Skip to main content

Multiconfigurational quantum chemistry for ground and excited states

  • Chapter
Radiation Induced Molecular Phenomena in Nucleic Acids

Part of the book series: Challenges and Advances In Computational Chemistry and Physics ((COCH,volume 5))

abstract

One frequently used quantum chemical approach for studies of spectroscopy and photochemistry is the Complete Active Space (CAS) SCF method in combination with multiconfigurational second order perturbation theory (CASPT2). In this chapter we shall describe these two approaches. The basic idea behind them is the request that the wave function should give a proper description of the electronic structure already at the lowest level of theory. This should be possible for all possible arrangements of the electrons: in chemical bonds, in excited states, in dissociated states, at transition states for chemical reactions, etc. It should also be possible for all atoms of the periodic systems. The CASSCF wave function fulfills, in principle, this requirement because it is full CI, albeit in a limited space of active orbitals. CASSCF can therefore be regarded as an extension of the Hartree-Fock (HF) method to any arrangement of the electrons. The addition of dynamic electron correlation is as crucial here as it is in the HF method. The suggested solution is to compute this energy using second order perturbation theory (CASPT2) because it is relatively simple and allows applications to a wide variety of systems and many electrons. The review will focus on the methods themselves. Applications will be described in other chapters of the book

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Roos BO, Taylor PR, Siegbahn PEM (1980) Chem Phys 48: 157.

    Article  CAS  Google Scholar 

  2. Roos BO (1987) Advances in Chemical Physics: Ab Initio Methods in Quantum Chemistry - II. In: Lawley KP (ed). John Wiley & Sons Ltd.: Chichester, England, Chapter 69, p. 399.

    Google Scholar 

  3. Andersson K, Malmqvist P-Å, Roos BO, Sadlej AJ, Wolinski K (1990) J Phys Chem 94: 5483–5488.

    Article  CAS  Google Scholar 

  4. Andersson K, Malmqvist P-Å, Roos BO (1992) J Chem Phys 96: 1218–1226.

    Article  CAS  Google Scholar 

  5. Löwdin P-O (1955) Phys Rev 97: 1474–1520.

    Article  Google Scholar 

  6. Levy B, Berthier G (1968) Int J Quantum Chem 2: 307.

    Article  CAS  Google Scholar 

  7. Levy B, Berthier G (1969) Int J Quantum Chem 3: 247.

    Article  Google Scholar 

  8. Ruedenberg K, Sundberg KR (1976) Quantum Science. Methods and Structure. In: Calais J-L (ed). Plenum Press: New York.

    Google Scholar 

  9. Shavitt I (1977) Int J Quantum Chem: Quantum Chem Symp 11: 133.

    Google Scholar 

  10. Shavitt I (1978) Int J Quantum Chem: Quantum Chem Symp 12: 5.

    CAS  Google Scholar 

  11. Roothaan CCJ (1960) Revs Mod Phys 32: 179.

    Article  Google Scholar 

  12. Grein F, Chang TC (1971) Chem Phys Lett 12: 44.

    Article  CAS  Google Scholar 

  13. Hinze J (1973) J Chem Phys 59: 6424.

    Article  CAS  Google Scholar 

  14. Dalgaard E, Jørgensen P (1978) J Chem Phys 69: 3833.

    Article  CAS  Google Scholar 

  15. Malmqvist P-Å, Rendell A, Roos BO (1990) J Phys Chem 94: 5477–5482.

    Article  CAS  Google Scholar 

  16. Malmqvist P-Å (1986) Int J Quantum Chem 30: 479.

    Article  Google Scholar 

  17. Malmqvist P-Å, Roos BO (1989) Chem Phys Lett 155: 189–194.

    Article  CAS  Google Scholar 

  18. Karlström G, Carlsson A, Lindman B (1990) J Phys Chem 94: 5005.

    Article  Google Scholar 

  19. Malmqvist P-Å, Roos BO, Schimmelpfennig B (2002) Chem Phys Lett 357: 230–240.

    Article  CAS  Google Scholar 

  20. Siegbahn PEM (1980) J Chem Phys 72: 1647.

    Article  CAS  Google Scholar 

  21. Lischka H, Shepard R, Shavitt I, Pitzer RM, Dallos M, Müller T, Szalay PG, Brown FB, Ahlrichs R, Böhm HJ, Chang A, Comeau DC, Gdanitz R, Dachsel H, Ehrhardt C, Ernzerhof M, Höchtl P, Irle S, Kedziora G, Kovar T, Parasuk V, Pepper MJM, Scharf P, Schiffer H, Schindler M, Schüler M, Seth M, Stahlberg EA, Zhao J-G, Yabushita S, Zhang Z COLUMBUS, an ab initio electronic structure program, release 5.9, 2004.

