메뉴 건너뛰기




Volumn 121, Issue 23, 2004, Pages 11599-11613

HEAT: High accuracy extrapolated ab initio thermochemistry

Author keywords

[No Author keywords available]

Indexed keywords

BOND DISTANCES; MOLECULAR SPECIES; STRUCTURAL PARAMETERS; THERMOCHEMISTRY;

EID: 11044227833     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1811608     Document Type: Article
Times cited : (752)

References (113)
  • 1
    • 11044236704 scopus 로고    scopus 로고
    • the special issues of
    • See, for example, the special issues of Spectrochim. Acta 58, 599-898 (12002).
    • (2002) Spectrochim. Acta , vol.58 , pp. 599-898
  • 6
    • 0000626886 scopus 로고    scopus 로고
    • NIST-JANAF Thermochemical Tables, 4th ed.
    • Well-known tabulations of molecular enthalpies of formation include: M. W. Chase, Jr., in NIST-JANAF Thermochemical Tables, 4th ed. Journal of Physical Chemical Reference Data, Monograph Vol. 9 (1998). p. 1; J. D. Cox, D. D. Wagman, and V. A. Medvedev, CODATA Key Values for Thermodynamics (Hemisphere Publishing Corp., New York, 1989); L. V. Gurvich, I. V. Veyts, and C. B. Alcock, Thermadynamic Properties of Individual Substances. 4th ed. (Hemisphere Publishing Company, New York, 1989).
    • (1998) Journal of Physical Chemical Reference Data, Monograph , vol.9 , pp. 1
    • Chase Jr., M.W.1
  • 7
    • 0003552265 scopus 로고
    • Hemisphere Publishing Corp., New York
    • Well-known tabulations of molecular enthalpies of formation include: M. W. Chase, Jr., in NIST-JANAF Thermochemical Tables, 4th ed. Journal of Physical Chemical Reference Data, Monograph Vol. 9 (1998). p. 1; J. D. Cox, D. D. Wagman, and V. A. Medvedev, CODATA Key Values for Thermodynamics (Hemisphere Publishing Corp., New York, 1989); L. V. Gurvich, I. V. Veyts, and C. B. Alcock, Thermadynamic Properties of Individual Substances. 4th ed. (Hemisphere Publishing Company, New York, 1989).
    • (1989) CODATA Key Values for Thermodynamics
    • Cox, J.D.1    Wagman, D.D.2    Medvedev, V.A.3
  • 8
    • 0003878179 scopus 로고
    • Hemisphere Publishing Company, New York
    • Well-known tabulations of molecular enthalpies of formation include: M. W. Chase, Jr., in NIST-JANAF Thermochemical Tables, 4th ed. Journal of Physical Chemical Reference Data, Monograph Vol. 9 (1998). p. 1; J. D. Cox, D. D. Wagman, and V. A. Medvedev, CODATA Key Values for Thermodynamics (Hemisphere Publishing Corp., New York, 1989); L. V. Gurvich, I. V. Veyts, and C. B. Alcock, Thermadynamic Properties of Individual Substances. 4th ed. (Hemisphere Publishing Company, New York, 1989).
    • (1989) Thermadynamic Properties of Individual Substances. 4th Ed.
    • Gurvich, L.V.1    Veyts, I.V.2    Alcock, C.B.3
  • 14
    • 11044231711 scopus 로고    scopus 로고
    • private communication
    • Before the development of the Active Thermochemical Tables, atomic enthalpies of formation for O and N were also not known precisely. However, uncertainties in these values have been dramatically reduced in the ATcT approach, B. Ruscic (private communication).
    • Ruscic, B.1
  • 24
    • 11044227974 scopus 로고    scopus 로고
    • note
    • The reader is reminded that isodesmic reactions are those which would be thermoneutral in the limit that additivity of "bond energies" gave a precise picture of chemical thermodynamics.
  • 25
    • 11044233356 scopus 로고    scopus 로고
