.
- the method for evaluating molecular orbital similarity deviation of the present invention includes a) selecting two target molecular orbitals to compare molecular orbital similarities, and then N x multi-block spectrums (MBS) having different block sizes by the method of steps i) to v).
- MSS multi-block spectrums
- N x MBS pairs of the same block size i) calculating the molecular orbital distribution using quantum mechanics, ii) radial at the molecular center in the molecular structure of the molecule direction), iii) calculating the molecular orbital ratio (BX ( k )) ( k is the number of blocks and is a natural number from 1 to N) associated with each block, iv) the molecule
- BX ( k ) the number of blocks and is a natural number from 1 to N
- the molecule By rearranging the blocks sequentially based on the size of the orbital ratio (BX ( k )) to obtain a block spectrum, and v) repeating steps ii) to iv), the block size is different for each target molecular orbital.
- N x MBS pairs of the same block size after obtaining N x multi-block spectrums b) performing a multi-step identity evaluation on the N x MBS pairs to calculate a TSS (m) value (m is 1 to N x as the number of MBSs) for each MBS pair; And c) calculating a standard deviation of TSS (m) values for each MBS pair and quantitatively evaluating molecular orbital similarity deviations.
- the SSDE-MO method is to quantitatively calculate molecular orbital similarity deviations through a statistical estimation method.
- the SSDE-MO method generates (1) N multi-level block spectra (MBS) with different block sequence sizes to calculate similarity deviations of different molecular orbitals, and (2) evaluates the identity of the generated MBS sequences.
- the similarity of each MBS pair is calculated through (3) and the similarity deviation is statistically calculated using the calculated similarity data for each MBS pair.
- the calculation process of SSDE-MO method is shown by the flowchart of FIG. Hereinafter, the calculation process of the SSDE-MO method will be described in detail.
- N x multi-block spectrums having different block sizes are obtained by the method of steps i) to v), and then the same block size.
- Step a) is a step of using the "Assembly of Consecutive Building Block” (AC2B) method of the molecular orbital characteristic analysis developed by the present inventor.
- AC2B Consecutive Building Block
- Molecular orbitals can be defined as mathematical simulations of the wave-like behavior of electrons in a molecule.
- the region in which the molecular orbital is present can be obtained through quantum mechanical calculation.
- the quantum mechanical calculation method is not particularly limited as long as it is a method using quantum mechanics, but preferably an orbital wave at each point calculated in the molecular structure of a material It can be used to calculate through the distribution of the electron density ( ⁇ 2 ), which is the square of the orbital wave function ( ⁇ ), it is also possible to use a single point energy calculation or geometry optimization calculation.
- the inventors of the present invention calculated molecular orbitals using DMol3 of MATERIAL STUDIO developed by ACCELYS, based on Density Functional Theory (DFT), and used VISUALIZER of MATERIAL STUDIO package to generate molecular orbital pictures. It was.
- DFT Density Functional Theory
- the total molecular structure of the target molecule is composed of a combination of N sequential blocks generated on the basis of the molecular center according to the designated total block number N of molecules.
- the RDM represents a mesh containing all constituent atoms in the molecular structure starting from the center of the molecule in the radial direction.
- the method for obtaining the intramolecular center (x c , y c , z c ) is shown in Equations 1-1 to 1-3.
- N Coord represents the total number of atomic coordinates constituting the molecule.
- the total number N of blocks is not particularly limited but is preferably in the range of 3 to 100.
- the entire molecular structure of the target molecule can be blocked based on the distance from the molecular center.
- Step a) may include calculating a molecular orbital ratio BX ( k ) associated with each block.
- the molecular orbital ratio (BX ( k )) associated with each of the blocks refers to the amount occupied by the molecular orbital associated with the kth block among the total molecular orbitals.
- K is the number of blocks and a natural number from 1 to N.
- the molecular orbital ratio (BX ( k )) associated with each of the blocks is calculated by quantum mechanical calculation of the molecular orbital (BMO ( k )) associated with each of the blocks, thereby calculating SUM, which is the total molecular orbital sum, It can be found by calculating the ratio (BX ( k )) of the molecular orbitals associated with each block to the total molecular orbital sum.
- the step a) may include rearranging the combination of the blocks sequentially based on the size of the molecular orbital ratio BX ( k ) to obtain rearranged block spectra.
