메뉴 건너뛰기




Volumn 372, Issue 2011, 2014, Pages

Relativistic calculations of magnetic resonance parameters: Background and some recent developments

Author keywords

Density functional theory; EPR; NMR; Quantum theory; Relativistic effects

Indexed keywords

DENSITY FUNCTIONAL THEORY; ELECTRIC FIELDS; NUCLEAR MAGNETIC RESONANCE; PARAMAGNETIC RESONANCE; QUANTUM CHEMISTRY; QUANTUM THEORY; RESONANCE;

EID: 84894286692     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2012.0489     Document Type: Review
Times cited : (79)

References (226)
  • 1
    • 77955211825 scopus 로고    scopus 로고
    • Relativistic effects in atomic and molecular properties
    • Ilias M, Kello V, Urban M. 2010 Relativistic effects in atomic and molecular properties. Acta Phys. Slov. Rev. Tut. 60, 259-391.
    • (2010) Acta Phys. Slov. Rev. Tut , vol.60 , pp. 259-391
    • Ilias, M.1    Kello, V.2    Urban, M.3
  • 2
    • 84855829723 scopus 로고    scopus 로고
    • Recent advances in wave function-based methods of molecular-property calculations
    • (doi:10.1021/cr2002239)
    • Helgaker T, Coriani S, Jorgensen P, Kristensen K, Olsen J, Ruud, K. 2012 Recent advances in wave function-based methods of molecular-property calculations. Chem. Rev. 112, 543-631. (doi:10.1021/cr2002239)
    • (2012) Chem. Rev , vol.112 , pp. 543-631
    • Helgaker, T.1    Coriani, S.2    Jorgensen, P.3    Kristensen, K.4    Olsen, J.5    Ruud, K.6
  • 3
    • 80053977236 scopus 로고    scopus 로고
    • The physics behind chemistry and the periodic table
    • (doi:10.1021/cr200042e)
    • Pyykkö P. 2012 The physics behind chemistry and the periodic table. Chem. Rev. 112, 371-384. (doi:10.1021/cr200042e)
    • (2012) Chem. Rev , vol.112 , pp. 371-384
    • Pyykkö, P.1
  • 4
    • 84857058576 scopus 로고    scopus 로고
    • Solved and unsolved problems in relativistic quantum chemistry
    • (doi:10.1016/j.chemphys.2011.06.001)
    • Kutzelnigg W. 2012 Solved and unsolved problems in relativistic quantum chemistry. Chem. Phys. 395, 16-34. (doi:10.1016/j.chemphys.2011.06.001)
    • (2012) Chem. Phys , vol.395 , pp. 16-34
    • Kutzelnigg, W.1
  • 5
    • 82955240663 scopus 로고    scopus 로고
    • Relativistic Hamiltonians for chemistry: A primer
    • (doi:10.1002/cphc.201100682)
    • Saue T. 2011 Relativistic Hamiltonians for chemistry: a primer. ChemPhysChem 12, 3077-3094. (doi:10.1002/cphc.201100682)
    • (2011) ChemPhysChem , vol.12 , pp. 3077-3094
    • Saue, T.1
  • 6
    • 77954627199 scopus 로고    scopus 로고
    • Ideas of relativistic quantum chemistry
    • (doi:10.1080/00268971003781571)
    • LiuW. 2010 Ideas of relativistic quantum chemistry. Mol. Phys. 108, 1679-1706. (doi:10.1080/ 00268971003781571)
    • (2010) Mol. Phys , vol.108 , pp. 1679-1706
    • Liu, W.1
  • 7
    • 84857062304 scopus 로고    scopus 로고
    • Relativistic wave-function based electron correlation methods
    • (doi:10.1016/j.chemphys.2011.06.032)
    • Fleig T. 2012 Relativistic wave-function based electron correlation methods. Chem. Phys. 395, 2-15. (doi:10.1016/j.chemphys.2011.06.032)
    • (2012) Chem. Phys , vol.395 , pp. 2-15
    • Fleig, T.1
  • 8
    • 84855840055 scopus 로고    scopus 로고
    • Relativistic effects in chemistry: More common than you thought
    • (doi:10.1146/annurev-physchem-032511-143755)
    • Pyykkö P. 2012 Relativistic effects in chemistry: more common than you thought. Annu. Rev. Phys. Chem. 63, 45-64. (doi:10.1146/annurev-physchem- 032511-143755)
    • (2012) Annu. Rev. Phys. Chem , vol.63 , pp. 45-64
    • Pyykkö, P.1
  • 9
    • 84860212536 scopus 로고    scopus 로고
    • Perspective: Relativistic effects
    • (doi:10.1063/1.3702628)
    • Autschbach J. 2012 Perspective: relativistic effects. J. Chem. Phys. 136, 150902. (doi:10.1063/1.3702628)
    • (2012) J. Chem. Phys , vol.136 , pp. 150902
    • Autschbach, J.1
  • 10
    • 79960366272 scopus 로고    scopus 로고
    • Relativistic density functional theory
    • (eds M Barysz, Y Ishikawa). Challenges and Advances in Computational Chemistry and Physics, Dordrecht, The Netherlands: Springer
    • van Wüllen C. 2010 Relativistic density functional theory. In Relativistic methods for chemists (eds M Barysz, Y Ishikawa). Challenges and Advances in Computational Chemistry and Physics, no. 10, pp. 191-214. Dordrecht, The Netherlands: Springer.
    • (2010) Relativistic Methods for Chemists , Issue.10 , pp. 191-214
    • Van Wüllen, C.1
  • 12
    • 0003675975 scopus 로고    scopus 로고
    • New York, NY: John Wiley & Sons, 13. Balasubramanian K. 1997 Relativistic effects in chemistry. Part B: Applications. New York, NY: John Wiley & Sons
    • Balasubramanian K. 1997 Relativistic effects in chemistry. Part A: Theory and techniques. New York, NY: John Wiley & Sons, 13. Balasubramanian K. 1997 Relativistic effects in chemistry. Part B: Applications. New York, NY: John Wiley & Sons.
    • (1997) Relativistic Effects in Chemistry. Part A: Theory and Techniques
    • Balasubramanian, K.1
  • 16
    • 77956744340 scopus 로고
    • Relativistic quantum chemistry
    • (doi:10.1016/S0065-3276(08)60241-5)
    • Pyykkö P. 1978 Relativistic quantum chemistry. Adv. Quantum Chem. 11, 353-409. (doi:10.1016/S0065-3276(08)60241-5)
    • (1978) Adv. Quantum Chem , vol.11 , pp. 353-409
    • Pyykkö, P.1
  • 17
    • 0343346890 scopus 로고
    • Relativity and the periodic system of elements
    • (doi:10.1021/ar50140a002)
    • Pyykkö P, Desclaux JP. 1979 Relativity and the periodic system of elements. Acc. Chem. Res. 12, 276-281. (doi:10.1021/ar50140a002)
    • (1979) Acc. Chem. Res , vol.12 , pp. 276-281
    • Pyykkö, P.1    Desclaux, J.P.2
  • 18
    • 33845560515 scopus 로고
    • Relativistic effects on chemical properties
    • (doi:10.1021/ar50140a001)
    • Pitzer KS. 1979 Relativistic effects on chemical properties. Acc. Chem. Res. 12, 271-276. (doi:10.1021/ar50140a001)
    • (1979) Acc. Chem. Res , vol.12 , pp. 271-276
    • Pitzer, K.S.1
  • 19
    • 0022227118 scopus 로고
    • Relativistic effects in chemical systems
    • (doi:10.1146/annurev.pc.36.100185.002203)
    • Christiansen PA, Ermler WC, Pitzer KS. 1985 Relativistic effects in chemical systems. Annu. Rev. Phys. Chem. 36, 407-432. (doi:10.1146/annurev.pc. 36.100185.002203)
    • (1985) Annu. Rev. Phys. Chem , vol.36 , pp. 407-432
    • Christiansen, P.A.1    Ermler, W.C.2    Pitzer, K.S.3
  • 20
    • 0038410757 scopus 로고
    • Methods of relativistic quantum chemistry
    • (ed. BO Roos). Lecture Notes in Chemistry, Berlin, Germany: Springer
    • Sadlej AJ. 1994 Methods of relativistic quantum chemistry. In Lecture notes in quantum chemistry II (ed. BO Roos). Lecture Notes in Chemistry, vol. 64, pp. 203-230. Berlin, Germany: Springer.
    • (1994) Lecture Notes in Quantum Chemistry II , vol.64 , pp. 203-230
    • Sadlej, A.J.1
  • 21
    • 0002048679 scopus 로고    scopus 로고
    • Relativistic theory and applications
    • (ed. P von Ragué Schleyer), Chichester, UK: JohnWiley & Sons
    • Hess BA. 1998 Relativistic theory and applications. In Encyclopedia of computational chemistry (ed. P von Ragué Schleyer), pp. 2499-2508. Chichester, UK: JohnWiley & Sons.
    • (1998) Encyclopedia of Computational Chemistry , pp. 2499-2508
    • Hess, B.A.1
  • 22
    • 0038218089 scopus 로고
    • Relativistic effects in structural chemistry
    • (doi:10.1021/cr00085a006)
    • Pyykkö P. 1988 Relativistic effects in structural chemistry. Chem. Rev. 88, 563-594. (doi:10.1021/cr00085a006)
    • (1988) Chem. Rev , vol.88 , pp. 563-594
    • Pyykkö, P.1
  • 23
    • 0000000159 scopus 로고
    • Fundamentals of relativistic effects in chemistry
    • (ed. ZB Maksic), Berlin, Germany: Springer
    • Schwarz WHE. 1990 Fundamentals of relativistic effects in chemistry. In The concept of the chemical bond (ed. ZB Maksic), vol. 2, pp. 559-643. Berlin, Germany: Springer.
    • (1990) The Concept of the Chemical Bond , vol.2 , pp. 559-643
    • Schwarz, W.H.E.1
  • 24
    • 0042368844 scopus 로고    scopus 로고
    • Four-component ab initio methods for electronic structure calculations of atoms, molecules and solids
    • (ed. BA Hess), Chichester, UK: JohnWiley & Sons
    • Reiher M, Hinze J. 2003 Four-component ab initio methods for electronic structure calculations of atoms, molecules and solids. In Relativistic effects in heavy-element chemistry and physics (ed. BA Hess), pp. 61-88. Chichester, UK: JohnWiley & Sons.
    • (2003) Relativistic Effects in Heavy-element Chemistry and Physics , pp. 61-88
    • Reiher, M.1    Hinze, J.2
  • 25
    • 85073168071 scopus 로고    scopus 로고
    • Relativistic effects on magnetic resonance parameters and other properties of inorganic molecules and metal complexes
    • (eds M Barysz, Y Ishikawa). Challenges and Advances in Computational Chemistry and Physics, ch. 12, Dordrecht, The Netherlands: Springer
    • Autschbach J. 2010 Relativistic effects on magnetic resonance parameters and other properties of inorganic molecules and metal complexes. In Relativistic methods for chemists (eds M Barysz, Y Ishikawa). Challenges and Advances in Computational Chemistry and Physics, vol. 10, ch. 12, pp. 521-598. Dordrecht, The Netherlands: Springer.
    • (2010) Relativistic Methods for Chemists , vol.10 , pp. 521-598
    • Autschbach, J.1
  • 26
    • 67650487457 scopus 로고    scopus 로고
    • Relativistic computations of NMR parameters from first principles: Theory and applications
    • (doi:10.1016/ S0066-4103(09)06701-5)
    • Autschbach J, Zheng S. 2009 Relativistic computations of NMR parameters from first principles: theory and applications. Annu. Rep. NMR Spectrosc. 67, 1-95. (doi:10.1016/ S0066-4103(09)06701-5)
    • (2009) Annu. Rep. NMR Spectrosc , vol.67 , pp. 1-95
    • Autschbach, J.1    Zheng, S.2
  • 27
    • 0001629861 scopus 로고
    • Quantum mechanics of many-electron systems
    • (doi:10.1098/rspa.1929.0094)
    • Dirac PAM. 1929 Quantum mechanics of many-electron systems. Proc. R. Soc. Lond. A 123, 714-733. (doi:10.1098/rspa.1929.0094)
    • (1929) Proc. R. Soc. Lond. A , vol.123 , pp. 714-733
    • Dirac, P.A.M.1
  • 28
    • 9344219514 scopus 로고
    • The origin of relativistic effects of atomic orbitals
    • (doi:10.1088/09534075/22/10/008)
    • Schwarz WHE, van Wezenbeek EM, Baerends EJ, Snijders JG. 1989 The origin of relativistic effects of atomic orbitals. J. Phys. B 22, 1515-1530. (doi:10.1088/09534075/22/ 10/008)
    • (1989) J. Phys. B , vol.22 , pp. 1515-1530
    • Schwarz, W.H.E.1    Van Wezenbeek, E.M.2    Baerends, E.J.3    Snijders, J.G.4
  • 29
    • 0003714394 scopus 로고
    • Relativistic theory of atoms and molecules
    • Berlin, Germany: Springer
    • Pyykkö P. 1993 Relativistic theory of atoms and molecules. Lecture Notes in Chemistry, vol. 60. Berlin, Germany: Springer.
