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Volumn 13, Issue , 2011, Pages 147-156

Fragmentation selection strategies in linear scaling methods

Author keywords

Additive fuzzy density fragmentation principle; Adjustable density matrix assembler (ADMA); Delocalized fragments; Functional groups; Molecular fragments; Multi Procrustes fragmentation; Procrustes fragmentation; Trigonometric weighting

Indexed keywords


EID: 84873650127     PISSN: 25424491     EISSN: 25424483     Source Type: Book Series    
DOI: 10.1007/978-90-481-2853-2_7     Document Type: Chapter
Times cited : (8)

References (43)
  • 1
    • 26944478217 scopus 로고    scopus 로고
    • Fuzzy fragment selection strategies, basis set dependence, and HF – DFT comparisons in the applications of the ADMA method of macromolecular quantum chemistry
    • Szekeres ZS, Exner TE, Mezey PG (2005) Fuzzy fragment selection strategies, basis set dependence, and HF – DFT comparisons in the applications of the ADMA method of macromolecular quantum chemistry. Int J Quantum Chem 104:847–860
    • (2005) Int J Quantum Chem , vol.104 , pp. 847-860
    • Szekeres, Z.S.1    Exner, T.E.2    Mezey, P.G.3
  • 2
    • 11644266970 scopus 로고
    • Electronic population analysis on LCAO-MO molecular wave functions. I
    • Mulliken RS (1955) Electronic population analysis on LCAO-MO molecular wave functions. I, J Chem Phys 23:1833–1840
    • (1955) J Chem Phys , vol.23 , pp. 1833-1840
    • Mulliken, R.S.1
  • 3
    • 36849130718 scopus 로고
    • Electronic population analysis on LCAO-MO molecular wave functions. II. Overlap populations, bond orders, and covalent bond energies
    • Mulliken RS (1955) Electronic population analysis on LCAO-MO molecular wave functions. II. Overlap populations, bond orders, and covalent bond energies. J Chem Phys 23:1841–1846
    • (1955) J Chem Phys , vol.23 , pp. 1841-1846
    • Mulliken, R.S.1
  • 4
    • 36849131261 scopus 로고
    • Electronic population analysis on LCAO-MO molecular wave functions. III. Effects of hybridization on overlap and gross AO populations
    • Mulliken RS (1955) Electronic population analysis on LCAO-MO molecular wave functions. III. Effects of hybridization on overlap and gross AO populations. J Chem Phys 23:2338–2342
    • (1955) J Chem Phys , vol.23 , pp. 2338-2342
    • Mulliken, R.S.1
  • 5
    • 0041555242 scopus 로고
    • Electronic population analysis on LCAO-MO molecular wave functions. IV. Bonding and antibonding in LCAO and valence-bond theories
    • Mulliken RS (1955) Electronic population analysis on LCAO-MO molecular wave functions. IV. Bonding and antibonding in LCAO and valence-bond theories. J Chem Phys 23:2343–2346
    • (1955) J Chem Phys , vol.23 , pp. 2343-2346
    • Mulliken, R.S.1
  • 6
    • 10644250257 scopus 로고
    • Inhomogeneous electron gas
    • Hohenberg P, Kohn W (1964) Inhomogeneous electron gas. Phys Rev 136:B864–B871
    • (1964) Phys Rev , vol.136 , pp. B864-B871
    • Hohenberg, P.1    Kohn, W.2
  • 7
    • 0018605084 scopus 로고
    • Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v-representability problem
    • Levy M (1979) Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v-representability problem. Proc Natl Acad Sci USA 76:6062–6065
    • (1979) Proc Natl Acad Sci USA , vol.76 , pp. 6062-6065
    • Levy, M.1
  • 8
    • 10044230569 scopus 로고
    • Electron densities in search of Hamiltonians
    • Levi M (1982) Electron densities in search of Hamiltonians. Phys Rev A 26:1200–1208
    • (1982) Phys Rev A , vol.26 , pp. 1200-1208
    • Levi, M.1
  • 9
    • 3042938872 scopus 로고
    • Constrianed-search formulation and recent coordinate scaling in density functional theory
