Which Information Theoretic Quantity Should We Choose for Steric Analysis of Water Nanoclusters (H2O)n (n = 6, 32, 64)?

doi:10.3866/PKU.WHXB201708175

摘要/Abstract

摘要：

As evidenced from recent literature, interest in employing information theory measures for understanding different properties of atomic and molecular systems is increasing tremendously. Following our earlier efforts in this field, we here evaluate the feasibility of using information theory functionals such as Fisher information, Shannon entropy, Onicescu information energy, and Ghosh-Berkowitz-Parr entropy as measures of steric effects for the steric analysis of water nanoclusters. Taking the structural isomers of water hexamers as working models and using information theoretic quantities, we show that the relative energies of water nanoclusters and the computed steric energies are related. We also show the strong effects of steric repulsion on conformational stabilities. At the same time, we have also assessed the usefulness of simultaneously considering the different information theoretic quantities, and achieved more accurate descriptions of the stability of water nanoclusters. In order to consider the effects of cluster size on the obtained results and the extent of applicability of information theoretic quantities, we have also benchmarked larger water nanoclusters with 32 and 64 units. Scrutinizing the obtained data from information theory functionals, we found that Fisher information shows the best overall performance. Our findings underline that the information theoretic quantities, especially Fisher information, can be used as quantitative measures of relative energies and consequently the order of stability of nanoclusters, which affirmed the utility of information theory for investigating various physical and chemical problems.

关键词: Information theory, Fisher information, Shannon entropy, Onicescu information energy, Ghosh-Berkowitz-Parr entropy, Water nanocluster, Steric effect

Abstract:

Key words: Information theory, Fisher information, Shannon entropy, Onicescu information energy, Ghosh-Berkowitz-Parr entropy, Water nanocluster, Steric effect

ALIPOUR Mojtaba. Which Information Theoretic Quantity Should We Choose for Steric Analysis of Water Nanoclusters (H₂O)_n (n = 6, 32, 64)?[J]. 物理化学学报, 2018, 34(4), 407-413. doi: 10.3866/PKU.WHXB201708175

Mojtaba ALIPOUR. Which Information Theoretic Quantity Should We Choose for Steric Analysis of Water Nanoclusters (H₂O)_n (n = 6, 32, 64)?[J]. Acta Phys. -Chim. Sin. 2018, 34(4), 407-413. doi: 10.3866/PKU.WHXB201708175

