메뉴 건너뛰기




Volumn 35, Issue 6, 2009, Pages 498-511

Theoretic-information entropies analysis of nanostructures: Ab initio study of PAMAM precursors and dendrimers G0 to G3

Author keywords

Ab initio calculations; Dendrimers; Information theory; Nanostructure; PAMAM

Indexed keywords

AB INITIO CALCULATIONS; AB INITIO STUDY; AB-INITIO ELECTRONIC STRUCTURE CALCULATIONS; ASPHERICITY; CHEMICAL INDICES; DENSE CORE; DESCRIPTORS; ELECTROPHILICITY INDEX; HARTREE-FOCK; INFORMATION ENTROPY; MOMENTS OF INERTIA; MOMENTUM SPACES; NANO-STRUCTURED; POLYAMIDOAMINE DENDRIMERS; RADIUS OF GYRATION; SHANNON ENTROPY; TETRAMERS; TOTAL ENERGY;

EID: 73349084937     PISSN: 08927022     EISSN: 10290435     Source Type: Journal    
DOI: 10.1080/08927020902833087     Document Type: Conference Paper
Times cited : (6)

References (108)
  • 3
    • 0003418177 scopus 로고    scopus 로고
    • J.M.J. Fréchet and D.A. Tomalia (eds.).Wiley Chichester
    • (b) J.M.J. Fréchet and D.A. Tomalia (eds.), Dendrimers and Other Dendritic Polymers, Wiley, Chichester, 2001.
    • (2001) Dendrimers and Other Dendritic Polymers
  • 4
    • 37649026093 scopus 로고    scopus 로고
    • Dendritic encapsulation of function: Applying nature's site isolation principle from biomimetics to materials science
    • S. Hecht and J.M. Fréchet, Dendritic encapsulation of function: Applying nature's site isolation principle from biomimetics to materials science, J. Angew. Chem. Int. Ed. Engl. 40 (2001), pp. 74-91.
    • (2001) J. Angew. Chem. Int. Ed. Engl. , vol.40 , pp. 74-91
    • Hecht, S.1    Fréchet, J.M.2
  • 6
    • 0033119135 scopus 로고    scopus 로고
    • Dendrimers: Fromdesign to application - A progress report
    • (a) M. Fischer and F.Vögtle,Dendrimers: Fromdesign to application - a progress report, Angew. Chem. Int. Ed. 38 (1999), pp. 884-905;
    • (1999) Angew. Chem. Int. Ed. , vol.38 , pp. 884-905
    • Fischer, M.1    Vögtle, F.2
  • 7
    • 3743150592 scopus 로고    scopus 로고
    • Dendrimers in supramolecular chemistry: From molecular recognition to self-assembly
    • (b) F. Zeng and S.C. Zimmerman, Dendrimers in supramolecular chemistry: From molecular recognition to self-assembly, Chem. Rev. 97 (1997), pp. 1681-1712;
    • (1997) Chem. Rev. , vol.97 , pp. 1681-1712
    • Zeng, F.1    Zimmerman, S.C.2
  • 8
    • 0032321246 scopus 로고    scopus 로고
    • Dendrimers: Branching out from curiosities into new technologies
    • (c) O.A. Matthews, A.N. Shipway, and J.F. Stoddart, Dendrimers: Branching out from curiosities into new technologies, Prog. Polym. Sci. 23 (1998), pp. 1-56;
    • (1998) Prog. Polym. Sci. , vol.23 , pp. 1-56
    • Matthews, O.A.1    Shipway, A.N.2    Stoddart, J.F.3
  • 10
    • 0025373701 scopus 로고
    • Starburst dendrimers: Molecular-level control of size, shape, surface chemistry, topology, and flexibility from atoms to macroscopic matter
    • (a) D.A. Tomalia, A.M. Naylor, and W.A. Goddard III, Starburst dendrimers: Molecular-level control of size, shape, surface chemistry, topology, and flexibility from atoms to macroscopic matter, Angew. Chem. Int. Ed. Engl. 29 (1990), pp. 138-175;
    • (1990) Angew. Chem. Int. Ed. Engl. , vol.29 , pp. 138-175
    • Tomalia, D.A.1    Naylor, A.M.2    Goddard, A.I.W.3
  • 11
    • 0037959570 scopus 로고    scopus 로고
    • Structure control within poly(amidoamine) dendrimers: Size, shape and regio-chemical mimicry of globular proteins