    • (1993) Lecture Notes in Chemistry , vol.60
    • Pyykkö, P.1
  • 31
    • 0000584523 scopus 로고    scopus 로고
    • Ab initio methods for the calculation of NMR shielding and indirect spin-spin coupling constants
    • (doi:10.1021/ cr960017t)
    • Helgaker T, Jaszúnski M, Ruud K. 1999 Ab initio methods for the calculation of NMR shielding and indirect spin-spin coupling constants. Chem. Rev. 99, 293-352. (doi:10.1021/ cr960017t)
    • (1999) Chem. Rev , vol.99 , pp. 293-352
    • Helgaker, T.1    Jaszúnski, M.2    Ruud, K.3
  • 32
    • 0038331971 scopus 로고    scopus 로고
    • Double perturbation theory: A powerful tool in computational coordination chemistry
    • (doi:10.1016/S0010-8545(02) 00287-4)
    • Autschbach J, Ziegler T. 2003 Double perturbation theory: a powerful tool in computational coordination chemistry. Coord. Chem. Rev. 238/239, 83-126. (doi:10.1016/S0010-8545(02) 00287-4)
    • (2003) Coord. Chem. Rev , vol.238-239 , pp. 83-126
    • Autschbach, J.1    Ziegler, T.2
  • 34
    • 77955731500 scopus 로고    scopus 로고
    • Analysis of electric field gradient tensors at quadrupolar nuclei in common structural motifs
    • (doi:10.1002/cmr.a.20155)
    • Autschbach J, Zheng S, Schurko RW. 2010 Analysis of electric field gradient tensors at quadrupolar nuclei in common structural motifs. Concepts Magn. Reson. A 36A, 84-126. (doi:10.1002/cmr.a.20155)
    • (2010) Concepts Magn. Reson. A , vol.36 A , pp. 84-126
    • Autschbach, J.1    Zheng, S.2    Schurko, R.W.3
  • 37
    • 0034228753 scopus 로고    scopus 로고
    • Nuclear spin-spin coupling constants from regular approximate relativistic density functional calculations. I. Formalism and scalar relativistic results for heavy metal compounds
    • (doi:10.1063/1.481874)
    • Autschbach J, Ziegler T. 2000 Nuclear spin-spin coupling constants from regular approximate relativistic density functional calculations. I. Formalism and scalar relativistic results for heavy metal compounds. J. Chem. Phys. 113, 936-947. (doi:10.1063/1.481874)
    • (2000) J. Chem. Phys , vol.113 , pp. 936-947
    • Autschbach, J.1    Ziegler, T.2
  • 38
    • 84987067842 scopus 로고
    • Hydrogen-like relativistic corrections for electric and magnetic hyperfine integrals
    • (doi:10.1002/qua.560070415)
    • Pyykkö P, Pajanne E, Inokuti M. 1973 Hydrogen-like relativistic corrections for electric and magnetic hyperfine integrals. Int. J. Quantum Chem. 7, 785-806. (doi:10.1002/qua.560070415)
    • (1973) Int. J. Quantum Chem , vol.7 , pp. 785-806
    • Pyykkö, P.1    Pajanne, E.2    Inokuti, M.3
  • 39
    • 3142685337 scopus 로고    scopus 로고
    • Calculation of indirect nuclear spin-spin coupling constants within the regular approximation for relativistic effects
    • (doi:10.1063/1.1752876)
    • Filatov M, Cremer D. 2004 Calculation of indirect nuclear spin-spin coupling constants within the regular approximation for relativistic effects. J. Chem. Phys. 120, 11 407-11 422. (doi:10.1063/1.1752876)
    • (2004) J. Chem. Phys , vol.120 , pp. 11407-11422
    • Filatov, M.1    Cremer, D.2
  • 40
    • 0034341602 scopus 로고    scopus 로고
    • CODATA recommended values of the fundamental physical constants: 1998
    • (doi:10.1103/RevModPhys.72.351)
    • Mohr PJ, Taylor BN. 2000 CODATA recommended values of the fundamental physical constants: 1998. Rev. Mod. Phys. 72, 351-495. (doi:10.1103/RevModPhys. 72.351)
    • (2000) Rev. Mod. Phys , vol.72 , pp. 351-495
    • Mohr, P.J.1    Taylor, B.N.2
  • 41
    • 0008720980 scopus 로고
    • The two problems connected with Dirac-Breit-Roothaan calculations
    • (doi:10.1016/0009-2614(82)83468-4)
    • Schwarz WHE, Wechsel-Trakowski E. 1982 The two problems connected with Dirac-Breit-Roothaan calculations. Chem. Phys. Lett. 85, 94-97. (doi:10.1016/0009-2614(82)83468-4)
    • (1982) Chem. Phys. Lett , vol.85 , pp. 94-97
    • Schwarz, W.H.E.1    Wechsel-Trakowski, E.2
  • 42
    • 0000291836 scopus 로고
    • Minimax principle for the Dirac equation
    • (doi:10.1103/PhysRevLett.57.1091)
    • Talman JD. 1986 Minimax principle for the Dirac equation. Phys. Rev. Lett. 57, 1091-1094. (doi:10.1103/PhysRevLett.57.1091)
    • (1986) Phys. Rev. Lett , vol.57 , pp. 1091-1094
    • Talman, J.D.1
  • 43
    • 0003363249 scopus 로고
    • Kinetic balance: A partial solution to the problem of variational safety in Dirac calculations
    • (doi:10.1063/1.447865)
    • Stanton RE, Havriliak S. 1984 Kinetic balance: a partial solution to the problem of variational safety in Dirac calculations. J. Chem. Phys. 81, 1910-1918. (doi:10.1063/1.447865)
    • (1984) J. Chem. Phys , vol.81 , pp. 1910-1918
    • Stanton, R.E.1    Havriliak, S.2
  • 44
    • 79955941132 scopus 로고    scopus 로고
    • Comparison of restricted, unrestricted, inverse, and dual kinetic balances for four-component relativistic calculations
    • (doi:10.1007/s00214-010-0876-6)
    • Sun Q, Liu W, Kutzelnigg W. 2011 Comparison of restricted, unrestricted, inverse, and dual kinetic balances for four-component relativistic calculations. Theor. Chem. Acc. 129, 423-436. (doi:10.1007/s00214-010-0876-6)
    • (2011) Theor. Chem. Acc , vol.129 , pp. 423-436
    • Sun, Q.1    Liu, W.2    Kutzelnigg, W.3
  • 45
    • 36149017177 scopus 로고
    • On the Dirac theory of spin 1/2 particles and its nonrelativistic limit
    • (doi:10.1103/PhysRev.78.29)
    • Foldy LL, Wouthuysen SA. 1950 On the Dirac theory of spin 1/2 particles and its nonrelativistic limit. Phys. Rev. 78, 29. (doi:10.1103/PhysRev.78.29)
    • (1950) Phys. Rev , vol.78 , pp. 29
    • Foldy, L.L.1    Wouthuysen, S.A.2
  • 46
    • 34547149847 scopus 로고
    • Diagonalisation of the Dirac Hamiltonian as a basis for a relativistic many-body procedure
    • (doi:10.1088/0022-3700/19/18/011)
    • Heully JL, Lindgren I, Lindroth E, Lundquist S, Mårtenson-Pendrill AM. 1986 Diagonalisation of the Dirac Hamiltonian as a basis for a relativistic many-body procedure. J. Phys. B 19, 2799-2815. (doi:10.1088/0022-3700/19/18/011)
    • (1986) J. Phys. B , vol.19 , pp. 2799-2815
    • Heully, J.L.1    Lindgren, I.2    Lindroth, E.3    Lundquist, S.4    Mårtenson-Pendrill, A.M.5
  • 47
    • 0002549168 scopus 로고
    • Perturbation theory of relativistic corrections 2. Analysis and classification of known and other possible methods
    • (doi:10.1007/ BF01436910)
    • Kutzelnigg W. 1990 Perturbation theory of relativistic corrections 2. Analysis and classification of known and other possible methods. Z. Phys. D 15, 27-50. (doi:10.1007/ BF01436910)
    • (1990) Z. Phys. D , vol.15 , pp. 27-50
    • Kutzelnigg, W.1
  • 48
    • 19944387310 scopus 로고    scopus 로고
    • Theoretical study of PbO and the PbO anion
    • (doi:10.1016/j.cplett.2005.04.027)
    • Ilias M, Jensen HJA, Kello V, Roos BO, Urban M. 2005 Theoretical study of PbO and the PbO anion. Chem. Phys. Lett. 408, 210-215. (doi:10.1016/j.cplett. 2005.04.027)
    • (2005) Chem. Phys. Lett , vol.408 , pp. 210-215
    • Ilias, M.1    Jensen, H.J.A.2    Kello, V.3    Roos, B.O.4    Urban, M.5
  • 49
    • 29744436245 scopus 로고    scopus 로고
    • Quasirelativistic theory equivalent to fully relativistic theory
    • (doi:10.1063/1.2137315)
    • Kutzelnigg W, Liu W. 2005 Quasirelativistic theory equivalent to fully relativistic theory. J. Chem. Phys. 123, 241102. (doi:10.1063/1.2137315)
    • (2005) J. Chem. Phys , vol.123 , pp. 241102
    • Kutzelnigg, W.1    Liu, W.2
  • 50
    • 34047157778 scopus 로고    scopus 로고
    • Quasirelativistic theory. II. Theory at matrix level
    • (doi:10.1063/1.2710258)
    • Liu W, Kutzelnigg W. 2007 Quasirelativistic theory. II. Theory at matrix level. J. Chem. Phys. 126, 114107. (doi:10.1063/1.2710258)
    • (2007) J. Chem. Phys , vol.126 , pp. 114107
    • Liu, W.1    Kutzelnigg, W.2
  • 51
    • 67651151455 scopus 로고    scopus 로고
    • Exact two-component Hamiltonians revisited
    • (doi:10.1063/1.3159445)
    • LiuW, Peng D. 2009 Exact two-component Hamiltonians revisited. J. Chem. Phys. 131, 031104. (doi:10.1063/1.3159445)
    • (2009) J. Chem. Phys , vol.131 , pp. 031104
    • Liu, W.1    Peng, D.2
  • 52
    • 33847008274 scopus 로고    scopus 로고
    • An infinite-order two-component relativistic Hamiltonian by a simple one-step transformation
    • (doi:10.1063/1.2436882)
    • Ilias M, Saue T. 2007 An infinite-order two-component relativistic Hamiltonian by a simple one-step transformation. J. Chem. Phys. 126, 064102. (doi:10.1063/1.2436882)
    • (2007) J. Chem. Phys , vol.126 , pp. 064102
    • Ilias, M.1    Saue, T.2
  • 53
    • 84855385550 scopus 로고    scopus 로고
    • Exact decoupling of the relativistic Fock operator
    • (doi:10.1007/s00214-011-1081-y)
    • Peng D, Reiher M. 2012 Exact decoupling of the relativistic Fock operator. Theor. Chem. Acc. 131, 1081. (doi:10.1007/s00214-011-1081-y)
    • (2012) Theor. Chem. Acc , vol.131 , pp. 1081
    • Peng, D.1    Reiher, M.2
  • 54
    • 0035955520 scopus 로고    scopus 로고
    • Two-component methods of relativistic quantum chemistry: From the Douglas-Kroll approximation to the exact two-component formalism
    • (doi:10.1016/S0166-1280(01)00542-5)
    • Barysz M, Sadlej AJ. 2001 Two-component methods of relativistic quantum chemistry: from the Douglas-Kroll approximation to the exact two-component formalism. J. Mol. Struct. (THEOCHEM) 573, 181-200. (doi:10.1016/S0166-1280(01) 00542-5)
    • (2001) J. Mol. Struct. (THEOCHEM) , vol.573 , pp. 181-200
    • Barysz, M.1    Sadlej, A.J.2
  • 55
    • 0037084374 scopus 로고    scopus 로고
    • Infinite-order two-component theory for relativistic quantum chemistry
    • (doi:10.1063/1.1436462)
    • Barysz M, Sadlej AJ. 2002 Infinite-order two-component theory for relativistic quantum chemistry. J. Chem. Phys. 116, 2696-2704. (doi:10.1063/1.1436462)
    • (2002) J. Chem. Phys , vol.116 , pp. 2696-2704
    • Barysz, M.1    Sadlej, A.J.2
  • 56
    • 7544243332 scopus 로고    scopus 로고
    • Two-component relativistic methods for the heaviest elements
    • (doi:10.1063/1.1792131)
    • Kedziera D, Barysz M. 2004 Two-component relativistic methods for the heaviest elements. J. Chem. Phys. 121, 6719-6727. (doi:10.1063/1.1792131)
    • (2004) J. Chem. Phys , vol.121 , pp. 6719-6727
    • Kedziera, D.1    Barysz, M.2
  • 57
    • 34548498386 scopus 로고    scopus 로고
    • Non-iterative approach to the infinite-order two-component (IOTC) relativistic theory and the non-symmetric algebraic Riccati equation
    • (doi:10.1016/j.cplett.2007.08.006)
    • Kedziera D, Barysz M. 2007 Non-iterative approach to the infinite-order two-component (IOTC) relativistic theory and the non-symmetric algebraic Riccati equation. Chem. Phys. Lett. 446, 176-181. (doi:10.1016/j.cplett.2007.08.006)
    • (2007) Chem. Phys. Lett , vol.446 , pp. 176-181
    • Kedziera, D.1    Barysz, M.2
  • 58
    • 0000098371 scopus 로고    scopus 로고
    • Interfacing relativistic and nonrelativistic methods. I. Normalized elimination of the small component in the modified Dirac equation
    • (doi:10.1063/1.473860)
    • Dyall KG. 1997 Interfacing relativistic and nonrelativistic methods. I. Normalized elimination of the small component in the modified Dirac equation. J. Chem. Phys. 106, 9618-9626. (doi:10.1063/1.473860)
    • (1997) J. Chem. Phys , vol.106 , pp. 9618-9626
    • Dyall, K.G.1
  • 59
    • 0013030917 scopus 로고    scopus 로고
    • Interfacing relativistic and nonrelativistic methods. II. Investigation of a loworder approximation
    • (doi:10.1063/1.477026)
    • Dyall KG. 1998 Interfacing relativistic and nonrelativistic methods. II. Investigation of a loworder approximation. J. Chem. Phys. 109, 4201-4208. (doi:10.1063/1.477026)
    • (1998) J. Chem. Phys , vol.109 , pp. 4201-4208
    • Dyall, K.G.1
  • 60
    • 0000818929 scopus 로고    scopus 로고
    • Interfacing relativistic and nonrelativistic methods. III. Atomic 4-spinor expansions and integral approximations
    • (doi:10.1063/1.480353)
    • Dyall KG, Enevoldsen T. 1999 Interfacing relativistic and nonrelativistic methods. III. Atomic 4-spinor expansions and integral approximations. J. Chem. Phys. 111, 10 000-10 007. (doi:10.1063/1.480353)
    • (1999) J. Chem. Phys , vol.111 , pp. 10000-10007
    • Dyall, K.G.1    Enevoldsen, T.2
  • 61
    • 0035935956 scopus 로고    scopus 로고
    • Interfacing relativistic and nonrelativisticmethods. IV. One- and two-electron scalar approximations
    • (doi:10.1063/1.1413512)
    • Dyall KG. 2001 Interfacing relativistic and nonrelativisticmethods. IV. One- and two-electron scalar approximations. J. Chem. Phys. 115, 9136-9143. (doi:10.1063/1.1413512)
    • (2001) J. Chem. Phys , vol.115 , pp. 9136-9143
    • Dyall, K.G.1
  • 62
    • 0036605711 scopus 로고    scopus 로고
    • A systematic sequence of relativistic approximations
    • (doi:10.1002/jcc.10048)
    • Dyall KG. 2002 A systematic sequence of relativistic approximations. J. Comput. Chem. 23, 786-793. (doi:10.1002/jcc.10048)
    • (2002) J. Comput. Chem , vol.23 , pp. 786-793
    • Dyall, K.G.1
  • 63
    • 0346421264 scopus 로고    scopus 로고
    • Representation of the exact relativistic electronic Hamiltonian within the regular approximation
    • (doi:10.1063/1.1623473)
    • Filatov M, Cremer D. 2003 Representation of the exact relativistic electronic Hamiltonian within the regular approximation. J. Chem. Phys. 119, 11 526-11 540. (doi:10.1063/1. 1623473)
    • (2003) J. Chem. Phys , vol.119 , pp. 11526-11540
    • Filatov, M.1    Cremer, D.2
  • 64
    • 22944471726 scopus 로고    scopus 로고
    • Connection between the regular approximation and the normalized elimination of the small component in relativistic quantum chemistry
    • (doi:10.1063/1.1844298)
