Accurate Nonlinear Optical Properties for Small Molecules

Methods and results

  • Chapter
Non-Linear Optical Properties of Matter

Abstract

During the last decade it became possible to calculate by quantum chemical ab initio methods not only static but also frequency-dependent properties with high accuracy. Today, the most important tools for such calculations are coupled cluster response methods in combination with systematic hierarchies of correlation consistent basis sets. Coupled cluster response methods combine a computationally efficient treatment of electron correlation with a qualitatively correct pole structure and frequency dispersion of the response functions. Both are improved systematically within a hierarchy of coupled cluster models. The present contribution reviews recent advances in the highly accurate calculation of frequency-dependent properties of atoms and small molecules, electronic structure methods, basis set convergence and extrapolation techniques. Reported applications include first and second hyperpolarizabilities, Faraday, Buckingham and Cotton–Mouton effects as well as Jones and magneto-electric birefringence

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** 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. Ward, J.F., Miller, C.K.: Phys. Rev. A. 19, 826 (1979)

    Article  ADS  CAS  Google Scholar 

  2. Mizrahi, V., Shelton, D.P.: Phys. Rev. Letters. 55, 696 (1985)

    Article  ADS  CAS  Google Scholar 

  3. Mizrahi, V., Shelton, D.P.: Phys. Rev. A. 31, 3145 (1985)

    Article  PubMed  ADS  CAS  Google Scholar 

  4. Shelton, D.P., Mizrahi, V.: Phys. Rev. A. 33, 72 (1986)

    Article  PubMed  ADS  CAS  Google Scholar 

  5. Mizrahi, V., Shelton, D.P.: Phys. Rev. A. 33, 1396 (1986)

    Article  PubMed  ADS  CAS  Google Scholar 

  6. Shelton, D.P.: Phys. Rev. A. 42, 2578 (1990)

    Article  PubMed  ADS  CAS  Google Scholar 

  7. Dudley, J., Ward, J.: J. Chem. Phys. 82, 4673 (1985)

    Article  ADS  CAS  Google Scholar 

  8. Sekino, H., Bartlett, R.J.: J. Chem. Phys. 98, 3022 (1993)

    Article  ADS  CAS  Google Scholar 

  9. Taylor, P.R., Lee, T.J., Rice, J.E., Almlöf, J.: Chem. Phys. Lett. 163, 359 (1989)

    Article  ADS  CAS  Google Scholar 

  10. Maroulis, G., Thakkar, A.J.: Chem. Phys. Lett. 156, 87 (1989)

    Article  ADS  CAS  Google Scholar 

  11. Rice, J.E., Taylor, P.R., Lee, T.J., Almlöf, J.: J. Chem. Phys. 94, 4972 (1991)

    Article  ADS  CAS  Google Scholar 

  12. Rice, J.E., Scuseria, G.E., Lee, T., Taylor, P.R., Almlöf, J.: Chem. Phys. Lett. 191, 23 (1992)

    Article  ADS  CAS  Google Scholar 

  13. Sekino, H., Bartlett, R.J.: J. Chem. Phys. 84, 2726 (1986)

    Article  ADS  CAS  Google Scholar 

  14. Luo, Y., Ågren, H., Vahtras, O., Jørgensen, P., Spirko, V., Hettema, H.: J. Chem. Phys. 98, 7159 (1993)

    Article  ADS  CAS  Google Scholar 

  15. Bishop, D.M., Kirtmann, B., Kurtz, H.A., Rice, J.E.: J. Chem. Phys. 98, 8024 (1993)

    Article  ADS  CAS  Google Scholar 

  16. Shelton, D.P., Rice, J.E.: Chem. Rev. 94, 3 (1994)

    Article  CAS  Google Scholar 