- the "rearranged block spectrum” refers to a combination of sequential blocks obtained by rearranging an assembly of consecutive building blocks (AC2B) obtained in step a) sequentially based on BX ( k ).
- Step a) includes repeating steps ii) to v) to obtain N x MBSs (MBs) having different block sizes.
- the different molecular orbitals to compare this process are described as T1 and T2.
- the default block size for creating a block spectrum (BS) in AC2B is five.
- the total number N x of MBSs and the corresponding block size set N ( k ) must be determined.
- N x must be greater than 1 and may have various values depending on the efficiency of the calculation and the purpose of use. For example, if N x is designated as 6, the corresponding block size set may be set as follows.
- N x MBSs multi-block spectrums having different block sizes for each target molecular orbital can be obtained.
- MMS pair means a pair consisting of block spectra of the same size combined from N x multi-block spectrum (MBS) obtained for each target molecule orbital.
- a total of 6 pairs of MBSs having different block sizes may be combined.
- the present invention includes b) calculating a TSS (m) value (m is 1 to N x as the number of MBS) for each MBS pair by performing a multi-step identity evaluation on the N x MBS pairs. Characterized in that.
- the multi-stage identity evaluation of step b) may be a step of calculating similarity of the N x MBS pairs by a total of three stages of evaluation of the first to third stages of identity evaluation. In all procedures, identity evaluation is performed based on comparisons in the same sequence of MBS pairs. The following describes the three-step process of the multi-step in detail.
- the primary identity is evaluated for the total N x MBS pairs by the following sequence comparison.
- MBS1 ⁇ m, n ⁇ and MBS2 ⁇ m, n ⁇ represent the identity of the block at position n in MBS having a block size of N ⁇ m ⁇ generated in the T1 and T2 molecular orbitals, respectively.
- SC ⁇ m, n ⁇ represents the degree of identity at the n position for the MBS pair having the size of N ⁇ m ⁇ . This assesses the primary identity at the MBS sequence position.
- X is greater than 0 and less than 0.6
- Y is greater than 0 and less than 0.5
- Z is less than 0 and less than 0.3
- X + Y + (N-2) ⁇ Z 1.0 is established between X, Y, and Z. .
- the first step identity evaluation compares each block spectral sequence of the N x MBS pairs at the same sequence position and gives SC (m, n) values if the blocks are identical, but increases n (SC, m, n) It is characterized by giving a low value.
- the third step identity evaluation sets a block sequence distance (d_BL ⁇ m, n ⁇ ) criterion at each same sequence position of the MBS pair , and the block sequence distance at each position is the block sequence distance d_BL ⁇ l ⁇ .
- SC (m, n) value is given if the same as, but the SC (m, n) value is n It is characterized in that the value is given to decrease as it increases.
- step b the similarity (TSS, total similarity score) for each MBS pair is calculated using Equation 1 using the result of the identity evaluation for each MBS pair through the multi-stage identity evaluation.
- m is 1 to N X as the number of MBS .
- the TSS ⁇ m ⁇ represents the identity for the MBS pair of the block size N ⁇ m ⁇ .
- the TSS indicates a value of 100% and the lower the similarity, the smaller the value.
- the present invention is characterized by including c) calculating the standard deviation of the TSS (m) value for each MBS pair and thereby quantitatively assessing molecular orbital similarity deviations.
- the present invention also provides a molecular orbital similarity deviation evaluation system using the molecular orbital similarity deviation evaluation method.
- the molecular orbital similarity deviation evaluation system comprises the steps of: a) selecting two target molecular orbitals to compare molecular orbital similarities, i) calculating the molecular orbital distribution using quantum mechanical calculations, ii) molecules within the molecular structure of the molecule Making N blocks in a radial direction from the center, iii) calculating a molecular orbital ratio (BX ( k )) ( k : natural number from 1 to N) associated with each block, iv) Sequentially rearranging the blocks based on the size of the molecular orbital ratio (BX ( k )) to obtain a block spectrum, and v) repeating steps ii) to iv) of N x MBSs having different block sizes ( Blocking module for obtaining N x MBS (multi-block spectrum) having a different block size through the step of obtaining a multi-block spectrum; b) combining N x MBS pairs of the same block size from each of the N x multi-block
- a data input module configured to receive data by calculating a TSS (m) value for each MBS pair; And c) an evaluation module for calculating a standard deviation of TSS (m) values for each MBS pair and quantitatively evaluating molecular orbital similarity deviations.