    • (b) D.A. Tomalia, B. Huang, D.R. Swanson, H.M. Brothers II, and J.W. Klimash, Structure control within poly(amidoamine) dendrimers: Size, shape and regio-chemical mimicry of globular proteins, Tetrahedron 59 (2003), pp. 3799-3813;
    • (2003) Tetrahedron , vol.59 , pp. 3799-3813
    • Tomalia, D.A.1    Huang, B.2    Swanson, D.R.3    Brothers, M.I.H.4    Klimash, J.W.5
  • 12
    • 0038296922 scopus 로고    scopus 로고
    • A new class of protein mimics: Preparation and electrophoretic properties of polycationic b-alaninebased properties
    • (c) H.-F. Chow, T.K.-K. Mong, Y.-H. Chan, and C.H. Cheng, A new class of protein mimics: Preparation and electrophoretic properties of polycationic b-alaninebased properties, Tetrahedron 59 (2003), pp. 3815-3820;
    • (2003) Tetrahedron , vol.59 , pp. 3815-3820
    • Chow, H.-F.1    Mong, T.K.-K.2    Chan, Y.-H.3    Cheng, C.H.4
  • 13
    • 0037117468 scopus 로고    scopus 로고
    • Supramolecular chemistry and selfassembly special feature: Supramolecular chemistry of dendrimers with functional cores
    • (d) F. Diederich and B. Felber, Supramolecular chemistry and selfassembly special feature: Supramolecular chemistry of dendrimers with functional cores, Proc. Natl Acad. Sci. USA 99 (2002), pp. 4778-4785;
    • (2002) Proc. Natl Acad. Sci. USA , vol.99 , pp. 4778-4785
    • Diederich, F.1    Felber, B.2
  • 14
    • 0141888983 scopus 로고    scopus 로고
    • Dendrimeric pyridoxamine enzyme mimics
    • (e) L. Liu and R.Breslow, Dendrimeric pyridoxamine enzyme mimics, J. Am. Chem. Soc. 125 (2003), pp. 12110-12111.
    • (2003) J. Am. Chem. Soc. , vol.125 , pp. 12110-12111
    • Liu, L.1    Breslow, R.2
  • 15
    • 3743150592 scopus 로고    scopus 로고
    • Dendrimers in supramolecular chemistry: From molecular recognition to self assembly
    • F. Zeng and S.C. Zimmerman, Dendrimers in supramolecular chemistry: From molecular recognition to self assembly, Chem. Rev. 97 (1997), pp. 1681-1712.
    • (1997) Chem. Rev. , vol.97 , pp. 1681-1712
    • Zeng, F.1    Zimmerman, S.C.2
  • 17
    • 0034699527 scopus 로고    scopus 로고
    • Light harvesting dendrimers
    • (b) A. Adronov and J.M. Fréchet, Light harvesting dendrimers, J. Chem. Commun. 18 (2000), pp. 1701-1710;
    • (2000) J. Chem. Commun. , vol.18 , pp. 1701-1710
    • Adronov, A.1    Fréchet, J.M.2
  • 20
    • 0037117526 scopus 로고    scopus 로고
    • Dendrimers and supramolecular chemistry
    • (a) J.M. Fréchet, Dendrimers and supramolecular chemistry, J. Proc. Natl USA 99 (2002), pp. 4782-4787;
    • (2002) J. Proc. Natl USA , vol.99 , pp. 4782-4787
    • Fréchet, J.M.1
  • 21
    • 0030598465 scopus 로고    scopus 로고
    • Self-assembling dendrimers
    • (b) S.C. Zimmerman and V. Zeng, Self-assembling dendrimers, Science 271 (1996), pp. 1095-1098;
    • (1996) Science , vol.271 , pp. 1095-1098
    • Zimmerman, S.C.1    Zeng, V.2
  • 22
    • 0028042356 scopus 로고
    • Encapsulation of guest molecules into a dendritic box
    • (c) J.F.G.A. Jansen and E.W. de Brabander, Encapsulation of guest molecules into a dendritic box, Science 266 (1994), pp. 1226-1229.
    • (1994) Science , vol.266 , pp. 1226-1229
    • Jansen, J.F.G.A.1    Brabander De, E.W.2
  • 23
    • 0032628076 scopus 로고    scopus 로고
    • Comparison of nitrogen core and ethylenediamine core starburst dendrimers through photochemical and spectroscopic probes
    • S. Jockush, J. Ramirez, K. Sanghvi, R. Nociti, N.J. Turro, and D.A. Tomalia, Comparison of nitrogen core and ethylenediamine core starburst dendrimers through photochemical and spectroscopic probes, Macromolecules 32 (1999), pp. 4419-4423.