  17. Kaatz, P., Donley, E.A., Shelton, D.P.: J. Chem. Phys. 108, 849 (1998)

    Article  ADS  CAS  Google Scholar 

  18. Chong, D.P., Langhoff, S.R.: J. Chem. Phys. 93, 570 (1990)

    Article  ADS  CAS  Google Scholar 

  19. Jensen, H.J.Å., Jørgensen, P., Hettema, H., Olsen, J.: Chem. Phys. Lett. 187, 387 (1991)

    Article  ADS  Google Scholar 

  20. Luo, Y., Vahtras, O., Ågren, H., Jørgensen, P.: Chem. Phys. Lett. 205, 555 (1993)

    Article  ADS  CAS  Google Scholar 

  21. Buckingham, A.D., Stephens, P.J.: Ann. Rev. Phys. Chem. 17, 399 (1966)

    Article  CAS  Google Scholar 

  22. Schatz, P.N., McCaffery, A.J.: Q. Rev. 23, 552 (1969)

    Article  CAS  Google Scholar 

  23. Shelton, D.P., Donley, E.A.: Chem. Phys. Lett. 195, 591 (1992)

    Article  ADS  CAS  Google Scholar 

  24. Bishop, D.M.: Adv. Quant. Chem. 25, 1 (1994)

    Article  CAS  Google Scholar 

  25. Rice, J.E.: J. Chem. Phys. 96, 7580 (1992)

    Article  ADS  CAS  Google Scholar 

  26. Jaszuński, M., Jørgensen, P., Rizzo, A.: Theor. Chim. Acta. 90, 291 (1995)

    Google Scholar 

  27. Bartlett, R.J., Sekino, H.: In: Karna, S.P., Yeates, A.T. (eds.) Non Linear Optical Materials: Theory and Modeling, American Chemical Society Symposium Series. Vol. 628 American Chemical Society, Washington (1996)

    Google Scholar 

  28. Papadopoulos, M.G., Waite, J., Buckingham, A.D.: J. Chem. Phys. 102, 371 (1995)

    Article  ADS  CAS  Google Scholar 

  29. Shelton, D.P., Palubinskas, J.J.: J. Chem. Phys. 104, 2482 (1996)

    Article  ADS  CAS  Google Scholar 

  30. Hättig, C., Jørgensen, P.: Chem. Phys. Lett. 283, 109 (1998)

    Article  Google Scholar 

  31. Rozyczko, P., Bartlett, R.J.: J. Chem. Phys. 107, 10823 (1997)

    Article  ADS  CAS  Google Scholar 

  32. Hättig, C., Jørgensen, P.: J. Chem. Phys. 109, 2762 (1998)

    Article  ADS  Google Scholar 

  33. Franke, R., Müller, H., Noga, J.: J. Chem. Phys. 114, 7746 (2001)

    Article  ADS  CAS  Google Scholar 

  34. Larsen, H., Olsen, J., Hättig, C., Jørgensen, P., Christiansen, O., Gauss, J.: J. Chem. Phys. 111, 1917 (1999)

    Article  ADS  CAS  Google Scholar 

  35. Pawłowski, F., Jørgensen, P., Hättig, C.: Chem. Phys. Lett. 413, 272 (2005)

    Article  CAS  Google Scholar 

  36. Christiansen, O., Gauss, J., Stanton, J.F.: Chem. Phys. Lett. 305, 147 (1999)

    Article  CAS  Google Scholar 

  37. Rizzo, A., Coriani, S., Fernández, B., Christiansen, O.: Phys. Chem. Chem. Phys. 4, 2884 (2002)

    Article  CAS  Google Scholar 

  38. Coriani, S., Jørgensen, P., Christiansen, O., Gauss, J.: Chem. Phys. Lett. 330, 463 (2000)

    Article  CAS  Google Scholar 

  39. Rizzo, A., Kállay, M., Gauss, J., Pawłowski, F., Jørgensen, P., Hättig, C.: J. Chem. Phys. 121, 9461 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

  40. Rizzo, A., Coriani, S.: Birefringences: a challenge for both theory and experiment. Adv. Quantum Chem 50, 143 (2005)

    CAS  Google Scholar 

  41. Oddershede, J.: Propagators Methods, in Ab initio Methods in Quantum Chemistry, Part II, K.P. Lawley (ed.), Adv. Chem. Phys., vol. 69 pp. 201–239. Wiley, New York (1987)