- module refers to one unit for processing a specific function or operation, which may be implemented by hardware or software or a combination of hardware and software.
- NPB N, N'-Di [(1-naphthyl) -N, N'-diphenyl] -1,1 '-(biphenyl) -4,4'-diamine
- TSS values for MBS pairs were obtained by applying the SSDE-MO method of the present invention to T1 and T2, which are molecular orbital pairs calculated by the quantum mechanical method in the state.
- the final standard deviation was ⁇ 8.6. This is a very small value, indicating little variation in the similarity between T1 and T2 molecular orbitals.
- molecular orbitals T1 and T2 were visualized using VISUALIZER, a program in the MATERIAL STUDIO package, and are shown in FIG. 2. As can be seen in Figure 2 it can be seen that the molecular orbitals are not the same but very similar. Therefore, even qualitatively confirming that the variation in the similarity between the T1 and T2 molecular orbital is not large. Through this, it can be confirmed that the SSDE-MO method of the present invention quantitatively accurately represents molecular orbital similarity deviations.
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Claims (13)
- a) 분자 오비탈 유사성을 비교할 2개의 대상 분자 오비탈을 선택한 후 하기 i) 내지 v) 단계의 방법에 의해 블록 크기가 다른 Nx개의 MBS(multi-block spectrum)를 얻은 후, 동일한 블록 크기의 Nx개의 MBS pair를 조합하는 단계: i) 양자역학 계산법을 이용하여 상기 분자 오비탈 분포를 계산하는 단계, ii) 상기 분자의 분자 구조 내의 분자 중심에서 방사방향(radial direction)으로 N개의 블록을 만드는 단계, iii) 상기 각각의 블록에 연관된 분자 오비탈 비율(BX(k))(k는 블록의 번호이고 1 내지 N의 자연수이다)을 계산하는 단계, iv) 상기 분자 오비탈 비율(BX(k))의 크기를 기준으로 상기 블록을 순차적으로 재배열하여 블록 스펙트럼을 얻는 단계, 및 v) 상기 ii)~iv) 단계를 반복하여 대상 분자 오비탈 별로 블록 크기가 다른 Nx개의 MBS(multi-block spectrum)를 얻은 후, 동일한 블록 크기의 Nx개의 MBS pair를 조합하는 단계;b) 상기 Nx개의 MBS pair에 대하여 다단계 동일성 평가를 수행하여 각각의 MBS pair에 대한 TSS(m)(m는 MBS의 번호로서 1 내지 Nx 이다) 값을 계산하는 단계; 및c) 상기 Nx개의 MBS pair에 대한 TSS(m)값의 표준 편차를 계산하고 이를 통해 정량적으로 분자 오비탈 유사성 편차를 평가하는 단계를 포함하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 1에 있어서, 상기 i) 단계의 양자역학 계산법은 물질의 분자 구조에서 계산되는 각 지점에서의 오비탈 파동 함수(orbital wave function, ψ)의 제곱인 전자 밀도(ψ2)의 분포를 통하여 계산하는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 1에 있어서, 상기 i) 단계의 양자역학 계산법은 단일지점 에너지(single point energy) 계산 또는 기하학적 최적화(geometry optimization) 계산을 이용하는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 1에 있어서, 상기 iii) 단계의 각각의 블록에 연관된 단계의 분자 오비탈 비율(BX(k))은 상기 각각의 블록에 연관된 분자 오비탈(BMO(k))을 양자역학 계산을 통해 계산하고 이를 통해서 전체 분자 오비탈 합인 SUM을 계산한 다음, 전체 