Crossref journal-article
AIP Publishing
The Journal of Chemical Physics (317)
Abstract

The sources of error in electronic structure calculations arising from the truncation of the one-particle and n-particle expansions are examined with very large correlation consistent basis sets, in some cases up through valence 10-ζ quality, and coupled cluster methods, up through connected quadruple excitations. A limited number of full configuration interaction corrections are also considered. For cases where full configuration interaction calculations were unavailable or prohibitively expensive, a continued fraction approximation was used. In addition, errors arising from core∕valence and relativistic corrections are also probed for a number of small chemical systems. The accuracies of several formulas for estimating total energies and atomization energies in the complete basis set limit are compared in light of the present large basis set findings. In agreement with previous work, the CCSD(T) method is found to provide results that are closer to the CCSDTQ and full configuration-interaction results than the less approximate CCSDT method.

Bibliography

Feller, D., Peterson, K. A., & Crawford, T. D. (2006). Sources of error in electronic structure calculations on small chemical systems. The Journal of Chemical Physics, 124(5).

Authors 3
  1. David Feller (first)
  2. Kirk A. Peterson (additional)
  3. T. Daniel Crawford (additional)
References 125 Referenced 191
  1. 10.1063/1.1742031 / J. Chem. Phys. (1955)
  2. 10.1088/0370-1298/69/10/306 / Proc. Phys. Soc., London, Sect. A (1956)
  3. 10.1088/0022-3700/8/6/023 / J. Phys. B (1975)
  4. {'volume-title': 'Constants of Diatomic Molecules', 'year': '1979', 'key': '2023073103531003300_c4'} / Constants of Diatomic Molecules (1979)
  5. {'key': '2023073103531003300_c5', 'first-page': '1', 'volume': '9', 'year': '1998', 'journal-title': 'J. Phys. Chem. Ref. Data Monogr.'} / J. Phys. Chem. Ref. Data Monogr. (1998)
  6. 10.1063/1.460205 / J. Chem. Phys. (1991)
  7. 10.1063/1.475370 / J. Chem. Phys. (1998)
  8. 10.1063/1.478747 / J. Chem. Phys. (1999)
  9. 10.1002/jcc.9 / J. Comput. Chem. (1996)
  10. 10.1021/jp981734p / J. Phys. Chem. (1998)
  11. 10.1021/jp982655g / J. Phys. Chem. A (1998)
  12. 10.1021/jp990425b / J. Phys. Chem. A (1999)
  13. 10.1021/jp990596g / J. Phys. Chem. A (1999)
  14. 10.1021/jp994340m / J. Phys. Chem. A (2000)
  15. 10.1021/jp001972w / J. Phys. Chem. A (2000)
  16. 10.1021/jp003711s / J. Phys. Chem. A (2001)
  17. 10.1021/jp0147067 / J. Phys. Chem. A (2002)
  18. 10.1021/jp021569k / J. Phys. Chem. A (2003)
  19. 10.1021/jp030738d / J. Phys. Chem. A (2003)
  20. 10.1021/jp035547p / J. Phys. Chem. A (2003)
  21. 10.1021/ja0303182 / J. Am. Chem. Soc. (2004)
  22. 10.1063/1.1388045 / J. Chem. Phys. (2001)
  23. 10.1021/jp013909s / J. Phys. Chem. A (2002)
  24. 10.1063/1.1532314 / J. Chem. Phys. (2003)
  25. 10.1021/jp030267v / J. Phys. Chem. A (2003)
  26. 10.1021/jp044564r / J. Phys. Chem. A (2005)
  27. 10.1063/1.1998907 / J. Chem. Phys. (2005)
  28. 10.1063/1.461680 / J. Chem. Phys. (1991)
  29. 10.1016/0167-7977(85)90003-6 / Comput. Phys. Rep. (1985)
  30. 10.1021/cr00074a002 / Chem. Rev. (Washington, D.C.) (1986)