    Google Scholar 

  22. Møller C, Plesset MS (1934) Phys Rev 46: 618–622.

    Article  Google Scholar 

  23. Roos BO, Linse P, Siegbahn PEM, Blomberg MRA (1982) Chem Phys 66: 197.

    Article  CAS  Google Scholar 

  24. Olsen J, Roos BO, Jørgensen P, Jensen HJA (1988) J Chem Phys 89: 2185–2192.

    Article  CAS  Google Scholar 

  25. Roos BO (2000) European Summer School in Quantum Chemistry, Book II. In Roos BO, Widmark P-O (eds). Lund University: Lund, Sweden.

    Google Scholar 

  26. Roos BO (1980) Int J Quantum Chem S14: 175.

    Google Scholar 

  27. Wong MW, Steudel R (2005) Chem Commun 3712.

    Google Scholar 

  28. Azizi Z, Roos BO, Veryazov V (2006) Phys Chem Chem Phys 8: 2727–2732.

    Article  CAS  Google Scholar 

  29. Roos BO, Fülscher MP, Malmqvist P-Å, Merchán M, Serrano-Andrés L (1995) Quantum Mechanical Electronic Structure Calculations with Chemical Accuracy. In: Langhoff SR (ed). Kluwer Academic Publishers: Understanding Chem, React., Dordrecht, The Netherlands pp. 357–438.

    Google Scholar 

  30. Roos BO, Fülscher MP, Malmqvist P-Å, Merchán M, Serrano-Andrés L (1995) Underst Chem React 13: 357.

    CAS  Google Scholar 

  31. Roos BO, Andersson K, Fülscher MP, Malmqvist P-Å, Serrano-Andrés L, Pierloot K, Merchán M (1996) Advances in Chemical Physics: New Methods in Computational Quantum Mechanics, Vol. XCIII:219–331. In: Prigogine I, Rice SA, (eds). John Wiley & Sons: New York, pp. 219–332.

    Google Scholar 

  32. Roos BO (2003) Collect Czech Chem Commun 68: 265.

    Article  CAS  Google Scholar 

  33. Pierloot K (2004) Mol Phys 101: 2083.

    Article  Google Scholar 

  34. Pierloot K (2004) Computational Photochemistry. In: Michl J, Olivucci M (eds). Elsevier: Amsterdam.

    Google Scholar 

  35. Pierloot K (2001) Computational Organometallic Chemistry. In: Cundari T, (ed). Marcel Decker Inc: New York, P. 123.

    Google Scholar 

  36. Gagliardi L, Roos BO (2005) Nature 433: 848–851.

    Article  CAS  Google Scholar 

  37. Roos BO, Malmqvist P-Å, Gagliardi L (2006) J Am Chem Soc 128: 17000–17006.

    Article  CAS  Google Scholar 

  38. Gagliardi L, Heaven MC, Krogh JW, Roos BO (2005) J Am Chem Soc 127: 86–91.

    Article  CAS  Google Scholar 

  39. Hagberg D, Karlström G, Roos BO, Gagliardi L (2005) J Am Chem Soc 127.

    Google Scholar 

  40. Gagliardi L, Roos BO (2000) Chem Phys Lett 331: 229–234.

    Article  CAS  Google Scholar 

  41. Privalov T, Macak P, Schimmelpfennig B, Fromager E, Wahlgren IGU (2004) J Am Chem Soc 126: 9801.

    Article  CAS  Google Scholar 

  42. Paulovic J, Gagliardi L, Dyke JM, Hirao K (2004) J Chem Phys 120: 9998–10001.

    Article  CAS  Google Scholar 

  43. Karlström G, Malmqvist P-Å (1992) J Chem Phys 96: 6115.

    Article  Google Scholar 

  44. Roos BO, Malmqvist P-Å (2004) Phys Chem Chem Phys 6: 2919–2927.

    Article  CAS  Google Scholar 

  45. Andersson K, Roos BO (1993) Int J Quantum Chem 45: 591–607.

    Article  CAS  Google Scholar 

  46. Ghigo G, Roos BO, Malmqvist P-Å (2004) Chem Phys Lett 396: 142–149.

    Article  CAS  Google Scholar 

  47. Roos BO, Andersson K (1995) Chem Phys Lett 245: 215–223.

    Article  CAS  Google Scholar 

  48. Roos BO, Andersson K, Fülscher MP, Serrano-Andrés L, Pierloot K, Merchán M, Molina V (1996) J Mol Struct (Theochem) 388: 257–276.