    Google Scholar 

  42. Olsen, J., Jørgensen, P.: Time-Dependent Response Theory with Applications to Self-Consistent Field and Multiconfigurational Self-Consistent Field Wave Functions, in Modern Electronic Structure Theory, Yarkony, D.R., (ed.) vol. 2, chapter 13, pp. 857–990. World Scientific, Singapore (1995)

    Google Scholar 

  43. Sasagane, K., Aiga, F., Itoh, R.: J. Chem. Phys. 99, 3738 (1993)

    Article  ADS  CAS  Google Scholar 

  44. Christiansen, O., Jørgensen, P., Hättig, C.: Int. J. Quantum Chem. 68, 1 (1998)

    Article  CAS  Google Scholar 

  45. Langhoff, P.W., Epstein, S.T., Karplus, M.: Rev. Mod. Phys. 44, 602 (1972)

    Article  ADS  CAS  MathSciNet  Google Scholar 

  46. Koch, H., Jørgensen, P.: J. Chem. Phys. 93, 3333 (1990)

    Article  ADS  CAS  Google Scholar 

  47. Stanton, J.F., Bartlett, R.J.: J. Chem. Phys. 98, 7029 (1993)

    Article  ADS  CAS  Google Scholar 

  48. Hättig, C., Heß, B.A.: Chem. Phys. Lett. 233, 359 (1995)

    Article  ADS  Google Scholar 

  49. Yeager, D.L., Jørgensen, P.: Chem. Phys. Lett. 65, 77 (1979)

    Article  ADS  CAS  Google Scholar 

  50. Jørgensen, P., Jensen, H.J.A., Olsen, J.: J. Chem. Phys. 89, 3654 (1988)

    Article  ADS  Google Scholar 

  51. Dalgaard, E., Monkhorst, H.J.: Phys. Rev. A. 28, 1217 (1983)

    Article  ADS  CAS  Google Scholar 

  52. van Gisbergen, S.J.A., Snijders, J.G., Baerends, E.J.: J. Chem. Phys. 109, 10644 (1998)

    Article  Google Scholar 

  53. Sałek, P., Vahtras, O., Helgaker, T., Ågren, H.: J. Chem. Phys. 117, 9630 (2002)

    Article  ADS  CAS  Google Scholar 

  54. Raghavachari, K., Trucks, G.W., Pople, J.A., Head-Gordon, M.: Chem. Phys. Lett. 157, 479 (1989)

    Article  ADS  CAS  Google Scholar 

  55. Koch, H., Christiansen, O., Jørgensen, P., Olsen, J.: Chem. Phys. Lett. 244, 75 (1995)

    Article  ADS  CAS  Google Scholar 

  56. Koch, H., Christiansen, O., Jørgensen, P., Sánchez de Merás, A., Helgaker, T.: J. Chem. Phys. 106, 1808 (1997)

    Article  ADS  CAS  Google Scholar 

  57. Christiansen, O., Koch, H., Jørgensen, P.: Chem. Phys. Lett. 243, 409 (1995)

    Article  ADS  CAS  Google Scholar 

  58. Christiansen, O., Koch, H., Jørgensen, P.: J. Chem. Phys. 103, 7429 (1995)

    Article  ADS  CAS  Google Scholar 

  59. Christiansen, O.: A hierarchy of coupled cluster models for accurate calculations of molecular properties. Ph.D. Thesis,University of Aarhus (1997)

    Google Scholar 

  60. Kobayashi, R., Koch, H., Jørgensen, P.: Chem. Phys. Lett. 219, 30 (1994)

    Article  ADS  CAS  Google Scholar 

  61. Christiansen, O., Halkier, A., Koch, H., Jørgensen, P., Helgaker, T.: J. Chem. Phys. 108, 2801 (1998)

    Article  ADS  Google Scholar 

  62. Christiansen, O., Gauss, J., Stanton, J.F.: Chem. Phys. Lett. 292, 437 (1998)

    Article  CAS  Google Scholar 

  63. Hald, K., Pawłowski, F., Jørgensen, P., Hättig, C.: J. Chem. Phys. 118, 1292 (2003)

    Article  ADS  CAS  Google Scholar 

  64. Kállay, M., Gauss, J. Mol Struct. (THEOCH EM), in press (2006)

    Google Scholar 

  65. Hättig, C., Christiansen, O., Koch, H., Jørgensen, P.: Chem. Phys. Lett. 269, 428 (1997)

    Article  Google Scholar 

  66. Gauss, J., Christiansen, O., Stanton, J.F.: Chem. Phys. Lett. 296, 117 (1998)

    Article  CAS  Google Scholar 

  67. Pawłowski, F.: Development and implementation of CC3 response theory for calculation of frequency-dependent molecular properties. Benchmarking of static molecular properties. Ph.D. Thesis, University of Aarhus (2004)