链接本文: https://www.whxb.pku.edu.cn/CN/10.3866/PKU.WHXB201708175

https://www.whxb.pku.edu.cn/CN/Y2018/V34/I4/407

参考文献

1	Taft R. W., Jr. Steric Effect in Organic Chemistry; Newman M. S., Ed. Wiley: New York, 1956.
2	Hoffmann R. J. Mol. Struct. (THEOCHEM) 1998, 1, 424.
3	Ayers P. W. J. Chem. Phys. 2000, 113, 10886.
4	Parr R. G. ; Ayers P. W. ; Nalewajski R. F. J. Phys. Chem. A 2005, 109, 3957.
5	Ayers P. W. Faraday Discuss. 2007, 135, 161.
6	Hohenberg P. ; Kohn W. Phys. Rev. 1964, 136, B864.
7	Kohn W. ; Sham L. J. Phys. Rev. 1965, 140, A1133.
8	Parr R. G. ; Yang W. Density Functional Theory of Atoms and Molecules Oxford: New York, 1989.
9	Tsuneda T. Density Functional Theory in Quantum Chemistry Springer: New York, 2014.
10	Liu S. B. J. Chem. Phys. 2007, 126, 244103.
11	von Weizs?cker C. F. Z. Phys. 1935, 96, 431.
12	Liu S. B. ; Govind N. ; Pedersen L. G. J. Chem. Phys. 2008, 129, 094104.
13	Torrent-Sucarrat M. ; Liu S. B. ; De Proft F. J. Phys. Chem. A 2009, 113, 3698.
14	Tsirelson V. G. ; Stash A. I. ; Liu S. B. J. Chem. Phys. 2010, 133, 114110.
15	Esquivel R. O. ; Liu S. B. ; Angulo J. C. ; Dehesa J. S. ; Antolín J. ; Molina-Espíritu M. J. Phys. Chem. A 2011, 115, 4406.
16	Huang Y. ; Zhong A.-G. ; Yang Q. ; Liu S. B. J. Chem. Phys. 2011, 134, 084103.
17	Alipour M. ; Mohajeri A. Mol. Phys. 2012, 110, 2895.
18	Rinco?n L. ; Almeida R. J. Phys. Chem. A 2012, 116, 7523.
19	Alipour M. ; Mohajeri A. J. Phys. Org. Chem. 2012, 25, 797.
20	Liu S. B. J. Phys. Chem. A 2013, 117, 962.
21	Rong C. ; Lu T. ; Liu S. B. J. Chem. Phys. 2014, 140, 024109.
22	Alipour M. Chem. Phys. 2014, 434, 11.
23	Liu S. B. ; Schauer C. K. J. Chem. Phys. 2015, 142, 054107.
24	Liu S. B. J. Phys. Chem. A 2015, 119, 3107.
25	Wu Z. ; Rong C. ; Lu T. ; Ayers P. W. ; Liu S. B. Phys. Chem. Chem. Phys. 2015, 17, 27052.
26	Fisher R. A. Proc. Cambridge Philols. Soc. 1925, 22, 700.
27	Shannon C. E. Bell Syst. Tech. J. 1948, 27, 379.
28	Onicescu O. C. R. Acad. Sci. Paris A 1966, 263, 25.
29	Ghosh S. K. ; Berkowitz M. ; Parr R. G. Proc.Natl. Acad.Sci. U. S. A. 1984, 81, 8028.
30	Parr R. G. ; Ayers P. W. ; Nalewajski R. F. J. Phys. Chem. A 2005, 109, 3957.
31	Sen K. D. ; Katriel J. J. Chem. Phys. 2006, 125, 074117.
32	Ayers P. W. Theor. Chem. Acc. 2006, 115, 370.
33	Nagy á. Chem. Phys. Lett. 2007, 449, 212.
34	Borgoo A. ; Geerlings P. ; Sen K. D. Phys. Lett. A 2008, 372, 5106.
35	Nagy á. ; Liu S. B. Phys. Lett. A 2008, 372, 1654.
36	Angulo J. C. ; Antolín J. J. Chem. Phys. 2008, 128, 164109.
37	Tsirelson V. G. ; Nagy á. J. Phys. Chem. A 2009, 113, 9022.
38	Nagy á. ; Romera E. Chem. Phys. Lett. 2010, 490, 242.
39	Geerlings P. ; Borgoo A. Phys. Chem. Chem. Phys. 2011, 13, 911.
40	Alipour M. Mol. Phys. 2013, 111, 3246.
41	Alipour M. Chem. Phys. Lett. 2015, 635, 210.
42	Nagy á. Int. J. Quantum Chem. 2015, 115, 1392.
43	Esquivel R. O. ; Molina-Espíritu M. ; López-Rosa S. ; Soriano-Correa C. ; Barrientos-Salcedo C. ; Kohout M. ; Dehesa J. S. ChemPhysChem 2015, 16, 2571.
44	Delle Site L. Int. J. Quantum Chem. 2015, 115, 1396.
45	Liu S. B. J. Chem. Phys. 2007, 126, 191107.
46	Alipour M. ; Mohajeri A. Mol. Phys. 2012, 110, 403.
47	Liu S. B. Acta Phys. -Chim. Sin. 2016, 32, 98.
48	Alipour M. ; Safari Z. Phys. Chem. Chem. Phys. 2016, 18, 17917.
49	Wang Y. J. ; Zhao D. B. ; Rong C. Y. ; Liu S. B. Acta Phys. -Chim. Sin. 2013, 29, 2173.
50	Alipour M. Chem. Phys. 2014, 434, 11.
51	Frieden B. R. Physics from Fisher Information Cambridge University Press: Cambridge, 1998.
52	HincapiéG. ; Acelas N. ; Casta?o M. ; David J. ; Restrepo A. J. Phys. Chem. A 2010, 114, 7809.
53	Yuan D. ; Li Y. ; Ni Z. ; Pulay P. ; Li W. ; Li S. J. Chem. Theory Comput. 2017, 13, 2696.
54	Frisch M. J. ; Trucks G. W. ; Schlegel H. B. ; et al Gaussian09, Revision B.01 Gaussian Inc.: Wallingford, CT 2010.
55	Lu T. ; Chen F. J. Comput. Chem. 2012, 33, 580.
56	Zhou X. Y. ; Rong C. ; Lu T. ; Zhou P. ; Liu S. B. J. Phys. Chem. A 2016, 120, 3634.
57	Zhou X. ; Yu D. ; Rong C. ; Lu T. ; Liu S. B. Chem. Phys. Lett. 2017, 684, 97.
58	Maroulis G. J. Chem. Phys. 2000, 113, 1813.
59	Maroulis G. Int. J. Quantum Chem. 2012, 112, 2231.

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Which Information Theoretic Quantity Should We Choose for Steric Analysis of Water Nanoclusters (H₂O)_n (n = 6, 32, 64)?

Which Information Theoretic Quantity Should We Choose for Steric Analysis of Water Nanoclusters (H₂O)_n (n = 6, 32, 64)?

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