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- 2018
Fukui Functions for the Temporary Anion Resonance States of Be-, Mg-, and Ca-
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Abstract:
In this work, the Fukui functions of the two 2P resonance states of Be-, a 2P resonance state of Mg-, and a 2D resonance state of Ca- have been determined. The trajectories of these resonance states, in conjunction with the complex rotation of the Hamiltonian, were used to determine their wave functions. The electron densities, Fukui functions, and values of the hyper-radius < r2 > were computed from these wave functions. The Fukui functions have negative regions in the valence shell in addition to the inner shell regions, indicating screening effects of the outer temporary electron. Selected configuration interactions with up to quadruple excitations were used along the trajectories and for computing the final wave function. Based on this data, the densities, Fukui functions, and < r2 > were calculated.
In this work, the Fukui functions of the two 2P resonance states of Be-, a 2P resonance state of Mg-, and a 2D resonance state of Ca- have been determined. The trajectories of these resonance states, in conjunction with the complex rotation of the Hamiltonian, were used to determine their wave functions. The electron densities, Fukui functions, and values of the hyper-radius < r2 > were computed from these wave functions. The Fukui functions have negative regions in the valence shell in addition to the inner shell regions, indicating screening effects of the outer temporary electron. Selected configuration interactions with up to quadruple excitations were used along the trajectories and for computing the final wave function. Based on this data, the densities, Fukui functions, and < r2 > were calculated
[1] | 12 Mishra M. ; Goscinski O. ; ?hrn Y. J. Chem. Phys. 1983, 79, 5494. doi: 10.1063/1.445667 |
[2] | 23 Perdew J. P. ; Parr R. G. ; Levy M. ; Balduz J. L. ; Jr. Phys. Rev. Lett. 1982, 49, 1691. doi: 10.1103/PhysRevLett.49.1691 |
[3] | 30 Almora-Diaz C. X. ; Bunge C. F. Int. J. Quantum Chem. 2010, 110, 2982. doi: 10.1002/qua.22835 |
[4] | 32 Jitrik O. ; Bunge C. F. Phys. Rev. A 1997, 56, 2614. doi: 10.1103/PhysRevA.56.2614 |
[5] | 37 Venkatnathan A. ; Mishra M. K. ; Jensen H. J. A. Theor. Chem. Acc 2000, 104, 445. doi: 10.1007/s002140000164 |
[6] | 38 Burrow P. D. ; Michejda J. A. ; Comer J. J. Phys. B: Atom. Mol. Opt. Phys. 1976, 9, 3225. doi: 10.1088/0022-3700/9/18/014 |
[7] | 2 Aflatooni K. ; Gallup G. A. ; Burrow P. D. J. Phys. Chem. A 1998, 102, 6205. doi: 10.1021/jp980865n |
[8] | 3 Tozer D. J. ; De Proft F. J. Chem. Phys. 2007, 127, 034108. doi: 10.1063/1.2751158 |
[9] | 4 Jordan K. D. ; Voora V. K. ; Simons J. Theor. Chem. Acc. 2014, 133, 1445. doi: 10.1007/s00214-014-1445-1 |
[10] | 5 Falcetta M. F. ; DiFalco L. A. ; Ackerman D. S. ; Barlow J. C. ; Jordan K. D. J. Phys. Chem. A 2014, 118, 7489. doi: 10.1021/jp5003287 |
[11] | 6 Macias A. ; Riera A. J. Chem. Phys. 1992, 96, 2877. doi: 10.1063/1.461984 |