    • (1999) Macromolecules , vol.32 , pp. 4419-4423
    • Jockush, S.1    Ramirez, J.2    Sanghvi, K.3    Nociti, R.4    Turro, N.J.5    Tomalia, D.A.6
  • 24
    • 0000732554 scopus 로고    scopus 로고
    • Dendrimers III: Design, dimension, function
    • (a) M. Ballauff, Dendrimers III: Design, dimension, function, Top. Curr. Chem. 212 (2001), pp. 177-194;
    • (2001) Top. Curr. Chem. , vol.212 , pp. 177-194
    • Ballauff, M.1
  • 25
    • 33748865682 scopus 로고    scopus 로고
    • Structure of dendrimers in solution as probed by scattering experiments
    • R. Borsali and R. Pecora, eds., Kluwer, Dordrecht
    • (b) D. Pötschke and M. Ballauff, Structure of dendrimers in solution as probed by scattering experiments, in Structure and Dynamics of Polymer and Colloidal Systems, R. Borsali and R. Pecora, eds., Kluwer, Dordrecht, 2002;
    • (2002) Structure and Dynamics of Polymer and Colloidal Systems
    • Pötschke, D.1    Ballauff, M.2
  • 26
    • 0037446418 scopus 로고    scopus 로고
    • Functionalizing the interior of dendrimers: Synthetic challenges and applications
    • (c) S. Hecht, Functionalizing the interior of dendrimers: Synthetic challenges and applications, J. Polym. Sci. A 41 (2003), pp. 1047-1058;
    • (2003) J. Polym. Sci. , vol.A 41 , pp. 1047-1058
    • Hecht, S.1
  • 28
    • 0020749157 scopus 로고
    • Statistics of starburst polymers
    • P.G. de Gennes and H. Hervet, Statistics of starburst polymers, J. Phys. Lett. 44 (1983), pp. L351-L360.
    • (1983) J. Phys. Lett. , vol.44
    • Gennes De, P.G.1    Hervet, H.2
  • 29
    • 0242336780 scopus 로고
    • The statistical mechanics of polymers with excluded volume
    • S.F. Edwards, The statistical mechanics of polymers with excluded volume, Proc. Phys. Soc. Lond. 85 (1965), pp. 613-624.
    • (1965) Proc. Phys. Soc. Lond. , vol.85 , pp. 613-624
    • Edwards, S.F.1
  • 30
    • 0025415106 scopus 로고
    • Configurational characteristics and scaling behavior of starburst molecules: A computational study
    • R.L. Lescanec and M. Muthukumar, Configurational characteristics and scaling behavior of starburst molecules: A computational study, Macromolecules 23 (1990), pp. 2280-2288.
    • (1990) Macromolecules , vol.23 , pp. 2280-2288
    • Lescanec, R.L.1    Muthukumar, M.2
  • 31
    • 0030259028 scopus 로고    scopus 로고
    • A self-consistent mean field model of a starburst dendrimer: Dense core vs dense shell
    • (a) D. Boris and M. Rubinstein, A self-consistent mean field model of a starburst dendrimer: Dense core vs dense shell, Macromolecules 29 (1996), pp. 7251-7260;
    • (1996) Macromolecules , vol.29 , pp. 7251-7260
    • Boris, D.1    Rubinstein, M.2
  • 32
    • 0037428546 scopus 로고    scopus 로고
    • Hollow-core dendrimers revisited
    • (b) T.C. Zook and G. Pickett, Hollow-core dendrimers revisited, Phys. Rev. Lett. 90 (2003), 105502.
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 105502
    • Zook, T.C.1    Pickett, G.2
  • 33
    • 0000936843 scopus 로고    scopus 로고
    • Conformations and dynamics of dendrimers and cascade macromolecules
    • (a) R. La Ferla, Conformations and dynamics of dendrimers and cascade macromolecules, J. Chem. Phys. 106 (1997), pp. 688-700;
    • (1997) J. Chem. Phys. , vol.106 , pp. 688-700
    • La Ferla, R.1
  • 34
    • 0034702660 scopus 로고    scopus 로고
    • Conformational properties and intrinsic viscosity of dendrimers under excludedvolume conditions
    • (b) F. Ganazzoli, R. La Ferla, and G. Terragni, Conformational properties and intrinsic viscosity of dendrimers under excludedvolume conditions, Macromolecules 33 (2000), pp. 6611-6620;
    • (2000) Macromolecules , vol.33 , pp. 6611-6620
    • Ganazzoli, F.1    La Ferla, R.2    Terragni, G.3
  • 35
    • 1942528963 scopus 로고    scopus 로고
    • Conformations and dynamics of stars and dendrimers: The Gaussian self-consistent approach Condens
    • (c) F. Ganazzoli, Conformations and dynamics of stars and dendrimers: The Gaussian self-consistent approach, Condens. Matter Phys. 5 (2002), pp. 37-71.
    • (2002) Matter Phys. , vol.5 , pp. 37-71
    • Ganazzoli, F.1
  • 36
  • 39
    • 4344634395 scopus 로고    scopus 로고
    • Structure of PAMAM dendrimers: Generations 1 through 11
    • P.K. Maiti, T. Cagin, G. Wang, and W.A. Goddard III, Structure of PAMAM dendrimers: Generations 1 through 11, Macromolecules 37 (2004), pp. 6236-6254.