  31. {'volume-title': 'Basis Sets for Ab Initio Molecular Orbital Calculations and Intermolecular Interactions', 'year': '1990', 'key': '2023073103531003300_c18c'} / Basis Sets for Ab Initio Molecular Orbital Calculations and Intermolecular Interactions (1990)
  32. 10.1063/1.451917 / J. Chem. Phys. (1987)
  33. 10.1063/1.448464 / J. Chem. Phys. (1985)
  34. 10.1063/1.1679007 / J. Chem. Phys. (1973)
  35. 10.1063/1.1677527 / J. Chem. Phys. (1972)
  36. 10.1007/BF00533485 / Theor. Chim. Acta (1973)
  37. 10.1063/1.456153 / J. Chem. Phys. (1989)
  38. 10.1063/1.462569 / J. Chem. Phys. (1992)
  39. 10.1063/1.466439 / J. Chem. Phys. (1994)
  40. 10.1063/1.470645 / J. Chem. Phys. (1995)
  41. 10.1063/1.1520138 / J. Chem. Phys. (2002)
  42. 10.1021/jp026283u / J. Phys. Chem. A (2002)
  43. 10.1063/1.1329891 / J. Chem. Phys. (2001)
  44. 10.1063/1.464303 / J. Chem. Phys. (1993)
  45. 10.1063/1.478678 / J. Chem. Phys. (1999)
  46. 10.1063/1.1622923 / J. Chem. Phys. (2003)
  47. 10.1063/1.1622924 / J. Chem. Phys. (2003)
  48. 10.1007/s00214-005-0681-9 / Theor. Chem. Acc. (2005)
  49. 10.1016/S0166-1280(96)04689-1 / J. Mol. Struct.: THEOCHEM (1996)
  50. 10.1002/(SICI)1097-461X(2000)76:2<205::AID-QUA10>3.0.CO;2-C / Int. J. Quantum Chem. (1999)
  51. 10.1063/1.462652 / J. Chem. Phys. (1992)
  52. 10.1021/j100103a005 / J. Phys. Chem. (1993)
  53. 10.1063/1.464749 / J. Chem. Phys. (1993)
  54. 10.1103/PhysRev.46.618 / Phys. Rev. (1934)
  55. 10.1063/1.465306 / J. Chem. Phys. (1993)
  56. 10.1016/S0009-2614(98)00866-5 / Chem. Phys. Lett. (1998)
  57. 10.1063/1.479659 / J. Chem. Phys. (1999)
  58. 10.1063/1.455064 / J. Chem. Phys. (1988)
  59. 10.1063/1.460447 / J. Chem. Phys. (1989)
  60. 10.1021/bk-1998-0677 / Computational Thermochemistry: Predictions and Estimation of Molecular Thermodynamics by Irikura (1998)
  61. 10.1016/S0009-2614(89)87395-6 / Chem. Phys. Lett. (1989)
  62. {'year': '2002', 'key': '2023073103531003300_c36'} (2002)
  63. {'year': '2005', 'key': '2023073103531003300_c37'} (2005)
  64. {'year': '2005', 'key': '2023073103531003300_c38'} (2005)
  65. {'year': '2004', 'key': '2023073103531003300_c39'} (2004)
  66. {'year': '2005', 'key': '2023073103531003300_c40'} (2005)
  67. 10.1103/PhysRev.126.1015 / Phys. Rev. (1962)
  68. {'key': '2023073103531003300_c41b', 'first-page': '262', 'volume-title': 'Methods in Computational Physics', 'author': 'Alder', 'year': '1963'} / Methods in Computational Physics by Alder (1963)
  69. 10.1063/1.462811 / J. Chem. Phys. (1992)
  70. 10.1016/0009-2614(96)00898-6 / Chem. Phys. Lett. (1996)
  71. 10.1063/1.473863 / J. Chem. Phys. (1997)
  72. 10.1016/0009-2614(96)00658-6 / Chem. Phys. Lett. (1996)
  73. 10.1016/S0009-2614(98)00111-0 / Chem. Phys. Lett. (1998)
  74. 10.1063/1.466884 / J. Chem. Phys. (1994)
  75. 10.1063/1.473932 / J. Chem. Phys. (1997)
  76. 10.1080/00268970010017315 / Mol. Phys. (2001)
  77. 10.1063/1.1566744 / J. Chem. Phys. (2003)
  78. 10.1007/BF00527669 / Theor. Chim. Acta (1985)
  79. 10.1016/0009-2614(87)80005-2 / Chem. Phys. Lett. (1987)
  80. 10.1021/j100377a040 / J. Phys. Chem. (1990)
  81. 10.1063/1.459921 / J. Chem. Phys. (1991)
  82. {'key': '2023073103531003300_c51'}
  83. 10.1063/1.481827 / J. Chem. Phys. (2000)
  84. 10.1002/cpa.3160100201 / Pure Appl. Math. (1957)
  85. 10.1103/PhysRevA.46.6063 / Phys. Rev. A (1992)