    • Filatov M, Cremer D. 2005 Connection between the regular approximation and the normalized elimination of the small component in relativistic quantum chemistry. J. Chem. Phys. 122, 064104. (doi:10.1063/1.1844298)
    • (2005) J. Chem. Phys , vol.122 , pp. 064104
    • Filatov, M.1    Cremer, D.2
  • 65
    • 81855166853 scopus 로고    scopus 로고
    • An improved algorithm for the normalized elimination of the small-component method
    • (doi:10.1007/s00214-011-1007-8)
    • Zou W, Filatov M, Cremer D. 2011 An improved algorithm for the normalized elimination of the small-component method. Theor. Chem. Acc. 130, 633-644. (doi:10.1007/s00214-011-1007-8)
    • (2011) Theor. Chem. Acc , vol.130 , pp. 633-644
    • Zou, W.1    Filatov, M.2    Cremer, D.3
  • 66
    • 84869046926 scopus 로고    scopus 로고
    • Two-component relativistic calculations of electricfield gradients using exact decoupling methods: Spin-orbit and picture-change effects
    • (doi:10.1021/ct300623j)
    • Autschbach J, Peng D, Reiher M. 2012 Two-component relativistic calculations of electricfield gradients using exact decoupling methods: spin-orbit and picture-change effects. J. Chem. Theory Comput. 8, 4239-4248. (doi:10.1021/ct300623j)
    • (2012) J. Chem. Theory Comput , vol.8 , pp. 4239-4248
    • Autschbach, J.1    Peng, D.2    Reiher, M.3
  • 67
    • 84990631940 scopus 로고
    • Basis set expansion of the Dirac operator without variational collapse
    • (doi:10.1002/qua.560250112)
    • Kutzelnigg W. 1984 Basis set expansion of the Dirac operator without variational collapse. Int. J. Quantum Chem. 25, 107-129. (doi:10.1002/qua. 560250112)
    • (1984) Int. J. Quantum Chem , vol.25 , pp. 107-129
    • Kutzelnigg, W.1
  • 68
    • 0000525791 scopus 로고
    • Matrix representation of operator products
    • (doi:10.1088/0022-3700/17/4/006)
    • Dyall KG, Grant IP, Wilson S. 1984 Matrix representation of operator products. J. Phys. B 17, 493-503. (doi:10.1088/0022-3700/17/4/006)
    • (1984) J. Phys. B , vol.17 , pp. 493-503
    • Dyall, K.G.1    Grant, I.P.2    Wilson, S.3
  • 69
    • 36449000033 scopus 로고
    • An exact separation of the spin-free and spin-dependent terms of the Dirac-Coulomb-Breit Hamiltonian
    • (doi:10.1063/1.466508)
    • Dyall KG. 1994 An exact separation of the spin-free and spin-dependent terms of the Dirac-Coulomb-Breit Hamiltonian. J. Chem. Phys. 100, 2118-2127. (doi:10.1063/1.466508)
    • (1994) J. Chem. Phys , vol.100 , pp. 2118-2127
    • Dyall, K.G.1
  • 70
    • 0031321343 scopus 로고    scopus 로고
    • Relativistic one-electron Hamiltonians 'for electrons only' and the variational treatment of the Dirac equation
    • (doi:10.1016/S0301-0104(97)00240-1)
    • Kutzelnigg W. 1997 Relativistic one-electron Hamiltonians 'for electrons only' and the variational treatment of the Dirac equation. Chem. Phys. 225, 203-222. (doi:10.1016/S0301-0104(97)00240-1)
    • (1997) Chem. Phys , vol.225 , pp. 203-222
    • Kutzelnigg, W.1
  • 71
    • 84863522317 scopus 로고    scopus 로고
    • Local relativistic exact decoupling
    • (doi:10.1063/1.4729788)
    • Peng D, Reiher M. 2012 Local relativistic exact decoupling. J. Chem. Phys. 136, 244108. (doi:10.1063/1.4729788)
    • (2012) J. Chem. Phys , vol.136 , pp. 244108
    • Peng, D.1    Reiher, M.2
  • 72
    • 84867560415 scopus 로고    scopus 로고
    • Local unitary transformation method for large-scale two-component relativistic calculations. II. Extension to two-electron Coulomb interaction
    • (doi:10.1063/1.4757263)
    • Seino J, Nakai H. 2012 Local unitary transformation method for large-scale two-component relativistic calculations. II. Extension to two-electron Coulomb interaction. J. Chem. Phys. 137, 144101. (doi:10.1063/1.4757263)
    • (2012) J. Chem. Phys , vol.137 , pp. 144101
    • Seino, J.1    Nakai, H.2
  • 73
    • 0000937208 scopus 로고
    • Relativistic atomic orbital contractions and expansions: Magnitudes and explanations
    • (doi:10.1088/0953-4075/23/19/010)
    • Baerends EJ, Schwarz WHE, Schwerdtfeger P, Snijders JG. 1990 Relativistic atomic orbital contractions and expansions: magnitudes and explanations. J. Phys. B 23, 3225-3240. (doi:10.1088/0953-4075/23/19/010)
    • (1990) J. Phys. B , vol.23 , pp. 3225-3240
    • Baerends, E.J.1    Schwarz, W.H.E.2    Schwerdtfeger, P.3    Snijders, J.G.4
  • 74
    • 0034179020 scopus 로고    scopus 로고
    • Relativistic electron densities in the four-component Dirac representation and in the two-component picture
    • (doi:10.1007/s002149900108)
    • Autschbach J, Schwarz WHE. 2000 Relativistic electron densities in the four-component Dirac representation and in the two-component picture. Theor. Chem. Acc. 104, 82-88. (doi:10.1007/s002149900108)
    • (2000) Theor. Chem. Acc , vol.104 , pp. 82-88
    • Autschbach, J.1    Schwarz, W.H.E.2
  • 75
    • 54049124400 scopus 로고    scopus 로고
    • The Douglas-Kroll-Hess electron density at an atomic nucleus
    • (doi:10.1016/j.cplett.2008.09.068)
    • Mastalerz R, Lindh R, Reiher M. 2008 The Douglas-Kroll-Hess electron density at an atomic nucleus. Chem. Phys. Lett. 465, 157-164. (doi:10.1016/j.cplett.2008.09.068)
    • (2008) Chem. Phys. Lett , vol.465 , pp. 157-164
    • Mastalerz, R.1    Lindh, R.2    Reiher, M.3
  • 76
    • 0000364390 scopus 로고    scopus 로고
    • Picture change and calculations of expectation values in approximate relativistic theories
    • doi:10.1002 (SICI) 1097-461X (1998)68:3<159::AID-QUA3>3.0.CO;2-U)
    • Kellö, V, Sadlej AJ. 1998 Picture change and calculations of expectation values in approximate relativistic theories. Int. J. Quantum Chem. 68, 159-174. (doi:10.1002/(SICI)1097-461X(1998)68:3<159::AID-QUA3>3.0. CO;2-U)
    • (1998) Int. J. Quantum Chem , vol.68 , pp. 159-174
    • Kellö, V.1    Sadlej, A.J.2
  • 77
    • 0000894716 scopus 로고    scopus 로고
    • Molecular relativistic calculations of the electric field gradients at the nuclei in the hydrogen halides
    • (doi:10.1063/1.477637)
    • Visscher L, Enevoldsen T, Saue T, Oddershede J. 1998 Molecular relativistic calculations of the electric field gradients at the nuclei in the hydrogen halides. J. Chem. Phys. 109, 9677-9684. (doi:10.1063/1.477637)
    • (1998) J. Chem. Phys , vol.109 , pp. 9677-9684
    • Visscher, L.1    Enevoldsen, T.2    Saue, T.3    Oddershede, J.4
  • 78
    • 0001347181 scopus 로고    scopus 로고
    • Accurate electric field gradients for the coinage metal chlorides using the PCNQM method
    • doi:10.1002/ (SICI) 1097-461X (2000)76:3<371::AID-QUA6>3.0.CO;2-X)
    • Pernpointner M, Schwerdtfeger P, Hess BA. 2000 Accurate electric field gradients for the coinage metal chlorides using the PCNQM method. Int. J. Quantum Chem. 76, 371-384. (doi:10.1002/(SICI)1097-461X(2000)76:3<371::AID- QUA6>3.0.CO;2-X)
    • (2000) Int. J. Quantum Chem , vol.76 , pp. 371-384
    • Pernpointner, M.1    Schwerdtfeger, P.2    Hess, B.A.3
  • 79
    • 0037199555 scopus 로고    scopus 로고
    • Relativistic calculations of electric field gradients using the Douglas-Kroll method
    • (doi:10.1016/S0009-2614(02)00956-9)
    • Malkin I, Malkina OL, Malkin VG. 2002 Relativistic calculations of electric field gradients using the Douglas-Kroll method. Chem. Phys. Lett. 361, 231-236. (doi:10.1016/S0009-2614(02)00956-9)
    • (2002) Chem. Phys. Lett , vol.361 , pp. 231-236
    • Malkin, I.1    Malkina, O.L.2    Malkin, V.G.3
  • 80
    • 34548128304 scopus 로고    scopus 로고
    • Analytic high-order Douglas-Kroll-Hess electric field gradients
    • (doi:10.1063/1.2761880)
    • Mastalerz R, Barone G, Lindh R, Reiher M. 2007 Analytic high-order Douglas-Kroll-Hess electric field gradients. J. Chem. Phys. 127, 074105. (doi:10.1063/1.2761880)
    • (2007) J. Chem. Phys , vol.127 , pp. 074105
    • Mastalerz, R.1    Barone, G.2    Lindh, R.3    Reiher, M.4
  • 81
    • 80052396803 scopus 로고    scopus 로고
    • Analytic energy gradients for the spin-free exact two-component theory using an exact block diagonalization for the one-electron Dirac Hamiltonian
    • (doi:10.1063/1.3624397)
    • Cheng L, Gauss J. 2011 Analytic energy gradients for the spin-free exact two-component theory using an exact block diagonalization for the one-electron Dirac Hamiltonian. J. Chem. Phys. 135, 084114. (doi:10.1063/1.3624397)
    • (2011) J. Chem. Phys , vol.135 , pp. 084114
    • Cheng, L.1    Gauss, J.2
  • 82
    • 0000150331 scopus 로고
    • Approximate solution of the Dirac equation using the Foldy-Wouthuysen hamiltonian
    • (doi:10.1080/00268978000102941)
    • Morrison JD, Moss RE. 1980 Approximate solution of the Dirac equation using the Foldy-Wouthuysen hamiltonian. Mol. Phys. 41, 491-507. (doi:10.1080/00268978000102941)
    • (1980) Mol. Phys , vol.41 , pp. 491-507
    • Morrison, J.D.1    Moss, R.E.2
  • 83
    • 0000434185 scopus 로고
    • Approximate solution of the Dirac equation using the partitioning technique
    • (doi:10.1080/00268977900102681)
    • Moss RE, Trivedi HP. 1979 Approximate solution of the Dirac equation using the partitioning technique. Mol. Phys. 38, 1611-1619. (doi:10.1080/ 00268977900102681)
    • (1979) Mol. Phys , vol.38 , pp. 1611-1619
    • Moss, R.E.1    Trivedi, H.P.2
  • 84
    • 5444273348 scopus 로고    scopus 로고
    • Perturbational and ECP calculation of relativistic effects in NMR shielding and spin-spin coupling
    • (eds M Kaupp, M Bühl, VG Malkin), Weinheim, Germany: Wiley-VCH
    • Vaara J, Manninen P, Lantto P. 2004 Perturbational and ECP calculation of relativistic effects in NMR shielding and spin-spin coupling. In Calculation of NMR and EPR parameters. Theory and applications (eds M Kaupp, M Bühl, VG Malkin), pp. 209-226. Weinheim, Germany: Wiley-VCH.
    • (2004) Calculation of NMR and EPR Parameters. Theory and Applications , pp. 209-226
    • Vaara, J.1    Manninen, P.2    Lantto, P.3
  • 85
    • 18644361868 scopus 로고    scopus 로고
    • Leading-order relativistic effects on nuclear magnetic resonance shielding tensors
    • (doi:10.1063/1.1861872)
    • Manninen P, Ruud K, Lantto P, Vaara J. 2005 Leading-order relativistic effects on nuclear magnetic resonance shielding tensors. J. Chem. Phys. 122, 114107. (doi:10.1063/1.1861872)
    • (2005) J. Chem. Phys , vol.122 , pp. 114107
    • Manninen, P.1    Ruud, K.2    Lantto, P.3    Vaara, J.4
  • 86
    • 33750741209 scopus 로고    scopus 로고
    • (doi:10.1063/1.2181967)
    • Erratum: J. Chem. Phys. 124 (2006), 149901. (doi:10.1063/1.2181967)
    • (2006) J. Chem. Phys , vol.124 , pp. 149901
  • 87
    • 82355169297 scopus 로고    scopus 로고
    • Relativistic effects on group-12 metal nuclear shieldings
    • (doi:10.1039/c1cp22043h)
    • Roukala J, Maldonado AF, Vaara J, Aucar GA, Lantto P. 2011 Relativistic effects on group-12 metal nuclear shieldings. Phys. Chem. Chem. Phys. 13, 21 016-21 025. (doi:10.1039/c1cp22043h)
    • (2011) Phys. Chem. Chem. Phys , vol.13 , pp. 21016-21025
    • Roukala, J.1    Maldonado, A.F.2    Vaara, J.3    Aucar, G.A.4    Lantto, P.5
  • 88
    • 3943066480 scopus 로고
    • Relativistic perturbation theory: I. A new perturbation approach to the Dirac equation
    • (doi:10.1088/0022-3700/19/2/005)
    • Rutkowski A. 1986 Relativistic perturbation theory: I. A new perturbation approach to the Dirac equation. J. Phys. B 19, 149-158. (doi:10.1088/0022-3700/ 19/2/005)
    • (1986) J. Phys. B , vol.19 , pp. 149-158
    • Rutkowski, A.1
  • 89
    • 0002528458 scopus 로고
    • Perturbation theory of relativistic corrections 1. The non-relativistic limit of the Dirac equation and a direct perturbation expansion
    • (doi:10.1007/BF01436580)
    • Kutzelnigg W. 1989 Perturbation theory of relativistic corrections 1. The non-relativistic limit of the Dirac equation and a direct perturbation expansion. Z. Phys. D 11, 15-28. (doi:10.1007/BF01436580)
    • (1989) Z. Phys. D , vol.11 , pp. 15-28
    • Kutzelnigg, W.1
  • 90
    • 81855185033 scopus 로고    scopus 로고
    • Direct perturbation theory in terms of energy derivatives: Scalar-relativistic treatment up to sixth order
    • (doi:10.1063/1.3659316)
    • Schwalbach W, Stopkowicz S, Cheng L, Gauss J. 2011 Direct perturbation theory in terms of energy derivatives: scalar-relativistic treatment up to sixth order. J. Chem. Phys. 135, 194114. (doi:10.1063/1.3659316)
    • (2011) J. Chem. Phys , vol.135 , pp. 194114
    • Schwalbach, W.1    Stopkowicz, S.2    Cheng, L.3    Gauss, J.4
  • 91
    • 0001547653 scopus 로고    scopus 로고
    • Relativistic corrections tomagnetic properties
    • doi:10.1002/ (SICI) 1096-987X (199909)20:12<1199::AID-JCC2>3.0. CO;2-8)
    • KutzelniggW. 1999 Relativistic corrections tomagnetic properties. J. Comput. Chem. 20, 1199-1219. (doi:10.1002/(SICI)1096-987X(199909)20:12<1199:: AID-JCC2>3.0.CO;2-8)
    • (1999) J. Comput. Chem , vol.20 , pp. 1199-1219
    • Kutzelnigg, W.1
  • 92
    • 36148931496 scopus 로고
    • Quantum electrodynamical corrections to the fine structure of helium
    • doi:10.1016 /0003-4916 (74)90333 -9)
    • Douglas M, Kroll NM. 1974 Quantum electrodynamical corrections to the fine structure of helium. Ann. Phys. 82, 89-155. (doi:10.1016/0003-4916(74) 90333-9)
    • (1974) Ann. Phys , vol.82 , pp. 89-155
    • Douglas, M.1    Kroll, N.M.2
  • 93
    • 4043072375 scopus 로고    scopus 로고
    • Transgressing theory boundaries: The generalized Douglas-Kroll transformation
    • (eds K Hirao, Y Ishikawa). Recent Advances in Computational Chemistry, Singapore: World Scientific
    • Wolf A, Reiher M, Hess B. 2004 Transgressing theory boundaries: the generalized Douglas-Kroll transformation. In Recent advances in relativistic molecular theory (eds K Hirao, Y Ishikawa). Recent Advances in Computational Chemistry, vol. 5, pp. 137-190. Singapore: World Scientific.