    • (2004) Macromolecules , vol.37 , pp. 6236-6254
    • Maiti, P.K.1    Cagin, T.2    Wang, G.3    Goddard, A.I.W.4
  • 40
    • 7044286336 scopus 로고    scopus 로고
    • Complexation of the lowest generation poly(amidoamine)-NH2 dendrimers with metal ions, metal atoms, and Cu(II) hydrates: An ab initio study
    • F. Tarazona-Vasquez and P.B. Balbuena, Complexation of the lowest generation poly(amidoamine)-NH2 dendrimers with metal ions, metal atoms, and Cu(II) hydrates: An ab initio study, J. Phys. Chem. B 108 (2004), pp. 15992-16001;
    • (2004) J. Phys. Chem. , vol.B 108 , pp. 15992-16001
    • Tarazona-Vasquez, F.1    Balbuena, P.B.2
  • 41
    • 7044229887 scopus 로고    scopus 로고
    • Ab initio study of the lowest energy conformers and IR spectra of poly(amidoamine)-G0 dendrimers
    • F. Tarazona-Vasquez and P.B. Balbuena, Ab initio study of the lowest energy conformers and IR spectra of poly(amidoamine)-G0 dendrimers, J. Phys. Chem. B 108 (2004), pp. 15982-15991;
    • (2004) J. Phys. Chem. , vol.B 108 , pp. 15982-15991
    • Tarazona-Vasquez, F.1    Balbuena, P.B.2
  • 42
    • 0037048423 scopus 로고    scopus 로고
    • Density functional theory studies on the potential energy surface and hyperpolarizability of polyamidoamide dendrimer
    • Ch. Lin, K. Wu, R. Sa, Ch. Mang, P. Liu, and B. Zhuang, Density functional theory studies on the potential energy surface and hyperpolarizability of polyamidoamide dendrimer, Chem. Phys. Lett. 363 (2002), pp. 343-348;
    • (2002) Chem. Phys. Lett. , vol.363 , pp. 343-348
    • Lin, Ch.1    Wu, K.2    Sa, R.3    Mang, Ch.4    Liu, P.5    Zhuang, B.6
  • 43
    • 0037119144 scopus 로고    scopus 로고
    • Hartree-Fock and density functional studies on the structure and vibrational frequencies of quinoxalines - The building blocks for dendrimers
    • S.K. Avinash, R.D. Nilesh, and P.G. Shridhar, Hartree-Fock and density functional studies on the structure and vibrational frequencies of quinoxalines - the building blocks for dendrimers, J. Mol. Struct. Theochem. 589-590 (2002), pp. 301-309.
    • (2002) J. Mol. Struct. Theochem. , vol.589-590 , pp. 301-309
    • Avinash, S.K.1    Nilesh, R.D.2    Shridhar, P.G.3
  • 46
    • 0034511481 scopus 로고    scopus 로고
    • Atoms in molecules, an axiomatic approach. I. Maximum transferability\
    • (c) P. Ayers, Atoms in molecules, an axiomatic approach. I. Maximum transferability, J. Chem. Phys. 113 (2000), pp. 10886-10898;
    • (2000) J. Chem. Phys. , vol.113 , pp. 10886-10898
    • Ayers, P.1
  • 47
    • 0002254462 scopus 로고
    • Quantum theory of atoms in molecules: Dalton revisited
    • (d) R.F.W. Bader and T.T. Nguyen-Dang, Quantum theory of atoms in molecules: Dalton revisited, Adv. Quantum Chem. 14 (1981), pp. 63-124;
    • (1981) Adv. Quantum Chem. , vol.14 , pp. 63-124
    • Bader, R.F.W.1    Nguyen-Dang, T.T.2
  • 48
    • 0011697104 scopus 로고    scopus 로고
    • Atoms-in-molecules partitioning of a molecular density
    • (e) A. Cedillo, P.K. Chattaraj, and R.G. Parr, Atoms-in-molecules partitioning of a molecular density, Int. J. Quantum Chem. 77 (2000), pp. 403-407;
    • (2000) Int. J. Quantum Chem. , vol.77 , pp. 403-407
    • Cedillo, A.1    Chattaraj, P.K.2    Parr, R.G.3
  • 49
    • 0001553329 scopus 로고
    • Bonded-atom fragments for describing molecular charge densities
    • (f) F.L. Hirshfeld, Bonded-atom fragments for describing molecular charge densities, Theor. Chim. Acta 44 (1977), pp. 129-138;
    • (1977) Theor. Chim. Acta , vol.44 , pp. 129-138
    • Hirshfeld, F.L.1
  • 50
    • 36749117171 scopus 로고
    • Electronegativity: The density functional viewpoint
    • (g) R.G. Parr, R.A. Donnelly, M. Levy, and W.E. Palke, Electronegativity: The density functional viewpoint, J. Chem. Phys. 68 (1978), pp. 3801-3807;
    • (1978) J. Chem. Phys. , vol.68 , pp. 3801-3807
    • Parr, R.G.1    Donnelly, R.A.2    Levy, M.3    Palke, W.E.4
  • 51
    • 84987143803 scopus 로고
    • Remarks on the concept of an atom in a molecule and on charge transfer between atoms on molecule formation
    • (h) R.G. Parr, Remarks on the concept of an atom in a molecule and on charge transfer between atoms on molecule formation, Int. J. Quantum Chem. 26 (1984), pp. 687-692;
    • (1984) Int. J. Quantum Chem. , vol.26 , pp. 687-692
    • Parr, R.G.1
  • 52
    • 36549096050 scopus 로고
    • The atom in a molecule: A wave function approach
    • (i) J. Rychlewski and R.G. Parr, The atom in a molecule: A wave function approach, J. Chem. Phys. 84 (1986), pp. 1696-1703;
    • (1986) J. Chem. Phys. , vol.84 , pp. 1696-1703
    • Rychlewski, J.1    Parr, R.G.2
  • 53
    • 36549103990 scopus 로고
    • The atom in a molecule: A density matrix approach
    • (j) L. Li and R.G. Parr, The atom in a molecule: A density matrix approach, J. Chem. Phys. 84 (1986), pp. 1704-1711.