분자 오비탈 합에 대한 각각의 블록에 연관된 분자 오비탈의 비율(BX(k))을 계산함으로써 구하는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 1에 있어서, 상기 a) 단계는 RDM계산방법을 이용하는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 1에 있어서, 상기 b) 단계의 다단계 동일성 평가는 제1 단계 내지 제3 단계 동일성 평가의 총 3단계 평가로 상기 Nx개의 MBS pair의 유사성을 계산하는 단계인 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 6에 있어서, 상기 제1 단계 동일성 평가는 상기 Nx개의 MBS pair의 각각의 블록 스펙트럼 서열을 동일한 서열 위치에서 비교하여 블록이 동일하면 SC(m, n) 값(m는 MBS의 번호로서 1 내지 Nx 이며, n은 서열번호로서 1 내지 N(m)이다), n 값이 증가할수록 SC(m, n) 값을 낮게 부여하는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 6에 있어서, 상기 제1 단계 동일성 평가는 m이 1인 경우 n=1 위치에서 블록이 동일하면 SC(m, n)= X, n=2 위치에서 블록이 동일하면 SC(m, n)= Y, n>2 위치에서 블록이 동일하면 SC(m, n)= Z인 것으로 평가되고,상기 X는 0초과 0.6이하이고, Y는 0초과 0.5이하이고, Z는 0 내지 0.3이하이며, X, Y 및 Z 간에는 X+Y+(N-2)×Z=1.0의 관계가 성립하는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 6에 있어서, 상기 제2 단계 동일성 평가는 i) 상기 Nx개의 MBS pair의 각각의 블록 스펙트럼에서 제1 블록 스펙트럼의 n=1 위치와 제2 블록 스펙트럼의 n=2 위치에서의 블록이 동일하고, 제1 블록 스펙트럼의 n=2 위치와 제1 블록 스펙트럼의 n=1 위치에서의 블록이 동일하면 SC(m, n) 값을 부여하는 단계; 및ii) 제1 블록 스펙트럼의 n=2 위치와 제2 블록 스펙트럼의 n=3 위치에서의 블록이 동일하고, 제1 블록 스펙트럼의 n=3 위치와 제2 블록 스펙트럼의 n=2 위치에서의 블록이 동일하면 SC(m, n) 값을 부여하는 단계를 포함하고,상기 SC(m, n) 값은 상기 i) 단계에서 부여된 값이 상기 ii) 단계에서 부여된 값보다 높은 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 6에 있어서, 상기 제3 단계 동일성 평가는 상기 MBS pair의 각각의 동일한 서열 위치에서 블록서열거리(d_BL{m,n}) 기준을 설정하고, 각 위치에서의 블록서열거리가 상기 블록서열거리(d_BL{ℓ}) 기준과 동일하면 SC(m, n) 값을 부여하되, 상기 SC(m, n) 값은 n 값이 증가함에 따라 감소되도록 부여되는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- 청구항 1에 있어서, 상기 c) 단계에서 상기 표준 편차가 0인 경우 분자 오비탈 유사성 편차가 없는 것이고 0보다 큰 값을 나타낼수록 분자 오비탈 유사성 편차가 큰 것으로 분자 오비탈 유사성 편차를 평가하는 것을 특징으로 하는 분자 오비탈 유사성 편차 평가 방법.
- a) 분자 오비탈 유사성을 비교할 2개의 대상 분자 오비탈을 선택한 후 i) 양자역학 계산법을 이용하여 상기 분자 오비탈 분포를 계산하는 단계, ii) 상기 분자의 분자 구조 내의 분자 중심에서 방사방향(radial direction)으로 N개의 블록을 만드는 단계, iii) 상기 각각의 블록에 연관된 분자 오비탈 비율(BX(k))(k : 1 내지 N의 자연수)을 계산하는 단계, iv) 상기 분자 오비탈 비율(BX(k))의 크기를 기준으로 상기 블록을 순차적으로 재배열하여 블록 스펙트럼을 얻는 단계, 및 v) 상기 ii)~iv) 단계를 반복하여 블록 크기가 다른 Nx개의 MBS(multi-block spectrum)를 얻는 단계를 통하여 블록 크기가 다른 Nx개의 MBS(multi-block spectrum)를 얻는 블록화 모듈;b) 상기 2개의 대상 분자 오비탈의 각각의 Nx개의 MBS(multi-block spectrum) 로부터 동일한 블록 크기의 Nx개의 MBS pair를 조합한 후, 상기 Nx개의 MBS pair에 대하여 다단계 동일성 평가를 수행하여 각각의 MBS pair에 대한 TSS(m) 값을 계산하여 데이터를 입력받는 데이터 입력 모듈; 및c) 상기 각각의 MBS pair에 대한 TSS(m)값의 표준 편차를 계산하고 이를 통해 정량적으로 분자 오비탈 유사성 편차를 평가하는 평가 모듈을 포함하는 분자 오비탈 유사성 편차 평가 시스템.
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