    • (2004) Recent Advances in Relativistic Molecular Theory , vol.5 , pp. 137-190
    • Wolf, A.1    Reiher, M.2    Hess, B.3
  • 94
    • 0037880444 scopus 로고
    • Relativistic regular two-component Hamiltonians
    • (doi:10.1063/1.466059)
    • van Lenthe E, Baerends EJ, Snijders JG. 1993 Relativistic regular two-component Hamiltonians. J. Chem. Phys. 99, 4597-4610. (doi:10.1063/1.466059)
    • (1993) J. Chem. Phys , vol.99 , pp. 4597-4610
    • Van Lenthe, E.1    Baerends, E.J.2    Snijders, J.G.3
  • 95
    • 26544478463 scopus 로고
    • Relativistic electronic-structure calculations employing a two-component no-pair formalism with external-field projection operators
    • (doi:10.1103/PhysRevA.33.3742)
    • Hess BA. 1986 Relativistic electronic-structure calculations employing a two-component no-pair formalism with external-field projection operators. Phys. Rev. A 33, 3742-3748. (doi:10.1103/PhysRevA.33.3742)
    • (1986) Phys. Rev. A , vol.33 , pp. 3742-3748
    • Hess, B.A.1
  • 96
    • 0037159961 scopus 로고    scopus 로고
    • The generalized Douglas-Kroll transformation
    • (doi:10.1063/1.1515314)
    • Wolf A, Reiher M, Hess BA. 2002 The generalized Douglas-Kroll transformation. J. Chem. Phys. 117, 9215-9226. (doi:10.1063/1.1515314)
    • (2002) J. Chem. Phys , vol.117 , pp. 9215-9226
    • Wolf, A.1    Reiher, M.2    Hess, B.A.3
  • 97
    • 36449004790 scopus 로고
    • The two-electron terms of the no-pair Hamiltonian
    • (doi:10.1063/1.462210)
    • Samzow R, Hess BA, Jansen G. 1992 The two-electron terms of the no-pair Hamiltonian. J. Chem. Phys. 96, 1227-1231. (doi:10.1063/1.462210)
    • (1992) J. Chem. Phys , vol.96 , pp. 1227-1231
    • Samzow, R.1    Hess, B.A.2    Jansen, G.3
  • 98
    • 0000658362 scopus 로고    scopus 로고
    • A new relativistic theory: A relativistic scheme by eliminating small components (RESC)
    • (doi:10.1016/S0009-2614(99)00150-5)
    • Nakajima T, Hirao K. 1999 A new relativistic theory: a relativistic scheme by eliminating small components (RESC). Chem. Phys. Lett. 302, 383-391. (doi:10.1016/S0009-2614(99)00150-5)
    • (1999) Chem. Phys. Lett , vol.302 , pp. 383-391
    • Nakajima, T.1    Hirao, K.2
  • 99
    • 11144340506 scopus 로고    scopus 로고
    • Exact decoupling of the Dirac Hamiltonian. II. The generalized Douglas-Kroll-Hess transformation up to arbitrary order
    • (doi:10.1063/1.1818681)
    • Reiher M, Wolf A. 2004 Exact decoupling of the Dirac Hamiltonian. II. The generalized Douglas-Kroll-Hess transformation up to arbitrary order. J. Chem. Phys. 121, 10 945-10 956. (doi:10.1063/1.1818681)
    • (2004) J. Chem. Phys , vol.121 , pp. 10945-10956
    • Reiher, M.1    Wolf, A.2
  • 100
    • 59349099428 scopus 로고    scopus 로고
    • An arbitrary order Douglas-Kroll method with polynomial cost
    • (doi:10.1063/1.3068310)
    • Peng D, Hirao K. 2009 An arbitrary order Douglas-Kroll method with polynomial cost. J. Chem. Phys. 130, 044102. (doi:10.1063/1.3068310)
    • (2009) J. Chem. Phys , vol.130 , pp. 044102
    • Peng, D.1    Hirao, K.2
  • 101
    • 0022810794 scopus 로고
    • Regular two-component Pauli-like effective Hamiltonians in Dirac theory
    • (doi:10.1088/0031-8949/34/5/007)
    • Chang C, Pelissier M, Durand M. 1986 Regular two-component Pauli-like effective Hamiltonians in Dirac theory. Phys. Scr. 34, 394-404. (doi:10.1088/0031-8949/34/5/007)
    • (1986) Phys. Scr , vol.34 , pp. 394-404
    • Chang, C.1    Pelissier, M.2    Durand, M.3
  • 102
    • 65249111025 scopus 로고    scopus 로고
    • Gaussian basis set and planewave relativistic spin-orbit methods in NWChem
    • (doi:10.1021/ct8002892)
    • Nichols P, Govind N, Bylaska EJ, de Jong WA. 2009 Gaussian basis set and planewave relativistic spin-orbit methods in NWChem. J. Chem. Theory Comput. 5, 491-499. (doi:10.1021/ct8002892)
    • (2009) J. Chem. Theory Comput , vol.5 , pp. 491-499
    • Nichols, P.1    Govind, N.2    Bylaska, E.J.3    De Jong, W.A.4
  • 103
    • 0038346162 scopus 로고    scopus 로고
    • Molecular density functional calculations in the regular relativistic approximation: Method, application to coinage metal diatomics, hydrides, fluorides and chlorides, and comparison with first-order relativistic calculations
    • (doi:10.1063/1.476576)
    • van Wüllen C. 1998 Molecular density functional calculations in the regular relativistic approximation: method, application to coinage metal diatomics, hydrides, fluorides and chlorides, and comparison with first-order relativistic calculations. J. Chem. Phys. 109, 392-399. (doi:10.1063/1.476576)
    • (1998) J. Chem. Phys , vol.109 , pp. 392-399
    • Van Wüllen, C.1
  • 104
    • 0001147272 scopus 로고    scopus 로고
    • Relativistic calculations on the adsorption of CO on the (111) surfaces of Ni, Pd, and Pt within the zeroth-order regular approximation
    • (doi:10.1103/PhysRevB.56.13556)
    • Philipsen PHT, van Lenthe E, Snijders JG, Baerends EJ. 1997 Relativistic calculations on the adsorption of CO on the (111) surfaces of Ni, Pd, and Pt within the zeroth-order regular approximation. Phys. Rev. B 56, 13 556-13 562. (doi:10.1103/PhysRevB.56.13556)
    • (1997) Phys. Rev. B , vol.56 , pp. 13556-13562
    • Philipsen, P.H.T.1    Van Lenthe, E.2    Snijders, J.G.3    Baerends, E.J.4
  • 105
    • 79961053715 scopus 로고    scopus 로고
    • Nuclear magnetic resonance shielding constants and chemical shifts in linear 199Hg compounds: A comparison of three relativistic computational methods
    • (doi:10.1063/1.3608153)
    • Arcisauskaite V, Melo JI, Hemmingsen L, Sauer SPA. 2011 Nuclear magnetic resonance shielding constants and chemical shifts in linear 199Hg compounds: a comparison of three relativistic computational methods. J. Chem. Phys. 135, 044306. (doi:10.1063/1.3608153)
    • (2011) J. Chem. Phys , vol.135 , pp. 044306
    • Arcisauskaite, V.1    Melo, J.I.2    Hemmingsen, L.3    Sauer, S.P.A.4
  • 106
    • 2942550208 scopus 로고
    • Relativistic total energy using regular approximations
    • (doi:10.1063/1.467943)
    • van Lenthe E, Baerends EJ, Snijders JG. 1994 Relativistic total energy using regular approximations. J. Chem. Phys. 101, 9783-9792. (doi:10.1063/1.467943)
    • (1994) J. Chem. Phys , vol.101 , pp. 9783-9792
    • Van Lenthe, E.1    Baerends, E.J.2    Snijders, J.G.3
  • 107
    • 0001392721 scopus 로고    scopus 로고
    • Relativistic regular approximations revisited: An infinite-order relativistic approximation
    • (doi:10.1063/1.479395)
    • Dyall KG, van Lenthe E. 1999 Relativistic regular approximations revisited: an infinite-order relativistic approximation. J. Chem. Phys. 111, 1366-1372. (doi:10.1063/1.479395)
    • (1999) J. Chem. Phys , vol.111 , pp. 1366-1372
    • Dyall, K.G.1    Van Lenthe, E.2
  • 110
    • 28444485314 scopus 로고    scopus 로고
    • Accurate and efficient treatment of two-electron contributions in quasirelativistic high-order Douglas-Kroll density-functional calculations
    • (doi:10.1063/1.2133731)
    • van Wüllen C, Michauk C. 2005 Accurate and efficient treatment of two-electron contributions in quasirelativistic high-order Douglas-Kroll density-functional calculations. J. Chem. Phys. 123, 204113. (doi:10.1063/1.2133731)
    • (2005) J. Chem. Phys , vol.123 , pp. 204113
    • Van Wüllen, C.1    Michauk, C.2
  • 111
    • 34548675380 scopus 로고    scopus 로고
    • Making four- and two-component relativistic density functional methods fully equivalent based on the idea of 'from atoms to molecule
    • (doi:10.1063/1.2772856)
    • Peng D, Liu W, Xiao Y, Cheng L. 2007 Making four- and two-component relativistic density functional methods fully equivalent based on the idea of 'from atoms to molecule'. J. Chem. Phys. 127, 104106. (doi:10.1063/1.2772856)
    • (2007) J. Chem. Phys , vol.127 , pp. 104106
    • Peng, D.1    Liu, W.2    Xiao, Y.3    Cheng, L.4
  • 112
    • 0030605478 scopus 로고    scopus 로고
    • A mean-field spin-orbit method applicable to correlated wavefunctions
    • (doi:10.1016/0009-2614(96)00119-4)
    • Hess, BA, Marian CM, Wahlgren U, Gropen O. 1996 A mean-field spin-orbit method applicable to correlated wavefunctions. Chem. Phys. Lett. 251, 365-371. (doi:10.1016/0009-2614(96)00119-4)
    • (1996) Chem. Phys. Lett , vol.251 , pp. 365-371
    • Hess, B.A.1    Marian, C.M.2    Wahlgren, U.3    Gropen, O.4
  • 113
    • 78650984418 scopus 로고    scopus 로고
    • Quantum electrodynamic corrections for the valence shell in heavy many-electron atoms
    • (doi:10.1103/ PhysRevA.82.062503)
    • Thierfelder C, Schwerdtfeger P. 2010 Quantum electrodynamic corrections for the valence shell in heavy many-electron atoms. Phys. Rev. A 82, 062503. (doi:10.1103/ PhysRevA.82.062503)
    • (2010) Phys. Rev. A , vol.82 , pp. 062503
    • Thierfelder, C.1    Schwerdtfeger, P.2
  • 114
    • 0033313423 scopus 로고    scopus 로고
    • Self-consistent treatment of the frequency-independent Breit interaction in Dirac-Fock and MCSCF calculations of atomic structures. I. Theoretical considerations
    • (doi:10.1088/0953-4075/32/23/306)
    • Reiher M, Hinze J. 1999 Self-consistent treatment of the frequency-independent Breit interaction in Dirac-Fock and MCSCF calculations of atomic structures. I. Theoretical considerations. J. Phys. B 32, 5489-5505. (doi:10.1088/0953-4075/32/23/306)
    • (1999) J. Phys. B , vol.32 , pp. 5489-5505
    • Reiher, M.1    Hinze, J.2
  • 115
    • 0001233675 scopus 로고
    • On the interaction of two electrons
    • (doi:10.1098/rspa.1951.0181)
    • Brown GE, Ravenhall DG. 1951 On the interaction of two electrons. Proc. R. Soc. Lond. A 208, 552-559. (doi:10.1098/rspa.1951.0181)
    • (1951) Proc. R. Soc. Lond. A , vol.208 , pp. 552-559
    • Brown, G.E.1    Ravenhall, D.G.2
  • 116
    • 82955194752 scopus 로고    scopus 로고
    • Perspectives of relativistic quantum chemistry: The negative energy cat smiles
    • (doi:10.1039/c1cp21718f)
    • Liu W. 2011 Perspectives of relativistic quantum chemistry: the negative energy cat smiles. Phys. Chem. Chem. Phys. 14, 35-48. (doi:10.1039/c1cp21718f)
    • (2011) Phys. Chem. Chem. Phys , vol.14 , pp. 35-48
    • Liu, W.1
  • 117
    • 4444294968 scopus 로고    scopus 로고
    • Four-component electronic structure methods for molecules
    • (eds U Kaldor, S Wilson). Progress in Theoretical Chemistry and Physics, Dordrecht, The Netherlands: Kluwer
    • Saue T, Visscher L. 2003 Four-component electronic structure methods for molecules. In Theoretical chemistry and physics of heavy and superheavy elements (eds U Kaldor, S Wilson). Progress in Theoretical Chemistry and Physics, vol. 11, pp. 211-267. Dordrecht, The Netherlands: Kluwer.
    • (2003) Theoretical Chemistry and Physics of Heavy and Superheavy Elements , vol.11 , pp. 211-267
    • Saue, T.1    Visscher, L.2
  • 118
    • 0001478091 scopus 로고
    • Inhomogeneous electron gas
    • (doi:10.1103/PhysRevB.7.1912)
    • Rajagopal AK, Callaway J. 1973 Inhomogeneous electron gas. Phys. Rev. B 7, 1912. (doi:10.1103/PhysRevB.7.1912)
    • (1973) Phys. Rev. B , vol.7 , pp. 1912
    • Rajagopal, A.K.1    Callaway, J.2
  • 119
    • 0000378434 scopus 로고
    • Inhomogeneous relativistic electron gas
    • (doi:10.1088/0022-3719/11/24/002)
    • Rajagopal AK. 1978 Inhomogeneous relativistic electron gas. J. Phys. C 11, L943. (doi:10.1088/0022-3719/11/24/002)
    • (1978) J. Phys. C , vol.11
    • Rajagopal, A.K.1
  • 120
    • 0001351665 scopus 로고
    • A relativistic density functional formalism
    • (doi:10.1088/0022-3719/12/15/007)
    • MacDonald AH, Vosko SH. 1979 A relativistic density functional formalism. J. Phys. C 12, 2977. (doi:10.1088/0022-3719/12/15/007)
    • (1979) J. Phys. C , vol.12 , pp. 2977
    • Macdonald, A.H.1    Vosko, S.H.2
  • 121
    • 0001886050 scopus 로고    scopus 로고
    • Relativistic density functional theory
    • (ed. RF Nalewajski). Topics in Current Chemistry, Berlin, Germany: Springer
    • Engel E, Dreizler RM. 1996 Relativistic density functional theory. In Density functional theory II (ed. RF Nalewajski). Topics in Current Chemistry, vol. 181, pp. 1-80. Berlin, Germany: Springer.