    • (1986) J. Chem. Phys. , vol.84 , pp. 1704-1711
    • Li, L.1    Parr, R.G.2
  • 54
    • 0025952277 scopus 로고
    • Divergence measures based on the Shannon entropy
    • J. Lin, Divergence measures based on the Shannon entropy, IEEE Trans. Inf. Theory 37 (1991), pp. 145-151.
    • (1991) IEEE Trans. Inf. Theory , vol.37 , pp. 145-151
    • Lin, J.1
  • 55
    • 0001536529 scopus 로고
    • Atoms in molecules and crystals
    • (a) W. Moffitt, Atoms in molecules and crystals, Proc. R. Soc. Lond. Ser. A 210 (1951), pp. 245-268;
    • (1951) Proc. R. Soc. Lond. Ser. , vol.A 210 , pp. 245-268
    • Moffitt, W.1
  • 56
    • 0000976633 scopus 로고
    • Electronic structures of molecules XI. Electroaffinity, molecular orbitals and dipole moments
    • (b) R.S. Mulliken, Electronic structures of molecules XI. Electroaffinity, molecular orbitals and dipole moments, J. Chem. Phys. 3 (1935), pp. 573-585;
    • (1935) J. Chem. Phys. , vol.3 , pp. 573-585
    • Mulliken, R.S.1
  • 57
    • 11644266970 scopus 로고
    • Electronic population analysis on LCAOMO molecular wave functions. i
    • (c) R.S. Mulliken, Electronic population analysis on LCAOMO molecular wave functions. I, J. Chem. Phys. 23 (1955), pp. 1833-1840.
    • (1955) J. Chem. Phys. , vol.23 , pp. 1833-1840
    • Mulliken, R.S.1
  • 59
    • 33744486323 scopus 로고    scopus 로고
    • Löwdin population analysis with and without rotational invariance
    • G. Bruhn, E.R. Davidson, I. Mayer, and A.E. Clark, Löwdin population analysis with and without rotational invariance, Int. J. Quantum Chem. 106 (2006), pp. 2065-2072.
    • (2006) Int. J. Quantum Chem. , vol.106 , pp. 2065-2072
    • Bruhn, G.1    Davidson, E.R.2    Mayer, I.3    Clark, A.E.4
  • 60
    • 24544432103 scopus 로고
    • Quantum theory of many-particle systems. I. Physical interpretations by means of density matrices, natural spin-orbitals, and convergence problems in the method of configurational interaction
    • P.O. Löwdin, Quantum theory of many-particle systems. I. Physical interpretations by means of density matrices, natural spin-orbitals, and convergence problems in the method of configurational interaction, Phys. Rev. 97 (1955), pp. 1474-1489.
    • (1955) Phys. Rev. , vol.97 , pp. 1474-1489
    • Löwdin, P.O.1
  • 61
    • 80051546791 scopus 로고    scopus 로고
    • Natural atomic probabilities in quantum information theory
    • DOI : 10.1016/j.cam.2009.02.086
    • E. Carrera, N. Flores-Gallegos, and R.O. Esquivel, Natural atomic probabilities in quantum information theory, J. Comp. App. Math. DOI : 10.1016/j.cam.2009.02.086.
    • J. Comp. App. Math.