  86. 10.1007/s002140050259 / Theor. Chem. Acc. (1997)
  87. {'key': '2023073103531003300_c56'}
  88. 10.1063/1.1367373 / J. Chem. Phys. (2001)
  89. 10.1016/0009-2614(92)86093-W / Chem. Phys. Lett. (1990)
  90. 10.1016/0009-2614(94)00815-9 / Chem. Phys. Lett. (1994)
  91. 10.1063/1.465990 / J. Chem. Phys. (1993)
  92. 10.1016/S0009-2614(03)00225-2 / Chem. Phys. Lett. (2003)
  93. 10.1021/jp970676p / J. Phys. Chem. A (1997)
  94. 10.1103/PhysRev.41.713 / Phys. Rev. (1932)
  95. 10.1016/0003-4916(74)90333-9 / Ann. Phys. (1974)
  96. 10.1103/PhysRevA.39.6016 / Phys. Rev. A (1989)
  97. {'volume-title': 'Atomic Energy Levels', 'year': '1971', 'key': '2023073103531003300_c63'} / Atomic Energy Levels (1971)
  98. 10.1016/0022-2852(74)90114-3 / J. Mol. Spectrosc. (1974)
  99. {'volume-title': 'Tables of Molecular Vibrational Frequencies Consolidated', 'year': '1972', 'key': '2023073103531003300_c65'} / Tables of Molecular Vibrational Frequencies Consolidated (1972)
  100. J. Senekowitsch, Ph.D. thesis, Universität Frankfurt, 1988.
  101. 10.1063/1.464913 / J. Chem. Phys. (1993)
  102. 10.1103/PhysRevB.37.785 / Phys. Rev. B (1988)
  103. 10.1016/0009-2614(95)91855-R / Chem. Phys. Lett. (1995)
  104. 10.1002/(SICI)1096-987X(19990130)20:2<207::AID-JCC3>3.0.CO;2-E / J. Comput. Chem. (1999)
  105. 10.1063/1.1589004 / J. Chem. Phys. (2003)
  106. 10.1063/1.1792071 / J. Chem. Phys. (2004)
  107. 10.1080/00268970512331317264 / Mol. Phys. (2005)
  108. {'volume-title': 'Reviews in Computational Chemistry', 'year': '1994', 'key': '2023073103531003300_c70'} / Reviews in Computational Chemistry (1994)
  109. 10.1063/1.479202 / J. Chem. Phys. (1999)
  110. 10.1063/1.481135 / J. Chem. Phys. (2000)
  111. 10.1016/j.cplett.2003.10.036 / Chem. Phys. Lett. (2003)
  112. {'year': '2001', 'key': '2023073103531003300_c74', 'first-page': '1'} (2001)
  113. 10.1063/1.1638736 / J. Chem. Phys. (2004)
  114. 10.1063/1.1811608 / J. Chem. Phys. (2004)
  115. 10.1021/j100377a033 / J. Phys. Chem. (1990)
  116. 10.1016/0009-2614(90)87031-L / Chem. Phys. Lett. (1990)
  117. 10.1063/1.1780155 / J. Chem. Phys. (2004)
  118. 10.1063/1.1462620 / J. Chem. Phys. (2002)
  119. 10.1021/jp952815d / J. Phys. Chem. (1996)
  120. {'volume-title': 'UTCHEM', 'year': '2004', 'key': '2023073103531003300_c82'} / UTCHEM (2004)
  121. 10.1063/1.1917838 / J. Chem. Phys. (2005)
  122. 10.1063/1.450020 / J. Chem. Phys. (1986)
  123. 10.1063/1.1540626 / J. Chem. Phys. (2003)
  124. 10.1063/1.1824880 / J. Chem. Phys. (2005)
  125. 10.1063/1.481764 / J. Chem. Phys. (2000)
Dates
Type When
Created 19 years, 7 months ago (Jan. 31, 2006, 6:12 p.m.)
Deposited 2 years, 1 month ago (July 30, 2023, 11:53 p.m.)
Indexed 1 month, 1 week ago (July 30, 2025, 6:45 a.m.)
Issued 19 years, 7 months ago (Feb. 2, 2006)
Published 19 years, 7 months ago (Feb. 2, 2006)
Published Online 19 years, 7 months ago (Feb. 2, 2006)
Published Print 19 years, 7 months ago (Feb. 7, 2006)
Funders 0

None

@article{Feller_2006, title={Sources of error in electronic structure calculations on small chemical systems}, volume={124}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.2137323}, DOI={10.1063/1.2137323}, number={5}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Feller, David and Peterson, Kirk A. and Crawford, T. Daniel}, year={2006}, month=feb }