    Google Scholar 

  68. Hättig, C., Christiansen, O., Jørgensen, P.: Chem. Phys. Lett. 282, 139 (1998)

    Article  Google Scholar 

  69. Hald, K.: Molecular properties in Coupled-Cluster theory. Ph.D. Thesis, University of Aarhus (2002)

    Google Scholar 

  70. Coriani, S.: Ab initio determination of molecular properties. Ph.D. Thesis, University of Aarhus (2000)

    Google Scholar 

  71. Coriani, S., Hättig, C., Jørgensen, P., Helgaker, T.: J. Chem. Phys. 113, 3561 (2000)

    Article  ADS  CAS  Google Scholar 

  72. Purvis III, G.D., Bartlett, R.J.: J. Chem. Phys. 76, 1910 (1982)

    Article  ADS  Google Scholar 

  73. Pawłowski, F., Jørgensen, P., Hättig, C.: Chem. Phys. Lett. 391, 27 (2004)

    Article  CAS  Google Scholar 

  74. Coriani, S., Hättig, C., Jørgensen, P., Halkier, A., Rizzo, A.: Chem. Phys. Lett. 281, 445. Erratum, ibid. 293 324 (1998) (1997)

    Google Scholar 

  75. Hättig, C., Christiansen, O., Jørgensen, P.: J. Chem. Phys. 108, 8355 (1998)

    Article  ADS  Google Scholar 

  76. Thomsen, C.L., Madsen, D., Keiding, S.R., Thogersen, J., Christiansen, O.: J. Chem. Phys. 110, 3453 (1999)

    Article  ADS  Google Scholar 

  77. Koch, H., Harrison, R.J.: J. Chem. Phys. 95, 7479 (1991)

    Article  ADS  CAS  Google Scholar 

  78. Larsen, H., Hättig, C., Olsen, J., Jørgensen, P.: Chem. Phys. Lett. 291, 536 (1998)

    Article  CAS  Google Scholar 

  79. Helgaker, T., Jørgensen, P., Olsen, J.: Molecular Electronic-Structure Theory. Wiley, New York (2000)

    Google Scholar 

  80. Urban, M., Noga, J., Cole, S.J., Bartlett, R.J.: J. Chem. Phys. 83, 4041 (1985)

    Article  ADS  CAS  Google Scholar 

  81. Noga, J., Bartlett, R.J., Urban, M.: Chem. Phys. Lett. 134, 126 (1987)

    Article  ADS  Google Scholar 

  82. Kucharski, S.A., Bartlett, R.J.: J. Chem. Phys. 108, 9221 (1998)

    Article  ADS  CAS  Google Scholar 

  83. Lee, Y.S., Bartlett, R.J.: J. Chem. Phys. 80, 4371 (1984)

    Article  ADS  CAS  Google Scholar 

  84. Lee, Y.S., Kucharski, S.A., Bartlett, R.J.: J. Chem. Phys. 81, 5906 (1984)

    Article  ADS  Google Scholar 

  85. Gauss, J.: In von Ragué Schleyer, P., The Encyclopedia of Computational Chemistry. Wiley, New York (1998)

    Google Scholar 

  86. Bartlett, R.J. (ed.): Recent Advances in Coupled-Cluster Methods. World Scientific, Singapore (1997)

    Google Scholar 

  87. Bartlett, R.J.: Coupled-Cluster Theory: An Overview of Recent Developments. In: Yarkony, D.R., (ed.) Modern Electronic Structure Theory, vol. 2, chapter 16, pp. 1047–1131. World Scientific, Singapore (1995)