    • Carrera, E.1    Flores-Gallegos, N.2    Esquivel, R.O.3
  • 62
    • 0001197070 scopus 로고
    • On the quantum-mechanical kinetic energy as a measure of the information in a distribution Isr
    • (a) S.B. Sears, R.G. Parr, and U. Dinur, On the quantum-mechanical kinetic energy as a measure of the information in a distribution, Isr. J. Chem. 19 (1980), pp. 165-173;
    • (1980) J. Chem. , vol.19 , pp. 165-173
    • Sears, S.B.1    Parr, R.G.2    Dinur, U.3
  • 63
    • 0012008535 scopus 로고
    • Maximum-entropy inference and momentum density approach
    • (b) T. Koga and M. Morita, Maximum-entropy inference and momentum density approach, J. Chem. Phys. 79 (1983), pp. 1933-1938;
    • (1983) J. Chem. Phys. , vol.79 , pp. 1933-1938
    • Koga, T.1    Morita, M.2
  • 64
    • 0000201728 scopus 로고
    • Some novel characteristics of atomic information entropies
    • (c) S.R. Gadre, S.B. Sears, S.J. Chakravorty, and R.D. Bendale, Some novel characteristics of atomic information entropies, Phys. Rev. A 32 (1985), pp. 2602-2607;
    • (1985) Phys. Rev. , vol.A 32 , pp. 2602-2607
    • Gadre, S.R.1    Sears, S.B.2    Chakravorty, S.J.3    Bendale, R.D.4
  • 65
    • 0001572641 scopus 로고
    • Tight rigorous bounds to atomic information entropies
    • (d) J.C. Angulo and J.S. Dehesa, Tight rigorous bounds to atomic information entropies, J. Chem. Phys. 97 (1992), pp. 6485-6495;
    • (1992) J. Chem. Phys. , vol.97 , pp. 6485-6495
    • Angulo, J.C.1    Dehesa, J.S.2
  • 66
    • 0002241251 scopus 로고
    • Upper and lower bounds on the radial electron density in atoms
    • (e) J. Antolín, A. Zarzo, and J.C. Angulo, Upper and lower bounds on the radial electron density in atoms, Phys. Rev. A 48 (1993), pp. 4149-4155;
    • (1993) Phys. Rev. , vol.A 48 , pp. 4149-4155
    • Antolín, J.1    Zarzo, A.2    Angulo, J.C.3
  • 67
    • 0042066853 scopus 로고    scopus 로고
    • Amount of information present in the one-particle density matrix and the charge density
    • (f) J.C. Ramirez, J.M.H. Perez, R.P. Sagar, R.O. Esquivel, M. Ho, and V.H. Smith Jr., Amount of information present in the one-particle density matrix and the charge density, Phys. Rev. A 58 (1998), pp. 3507-3515;
    • (1998) Phys. Rev. , vol.A 58 , pp. 3507-3515
    • Ramirez, J.C.1    Perez, J.M.H.2    Sagar, R.P.3    Esquivel, R.O.4    Ho, M.5
  • 68
    • 0035833816 scopus 로고    scopus 로고
    • Information theory thermodynamics of molecules and their hirshfeld fragments
    • (g) R.F. Nalewajski and R.G. Parr, Information theory thermodynamics of molecules and their hirshfeld fragments, J. Phys. Chem. A 105 (2001), pp. 7391-7400;
    • (2001) J. Phys. Chem. , vol.A 105 , pp. 7391-7400
    • Nalewajski, R.F.1    Parr, R.G.2
  • 69
    • 0344667553 scopus 로고    scopus 로고
    • Fisher information in density functional theory
    • (h) A. Nagy, Fisher information in density functional theory, J. Chem. Phys. 119 (2003), pp. 9401-9405;
    • (2003) J. Chem. Phys. , vol.119 , pp. 9401-9405
    • Nagy, A.1
  • 70
    • 2942566055 scopus 로고    scopus 로고
    • The Fisher-Shannon information plane, an electron correlation tool
    • (i) E. Romera and J.S. Dehesa, The Fisher-Shannon information plane, an electron correlation tool, J. Chem. Phys. 120 (2004), pp. 8906-8912;
    • (2004) J. Chem. Phys. , vol.120 , pp. 8906-8912
    • Romera, E.1    Dehesa, J.S.2
  • 71
    • 34547649460 scopus 로고    scopus 로고
    • Characteristic features of Shannon information entropy of confined atoms
    • (j) K.D. Sen, Characteristic features of Shannon information entropy of confined atoms, J. Chem. Phys. 123 (2005), 074110 (1-9);
    • (2005) J. Chem. Phys. , vol.123 , Issue.1-9 , pp. 074110
    • Sen, K.D.1
  • 72
  • 73
    • 22944453366 scopus 로고    scopus 로고
    • Local correlation measures in atomic systems
    • (l) N.L. Guevara, R.P. Sagar, R.O. Esquivel, Local correlation measures in atomic systems, J. Chem. Phys. 122 (2005), 084101-1- 084101-8;
    • (2005) J. Chem. Phys. , vol.122 , pp. 0841011-0841018
    • Guevara, N.L.1    Sagar, R.P.2    Esquivel, R.O.3
  • 74
    • 33744988081 scopus 로고    scopus 로고
    • Fisher information in a two-electron entangled artificial atom
    • (m) A. Nagy, Fisher information in a two-electron entangled artificial atom, Chem. Phys. Lett. 425 (2006), pp. 154-156;
    • (2006) Chem. Phys. Lett. , vol.425 , pp. 154-156
    • Nagy, A.1
  • 75
    • 33645717078 scopus 로고    scopus 로고
    • Density bifunctional theory using the mass density and the charge density
    • (n) W. Ayers, Density bifunctional theory using the mass density and the charge density, Theor. Chem. Acc. 115 (2006), pp. 253-256;
    • (2006) Theor. Chem. Acc. , vol.115 , pp. 253-256
    • Ayers, W.1
  • 76
    • 34249085007 scopus 로고    scopus 로고
    • On the relationship between densities of Shannon entropy and Fisher information for atoms and molecules
    • (o) S.J. Liu, On the relationship between densities of Shannon entropy and Fisher information for atoms and molecules, Chem. Phys. 126 (2007), 191107-1-191107-191113
    • (2007) Chem. Phys. , vol.126 , pp. 1911071-191107191113
    • Liu, S.J.1
  • 77
    • 36149037239 scopus 로고
    • The aspherity of random walks
    • G. Rudnick and G. Gaspari, The aspherity of random walks, J. Phys. A 4 (1986), pp. L191-L194.