[12] | 7 Riera A. J. Phys. Chem. 1993, 97, 1558. doi: 10.1021/j100110a016 |
[13] | 8 Riera A. J. Mol. Struc. 1993, 284, 175. doi: 10.1016/0166-1280(93)87002-U |
[14] | 9 Moiseyev N. Physics Reports 1998, 302, 212. doi: 10.1016/S0370-1573(98)00002-7 |
[15] | 10 Doolen G. D. J. Phys. B: At. Mol. Opt. Phys. 1975, 8, 525. doi: 10.1088/0022-3700/8/4/010 |
[16] | 11 Moiseyev N. ; Certain P. R. ; Weinhold F. Mol. Phys. 1978, 36, 1613. doi: 10.1080/00268977800102631 |
[17] | 13 Moiseyev N. ; Friedland S. ; Certain P. R. J. Chem. Phys. 1981, 74, 4739. doi: 10.1063/1.441624 |
[18] | 14 Br?ndas E. ; Elander N. Lecture Notes in Physics 1989, 325, 541. doi: 10.1007/3-540-50994-1 |
[19] | 39 Johnston A. R. ; Gallup G. A. ; Burrow P. D. Phys. Rev. A 1989, 40, 4770. doi: 10.1103/PhysRevA.40.4770 |
[20] | 1 Cau?t E. ; Bogatko S. ; Liévin J. De Proft F. ; Geerlings P. J. Phys. Chem. 2013, 117, 9669. doi: 10.1021/jp406320g |
[21] | 15 Ried C. E. ; Br?ndas E. Lecture Notes in Physics 1989, 325, 475. doi: 10.1007/3-540-50994-1 |
[22] | 16 Riss U. V. ; Meyer H. D. J. Phys. B: At. Mol. Opt. Phys. 1993, 26, 4503. doi: 10.1088/0953-4075/26/23/021 |
[23] | 17 Jagau T. C. ; Zuev D. ; Bravaya K. B. ; Epifanovsky E. ; Krylov A. I. J. Phys. Chem. Lett. 2014, 5, 310. doi: 10.1021/jz402482a |
[24] | 18 Jagau T. C. ; Krylov A. I. J. Chem. Phys. 2016, 144, 054113. doi: 10.1063/1.4940797 |
[25] | 19 ParrR.;YangW.Density-Functional Theory of Atoms and Molecules;New York:Oxford Science Publications1989. |
[26] | 20 Ayers P. W. ; Levy M. Theor. Chem. Acc. 2000, 103, 353. doi: 10.1007/s002149900093 |
[27] | 21 Chatteraj P. K. Chemical Reactivity Theory Boca Roton: CRC Press, 2009. |
[28] | 22 Parr R. G. ; Yang W. J. Am. Chem. Soc. 1984, 106, 4049. doi: 10.1021/ja00326a036 |
[29] | 24 Galván M. ; Vela A. ; Gazquez J. L. J. Phys. Chem. 1988, 92, 6470. doi: 10.1021/j100333a056 |
[30] | 25 Garza J. ; Vargas R. ; Cedillo A. ; Galván M. ; Chattaraj P. K. Theor. Chem. Acc. 2006, 115, 257. doi: 10.1007/s00214-005-0002-3 |
[31] | 26 Ayers P. W. ; Morrison R. C. ; Roy R. K. J. Chem. Phys. 2002, 116, 8731. doi: 10.1063/1.1467338 |
[32] | 27 Bunge C. F. Mol. Phys. 2010, 108, 3279. doi: 10.1080/00268976.2010.508051 |
[33] | 28 Bunge C. F. J. Chem. Phys. 2006, 125, 014107. doi: 10.1063/1.2207620 |
[34] | 29 Bunge C. F. Theor. Chem. Acc. 2010, 126, 139. doi: 10.1007/s00214-009-0601-5 |
[35] | 31 LehoucqR.;SorensenD. C.;YangC.ARPACK Users Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods;Philadelphia:SIAM1998. |
[36] | 33 Sajeev Y. Chem. Phys. Lett. 2013, 587, 105. doi: 10.1016/j.cplett.2013.09.052 |
[37] | 34 Samanta K. ; Yeager D. L. Adv. Chem. Phys. 2012, 150, 103. doi: 10.1002/9781118197714.ch2 |
[38] | 35 Tsogbaya T. ; Yeager D. L. Chem. Phys. 2017, 482, 201. doi: 10.1016/j.chemphys.2016.07.020 |
[39] | 36 Falcetta M. F. ; Reilly N. D. ; Jordan K. D. Chem. Phys. 2017, 482, 239. doi: 10.1016/j.chemphys.2016.09.005 |
[40] | 40 Gallup G. A. ; Burrow P. D. ; Fabrikant I. I. Phys. Rev. A 2009, 79, 042701. doi: 10.1103/PhysRevA.79.042701 |