    CAS  Google Scholar 

  49. Forsberg N, Malmqvist P-Å (1997) Chem Phys Lett 274: 196.

    Article  CAS  Google Scholar 

  50. Ghigo G, Roos BO, Stancil PC, Weck PF (2004) J Chem Phys 121: 8194–8200.

    Article  CAS  Google Scholar 

  51. Finley J, Malmqvist P-Å, Roos BO, Serrano-Andrés L (1998) Chem Phys Lett 288: 299–306.

    Article  CAS  Google Scholar 

  52. Merchán M, Serrano-Andrés L (2005) Computational Photochemistry. In: Olivucci M, Michl J (eds). Elsevier: Amsterdam.

    Google Scholar 

  53. Persson BJ, Roos BO, Pierloot K (1994) J Chem Phys 101: 6810.

    Article  Google Scholar 

  54. Pierloot K, Persson BJ, Roos BO (1995) J Phys Chem 99: 3465–3472.

    Article  CAS  Google Scholar 

  55. Ryde U, Olsson MHM, Pierloot K, Roos BO (1996) J Mol Biol 261: 586–596.

    Article  CAS  Google Scholar 

  56. Pierloot K, De Kerpel JOA, Ryde U, Roos BO (1997) J Am Chem Soc 119: 218–226.

    Article  CAS  Google Scholar 

  57. Pierloot K, De Kerpel JOA, Olsson MHM, Ryde U, Roos BO (1997) J Inorg Biochem 67: 43.

    Article  CAS  Google Scholar 

  58. Pierloot K, De Kerpel JOA, Ryde U, Olsson MHM, Roos BO (1998) J Am Chem Soc 120: 13156–13166.

    Article  CAS  Google Scholar 

  59. Cramer CJ, Kinal A, Woch M, Piecuch P, Gagliardi L (2006) J Phys Chem A 110: 11557–11568.

    Article  CAS  Google Scholar 

  60. Roos BO, Borin AC, Gagliardi L (2006) Angew Chem Int Ed 46: 1469–1472.

    Article  Google Scholar 

  61. Brynda M, Gagliardi L, Widmark P-O, Power PP, Roos BO (2006) Angew Chem Int Ed 45: 3888–3891.

    Article  Google Scholar 

  62. La Macchia G, Brynda M, Gagliardi L (2006) Angew Chem Int Ed 45: 6210–6213.

    Article  Google Scholar 

  63. Gagliardi L, Roos BO (2006) Chem Soc Rev DOI: 10.1039/b601115m, xxxx.

    Google Scholar 

  64. Roos BO, Andersson K, Fülscher MP (1992) Chem Phys Lett 192: 5–13.

    Article  CAS  Google Scholar 

  65. Goeppert-Mayer M, Sklar AL (1938) J Chem Phys 6: 645.

    Article  CAS  Google Scholar 

  66. Bernhardsson A, Forsberg N, Malmqvist P-Å, Roos BO, Serrano-Andrés L (2000) J Chem Phys 112: 2798–2809.

    Article  CAS  Google Scholar 

  67. Roos BO, Serrano-Andrés L, Merchán M (1993) Pure & Appl Chem 65: 1693–1698.

    Article  CAS  Google Scholar 

  68. De Vico L, Wisborg-Krogh J, Liu Y-J, Lindh R (2007) J Am Chem Soc submitted.

    Google Scholar 

  69. Roos BO (2005) Computational Photochemistry. In: Olivucci M, Michl J (eds). Elsevier: Amsterdam.

    Google Scholar 

  70. Grimme S, Waletzke M (1999) J Chem Phys 111: 5645.

    Article  CAS  Google Scholar 

  71. Roos BO, Lindh R, Malmqvist P-Å, Veryazov V, Widmark P-O J Phys Chem A 108: 2851.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Roos, B.O. (2008). Multiconfigurational quantum chemistry for ground and excited states. In: Shukla, M.K., Leszczynski, J. (eds) Radiation Induced Molecular Phenomena in Nucleic Acids. Challenges and Advances In Computational Chemistry and Physics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8184-2_5

Download citation

Publish with us

Policies and ethics