    • (1986) J. Phys. , vol.A 4
    • Rudnick, G.1    Gaspari, G.2
  • 78
    • 0347291894 scopus 로고
    • Absolute hardness: Companion parameter to absolute electronegativity
    • (a) R.G. Parr and R.G. Pearson, Absolute hardness: Companion parameter to absolute electronegativity, J. Am. Chem. Soc. 105 (1983), pp. 7512-7516;
    • (1983) J. Am. Chem. Soc. , vol.105 , pp. 7512-7516
    • Parr, R.G.1    Pearson, R.G.2
  • 80
    • 50249212855 scopus 로고
    • Ueber die Zuordaung von Wellenfunktionen und Eigenwerten zu den einzelnen Elektronen eines Atoms
    • T.A. Koopmans, Ueber die Zuordaung von Wellenfunktionen und Eigenwerten zu den einzelnen Elektronen eines Atoms, Physica 1 (1933), pp. 104-113;
    • (1933) Physica , vol.1 , pp. 104-113
    • Koopmans, T.A.1
  • 81
    • 0000058492 scopus 로고
    • Proof that ∂e/∂ni = ε in density-functional theory
    • J.F. Janak, Proof that ∂E/∂ni = ε in density-functional theory, Phys. Rev B 18 (1978), pp. 7165-7168.
    • (1978) Phys. Rev B , vol.18 , pp. 7165-7168
    • Janak, J.F.1
  • 82
    • 0001340767 scopus 로고
    • Correlation between hardness, polarizability, and size of atoms, molecules, and clusters
    • T.K. Ghanty and S.K. Ghosh, Correlation between hardness, polarizability, and size of atoms, molecules, and clusters, J. Phys. Chem. 97 (1993), pp. 4951-4953;
    • (1993) J. Phys. Chem. , vol.97 , pp. 4951-4953
    • Ghanty, T.K.1    Ghosh, S.K.2
  • 83
    • 0000163678 scopus 로고
    • Correlation of polarizability, hardness, and electronegativity: Polyatomic molecules
    • R. Roy, A.K. Chandra, and S. Pal, Correlation of polarizability, hardness, and electronegativity: Polyatomic molecules, J. Phys. Chem. 98 (1994), pp. 10447-10450;
    • (1994) J. Phys. Chem. , vol.98 , pp. 10447-10450
    • Roy, R.1    Chandra, A.K.2    Pal, S.3
  • 84
    • 0000478988 scopus 로고
    • Hardness and electric dipole polarizability. Atoms and clusters
    • S. Hati and D. Datta, Hardness and electric dipole polarizability. Atoms and clusters, J. Phys. Chem. 98 (1994), pp. 10451-10454;
    • (1994) J. Phys. Chem. , vol.98 , pp. 10451-10454
    • Hati, S.1    Datta, D.2
  • 85
    • 4243804275 scopus 로고    scopus 로고
    • On the density functional relationship between static dipole polarizability and global softness
    • Y. Simon-Manso and P. Fuenteaelba, On the density functional relationship between static dipole polarizability and global softness, J. Phys. Chem. A 102 (1998), pp. 2029-2032.
    • (1998) J. Phys. Chem. , vol.A 102 , pp. 2029-2032
    • Simon-Manso, Y.1    Fuenteaelba, P.2
  • 87
    • 0345114077 scopus 로고
    • Hard and soft acids and bases
    • (a) R.G. Pearson, Hard and soft acids and bases, J. Am. Chem. Soc. 85 (1963), pp. 3533-3543;
    • (1963) J. Am. Chem. Soc. , vol.85 , pp. 3533-3543
    • Pearson, R.G.1
  • 91
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • C.E. Shannon, A mathematical theory of communication, Bell Syst. Tech. J. 27 (1948), pp. 379-423.