    • note
    • Notable in this regard are the G(aussian) n (n= 1, 2, and 3) family of methods developed by Pople and co-workers [EC. Raghavachari and L. A. Curtiss in Ref. 20]; the W(eizmann) n (n = 1, 2, and 3) methods of Martin and co-workers [Ref. 17 (W1); Ref. 11 (W2); Ref. 25 (W3)]; and the CBS methods of Petersson [G. A. Petersson, in Ref. 20]. A related approach is the focal-point strategy advocated by Allen and collaborators (Ref. 24); see Ref. 10 for a recent example.
  • 29
    • 11044221819 scopus 로고    scopus 로고
    • note
    • An exception is our calculation of spin-orbit coupling, which uses a non-size-extensive approach.
  • 30
    • 11044227527 scopus 로고    scopus 로고
    • note
    • Throughout the text, the term "enthalpy of formation" refers to the difference in ground-state energies, i.e., the enthalpy of formation at 0 K.
  • 32
    • 0346879006 scopus 로고
    • R. D. Cowan and M. Griffin, J. Opt. Soc. Am. 66, 1010 (1976); R. L. Martin, J. Phys. Chem. 87, 750 (1983).
    • (1983) J. Phys. Chem. , vol.87 , pp. 750
    • Martin, R.L.1
  • 33
    • 11044221072 scopus 로고    scopus 로고
    • note
    • As is customary in the quantum chemistry world, the second row of the periodic table is taken to be that containing Li, Be, B, C, N, O, F, and Ne.
  • 38
    • 11044220037 scopus 로고    scopus 로고
    • note
    • -1.
  • 41
    • 36549092221 scopus 로고
    • J. Noga and R. J. Bartlett, J. Chem. Phys. 86, 7041 (1987); G. E. Scuseria and H. F. Schaefer, Chem. Phys. Lett. 132, 382 (1988); J. D. Watts and R. J. Bartlett, J. Chem. Phys. 93, 6104 (1993).
    • (1987) J. Chem. Phys. , vol.86 , pp. 7041
    • Noga, J.1    Bartlett, R.J.2
  • 42
    • 0004436739 scopus 로고
    • J. Noga and R. J. Bartlett, J. Chem. Phys. 86, 7041 (1987); G. E. Scuseria and H. F. Schaefer, Chem. Phys. Lett. 132, 382 (1988); J. D. Watts and R. J. Bartlett, J. Chem. Phys. 93, 6104 (1993).
    • (1988) Chem. Phys. Lett. , vol.132 , pp. 382
    • Scuseria, G.E.1    Schaefer, H.F.2
  • 43
    • 36549097248 scopus 로고
    • J. Noga and R. J. Bartlett, J. Chem. Phys. 86, 7041 (1987); G. E. Scuseria and H. F. Schaefer, Chem. Phys. Lett. 132, 382 (1988); J. D. Watts and R. J. Bartlett, J. Chem. Phys. 93, 6104 (1993).
    • (1993) J. Chem. Phys. , vol.93 , pp. 6104
    • Watts, J.D.1    Bartlett, R.J.2
  • 44
    • 0000639603 scopus 로고
    • S. A. Kucharski and R. J. Bartlett, Theor. Chim. Acta 80, 387 (1991); J. Chem. Phys. 97, 4282 (1992); N. Oliphant and L. Adamowicz, ibid. 94, 1229 (1991).
    • (1991) Theor. Chim. Acta , vol.80 , pp. 387
    • Kucharski, S.A.1    Bartlett, R.J.2
  • 45
    • 0001676581 scopus 로고
    • S. A. Kucharski and R. J. Bartlett, Theor. Chim. Acta 80, 387 (1991); J. Chem. Phys. 97, 4282 (1992); N. Oliphant and L. Adamowicz, ibid. 94, 1229 (1991).
    • (1992) J. Chem. Phys. , vol.97 , pp. 4282
  • 46
    • 0000314129 scopus 로고
    • S. A. Kucharski and R. J. Bartlett, Theor. Chim. Acta 80, 387 (1991); J. Chem. Phys. 97, 4282 (1992); N. Oliphant and L. Adamowicz, ibid. 94, 1229 (1991).
    • (1991) J. Chem. Phys. , vol.94 , pp. 1229
    • Oliphant, N.1    Adamowicz, L.2
  • 47
    • 11044234946 scopus 로고    scopus 로고
    • note
    • OH= 0.96798 Å.
  • 49
    • 0001869309 scopus 로고
    • edited by A. Domenicano and I. Hargittai (Oxford University Press, Oxford)