    Google Scholar 

  88. Kutzelnigg, W.: Theor. Chim. Acta. 83, 263 (1992)

    Article  Google Scholar 

  89. Rice, J.E., Handy, N.C.: J. Chem. Phys. 94, 4959 (1991)

    Article  ADS  CAS  Google Scholar 

  90. Sambe, H.: Phys. Rev. A. 7, 2203 (1973)

    Article  ADS  Google Scholar 

  91. Olsen, J., Jørgensen, P.: J. Chem. Phys. 82, 3235 (1985)

    Article  ADS  CAS  Google Scholar 

  92. Pedersen, T.B., Koch, H.: J. Chem. Phys. 106, 8059 (1997)

    Article  ADS  CAS  Google Scholar 

  93. Helgaker, T., Jørgensen, P.: Calculation of geometrical derivatives in molecular electronic structure theory. In: Wilson, S., Diercksen, G.H.F., (eds) Methods in Computational Physics, pp. 513–421. Plenum Press, New York (1992)

    Google Scholar 

  94. Kramer, P., Saraceno, M.: Geometry of the Time-Dependent Variatonal Principle in Quantum Mechanics. Number 140 in Lecture Notes in Physics. Springer-Verlag, Berlin (1981)

    Google Scholar 

  95. Hättig, C., Christiansen, O., Jørgensen, P.: J. Chem. Phys. 108, 8331 (1998)

    Article  ADS  Google Scholar 

  96. Butcher, P.N., Cotter, D.: The Elements of Nonlinear Optics. Cambridge University, Cambridge (1990)

    Google Scholar 

  97. Nesbet, R.K.: Phys. Rev. A. 16, 1 (1977)

    Article  ADS  CAS  Google Scholar 

  98. Visser, F., Wormer, P.E.S., Jacobs, W.P.J.H.: J. Chem. Phys. 82, 3753 (1985)

    Article  ADS  CAS  Google Scholar 

  99. Wormer, P.E.S., Rijks, W.: Phys. Rev. A. 33, 2928 (1986)

    Article  PubMed  ADS  CAS  Google Scholar 

  100. Spelsberg, D., Lorenz, T., Meyer, W.: J. Chem. Phys. 99, 7845 (1993)

    Article  ADS  CAS  Google Scholar 

  101. Christiansen, O., Hättig, C., Gauss, J.: J. Chem. Phys. 109, 4745 (1998)

    Article  ADS  CAS  Google Scholar 

  102. Salter, E.A., Sekino, H., Bartlett, R.J.: J. Chem. Phys. 87, 502 (1987)

    Article  ADS  CAS  Google Scholar 

  103. Kobayashi, R., Koch, H., Jørgensen, P., Lee, T.J.: Chem. Phys. Lett. 211, 94 (1993)

    Article  ADS  CAS  Google Scholar 

  104. London, F.: J. Phys. Radium. 8, 397 (1937)

    CAS  Google Scholar 

  105. Hameka, H.F.: Mol. Phys. 1, 203 (1958)

    Article  CAS  Google Scholar 

  106. Ditchfield, R.: J. Chem. Phys. 56, 5688 (1972)

    Article  CAS  Google Scholar 

  107. Ditchfield, R.: Mol. Phys. 27, 789 (1974)

    Article  CAS  Google Scholar 

  108. Helgaker, T., Jørgensen, P.: J. Chem. Phys. 95, 2595 (1991)

    Article  ADS  CAS  Google Scholar 

  109. Bak, K.L., Gauss, J., Jørgensen, P., Olsen, J., Helgaker, T., Stanton, J.F.: J. Chem. Phys. 114, 6548 (2001)

    Article  ADS  CAS  Google Scholar 

  110. Bak, K.L., Jørgensen, P., Olsen, J., Helgaker, T., Klopper, W.: J. Chem. Phys. 112, 9229 (2000)

    Article  ADS  CAS  Google Scholar 

  111. Bak, K.L., Halkier, A., Jørgensen, P., Olsen, J., Helgaker, T., Klopper, W.: J. Mol. Struct. 567, 375 (2001)

    Article  Google Scholar 

  112. Martin, J.M.L.: J. Chem. Phys. 100, 8186 (1994)

    Article  ADS  CAS  Google Scholar 

  113. Ruden, T.A., Helgaker, T., Jørgensen, P., Olsen, J.: J. Chem. Phys. 121, 5874 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

  114. Auer, A.A., Gauss, J., Stanton, J.F.: J. Chem. Phys. 118, 10407 (2003)

    Article  ADS  CAS  Google Scholar 

  115. ACES2 (Mainz-Austin-Budapest version), a quantum- chemical program package for high-level calculations of energies and properties by J.F.Stanton et al., see http://www.aces2.de.