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 92
    • 0000617016 scopus 로고
    • Uncertainty relations for information entropy in wave mechanics
    • I. Bialynicky-Birula and J. Mycielski, Uncertainty relations for information entropy in wave mechanics, J. Commun. Math. Phys. 44 (1975), pp. 129-132.
    • (1975) J. Commun. Math. Phys. , vol.44 , pp. 129-132
    • Bialynicky-Birula, I.1    Mycielski, J.2
  • 93
    • 4243333196 scopus 로고
    • On the orthogonality problem
    • P.O. Lowdin, On the orthogonality problem, Adv. Quantum Chem. 5 (1970), p. 185.
    • (1970) Adv. Quantum Chem. , vol.5 , pp. 185
    • Lowdin, P.O.1
  • 94
    • 36749116113 scopus 로고
    • Natural bond orbital analysis of near- Hartree-Fock water dimmer
    • A.E. Reed and F. Weinhold, Natural bond orbital analysis of near- Hartree-Fock water dimmer, J. Chem. Phys. 78 (1983), pp. 4066-4073.
    • (1983) J. Chem. Phys. , vol.78 , pp. 4066-4073
    • Reed, A.E.1    Weinhold, F.2
  • 95
    • 36849109127 scopus 로고
    • Electronic population analysis of molecular wavefunctions
    • E.R. Davidson, Electronic population analysis of molecular wavefunctions, J. Chem. Phys. 46 (1967), pp. 3320-3324.
    • (1967) J. Chem. Phys. , vol.46 , pp. 3320-3324
    • Davidson, E.R.1
  • 97
    • 73349142232 scopus 로고    scopus 로고
    • Von Neumann entropies analysis in Hilbert space for the dissociation processes of homonuclear and heteronuclear diatomic molecules
    • N. Flores-Gallegos and R.O. Esquivel, von Neumann entropies analysis in Hilbert space for the dissociation processes of homonuclear and heteronuclear diatomic molecules, J. Mex. Chem. Soc. 52(1) (2008), pp. 19-30.
    • (2008) J. Mex. Chem. Soc. , vol.52 , Issue.1 , pp. 19-30
    • Flores-Gallegos, N.1    Esquivel, R.O.2
  • 98
    • 5844266551 scopus 로고
    • General properties of entropy
    • A. Wehrl, General properties of entropy, Rev.Mod. Phys. 50 (1978), pp. 221-260;
    • (1978) Rev.Mod. Phys. , vol.50 , pp. 221-260
    • Wehrl, A.1
  • 99
    • 0036013604 scopus 로고    scopus 로고
    • The role of relative entropy in quantum information theory
    • V. Vedral, The role of relative entropy in quantum information theory, Rev. Mod. Phys. 74 (2002), pp. 197-234.
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 197-234
    • Vedral, V.1
  • 101
    • 0001927585 scopus 로고
    • On information and sufficiency
    • S. Kullback and R.A. Leibler, On information and sufficiency, Ann. Math. Stat. 22 (1951), pp. 79-86.
    • (1951) Ann. Math. Stat. , vol.22 , pp. 79-86
    • Kullback, S.1    Leibler, R.A.2
  • 105
    • 0027659117 scopus 로고
    • A simple, efficient and more reliable scheme for automatic numerical integration
    • J.M. Pérez-Jordá and E. San-Fabián, A simple, efficient and more reliable scheme for automatic numerical integration, Comput. Phys. Commun. 77 (1993), pp. 46-56;
    • (1993) Comput. Phys. Commun. , vol.77 , pp. 46-56
    • Pérez-Jordá, J.M.1    San-Fabián, E.2
  • 106
    • 0001735201 scopus 로고
    • Automatic numerical integration techniques for polyatomic molecules
    • J.M. Pérez-Jordá, A.D. Becke, and E. San-Fabián, Automatic numerical integration techniques for polyatomic molecules, J. Chem. Phys. 100 (1994), pp. 6520-6534.
    • (1994) J. Chem. Phys. , vol.100 , pp. 6520-6534
    • Pérez-Jordá, J.M.1    Becke, A.D.2    San-Fabián, E.3
  • 108
    • 4644293700 scopus 로고    scopus 로고
    • Dendrimers in solution: Insight from theory and simulation
    • M. Ballauff and C.N. Likos, Dendrimers in solution: Insight from theory and simulation, Angew. Chem. Int. Ed. 43 (2004), pp. 2998-3020.
    • (2004) Angew. Chem. Int. Ed. , vol.43 , pp. 2998-3020
    • Ballauff, M.1    Likos, C.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.