    • K. Kuchitsu, in Accurate Molecular Structures, edited by A. Domenicano and I. Hargittai (Oxford University Press, Oxford, 1992), pp. 14-46.
    • (1992) Accurate Molecular Structures , pp. 14-46
    • Kuchitsu, K.1
  • 55
    • 11044225085 scopus 로고    scopus 로고
    • note
    • It can be shown that the atomic correlation energy converges to the exact result according to Eq. (6), if X is defined such that it corresponds to a basis set in which sets of orbitals associated with all angular momenta up to and including l (=0 for s, 1, for p, etc.) arc saturated. Use of this formula for molecules stands upon a rather flimsy theoretical foundation in the first place, due to the lack of spherical symmetry. It is however an even more extreme (albeit widely used) approximation to treat a basis set such as aug-cc-pCVTZ as though it is saturated with / functions for first-row atoms, since it has but two/functions. Nevertheless, extrapolation schemes based on the formula work well in practice and seem to be as good as any others that have been advocated for this purpose.
  • 57
    • 11044233860 scopus 로고    scopus 로고
    • note
    • -1.
  • 68
    • 11044220364 scopus 로고    scopus 로고
    • note
    • -1.
  • 69
    • 11044230172 scopus 로고    scopus 로고
    • note
    • ZPE contribution was obtained at the ROHF/CCSD(T) level with the cc-pVQZ basis set, at the corresponding equilibrium internuclear distances of 1.15040; 1.20839 (CH), and 1.062 14 (CO); 1.27090, 1.171 85, and 1.351 09 A, respectively]. All other contributions to the HEAT energy were obtained with UHF reference functions.
  • 70
    • 0001136801 scopus 로고
    • edited by K. N. Rao and C. W. Matthews (Academic. New York)
    • I. M. Mills, in Modern Spectroscopy: Modern Research, edited by K. N. Rao and C. W. Matthews (Academic. New York, 1972), pp. 115-140.
    • (1972) Modern Spectroscopy: Modern Research , pp. 115-140
    • Mills, I.M.1
  • 74
    • 11044238718 scopus 로고
    • edited by S. Flügge (Springer, Berlin)
    • H. H. Nielsen, in Handbuch der Physik, edited by S. Flügge (Springer, Berlin, 1959), Vol. 37, Part 1, p. 171. H. H. Nielsen, Rev. Mod. Phys. 23, 90 (1951).
    • (1959) Handbuch der Physik , vol.37 , Issue.PART 1 , pp. 171
    • Nielsen, H.H.1
  • 75
    • 0002899294 scopus 로고
    • H. H. Nielsen, in Handbuch der Physik, edited by S. Flügge (Springer, Berlin, 1959), Vol. 37, Part 1, p. 171. H. H. Nielsen, Rev. Mod. Phys. 23, 90 (1951).
    • (1951) Rev. Mod. Phys. , vol.23 , pp. 90
    • Nielsen, H.H.1
  • 77
    • 84860061255 scopus 로고    scopus 로고
    • J. Vázquez and J. F. Stanton (unpublished)
    • 0, but they are of no significance for the hydrogen peroxide example addressed later in this paper.
  • 82
    • 77956744340 scopus 로고    scopus 로고
    • P. Pyykkö, Adv. Quantum Chem. 11, 353 (1978); P. Pyykkö, Chem. Rev. (Washington, D.C.) 88, 563 (1988); K. Balasubramanian, Relativistic Effects in Chemistry, Part A: Theory and Techniques and Part B: Applications (Wiley, New York, 1997).
    • (1978) Adv. Quantum Chem. , vol.11 , pp. 353
    • Pyykkö, P.1
  • 83
    • 0038218089 scopus 로고
    • P. Pyykkö, Adv. Quantum Chem. 11, 353 (1978); P. Pyykkö, Chem. Rev. (Washington, D.C.) 88, 563 (1988); K. Balasubramanian, Relativistic Effects in Chemistry, Part A: Theory and Techniques and Part B: Applications (Wiley, New York, 1997).