    Google Scholar 

  116. Koch, H., Sánchez de Merás, A., Helgaker, T., Christiansen, O.: J. Chem. Phys. 104, 4157 (1996)

    Article  ADS  CAS  Google Scholar 

  117. Koch, H., Christiansen, O., Kobayashi, R., Jørgensen, P., Helgaker, T.: Chem. Phys. Lett. 228, 233 (1994)

    Article  ADS  CAS  Google Scholar 

  118. Helgaker, T., Jensen, H.J. Å., Jørgensen, P., Olsen, J., Ruud, K., Ågren, H., Auer, A.A., Bak, K.L., Bakken, V., Christiansen, O., Coriani, S., Dahle, P., Dalskov, E.K., Enevoldsen, T., Fernandez, B., Hättig, C., Hald, K., Halkier, A., Heiberg, H., Hettema, H., Jonsson, D., Kirpekar, S., Kobayashi, R., Koch, H., Mikkelsen, K.V., Norman, P., Packer, M.J., Pedersen, T.B., Ruden, T.A., Sanchez, A., Saue, T., Sauer, S.P.A., Schimmelpfennig, B., Sylvester-Hvid, K.O., Taylor, P.R., Vahtras, O.: dalton – an electronic structure program, release 1.2 (2001)

    Google Scholar 

  119. Hättig, C.: Coupled-Cluster-Methoden zur Berechnung nichtlinearer optischer Eigenschaften und angeregter Zustände von Molekülen. Habil. Thesis, University of Karlsruhe (2003)

    Google Scholar 

  120. Dunning, T.H.: J. Chem. Phys. 90, 1007 (1989)

    Article  ADS  CAS  Google Scholar 

  121. Kendall, R.A., Dunning, T.H., Harrison, R.J.: J. Chem. Phys. 96, 6796 (1992)

    Article  ADS  CAS  Google Scholar 

  122. Woon, D.E., Dunning, T.H.: J. Chem. Phys. 98, 1358 (1993)

    Article  ADS  CAS  Google Scholar 

  123. Woon, D.E., Dunning, T.H.: J. Chem. Phys. 100, 2975 (1994)

    Article  ADS  CAS  Google Scholar 

  124. Hättig, C., Koch, H., Jørgensen, P.: J. Chem. Phys. 109, 3293 (1998)

    Article  ADS  Google Scholar 

  125. Høst, S., Jørgensen, P., Köhn, A., Pawłowski, F., Klopper, W., Hättig, C.: J. Chem. Phys. 123, 094303 (2005)

    Article  CAS  Google Scholar 

  126. Koch, H., Kobayashi, R., Jørgensen, P.: Int. J. Quantum Chem. 49, 835 (1994)

    Article  CAS  Google Scholar 

  127. Aiga, F., Sasagane, K., Itoh, R.: Int. J. Quantum Chem. 51, 87 (1994)

    Article  CAS  Google Scholar 

  128. Christiansen, O., Koch, H., Jørgensen, P., Olsen, J.: Chem. Phys. Lett. 256, 185 (1996)

    Article  CAS  Google Scholar 

  129. Larsen, H., Hald, K., Olsen, J., Jørgensen, P.: J. Chem. Phys. 115, 3015 (2001)

    Article  ADS  CAS  Google Scholar 

  130. Larsen, H., Olsen, J., Jørgensen, P., Christiansen, O.: J. Chem. Phys. 113, 6677 (2000). Erratum ibid. 114 10985 (2001)