    • (1996) Density Functional Theory II , vol.181 , pp. 1-80
    • Engel, E.1    Dreizler, R.M.2
  • 122
    • 79960768307 scopus 로고    scopus 로고
    • Recent advances and perspectives in four-component Dirac-Kohn-Sham calculations
    • (doi:10.1039/c1cp20569b)
    • Belpassi L, Storchi L, Quiney HM, Tarantelli F. 2011 Recent advances and perspectives in four-component Dirac-Kohn-Sham calculations. Phys. Chem. Chem. Phys. 13, 12 368-12 394. (doi:10.1039/c1cp20569b)
    • (2011) Phys. Chem. Chem. Phys , vol.13 , pp. 12368-12394
    • Belpassi, L.1    Storchi, L.2    Quiney, H.M.3    Tarantelli, F.4
  • 123
    • 0036605513 scopus 로고    scopus 로고
    • Spin densities in two-component relativistic density functional calculations: Noncollinear versus collinear approach
    • (doi:10.1002/jcc.10043)
    • van Wüllen C. 2002 Spin densities in two-component relativistic density functional calculations: noncollinear versus collinear approach. J. Comput. Chem. 23, 779-785. (doi:10.1002/jcc.10043)
    • (2002) J. Comput. Chem , vol.23 , pp. 779-785
    • Van Wüllen, C.1
  • 124
    • 0002255222 scopus 로고    scopus 로고
    • Relativistic density functional approach to open shells
    • doi:10.1002 /(SICI) 1096-987X (19990115)20:1<23::AIDJCC5>3.0.CO;2- N)
    • Eschrig H, Servedio VDP. 1999 Relativistic density functional approach to open shells. J. Comput. Chem. 20, 23-30. (doi:10.1002/(SICI)1096-987X(19990115) 20:1<23::AIDJCC5>3.0.CO;2-N)
    • (1999) J. Comput. Chem , vol.20 , pp. 23-30
    • Eschrig, H.1    Servedio, V.D.P.2
  • 125
    • 0036605512 scopus 로고    scopus 로고
    • Four-component relativistic Kohn-Sham theory
    • (doi:10.1002/jcc.10066)
    • Saue T, Helgaker T. 2002 Four-component relativistic Kohn-Sham theory. J. Comput. Chem. 23, 814-823. (doi:10.1002/jcc.10066)
    • (2002) J. Comput. Chem , vol.23 , pp. 814-823
    • Saue, T.1    Helgaker, T.2
  • 126
    • 0000164993 scopus 로고    scopus 로고
    • On the origin and contribution of the diamagnetic term in four-component relativistic calculations ofmagnetic properties
    • (doi:10.1063/1.479181)
    • Aucar GA, Saue T, Visscher L, Jensen HJA. 1999 On the origin and contribution of the diamagnetic term in four-component relativistic calculations ofmagnetic properties. J. Chem. Phys. 110, 6208-6218. (doi:10.1063/1.479181)
    • (1999) J. Chem. Phys , vol.110 , pp. 6208-6218
    • Aucar, G.A.1    Saue, T.2    Visscher, L.3    Jensen, H.J.A.4
  • 127
    • 0002039088 scopus 로고
    • On the relativistic theory of NMR chemical shifts
    • (doi:10.1016/0301-0104(83)80001-9)
    • Pyykkö P. 1983 On the relativistic theory of NMR chemical shifts. Chem. Phys. 74, 1-7. (doi:10.1016/0301-0104(83)80001-9)
    • (1983) Chem. Phys , vol.74 , pp. 1-7
    • Pyykkö, P.1
  • 128
    • 33645888715 scopus 로고    scopus 로고
    • Magnetic balance and explicit diamagnetic expressions for nuclear magnetic resonance shielding tensors
    • (doi:10.1016/S0065-3276(05)48019-3)
    • Visscher L. 2005 Magnetic balance and explicit diamagnetic expressions for nuclear magnetic resonance shielding tensors. Adv. Quantum Chem. 48, 369-381. (doi:10.1016/S0065-3276(05)48019-3)
    • (2005) Adv. Quantum Chem , vol.48 , pp. 369-381
    • Visscher, L.1
  • 129
    • 59349085940 scopus 로고    scopus 로고
    • Electromagnetic fields in relativistic one-particle equations
    • (doi:10.1016/j.chemphys.2008.10.021)
    • Luber S, Ondik IM, Reiher M. 2009 Electromagnetic fields in relativistic one-particle equations. Chem. Phys. 356, 205-218. (doi:10.1016/j.chemphys.2008. 10.021)
    • (2009) Chem. Phys , vol.356 , pp. 205-218
    • Luber, S.1    Ondik, I.M.2    Reiher, M.3
  • 130
    • 0038175265 scopus 로고    scopus 로고
    • Diamagnetism in relativistic theory
    • (doi:10.1103/PhysRevA.67.032109)
    • Kutzelnigg W. 2003 Diamagnetism in relativistic theory. Phys. Rev. A 67, 032109. (doi:10.1103/PhysRevA.67.032109)
    • (2003) Phys. Rev. A , vol.67 , pp. 032109
    • Kutzelnigg, W.1
  • 131
    • 33847651699 scopus 로고    scopus 로고
    • Four-component relativistic theory for nuclear magnetic shielding constants: The orbital decomposition approach
    • (doi:10.1063/1.2565724)
    • Xiao Y, Peng D, Liu W. 2007 Four-component relativistic theory for nuclear magnetic shielding constants: the orbital decomposition approach. J. Chem. Phys. 126, 081101. (doi:10.1063/1.2565724)
    • (2007) J. Chem. Phys , vol.126 , pp. 081101
    • Xiao, Y.1    Peng, D.2    Liu, W.3
  • 132
    • 33847651699 scopus 로고    scopus 로고
    • Four-component relativistic theory for nuclear magnetic shielding constants: Critical assessments of different approaches
    • (doi:10.1063/1.2736702)
    • Xiao Y, Liu W, Cheng L, Peng D. 2007 Four-component relativistic theory for nuclear magnetic shielding constants: critical assessments of different approaches. J. Chem. Phys. 126, 214101. (doi:10.1063/1.2736702)
    • (2007) J. Chem. Phys , vol.126 , pp. 214101
    • Xiao, Y.1    Liu, W.2    Cheng, L.3    Peng, D.4
  • 133
    • 84855474216 scopus 로고    scopus 로고
    • Fully relativistic theories and methods for NMR parameters
    • (doi:10.1007/s00214-011-1080-z)
    • Xiao Y, Sun Q, Liu W. 2012 Fully relativistic theories and methods for NMR parameters. Theor. Chem. Acc. 131, 1080. (doi:10.1007/s00214-011-1080-z)
    • (2012) Theor. Chem. Acc , vol.131 , pp. 1080
    • Xiao, Y.1    Sun, Q.2    Liu, W.3
  • 134
    • 40849145721 scopus 로고    scopus 로고
    • A fully relativistic method for calculation of nuclear magnetic shielding tensors with a restricted magnetically balanced basis in the framework of the matrix Dirac-Kohn-Sham equation
    • (doi:10.1063/1.2837472)
    • Komorovsky S, Repisky M, Malkina OL, Malkin VG, Ondik IM, Kaupp M. 2008 A fully relativistic method for calculation of nuclear magnetic shielding tensors with a restricted magnetically balanced basis in the framework of the matrix Dirac-Kohn-Sham equation. J. Chem. Phys. 128, 104101. (doi:10.1063/1.2837472)
    • (2008) J. Chem. Phys , vol.128 , pp. 104101
    • Komorovsky, S.1    Repisky, M.2    Malkina, O.L.3    Malkin, V.G.4    Ondik, I.M.5    Kaupp, M.6
  • 135
    • 77951675060 scopus 로고    scopus 로고
    • Fully relativistic calculations of NMR shielding tensors using restricted magnetically balanced basis and gauge including atomic orbitals
    • (doi:10.1063/1.3359849)
    • Komorovsky S, Repisky M, Malkina OL, Malkin VG. 2010 Fully relativistic calculations of NMR shielding tensors using restricted magnetically balanced basis and gauge including atomic orbitals. J. Chem. Phys. 132, 154101. (doi:10.1063/1.3359849)
    • (2010) J. Chem. Phys , vol.132 , pp. 154101
    • Komorovsky, S.1    Repisky, M.2    Malkina, O.L.3    Malkin, V.G.4
  • 136
    • 73649117468 scopus 로고    scopus 로고
    • Four-component relativistic theory for nuclear magnetic shielding: Magnetically balanced gauge-including atomic orbitals
    • (doi:10.1063/1.3283036)
    • Cheng L, Xiao Y, Liu W. 2009 Four-component relativistic theory for nuclear magnetic shielding: magnetically balanced gauge-including atomic orbitals. J. Chem. Phys. 131, 244113. (doi:10.1063/1.3283036)
    • (2009) J. Chem. Phys , vol.131 , pp. 244113
    • Cheng, L.1    Xiao, Y.2    Liu, W.3
  • 137
    • 77953592165 scopus 로고    scopus 로고
    • Dirac-Hartree-Fock perturbation calculation of magnetic shielding using the external field-dependent restrictedmagnetic balance condition
    • (doi:10.1246/bcsj.20100028)
    • Hamaya S, Fukui H. 2010 Dirac-Hartree-Fock perturbation calculation of magnetic shielding using the external field-dependent restrictedmagnetic balance condition. Bull. Chem. Soc. Jpn 83, 635-642. (doi:10.1246/bcsj.20100028)
    • (2010) Bull. Chem. Soc. Jpn , vol.83 , pp. 635-642
    • Hamaya, S.1    Fukui, H.2
  • 138
    • 84855533254 scopus 로고    scopus 로고
    • A simple scheme for magnetic balance in fourcomponent relativistic Kohn-Sham calculations of nuclear magnetic resonance shielding constants in a Gaussian basis
    • (doi:10.1063/1.3671390) [Erratum: 2012 J. Chem. Phys. 136, 239902. (doi:10.1063/1.4725184)]
    • Olejniczak M, Bast R, Saue T, Pecul M. 2012 A simple scheme for magnetic balance in fourcomponent relativistic Kohn-Sham calculations of nuclear magnetic resonance shielding constants in a Gaussian basis. J. Chem. Phys. 136, 014108. (doi:10.1063/1.3671390) [Erratum: 2012 J. Chem. Phys. 136, 239902. (doi:10.1063/1.4725184)]
    • (2012) J. Chem. Phys , vol.136 , pp. 014108
    • Olejniczak, M.1    Bast, R.2    Saue, T.3    Pecul, M.4
  • 139
    • 0037439843 scopus 로고    scopus 로고
    • Quasirelativistic theory for the magnetic shielding constant. I. Formulation of Douglas-Kroll-Hess transformation for the magnetic field and its application to atomic systems
    • (doi:10.1063/1.1528933)
    • Fukuda R, Hada M, Nakatsuji H. 2003 Quasirelativistic theory for the magnetic shielding constant. I. Formulation of Douglas-Kroll-Hess transformation for the magnetic field and its application to atomic systems. J. Chem. Phys. 118, 1015-1026. (doi:10.1063/1.1528933)
    • (2003) J. Chem. Phys , vol.118 , pp. 1015-1026
    • Fukuda, R.1    Hada, M.2    Nakatsuji, H.3
  • 140
    • 0037439975 scopus 로고    scopus 로고
    • Quasirelativistic theory for magnetic shielding constants. II. Gauge-including atomic orbitals and applications to molecules
    • (doi:10.1063/1.1528934)
    • Fukuda R, Hada M, Nakatsuji H. 2003 Quasirelativistic theory for magnetic shielding constants. II. Gauge-including atomic orbitals and applications to molecules. J. Chem. Phys. 118, 1027-1035. (doi:10.1063/1.1528934)
    • (2003) J. Chem. Phys , vol.118 , pp. 1027-1035
    • Fukuda, R.1    Hada, M.2    Nakatsuji, H.3
  • 141
    • 28344446590 scopus 로고    scopus 로고
    • Relativistic calculation of indirect NMR spin-spin couplings using the Douglas-Kroll-Hess approximation
    • (doi:10.1063/1.2133730)
    • Melo JI, Ruiz de Azúa MC, Peralta JE, Scuseria GE. 2005 Relativistic calculation of indirect NMR spin-spin couplings using the Douglas-Kroll-Hess approximation. J. Chem. Phys. 123, 204112. (doi:10.1063/1.2133730)
    • (2005) J. Chem. Phys , vol.123 , pp. 204112
    • Melo, J.I.1    Ruiz De Azúa, M.C.2    Peralta, J.E.3    Scuseria, G.E.4
  • 142
    • 0037051460 scopus 로고    scopus 로고
    • Calculation of nuclear magnetic shieldings. XIV. Relativistic mass velocity corrected perturbation Hamiltonians
    • (doi:10.1080/00268970110096425)
    • Baba T, Fukui H. 2002 Calculation of nuclear magnetic shieldings. XIV. Relativistic mass velocity corrected perturbation Hamiltonians. Mol. Phys. 100, 623-633. (doi:10.1080/ 00268970110096425)
    • (2002) Mol. Phys , vol.100 , pp. 623-633
    • Baba, T.1    Fukui, H.2
  • 143
    • 25444438733 scopus 로고    scopus 로고
    • Calculation of nuclear magnetic shieldings using an analytically differentiated relativistic shielding formula
    • (doi:10.1063/1.2032408)
    • Kudo K, Fukui H. 2005 Calculation of nuclear magnetic shieldings using an analytically differentiated relativistic shielding formula. J. Chem. Phys. 123, 114102. (doi:10.1063/ 1.2032408)
    • (2005) J. Chem. Phys , vol.123 , pp. 114102
    • Kudo, K.1    Fukui, H.2
  • 144
    • 29744431924 scopus 로고    scopus 로고
    • Relativistic two-component calculations of electronic g-tensors that include spin polarization
    • (doi:10.1063/1.2135290)
    • Malkin I, Malkina OL, Malkin VG, Kaupp M. 2005 Relativistic two-component calculations of electronic g-tensors that include spin polarization. J. Chem. Phys. 123, 244103. (doi:10.1063/1.2135290)
    • (2005) J. Chem. Phys , vol.123 , pp. 244103
    • Malkin, I.1    Malkina, O.L.2    Malkin, V.G.3    Kaupp, M.4
  • 145
    • 33845791985 scopus 로고    scopus 로고
    • Scalar relativistic calculations of hyperfine coupling tensors using the Douglas-Kroll-Hess method with a finite-size nucleus model
    • (doi:10.1039/b607044b)
    • Malkin E, Malkin I, Malkina OL, Malkin VG, Kaupp M. 2006 Scalar relativistic calculations of hyperfine coupling tensors using the Douglas-Kroll-Hess method with a finite-size nucleus model. Phys. Chem. Chem. Phys. 8, 4079-4085. (doi:10.1039/b607044b)
    • (2006) Phys. Chem. Chem. Phys , vol.8 , pp. 4079-4085
    • Malkin, E.1    Malkin, I.2    Malkina, O.L.3    Malkin, V.G.4    Kaupp, M.5
  • 146
    • 32644470609 scopus 로고    scopus 로고
    • Exact decoupling of the Dirac Hamiltonian. III. Molecular properties
    • (doi:10.1063/1.2161179)
    • Wolf A, Reiher M. 2006 Exact decoupling of the Dirac Hamiltonian. III. Molecular properties. J. Chem. Phys. 124, 064102. (doi:10.1063/1.2161179)
    • (2006) J. Chem. Phys , vol.124 , pp. 064102
    • Wolf, A.1    Reiher, M.2
  • 147
    • 78049360083 scopus 로고    scopus 로고
    • Magnetic shielding constants calculated by the infinite-order Douglas-Kroll-Hess method with electron-electron relativistic corrections
    • (doi:10.1063/1.3413529)
    • Seino J, HadaM. 2010 Magnetic shielding constants calculated by the infinite-order Douglas-Kroll-Hess method with electron-electron relativistic corrections. J. Chem. Phys. 132, 174105. (doi:10.1063/1.3413529)
    • (2010) J. Chem. Phys , vol.132 , pp. 174105
    • Seino, J.1    Hada, M.2
  • 148
    • 84866130434 scopus 로고    scopus 로고
    • One-electron contributions to the g-tensor for second-order Douglas-Kroll-Hess theory
    • (doi:10.1063/1.4747454)
    • Sandhoefer B, Neese F. 2012 One-electron contributions to the g-tensor for second-order Douglas-Kroll-Hess theory. J. Chem. Phys. 137, 094102. (doi:10.1063/1.4747454)
    • (2012) J. Chem. Phys , vol.137 , pp. 094102
    • Sandhoefer, B.1    Neese, F.2
  • 149
    • 84868678253 scopus 로고    scopus 로고
    • Exact two-component relativistic theory for NMR parameters: General formulation and pilot application
    • (doi:10.1063/1.4764042)
    • Sun Q, Xiao Y, Liu W. 2012 Exact two-component relativistic theory for NMR parameters: general formulation and pilot application. J. Chem. Phys. 137, 174105. (doi:10.1063/ 1.4764042)
    • (2012) J. Chem. Phys , vol.137 , pp. 174105
    • Sun, Q.1    Xiao, Y.2    Liu, W.3
  • 150
    • 69549091528 scopus 로고    scopus 로고
    • Exact two-component relativistic theory for nuclear magnetic resonance parameters
    • (doi:10.1063/1.3216471)
    • Sun Q, Liu W, Xiao Y, Cheng L. 2009 Exact two-component relativistic theory for nuclear magnetic resonance parameters. J. Chem. Phys. 131, 081101. (doi:10.1063/1.3216471)
    • (2009) J. Chem. Phys , vol.131 , pp. 081101
    • Sun, Q.1    Liu, W.2    Xiao, Y.3    Cheng, L.4
  • 151
    • 34548441706 scopus 로고    scopus 로고
    • Decoupling of the Dirac equation correct to the third order for the magnetic perturbation
    • (doi:10.1063/1.2759199)
    • Ootani Y, Maeda H, Fukui H. 2007 Decoupling of the Dirac equation correct to the third order for the magnetic perturbation. J. Chem. Phys. 127, 084117. (doi:10.1063/1.2759199)
    • (2007) J. Chem. Phys , vol.127 , pp. 084117
    • Ootani, Y.1    Maeda, H.2    Fukui, H.3
  • 152
    • 79960974553 scopus 로고    scopus 로고
    • Mercury-from clusters to the solid
    • (ed. K Sattler), London, UK: Taylor & Francis
    • Pahl E, Schwerdtfeger P. 2010 Mercury-from clusters to the solid. In Handbook of nano-physics (ed. K Sattler), pp. 1-13. London, UK: Taylor & Francis.