    • Levy M (1990) Constrianed-search formulation and recent coordinate scaling in density functional theory. Adv Quantum Chem 21:69–79
    • (1990) Adv Quantum Chem , vol.21 , pp. 69-79
    • Levy, M.1
  • 12
    • 85047693416 scopus 로고
    • The theorem of Hohenberg and Kohn for subdomains of a quantum system
    • Riess J, Munch W (1981) The theorem of Hohenberg and Kohn for subdomains of a quantum system. Theor Chim Acta 58:295–300
    • (1981) Theor Chim Acta , vol.58 , pp. 295-300
    • Riess, J.1    Munch, W.2
  • 13
    • 0000033460 scopus 로고    scopus 로고
    • The holographic electron density theorem and quantum similarity measures
    • Mezey PG (1999) The holographic electron density theorem and quantum similarity measures. Mol Phys 96:169–178
    • (1999) Mol Phys , vol.96 , pp. 169-178
    • Mezey, P.G.1
  • 14
    • 0032393952 scopus 로고    scopus 로고
    • Generalized chirality and symmetry deficiency
    • Mezey PG (1998) Generalized chirality and symmetry deficiency. J Math Chem 23:65–84
    • (1998) J Math Chem , vol.23 , pp. 65-84
    • Mezey, P.G.1
  • 15
    • 0033094163 scopus 로고    scopus 로고
    • Holographic electron density shape theorem and its role in drug design and toxicological risk assessment
    • Mezey PG (1999) Holographic electron density shape theorem and its role in drug design and toxicological risk assessment. J Chem Inf Comp Sci 39:224–230
    • (1999) J Chem Inf Comp Sci , vol.39 , pp. 224-230
    • Mezey, P.G.1
  • 16
    • 0035471113 scopus 로고    scopus 로고
    • The holographic principle for latent molecular properties
    • Mezey PG (2001) The holographic principle for latent molecular properties. J Math Chem 30: 299–303
    • (2001) J Math Chem , vol.30 , pp. 299-303
    • Mezey, P.G.1
  • 17
    • 0035471111 scopus 로고    scopus 로고
    • A uniqueness theorem on molecular recognition
    • Mezey PG (2001) A uniqueness theorem on molecular recognition. J Math Chem 30:305–313
    • (2001) J Math Chem , vol.30 , pp. 305-313
    • Mezey, P.G.1
  • 18
    • 34247237225 scopus 로고    scopus 로고
    • A fundamental relation of molecular informatics: Information carrying properties of density functions
    • Mezey PG (2007) A fundamental relation of molecular informatics: information carrying properties of density functions. Collect Czech Chem Commun 72:153–163
    • (2007) Collect Czech Chem Commun , vol.72 , pp. 153-163
    • Mezey, P.G.1
  • 19
    • 0001118669 scopus 로고
    • Shape analysis of macromolecular electron densities
    • Mezey PG (1995) Shape analysis of macromolecular electron densities. Struct Chem 6:261–270
    • (1995) Struct Chem , vol.6 , pp. 261-270
    • Mezey, P.G.1
  • 20
    • 21844503595 scopus 로고
    • Macromolecular density matrices and electron densities with adjustable nuclear geometries
    • Mezey PG (1995) Macromolecular density matrices and electron densities with adjustable nuclear geometries. J Math Chem 18:141–168
    • (1995) J Math Chem , vol.18 , pp. 141-168
    • Mezey, P.G.1
  • 21
    • 0000673969 scopus 로고    scopus 로고
    • Local shape analysis of macromolecular electron densities
    • Leszczynski J, World Scientific Publishing, Singapore, pp
    • Mezey PG (1996) Local shape analysis of macromolecular electron densities. In: Leszczynski J (ed) Computational chemistry: reviews and current trends, vol.1. World Scientific Publishing, Singapore, pp 109–137
    • (1996) Computational Chemistry: Reviews and Current Trends, Vol.1 , pp. 109-137
    • Mezey, P.G.1
  • 22
    • 0002057915 scopus 로고    scopus 로고
    • Quantum similarity measures and Löwdin’s transform for approximate density matrices and macromolecular forces