    • (1988) Chem. Rev. (Washington, D.C.) , vol.88 , pp. 563
    • Pyykkö, P.1
  • 86
    • 84860061253 scopus 로고    scopus 로고
    • private communication
    • R. M. Pitzer (private communication), see also http://www.chemistry.ohio- state.edu/pitzer
    • Pitzer, R.M.1
  • 94
    • 11044226868 scopus 로고    scopus 로고
    • note
    • x(T) analysis would be interesting in this context, but is beyond the scope of this initial presentation and study of the HEAT approach.8
  • 97
    • 11044233357 scopus 로고    scopus 로고
    • note
    • -1). These values have considerably smaller error bars than those from the CODATA compilation, and have been chosen in this work for that reason.
  • 98
    • 11044237432 scopus 로고    scopus 로고
    • note
    • -1) for carbon.
  • 99
    • 9144228826 scopus 로고    scopus 로고
    • edited by M. Parashar (Springer, Berlin)
    • The idea of the Active Thermochemical Tables is presented in detail in: G. von Lasrewski, B. Ruscic, P. Wagstrom et al., in Lecture Notes in Computer Science, edited by M. Parashar (Springer, Berlin, 2002), Vol. 2536, pp. 25-38.
    • (2002) Lecture Notes in Computer Science , vol.2536 , pp. 25-38
    • Von Lasrewski, G.1    Ruscic, B.2    Wagstrom, P.3
  • 101
    • 11044220036 scopus 로고    scopus 로고
    • McGraw-Hill 2005 Yearbook of Science and Technology (McGraw-Hill. New York)
    • A very basic description of the Active Thermochemical Tables is also scheduled to appear as: B. Ruscic; in Active Thermochemical Tables, McGraw-Hill 2005 Yearbook of Science and Technology (McGraw-Hill. New York, 2004).
    • (2004) Active Thermochemical Tables
    • Ruscic, B.1
  • 102
    • 11044223791 scopus 로고    scopus 로고
    • private communication
    • B. Ruscic (private communication).
    • Ruscic, B.1
  • 103
    • 11044233859 scopus 로고    scopus 로고
    • note
    • -1 below the value in Table I.
  • 105
    • 11044238089 scopus 로고    scopus 로고
    • note
    • One could even question why diffuse functions are used in the HEAT approach. If indeed the extrapolation formulas gave the correct result for any sequence of hierarchical basis sets (cc-pCVXZ or aug-cc-pCVXZ), then the use of diffuse functions in the HEAT method would offer no benefit whatsoever. However, the extrapolation formulas are essentially empirical in nature (see Ref. 48). Also, if diffuse functions are of importance, then the sequence of basis sets containing them should converge to the exact result more rapidly than that which omits them.
  • 108
    • 0001610802 scopus 로고    scopus 로고
    • S. A. Kucharski and R. J. Bartlett, Chem. Phys. Lett. 158, 550 (1989); J. Chem. Phys. 108, 9221 (1998).
    • (1998) J. Chem. Phys. , vol.108 , pp. 9221
  • 109
    • 84860066631 scopus 로고    scopus 로고
    • Y. J. Bomble, M. Kállay, J. Gauss, and J. F. Stanton (unpublished)
    • Y. J. Bomble, M. Kállay, J. Gauss, and J. F. Stanton (unpublished).
  • 110
    • 84860060073 scopus 로고    scopus 로고
    • A. Tatji, M. Kállay, P. G. Szalay, J. Gauss, and J. F. Stanton (unpublished)
    • A. Tatji, M. Kállay, P. G. Szalay, J. Gauss, and J. F. Stanton (unpublished).
  • 112
    • 11044236433 scopus 로고    scopus 로고
    • note
    • 2) from elemental reactions, is not at all important with the isodesmic reaction.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.