    • (2010) Handbook of Nano-physics , pp. 1-13
    • Pahl, E.1    Schwerdtfeger, P.2
  • 153
    • 84857067028 scopus 로고    scopus 로고
    • Diatomics-in-molecules modeling of many-body effects on the structure and thermodynamics of mercury clusters
    • (doi:10.1021/ct200846a)
    • Calvo F, Pahl E, Schwerdtfeger P, Spiegelman F. 2012 Diatomics-in- molecules modeling of many-body effects on the structure and thermodynamics of mercury clusters. J. Chem. Theory Comput. 8, 639-648. (doi:10.1021/ct200846a)
    • (2012) J. Chem. Theory Comput , vol.8 , pp. 639-648
    • Calvo, F.1    Pahl, E.2    Schwerdtfeger, P.3    Spiegelman, F.4
  • 154
    • 84862206724 scopus 로고    scopus 로고
    • Benchmark assessment of the accuracy of several van der Waals density functionals
    • (doi:10.1021/ct300081y)
    • Vydrov OA, Van Voorhis T. 2012 Benchmark assessment of the accuracy of several van der Waals density functionals. J. Chem. Theory Comput. 8, 1929-1934. (doi:10.1021/ct300081y)
    • (2012) J. Chem. Theory Comput , vol.8 , pp. 1929-1934
    • Vydrov, O.A.1    Van Voorhis, T.2
  • 155
    • 84857049739 scopus 로고    scopus 로고
    • Range-separated density functional theory: A 4-component relativistic study of the rare gas dimers He2, Ne2, Ar2, Kr2, Xe2, Rn2 and Uuo2
    • (doi:10.1016/j.chemphys.2011.06.024)
    • Kullie O, Saue T. 2012 Range-separated density functional theory: a 4-component relativistic study of the rare gas dimers He2, Ne2, Ar2, Kr2, Xe2, Rn2 and Uuo2. Chem. Phys. 395, 54-62. (doi:10.1016/j.chemphys.2011.06.024)
    • (2012) Chem. Phys , vol.395 , pp. 54-62
    • Kullie, O.1    Saue, T.2
  • 157
    • 84855262915 scopus 로고    scopus 로고
    • Analytic second derivatives for the spin-free exact two-component theory
    • (doi:10.1063/1.3667202)
    • Cheng L, Gauss J. 2011 Analytic second derivatives for the spin-free exact two-component theory. J. Chem. Phys. 135, 244104. (doi:10.1063/1.3667202)
    • (2011) J. Chem. Phys , vol.135 , pp. 244104
    • Cheng, L.1    Gauss, J.2
  • 158
    • 79960164140 scopus 로고    scopus 로고
    • Development and application of the analytical energy gradient for the normalized elimination of the small component method
    • (doi:10.1063/1.3603454)
    • Zou W, Filatov M, Cremer D. 2011 Development and application of the analytical energy gradient for the normalized elimination of the small component method. J. Chem. Phys. 134, 244117. (doi:10.1063/1.3603454)
    • (2011) J. Chem. Phys , vol.134 , pp. 244117
    • Zou, W.1    Filatov, M.2    Cremer, D.3
  • 159
    • 84865098777 scopus 로고    scopus 로고
    • Development, implementation, and application of an analytic second derivative formalism for the normalized elimination of the small component method
    • (doi:10.1021/ct300127e)
    • Zou W, Filatov M, Cremer D. 2012 Development, implementation, and application of an analytic second derivative formalism for the normalized elimination of the small component method. J. Chem. Theory Comput. 8, 2617-2629. (doi:10.1021/ct300127e)
    • (2012) J. Chem. Theory Comput , vol.8 , pp. 2617-2629
    • Zou, W.1    Filatov, M.2    Cremer, D.3
  • 160
    • 84865752235 scopus 로고    scopus 로고
    • Analytic calculation of second-order electric response properties with the normalized elimination of the small component (NESC) method
    • (doi:10.1063/1.4747335)
    • Zou W, Filatov M, Cremer D. 2012 Analytic calculation of second-order electric response properties with the normalized elimination of the small component (NESC) method. J. Chem. Phys. 137, 084108. (doi:10.1063/1.4747335)
    • (2012) J. Chem. Phys , vol.137 , pp. 084108
    • Zou, W.1    Filatov, M.2    Cremer, D.3
  • 161
    • 68949194143 scopus 로고    scopus 로고
    • Combining NMR spectroscopy and quantum chemistry as tools to quantify spin density distributions in molecular magnetic compounds
    • (doi:10.1016/j.ccr.2008.12.020)
    • Kaupp M, Köhler FH. 2009 Combining NMR spectroscopy and quantum chemistry as tools to quantify spin density distributions in molecular magnetic compounds. Coord. Chem. Rev. 253, 2376-2386. (doi:10.1016/j.ccr.2008.12.020)
    • (2009) Coord. Chem. Rev , vol.253 , pp. 2376-2386
    • Kaupp, M.1    Köhler, F.H.2
  • 162
    • 14844317973 scopus 로고    scopus 로고
    • Relativistic effects on NMR chemical shifts
    • (ed. P Schwerdtfeger), Amsterdam, The Netherlands, Elsevier
    • Kaupp M. 2004 Relativistic effects on NMR chemical shifts. In Relativistic electronic structure theory (ed. P Schwerdtfeger), vol. 2, pp. 552-597. Amsterdam, The Netherlands: Elsevier.
    • (2004) Relativistic Electronic Structure Theory , vol.2 , pp. 552-597
    • Kaupp, M.1
  • 163
    • 77950949488 scopus 로고    scopus 로고
    • Polarization propagators: A powerful theoretical tool for a deeper understanding of NMR spectroscopic parameters
    • (doi:10.1080/01442350903432865)
    • Aucar GA, Romero RH, Maldonado AF. 2010 Polarization propagators: a powerful theoretical tool for a deeper understanding of NMR spectroscopic parameters. Int. Rev. Phys. Chem. 29, 1-64. (doi:10.1080/01442350903432865)
    • (2010) Int. Rev. Phys. Chem , vol.29 , pp. 1-64
    • Aucar, G.A.1    Romero, R.H.2    Maldonado, A.F.3
  • 164
    • 34247552832 scopus 로고    scopus 로고
    • Computational NMR spectroscopy: Reversing the information flow
    • (doi:10.1007/s00214-006-0196-z)
    • Bagno A, Saielli G. 2006 Computational NMR spectroscopy: reversing the information flow. Theor. Chem. Acc. 117, 603-619. (doi:10.1007/s00214-006-0196- z)
    • (2006) Theor. Chem. Acc , vol.117 , pp. 603-619
    • Bagno, A.1    Saielli, G.2
  • 165
    • 50549095022 scopus 로고    scopus 로고
    • DFT computations of transition-metal chemical shifts
    • (doi:10.1016/S0066-4103(08)00003-3)
    • Bühl M. 2008 DFT computations of transition-metal chemical shifts. Annu. Rep. NMR Spectrosc. 64, 77-125. (doi:10.1016/S0066-4103(08)00003-3)
    • (2008) Annu. Rep. NMR Spectrosc , vol.64 , pp. 77-125
    • Bühl, M.1
  • 166
    • 60649102619 scopus 로고    scopus 로고
    • Prediction of molecular properties and molecular spectroscopy with density functional theory: From fundamental theory to exchange-coupling
    • (doi:10.1016/j.ccr.2008.05.014)
    • Neese F. 2009 Prediction of molecular properties and molecular spectroscopy with density functional theory: from fundamental theory to exchange-coupling. Coord. Chem. Rev. 253, 526-563. (doi:10.1016/j.ccr.2008.05. 014)
    • (2009) Coord. Chem. Rev , vol.253 , pp. 526-563
    • Neese, F.1
  • 167
    • 84857095758 scopus 로고    scopus 로고
    • NMR spectroscopy: Quantum-chemical calculations
    • (doi:10.1002/wcms.63)
    • Bühl M, van Mourik T. 2011 NMR spectroscopy: quantum-chemical calculations. Wiley Interdiscip. Rev.: Comput. Mol. Sci. 1, 634-647. (doi:10.1002/wcms.63)
    • (2011) Wiley Interdiscip. Rev.: Comput. Mol. Sci , vol.1 , pp. 634-647
    • Bühl, M.1    Van Mourik, T.2
  • 169
    • 84864852126 scopus 로고    scopus 로고
    • Relativistically corrected electric field gradients calculated with the normalized elimination of the small component formalism
    • (doi:10.1063/1.4742175)
    • FilatovM, ZouW, Cremer D. 2012 Relativistically corrected electric field gradients calculated with the normalized elimination of the small component formalism. J. Chem. Phys. 137, 054113. (doi:10.1063/1.4742175)
    • (2012) J. Chem. Phys , vol.137 , pp. 054113
    • Zouw, F.1    Cremer, D.2
  • 170
    • 84870166439 scopus 로고    scopus 로고
    • On the isotope anomaly of nuclear quadrupole coupling in molecules
    • (doi:10.1063/1.4757568)
    • Filatov M, Zou W, Cremer D. 2012 On the isotope anomaly of nuclear quadrupole coupling in molecules. J. Chem. Phys. 137, 131102. (doi:10.1063/1.4757568)
    • (2012) J. Chem. Phys , vol.137 , pp. 131102
    • Filatov, M.1    Zou, W.2    Cremer, D.3
  • 171
    • 77956601153 scopus 로고    scopus 로고
    • Electric field gradients calculated from twocomponent relativistic density functional theory including spin-orbit coupling
    • (doi:10.1021/ct1002847)
    • Aquino F, Govind N, Autschbach J. 2010 Electric field gradients calculated from twocomponent relativistic density functional theory including spin-orbit coupling. J. Chem. Theory Comput. 6, 2669-2686. (doi:10.1021/ ct1002847)
    • (2010) J. Chem. Theory Comput , vol.6 , pp. 2669-2686
    • Aquino, F.1    Govind, N.2    Autschbach, J.3
  • 172
    • 20844452286 scopus 로고    scopus 로고
    • Calculation of electric-field gradients based on higher-order generalized Douglas-Kroll transformations
    • (doi:10.1063/1.1904589)
    • Neese F, Wolf A, Fleig T, Reiher M, Hess BA. 2005 Calculation of electric-field gradients based on higher-order generalized Douglas-Kroll transformations. J. Chem. Phys. 122, 204107. (doi:10.1063/1.1904589)
    • (2005) J. Chem. Phys , vol.122 , pp. 204107
    • Neese, F.1    Wolf, A.2    Fleig, T.3    Reiher, M.4    Hess, B.A.5
  • 173
    • 0000288732 scopus 로고    scopus 로고
    • Density functional calculations of nuclear quadrupole coupling constants in the zero-order regular approximation for relativistic effects
    • (doi:10.1063/1.481433)
    • van Lenthe E, Baerends EJ. 2000 Density functional calculations of nuclear quadrupole coupling constants in the zero-order regular approximation for relativistic effects. J. Chem. Phys. 112, 8279-8292. (doi:10.1063/1.481433)
    • (2000) J. Chem. Phys , vol.112 , pp. 8279-8292
    • Van Lenthe, E.1    Baerends, E.J.2
  • 174
    • 77958082997 scopus 로고    scopus 로고
    • Benchmarking NMR indirect nuclear spin-spin coupling constants: SOPPA, SOPPA(CC2), and SOPPA(CCSD) versus CCSD
    • (doi:10.1063/1.3483197)
    • Kjaer H, Sauer SPA, Kongsted J. 2010 Benchmarking NMR indirect nuclear spin-spin coupling constants: SOPPA, SOPPA(CC2), and SOPPA(CCSD) versus CCSD. J. Chem. Phys. 133, 144106. (doi:10.1063/1.3483197)
    • (2010) J. Chem. Phys , vol.133 , pp. 144106
    • Kjaer, H.1    Sauer, S.P.A.2    Kongsted, J.3
  • 175
    • 79955942635 scopus 로고    scopus 로고
    • Relativistic effects on the shielding of SnH2XY and PbH2XY (X, Y=F, Cl, Br and I) heavy atom-containing molecules
    • (doi:10.1007/s00214-010-0886-4)
    • Melo J, Maldonado A, Aucar G. 2011 Relativistic effects on the shielding of SnH2XY and PbH2XY (X, Y=F, Cl, Br and I) heavy atom-containing molecules. Theor. Chem. Acc. 129, 483-494. (doi:10.1007/s00214-010-0886-4)
    • (2011) Theor. Chem. Acc , vol.129 , pp. 483-494
    • Melo, J.1    Maldonado, A.2    Aucar, G.3
  • 177
    • 84870899718 scopus 로고    scopus 로고
    • Relativistic effects on nuclear magnetic shieldings of CHnX4-n and CHXYZ (X, Y, Z=H, F, Cl, Br, I)
    • (doi:10.1063/1.4768470)
    • Melo JI, Maldonado AF, Aucar GA. 2012 Relativistic effects on nuclear magnetic shieldings of CHnX4-n and CHXYZ (X, Y, Z=H, F, Cl, Br, I). J. Chem. Phys. 137, 214319. (doi:10.1063/ 1.4768470)
    • (2012) J. Chem. Phys , vol.137 , pp. 214319
    • Melo, J.I.1    Maldonado, A.F.2    Aucar, G.A.3
  • 178
    • 84857061710 scopus 로고    scopus 로고
    • NMR spectroscopic parameters of HX and Si(Sn) X4 (X=H, F, Cl, Br and I) and SnBr4-nIn model compounds
    • (doi:10.1016/j.chemphys.2011.08.020)
    • Maldonado AF, Gimenez CA, Aucar GA. 2012 NMR spectroscopic parameters of HX and Si(Sn)X4 (X=H, F, Cl, Br and I) and SnBr4-nIn model compounds. Chem. Phys. 395, 75-81. (doi:10.1016/j.chemphys.2011.08.020)
    • (2012) Chem. Phys , vol.395 , pp. 75-81
    • Maldonado, A.F.1    Gimenez, C.A.2    Aucar, G.A.3
  • 179
    • 79958093894 scopus 로고    scopus 로고
    • Relativistic effects on the nuclear magnetic resonance shielding of FX (X=F, Cl, Br, I, and At) molecular systems
    • (doi:10.1063/1.3587051)
    • Gomez SS, Aucar GA. 2011 Relativistic effects on the nuclear magnetic resonance shielding of FX (X=F, Cl, Br, I, and At) molecular systems. J. Chem. Phys. 134, 204314. (doi:10.1063/1.3587051)
    • (2011) J. Chem. Phys , vol.134 , pp. 204314
    • Gomez, S.S.1    Aucar, G.A.2
  • 180
    • 33749838646 scopus 로고
    • Magnetic interactions inmolecules and an analysis of molecular electronic charge distribution from magnetic parameters
    • (doi:10.1021/ cr60292a003)
    • Flygare WH. 1974 Magnetic interactions inmolecules and an analysis of molecular electronic charge distribution from magnetic parameters. Chem. Rev. 74, 653-687. (doi:10.1021/ cr60292a003)