    • Mezey PG (1997) Quantum similarity measures and Löwdin’s transform for approximate density matrices and macromolecular forces. Int J Quantum Chem 63:39–48
    • (1997) Int J Quantum Chem , vol.63 , pp. 39-48
    • Mezey, P.G.1
  • 23
    • 84956767824 scopus 로고
    • The wave mechanics of an atom with a non-coulomb central field. Part I. Theory and methods
    • Hartree DR (1928) The wave mechanics of an atom with a non-coulomb central field. Part I. Theory and methods. Proc Camb Philol Soc 24:89–110
    • (1928) Proc Camb Philol Soc , vol.24 , pp. 89-110
    • Hartree, D.R.1
  • 24
    • 84932819436 scopus 로고
    • The wave mechanics of an atom with a non-coulomb central field. Part II. Some results and discussion
    • Hartree DR (1928) The wave mechanics of an atom with a non-coulomb central field. Part II. Some results and discussion. Proc Camb Philolo Soc 24:111–132
    • (1928) Proc Camb Philolo Soc , vol.24 , pp. 111-132
    • Hartree, D.R.1
  • 25
    • 0008025258 scopus 로고
    • The wave mechanics of an atom with a non-coulomb central field. Part III. Term values and intensities in series in optical spectra
    • Hartree DR (1928) The wave mechanics of an atom with a non-coulomb central field. Part III. Term values and intensities in series in optical spectra. Proc Camb Philol Soc 24:426–437
    • (1928) Proc Camb Philol Soc , vol.24 , pp. 426-437
    • Hartree, D.R.1
  • 26
    • 67049130215 scopus 로고
    • The wave mechanics of an atom with a non-coulomb central field. Part IV. Further results relating to terms of the optical spectrum
    • Hartree DR (1929) The wave mechanics of an atom with a non-coulomb central field. Part IV. Further results relating to terms of the optical spectrum. Proc Camb Philol Soc 25:310–314
    • (1929) Proc Camb Philol Soc , vol.25 , pp. 310-314
    • Hartree, D.R.1
  • 27
    • 34250926854 scopus 로고
    • Naeherungsmethode zur Loesing des quantenmechanischen Mehrkoerperproblems
    • Fock V (1930) Naeherungsmethode zur Loesing des quantenmechanischen Mehrkoerperproblems. Z Phys 61:126–148
    • (1930) Z Phys , vol.61 , pp. 126-148
    • Fock, V.1
  • 29
    • 0001574917 scopus 로고
    • The molecular orbital theory of chemical valency. VIII. A method of calculating ionization potentials
    • Hall GG (1951) The molecular orbital theory of chemical valency. VIII. A method of calculating ionization potentials. Proc Roy Soc London A205:541–552
    • (1951) Proc Roy Soc London A , vol.205 , pp. 541-552
    • Hall, G.G.1
  • 30
    • 0027860335 scopus 로고
    • Molecular electron density lego approach to molecule building
    • Walker PD, Mezey PG (1993) Molecular electron density lego approach to molecule building. J Am Chem Soc 115:12423–12430
    • (1993) J am Chem Soc , vol.115 , pp. 12423-12430
    • Walker, P.D.1    Mezey, P.G.2
  • 31
    • 0028321320 scopus 로고
    • Ab initio quality electron densities for proteins: A MEDLA approach
    • Walker PD, Mezey PG (1994) Ab initio quality electron densities for proteins: a MEDLA approach. J Am Chem Soc 116:12022–12032
    • (1994) J am Chem Soc , vol.116 , pp. 12022-12032
    • Walker, P.D.1    Mezey, P.G.2
  • 32
    • 0028625353 scopus 로고
    • Realistic, detailed images of proteins and tertiary structure elements: Ab initio quality electron density calculations for bovine insulin
    • Walker PD, Mezey PG (1994) Realistic, detailed images of proteins and tertiary structure elements: ab initio quality electron density calculations for bovine insulin. Can J Chem 72:2531–2536
    • (1994) Can J Chem , vol.72 , pp. 2531-2536
    • Walker, P.D.1    Mezey, P.G.2
  • 33
    • 21844508739 scopus 로고
    • A new computational microscope for molecules: High resolution MEDLA images of Taxol and HIV-1 protease, using additive electron density fragmentation principles and fuzzy set methods
    • Walker PD, Mezey PG (1995) A new computational microscope for molecules: high resolution MEDLA images of Taxol and HIV-1 protease, using additive electron density fragmentation principles and fuzzy set methods. J Math Chem 17:203–234
    • (1995) J Math Chem , vol.17 , pp. 203-234
    • Walker, P.D.1    Mezey, P.G.2
  • 34
    • 84986431046 scopus 로고
    • Towards similarity measures for macromolecular bodies: Medla test calculations for substituted benzene systems
    • Walker PD, Mezey PG (1995) Towards similarity measures for macromolecular bodies: medla test calculations for substituted benzene systems. J Comput Chem 16:1238–1249
    • (1995) J Comput Chem , vol.16 , pp. 1238-1249
    • Walker, P.D.1    Mezey, P.G.2
  • 36
    • 0002922422 scopus 로고    scopus 로고
    • Computational microscopy: Pictures of proteins
    • Mezey PG (1997) Computational microscopy: pictures of proteins. Pharmaceutical News 4:29–34
    • (1997) Pharmaceutical News , vol.4 , pp. 29-34
    • Mezey, P.G.1
  • 37
    • 0001032874 scopus 로고    scopus 로고
    • Quantum chemistry of macromolecular shape
    • Mezey PG (1997) Quantum chemistry of macromolecular shape. Int Rev Phys Chem 16:361–388
    • (1997) Int Rev Phys Chem , vol.16 , pp. 361-388
    • Mezey, P.G.1
  • 38
    • 0000586987 scopus 로고    scopus 로고
    • Combinatorial aspects of biomolecular shape analysis
    • Mezey PG (1999) Combinatorial aspects of biomolecular shape analysis. Bolyai Soc Math Stud 7:323–332
    • (1999) Bolyai Soc Math Stud , vol.7 , pp. 323-332
    • Mezey, P.G.1
  • 39
    • 5844335396 scopus 로고    scopus 로고
    • Functional groups in quantum chemistry
    • Mezey PG (1996) Functional groups in quantum chemistry. Adv Quantum Chem 27:163–222
    • (1996) Adv Quantum Chem , vol.27 , pp. 163-222
    • Mezey, P.G.1
  • 40
    • 33747845372 scopus 로고    scopus 로고
    • Local electron densities and functional groups in quantum chemsitry
    • Surjan PR, vol, Springer, Berlin, Heidelberg, New York, NY, pp
    • Mezey PG (1999) Local electron densities and functional groups in quantum chemsitry. In Surjan PR (ed) Correlation and localization.Topics in current chemistry, vol 203. Springer, Berlin, Heidelberg, New York, NY, pp 167–186
    • (1999) Correlation and Localization.Topics in Current Chemistry , vol.203 , pp. 167-186
    • Mezey, P.G.1
  • 41
    • 0007260310 scopus 로고    scopus 로고
    • Relations between computational and experimental engineering of molecules from molecular fragments
    • Mezey PG (1999) Relations between computational and experimental engineering of molecules from molecular fragments. Molec Eng 8:235–250
    • (1999) Molec Eng , vol.8 , pp. 235-250
    • Mezey, P.G.1
  • 42
    • 0012275462 scopus 로고    scopus 로고
    • A crystallographic structure refinement approach using Ab initio quality additive fuzzy density fragments
    • Mezey PG (1998) A crystallographic structure refinement approach using Ab initio quality additive fuzzy density fragments. Adv Molec Struct Res 4:115–149
    • (1998) Adv Molec Struct Res , vol.4 , pp. 115-149
    • Mezey, P.G.1
  • 43
    • 33745028587 scopus 로고    scopus 로고
    • Diagonalization-free initial guess to SCF calculations for large molecules
    • Szekeres ZS, Mezey PG, Surjan P (2006) Diagonalization-free initial guess to SCF calculations for large molecules. Chem Phys Lett 424:420–424
    • (2006) Chem Phys Lett , vol.424 , pp. 420-424
    • Szekeres, Z.S.1    Mezey, P.G.2    Surjan, P.3


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