    • (1974) Chem. Rev , vol.74 , pp. 653-687
    • Flygare, W.H.1
  • 181
    • 84862580435 scopus 로고    scopus 로고
    • Theoretical study of the nuclear spin-molecular rotation coupling for relativistic electrons and non-relativistic nuclei
    • (doi:10.1063/1.4721627)
    • Aucar IA, Gomez SS, Ruiz de Azua MC, Giribet CG. 2012 Theoretical study of the nuclear spin-molecular rotation coupling for relativistic electrons and non-relativistic nuclei. J. Chem. Phys. 136, 204119. (doi:10.1063/1.4721627)
    • (2012) J. Chem. Phys , vol.136 , pp. 204119
    • Aucar, I.A.1    Gomez, S.S.2    Ruiz De Azua, M.C.3    Giribet, C.G.4
  • 182
    • 84873416711 scopus 로고    scopus 로고
    • The absolute shielding constants of heavy nuclei: Resolving the enigma of the 119Sn absolute shielding
    • (doi:10.1021/jz302146m)
    • Malkin E, Komorovsky S, Repisky M, Demissie TB, Ruud K. 2013 The absolute shielding constants of heavy nuclei: resolving the enigma of the 119Sn absolute shielding. J. Phys. Chem. Lett. 4, 459-463. (doi:10.1021/jz302146m)
    • (2013) J. Phys. Chem. Lett , vol.4 , pp. 459-463
    • Malkin, E.1    Komorovsky, S.2    Repisky, M.3    Demissie, T.B.4    Ruud, K.5
  • 183
    • 81355139712 scopus 로고    scopus 로고
    • 4-component relativistic magnetically induced current density using London atomic orbitals
    • (doi:10.1039/c1cp22457c)
    • Sulzer D, Olejniczak M, Bast R, Saue T. 2011 4-component relativistic magnetically induced current density using London atomic orbitals. Phys. Chem. Chem. Phys. 13, 20 682-20 689. (doi:10.1039/c1cp22457c)
    • (2011) Phys. Chem. Chem. Phys , vol.13 , pp. 20682-20689
    • Sulzer, D.1    Olejniczak, M.2    Bast, R.3    Saue, T.4
  • 184
    • 79958108808 scopus 로고    scopus 로고
    • Relativistic four-component DFT calculations of 1H NMR chemical shifts in transition-metal hydride complexes: Unusual high-field shifts beyond the Buckingham-Stephensmodel
    • (doi:10.1021/jp202327z)
    • Hrobarik P, Hrobarikova V, Meier F, Repisky M, Komorovsky S, Kaupp M. 2011 Relativistic four-component DFT calculations of 1H NMR chemical shifts in transition-metal hydride complexes: unusual high-field shifts beyond the Buckingham-Stephensmodel. J. Phys. Chem. A 115, 5654-5659. (doi:10.1021/ jp202327z)
    • (2011) J. Phys. Chem. A , vol.115 , pp. 5654-5659
    • Hrobarik, P.1    Hrobarikova, V.2    Meier, F.3    Repisky, M.4    Komorovsky, S.5    Kaupp, M.6
  • 185
    • 84867540501 scopus 로고    scopus 로고
    • Giant spin-orbit effects on NMR shifts in diamagnetic actinide complexes: Guiding the search of uranium(VI) hydride complexes in the correct spectral range
    • (doi:10.1002/anie.201204634)
    • Hrobarik P, Hrobarikova V, Greif AH, Kaupp M. 2012 Giant spin-orbit effects on NMR shifts in diamagnetic actinide complexes: guiding the search of uranium(VI) hydride complexes in the correct spectral range. Angew. Chem. Int. Edn. 51, 10 884-10 888. (doi:10.1002/anie.201204634)
    • (2012) Angew. Chem. Int. Edn , vol.51 , pp. 10884-10888
    • Hrobarik, P.1    Hrobarikova, V.2    Greif, A.H.3    Kaupp, M.4
  • 186
    • 78650685877 scopus 로고    scopus 로고
    • 29Si DFT/NMR observation of spin-orbit effect in metallasilatrane sheds some light on the strength of the metal → silicon interaction
    • (doi:10.1002/anie.201005431)
    • Truflandier LA, Brendler E, Wagler J, Autschbach J. 2011 29Si DFT/NMR observation of spin-orbit effect in metallasilatrane sheds some light on the strength of the metal → silicon interaction. Angew. Chem. Int. Edn. 50, 255-259. (doi:10.1002/anie.201005431)
    • (2011) Angew. Chem. Int. Edn , vol.50 , pp. 255-259
    • Truflandier, L.A.1    Brendler, E.2    Wagler, J.3    Autschbach, J.4
  • 187
    • 84867086634 scopus 로고    scopus 로고
    • Atomic contributions from spin-orbit coupling to 29Si NMR chemical shifts in metallasilatrane complexes
    • (doi:10.1002/chem.201200746)
    • Autschbach J, Sutter K, Truflandier LA, Brendler E, Wagler J. 2012 Atomic contributions from spin-orbit coupling to 29Si NMR chemical shifts in metallasilatrane complexes. Chem. Eur. J. 18, 12 803-12 813. (doi:10.1002/chem.201200746)
    • (2012) Chem. Eur. J , vol.18 , pp. 12803-12813
    • Autschbach, J.1    Sutter, K.2    Truflandier, L.A.3    Brendler, E.4    Wagler, J.5
  • 188
    • 65949123561 scopus 로고    scopus 로고
    • Magnetic anisotropy from density functional calculations. Comparison of different approaches: Mn12O12 acetate as a test case
    • (doi:10.1063/1.3134430)
    • van Wüllen C. 2009 Magnetic anisotropy from density functional calculations. Comparison of different approaches: Mn12O12 acetate as a test case. J. Chem. Phys. 130, 194109. (doi:10.1063/1.3134430)
    • (2009) J. Chem. Phys , vol.130 , pp. 194109
    • Van Wüllen, C.1
  • 189
    • 0004187291 scopus 로고    scopus 로고
    • PhD thesis, Vrije Universiteit Amsterdam, The Netherlands
    • van Lenthe E. 1996 The ZORA equation. PhD thesis, Vrije Universiteit Amsterdam, The Netherlands.
    • (1996) The ZORA Equation
    • Van Lenthe, E.1
  • 190
    • 2442461971 scopus 로고    scopus 로고
    • The accuracy of the hyperfine integrals in relativistic NMR computations based on the zeroth-order regular approximation
    • (doi:10.1007/s00214-003-0561-0)
    • Autschbach J. 2004 The accuracy of the hyperfine integrals in relativistic NMR computations based on the zeroth-order regular approximation. Theor. Chem. Acc. 112, 52-57. (doi:10.1007/s00214-003-0561-0)
    • (2004) Theor. Chem. Acc , vol.112 , pp. 52-57
    • Autschbach, J.1
  • 191
    • 84863653848 scopus 로고    scopus 로고
    • A comparison of two-component and fourcomponent approaches for calculations of spin-spin coupling constants and NMR shielding constants of transition metal cyanides
    • (doi:10.1063/1.4730944)
    • Wodynski A, Repisky M, Pecul M. 2012 A comparison of two-component and fourcomponent approaches for calculations of spin-spin coupling constants and NMR shielding constants of transition metal cyanides. J. Chem. Phys. 137, 014311. (doi:10.1063/1.4730944)
    • (2012) J. Chem. Phys , vol.137 , pp. 014311
    • Wodynski, A.1    Repisky, M.2    Pecul, M.3
  • 192
    • 0000204404 scopus 로고    scopus 로고
    • Density functional calculations of nuclear magnetic shieldings using the zeroth-order regular approximation (ZORA) for relativistic effects: ZORA nuclear magnetic resonance
    • (doi:10.1063/1.478680)
    • Wolff SK, Ziegler T, van Lenthe E, Baerends EJ. 1999 Density functional calculations of nuclear magnetic shieldings using the zeroth-order regular approximation (ZORA) for relativistic effects: ZORA nuclear magnetic resonance. J. Chem. Phys. 110, 7689-7698. (doi:10.1063/1.478680)
    • (1999) J. Chem. Phys , vol.110 , pp. 7689-7698
    • Wolff, S.K.1    Ziegler, T.2    Van Lenthe, E.3    Baerends, E.J.4
  • 193
    • 70350413497 scopus 로고    scopus 로고
    • Implementation of a hybrid DFT method for calculating NMR shieldings using Slater-type orbitals with spin-orbital coupling included. Applications to 187Os, 195Pt, and 13C in heavy-metal complexes
    • (doi:10.1021/jp901991s)
    • Krykunov M, Ziegler T, van Lenthe E. 2009 Implementation of a hybrid DFT method for calculating NMR shieldings using Slater-type orbitals with spin-orbital coupling included. Applications to 187Os, 195Pt, and 13C in heavy-metal complexes. J. Phys. Chem. A 113, 11 495-11 500. (doi:10.1021/ jp901991s)
    • (2009) J. Phys. Chem. A , vol.113 , pp. 11495-11500
    • Krykunov, M.1    Ziegler, T.2    Van Lenthe, E.3
  • 194
    • 77952364970 scopus 로고    scopus 로고
    • The calculation of NMR chemical shifts in periodic systems based on gauge including atomic orbitals and density functional theory
    • (doi:10.1021/ct100046a)
    • Skachkov D, Krykunov M, Kadantsev E, Ziegler T. 2010 The calculation of NMR chemical shifts in periodic systems based on gauge including atomic orbitals and density functional theory. J. Chem. Theory Comput. 6, 1650-1659. (doi:10.1021/ct100046a)
    • (2010) J. Chem. Theory Comput , vol.6 , pp. 1650-1659
    • Skachkov, D.1    Krykunov, M.2    Kadantsev, E.3    Ziegler, T.4
  • 195
    • 80053935109 scopus 로고    scopus 로고
    • Scalar relativistic computations of nuclear magnetic shielding and g-shifts with the zeroth-order regular approximation and range-separated hybrid density functionals
    • (doi:10.1021/ct200408j)
    • Aquino F, Govind N, Autschbach J. 2011 Scalar relativistic computations of nuclear magnetic shielding and g-shifts with the zeroth-order regular approximation and range-separated hybrid density functionals. J. Chem. Theory Comput. 7, 3278-3292. (doi:10.1021/ct200408j)
    • (2011) J. Chem. Theory Comput , vol.7 , pp. 3278-3292
    • Aquino, F.1    Govind, N.2    Autschbach, J.3
  • 196
    • 84962427841 scopus 로고    scopus 로고
    • Calculation of 19F NMR chemical shifts in uranium complexes using density functional theory and pseudopotentials
    • (doi:10.1016/j.chemphys.2004.10.041)
    • Straka M, Kaupp M. 2005 Calculation of 19F NMR chemical shifts in uranium complexes using density functional theory and pseudopotentials. Chem. Phys. 311, 45-56. (doi:10.1016/j.chemphys.2004.10.041)
    • (2005) Chem. Phys , vol.311 , pp. 45-56
    • Straka, M.1    Kaupp, M.2
  • 197
    • 13144293117 scopus 로고    scopus 로고
    • Density functional calculations of 19F and 235U NMR chemical shifts in uranium(VI) chloride fluorides UF6-nCln: Influence of the relativistic approximation and role of the exchange-correlation functional
    • (doi:10.1002/qua.20350)
    • Schreckenbach G. 2005 Density functional calculations of 19F and 235U NMR chemical shifts in uranium(VI) chloride fluorides UF6-nCln: influence of the relativistic approximation and role of the exchange-correlation functional. Int. J. Quantum Chem. 101, 372-380. (doi:10.1002/qua.20350)
    • (2005) Int. J. Quantum Chem , vol.101 , pp. 372-380
    • Schreckenbach, G.1
  • 198
    • 0000402278 scopus 로고    scopus 로고
    • Finite nuclear charge density distributions in electronic structure calculations for atoms and molecules
    • (doi:10.1016/S0370-1573(00)00007-7)
    • Andrae D. 2000 Finite nuclear charge density distributions in electronic structure calculations for atoms and molecules. Phys. Rep. 336, 413-527. (doi:10.1016/S0370-1573(00)00007-7)
    • (2000) Phys. Rep , vol.336 , pp. 413-527
    • Andrae, D.1
  • 199
    • 78650984847 scopus 로고    scopus 로고
    • Modeling of heavy-atom-ligand NMR spin-spin coupling in solution: Molecular dynamics study and natural bond orbital analysis of Hg-C coupling constants
    • (doi:10.1002/chem.201001343)
    • Zheng S, Autschbach J. 2011 Modeling of heavy-atom-ligand NMR spin-spin coupling in solution: molecular dynamics study and natural bond orbital analysis of Hg-C coupling constants. Chem. Eur. J. 17, 161-173. (doi:10.1002/chem. 201001343)
    • (2011) Chem. Eur. J , vol.17 , pp. 161-173
    • Zheng, S.1    Autschbach, J.2
  • 200
    • 59349084689 scopus 로고    scopus 로고
    • Restricted magnetically balanced basis applied for relativistic calculations of indirect nuclear spin-spin coupling tensors in the matrix Dirac-Kohn-Sham framework
    • (doi:10.1016/ j.chemphys.2008.10.037)
    • Repisky M, Komorovsky S, Malkina OL, Malkin VG. 2009 Restricted magnetically balanced basis applied for relativistic calculations of indirect nuclear spin-spin coupling tensors in the matrix Dirac-Kohn-Sham framework. Chem. Phys. 356, 236-242. (doi:10.1016/ j.chemphys.2008.10.037)
    • (2009) Chem. Phys , vol.356 , pp. 236-242
    • Repisky, M.1    Komorovsky, S.2    Malkina, O.L.3    Malkin, V.G.4
  • 201
    • 69949181553 scopus 로고    scopus 로고
    • Magnitude of finite nucleus size effects in relativistic density functional computations of indirect NMR nuclear spin-spin coupling tensors
    • (doi:10.1002/cphc.200900271)
    • Autschbach J. 2009 Magnitude of finite nucleus size effects in relativistic density functional computations of indirect NMR nuclear spin-spin coupling tensors. ChemPhysChem 10, 2274-2283. (doi:10.1002/cphc.200900271)
    • (2009) ChemPhysChem , vol.10 , pp. 2274-2283
    • Autschbach, J.1
  • 202
    • 51349133992 scopus 로고    scopus 로고
    • Two-component relativistic hybrid density functional computations of nuclear spin-spin coupling tensors using Slater-type basis sets and density-fitting techniques
    • (doi:10.1063/1.2969100)
    • Autschbach J. 2008 Two-component relativistic hybrid density functional computations of nuclear spin-spin coupling tensors using Slater-type basis sets and density-fitting techniques. J. Chem. Phys. 129, 094105. (doi:10.1063/1. 2969100)
    • (2008) J. Chem. Phys , vol.129 , pp. 094105
    • Autschbach, J.1
  • 203
    • 66749163108 scopus 로고    scopus 로고
    • (doi:10.1063/1.3131724)
    • Erratum J. Chem. Phys. 2009 130, 209901. (doi:10.1063/1.3131724)
    • (2009) J. Chem. Phys , vol.130 , pp. 209901
  • 204
    • 77950180602 scopus 로고    scopus 로고
    • Relativistic zeroth-order regular approximation combined with nonhybrid and hybrid density functional theory: Performance for NMR indirect nuclear spin-spin coupling in heavy metal compounds
    • (doi:10.1021/ct900535d)
    • Moncho S, Autschbach J. 2010 Relativistic zeroth-order regular approximation combined with nonhybrid and hybrid density functional theory: performance for NMR indirect nuclear spin-spin coupling in heavy metal compounds. J. Chem. Theory Comput. 6, 223-234. (doi:10.1021/ct900535d)
    • (2010) J. Chem. Theory Comput , vol.6 , pp. 223-234
    • Moncho, S.1    Autschbach, J.2
  • 205
    • 34548855701 scopus 로고    scopus 로고
    • Molecular dynamics computational study of the 199Hg-199Hg NMR spin-spin coupling constants of [Hg-Hg-Hg]2+ in SO2 solution
    • (doi:10.1021/ja073166+)
    • Autschbach J, Sterzel M. 2007 Molecular dynamics computational study of the 199Hg-199Hg NMR spin-spin coupling constants of [Hg-Hg-Hg]2+ in SO2 solution. J. Am. Chem. Soc. 129, 11 093-11 099. (doi:10.1021/ja073166+)
    • (2007) J. Am. Chem. Soc , vol.129 , pp. 11093-11099
    • Autschbach, J.1    Sterzel, M.2
  • 206
    • 68349094065 scopus 로고    scopus 로고
    • Relativistic hybrid density functional calculations of indirect nuclear spin-spin coupling tensors-comparison with experiment for diatomic alkali metal halides
    • (doi:10.1139/V09-040)
    • Bryce D, Autschbach J. 2009 Relativistic hybrid density functional calculations of indirect nuclear spin-spin coupling tensors-comparison with experiment for diatomic alkali metal halides. Can. J. Chem. 87, 927-941. (doi:10.1139/V09-040)
    • (2009) Can. J. Chem , vol.87 , pp. 927-941
    • Bryce, D.1    Autschbach, J.2
  • 207
    • 84866953059 scopus 로고    scopus 로고
    • Nuclear charge-distribution effects on the NMR spectroscopy parameters
    • (doi:10.1063/1.4729253)
    • Maldonado AF, Gimenez CA, Aucar GA. 2012 Nuclear charge-distribution effects on the NMR spectroscopy parameters. J. Chem. Phys. 136, 224110. (doi:10.1063/1.4729253)
    • (2012) J. Chem. Phys , vol.136 , pp. 224110
    • Maldonado, A.F.1    Gimenez, C.A.2    Aucar, G.A.3
  • 208
    • 79957615780 scopus 로고    scopus 로고
    • Zero-field splittings from density functional calculations: Analysis and improvement of known methods
    • (doi:10.1063/1.3590362)
    • Schmitt S, Jost P, van Wüllen C. 2011 Zero-field splittings from density functional calculations: analysis and improvement of known methods. J. Chem. Phys. 134, 194113. (doi:10.1063/1.3590362)
    • (2011) J. Chem. Phys , vol.134 , pp. 194113
    • Schmitt, S.1    Jost, P.2    Van Wüllen, C.3
  • 209
    • 33746931183 scopus 로고    scopus 로고
    • Calculation of zero-field splitting parameters: Comparison of a two-component noncolinear spin-density-functional method and a one-component perturbational approach
    • (doi:10.1063/1.2227382)
    • Reviakine R, Arbuznikov AV, Tremblay J-C, Remenyi C, Malkina OL, Malkin VG, Kaupp M. 2006 Calculation of zero-field splitting parameters: comparison of a two-component noncolinear spin-density-functional method and a one-component perturbational approach. J. Chem. Phys. 125, 054110. (doi:10.1063/1.2227382)
    • (2006) J. Chem. Phys , vol.125 , pp. 054110
    • Reviakine, R.1    Arbuznikov, A.V.2    Tremblay, J.-C.3    Remenyi, C.4    Malkina, O.L.5    Malkin, V.G.6    Kaupp, M.7
  • 210
    • 79955937201 scopus 로고    scopus 로고
    • Calculation of molecular g-tensors using the zerothorder regular approximation and density functional theory: Expectation value versus linear response approaches
    • (doi:10.1007/s00214-010-0880-x)
    • Autschbach J, Pritchard B. 2011 Calculation of molecular g-tensors using the zerothorder regular approximation and density functional theory: expectation value versus linear response approaches. Theor. Chem. Acc. 129, 453-466. (doi:10.1007/s00214-010-0880-x)
    • (2011) Theor. Chem. Acc , vol.129 , pp. 453-466
    • Autschbach, J.1    Pritchard, B.2
  • 211
    • 84859595830 scopus 로고    scopus 로고
    • Analytic calculation of isotropic hyperfine structure constants using the normalized elimination of the small component formalism
    • (doi:10.1021/jp301224u)
    • Filatov M, Zou W, Cremer D. 2012 Analytic calculation of isotropic hyperfine structure constants using the normalized elimination of the small component formalism. J. Phys. Chem. A 116, 3481-3486. (doi:10.1021/jp301224u)
    • (2012) J. Phys. Chem. A , vol.116 , pp. 3481-3486
    • Filatov, M.1    Zou, W.2    Cremer, D.3
  • 212
    • 0034498924 scopus 로고    scopus 로고
    • Nuclear spin-spin coupling constants from regular approximate relativistic density functional calculations. II. Spin-orbit coupling effects and anisotropies
    • (doi:10.1063/1.1321310)
    • Autschbach J, Ziegler T. 2000 Nuclear spin-spin coupling constants from regular approximate relativistic density functional calculations. II. Spin-orbit coupling effects and anisotropies. J. Chem. Phys. 113, 9410-9418. (doi:10.1063/1.1321310)
    • (2000) J. Chem. Phys , vol.113 , pp. 9410-9418
    • Autschbach, J.1    Ziegler, T.2
  • 213
    • 84857090409 scopus 로고    scopus 로고
    • Scalar relativistic computations and localized orbital analysis of nuclear hyperfine coupling and paramagnetic NMR chemical shifts
    • (doi:10.1021/ct2008507)
    • Aquino F, Pritchard B, Autschbach J. 2012 Scalar relativistic computations and localized orbital analysis of nuclear hyperfine coupling and paramagnetic NMR chemical shifts. J. Chem. Theory Comput. 8, 598-609. (doi:10.1021/ct2008507)
    • (2012) J. Chem. Theory Comput , vol.8 , pp. 598-609
    • Aquino, F.1    Pritchard, B.2    Autschbach, J.3
  • 214
    • 84876011952 scopus 로고    scopus 로고
    • Relativistic density functional calculations of hyperfine coupling with variational versus perturbational treatment of spin-orbit coupling
    • (doi:10.1021/ct301114z)
    • Verma P, Autschbach J. 2013 Relativistic density functional calculations of hyperfine coupling with variational versus perturbational treatment of spin-orbit coupling. J. Chem. Theory Comput. 9, 1932-1948. (doi:10.1021/ ct301114z)
    • (2013) J. Chem. Theory Comput , vol.9 , pp. 1932-1948
    • Verma, P.1    Autschbach, J.2
  • 215
    • 79551600393 scopus 로고    scopus 로고
    • Effects of finite size nuclei in relativistic four-component calculations of hyperfine structure
    • (doi:10.1063/1.3526263)
    • Malkin E, Repisky M, Komorovsky S, Mach P, Malkina OL, Malkin VG. 2011 Effects of finite size nuclei in relativistic four-component calculations of hyperfine structure. J. Chem. Phys. 134, 044111. (doi:10.1063/1.3526263)
    • (2011) J. Chem. Phys , vol.134 , pp. 044111
    • Malkin, E.1    Repisky, M.2    Komorovsky, S.3    Mach, P.4    Malkina, O.L.5    Malkin, V.G.6
  • 217
    • 0002917425 scopus 로고
    • The influence of nuclear structure on the hyperfine structure of heavy elements
    • (doi:10.1103/PhysRev.77.94)
    • Bohr A, Weisskopf VF. 1950 The influence of nuclear structure on the hyperfine structure of heavy elements. Phys. Rev. 77, 94-98. (doi:10.1103/PhysRev.77.94)
    • (1950) Phys. Rev , vol.77 , pp. 94-98
    • Bohr, A.1    Weisskopf, V.F.2
  • 218
    • 36149026694 scopus 로고
    • Nuclear magnetic moments and atomic hyperfine structure
    • (doi:10.1103/PhysRev.81.331)
    • Bohr A. 1951 Nuclear magnetic moments and atomic hyperfine structure. Phys. Rev. 81, 331-335. (doi:10.1103/PhysRev.81.331)
    • (1951) Phys. Rev , vol.81 , pp. 331-335
    • Bohr, A.1
  • 219
    • 0000486981 scopus 로고
    • The isotope shift in hyperfine structure
    • (doi:10.1103/PhysRev.41.459)
    • Rosenthal JE, Breit G. 1932 The isotope shift in hyperfine structure. Phys. Rev. 41, 459-470. (doi:10.1103/PhysRev.41.459)
    • (1932) Phys. Rev , vol.41 , pp. 459-470
    • Rosenthal, J.E.1    Breit, G.2
  • 220
    • 77950516763 scopus 로고    scopus 로고
    • Relativistic fourcomponent calculations of electronic g-tensors in the matrix Dirac-Kohn-Sham framework
    • (doi:10.1016/j.cplett.2010.01.077)
    • Repisky M, Komorovsky S, Malkin E, Malkina OL, Malkin VG. 2010 Relativistic fourcomponent calculations of electronic g-tensors in the matrix Dirac-Kohn-Sham framework. Chem. Phys. Lett. 488, 94-97. (doi:10.1016/j.cplett. 2010.01.077)
    • (2010) Chem. Phys. Lett , vol.488 , pp. 94-97
    • Repisky, M.1    Komorovsky, S.2    Malkin, E.3    Malkina, O.L.4    Malkin, V.G.5
  • 221
    • 33644609782 scopus 로고    scopus 로고
    • Resolution of identity Dirac-Kohn-Sham method using the large component only: Calculations of g-tensor and hyperfine tensor
    • (doi:10.1063/1.2173995)
    • Komorovsky S, Repisky M, Malkina OL, Malkin VG, Malkin I, Kaupp M. 2006 Resolution of identity Dirac-Kohn-Sham method using the large component only: calculations of g-tensor and hyperfine tensor. J. Chem. Phys. 124, 084108. (doi:10.1063/1.2173995)
    • (2006) J. Chem. Phys , vol.124 , pp. 084108
    • Komorovsky, S.1    Repisky, M.2    Malkina, O.L.3    Malkin, V.G.4    Malkin, I.5    Kaupp, M.6
  • 222
    • 79955942487 scopus 로고    scopus 로고
    • Assessment of higher-order spin-orbit effects on electronic g-tensors of d1 transition-metal complexes by relativistic two- and four-component methods
    • (doi:10.1007/ s00214-011-0951-7)
    • Hrobarik P, Repisky M, Komorovsky S, Hrobarikova V, Kaupp M. 2011 Assessment of higher-order spin-orbit effects on electronic g-tensors of d1 transition-metal complexes by relativistic two- and four-component methods. Theor. Chem. Acc. 129, 715-725. (doi:10.1007/ s00214-011-0951-7)
    • (2011) Theor. Chem. Acc , vol.129 , pp. 715-725
    • Hrobarik, P.1    Repisky, M.2    Komorovsky, S.3    Hrobarikova, V.4    Kaupp, M.5
  • 223
    • 84873652880 scopus 로고    scopus 로고
    • Variational versus perturbational treatment of spin-orbit coupling in relativistic density functional calculations of electronic g-factors: Effects from spin-polarization and exact exchange
    • (doi:10.1021/ ct3009864)
    • Verma P, Autschbach J. 2013 Variational versus perturbational treatment of spin-orbit coupling in relativistic density functional calculations of electronic g-factors: effects from spin-polarization and exact exchange. J. Chem. Theory Comput. 9, 1052-1067. (doi:10.1021/ ct3009864)
    • (2013) J. Chem. Theory Comput , vol.9 , pp. 1052-1067
    • Verma, P.1    Autschbach, J.2
  • 224
    • 0001368303 scopus 로고    scopus 로고
    • Density functional calculations of molecular g-tensors in the zero-order regular approximation for relativistic effects
    • (doi:10.1063/1.474590)
    • van Lenthe E, Wormer PES, van der Avoird A. 1997 Density functional calculations of molecular g-tensors in the zero-order regular approximation for relativistic effects. J. Chem. Phys. 107, 2488-2498. (doi:10.1063/1.474590)
    • (1997) J. Chem. Phys , vol.107 , pp. 2488-2498
    • Van Lenthe, E.1    Wormer, P.E.S.2    Van Der Avoird, A.3
  • 225
    • 67449102619 scopus 로고    scopus 로고
    • Optical and magnetic properties of the 5f1 AnXq- 6 series: A theoretical study
    • (doi:10.1063/1.3124193)
    • Notter F-P, Bolvin H. 2009 Optical and magnetic properties of the 5f1 AnXq- 6 series: a theoretical study. J. Chem. Phys. 130, 184310. (doi:10.1063/1.3124193)
    • (2009) J. Chem. Phys , vol.130 , pp. 184310
    • Notter, F.-P.1    Bolvin, H.2
  • 226
    • 33745991557 scopus 로고    scopus 로고
    • An alternative approach to the g-matrix: Theory and applications
    • (doi:10.1002/cphc.200600051)
    • Bolvin H. 2006 An alternative approach to the g-matrix: theory and applications. ChemPhysChem 7, 1575-1589. (doi:10.1002/cphc.200600051)
    • (2006) ChemPhysChem , vol.7 , pp. 1575-1589
    • Bolvin, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.