    Google Scholar 

  131. Klopper, W., Coriani, S., Helgaker, T., Jørgensen, P.: J. Phys. B. 37, 3753 (2004)

    Article  ADS  CAS  Google Scholar 

  132. Stephens, P.J.: Ann. Rev. Phys. Chem. 25, 201 (1974)

    Article  CAS  Google Scholar 

  133. Stephens, P.J.: Adv. Chem. Phys. 35, 197 (1976)

    Article  CAS  Google Scholar 

  134. Buckingham, A.D.: J. Chem. Phys. 30, 1580 (1959)

    Article  CAS  Google Scholar 

  135. Buckingham, A.D., Longuet-Higgins, H.C.: Mol. Phys. 14, 63 (1968)

    Article  ADS  CAS  Google Scholar 

  136. Cotton, A., Mouton, M.: Compt. Rend. 141, 317 (1905)

    CAS  Google Scholar 

  137. Buckingham, A.D., Pople, J.A.: Proc. Phys. Soc. B. 69, 1133 (1956)

    Article  ADS  Google Scholar 

  138. Kerr, J.: Phil. Mag. 4 (50), 337 (1875)

    Google Scholar 

  139. Kerr, J.: Phil. Mag. 4 (50), 416 (1875)

    Google Scholar 

  140. Jones, R.C.: J. Opt. Soc. Am. 38, 671 (1948)

    Google Scholar 

  141. Graham, E.B., Raab, R.E.: Proc. R. Soc. Lond. A. 390, 73 (1983)

    ADS  CAS  Google Scholar 

  142. Pockels, F.: Radium. 10, 152 (1913)

    CAS  Google Scholar 

  143. Graham, E.B., Raab, R.E.: Mol. Phys. 52, 1241 (1984)

    Article  CAS  Google Scholar 

  144. Wolinski, K., Hinton, J., Pulay, P.: J. Am. Chem. Soc. 112, 8251 (1990)

    Article  CAS  Google Scholar 

  145. Faraday, M.: Philos. Mag. 28, 294 (1846)

    Google Scholar 

  146. Faraday, M.: Philos. Trans. R. Soc. London. 136, 1 (1846)

    Google Scholar 

  147. Verdet, E.M.: Ann. Chimie (3rd Ser.). 41, 370 (1854)

    Google Scholar 

  148. Snyder, P.A., Hansen, R.W.C., Rowe, E.M.: J. Phys. Chem. 100, 17756 (1996)

    Article  CAS  Google Scholar 

  149. Coriani, S., Hättig, C., Rizzo, A.: J. Chem. Phys. 111, 7828 (1999)

    Article  ADS  CAS  Google Scholar 

  150. Bishop, D.M., Cybulski, S.M.: J. Chem. Phys. 93, 590 (1990)

    Article  ADS  CAS  Google Scholar 

  151. Ingersoll, L.R., Liebenberg, D.H.: J. Opt. Soc. Am. 46, 538 (1956)

    CAS  Google Scholar 

  152. Bishop, D.M., Sauer, S.P.A.: J. Chem. Phys. 107, 8502 (1997)

    Article  ADS  CAS  Google Scholar 

  153. Ruud, K., Åstrand, P.-O., Taylor, P.R.: J. Chem. Phys. 112, 2668 (2000)

    Article  ADS  CAS  Google Scholar 

  154. Stanton, J.: Mol. Phys. 97, 841 (1999)

    Article  CAS  Google Scholar 

  155. Gray, D.L., Robiette, A.G.: Mol. Phys. 37, 1901 (1979)

    Article  CAS  Google Scholar 

  156. Herranz, J., Stoicheff, B.P.: J. Mol. Spectr. 10, 448 (1963)

    Article  ADS  CAS  Google Scholar 

  157. Gauss, J., Stanton, J.: Adv. Chem. Phys. 123, 355 (2003)

    Article  Google Scholar 

  158. Imrie, D.A., Raab, R.E.: Mol. Phys. 74, 833 (1991)

    Article  CAS  Google Scholar 

  159. Coriani, S., Halkier, A., Rizzo, A.: The electric-field-gradient-induced birefringence and the determination of molecular quadrupole moments. In: Pandalai, G. (ed.) Recent Research Developments in Chemical Physics, Vol. 2, pg. 1, Transworld Scientific, Kerala, India (2001)

    Google Scholar 

  160. Buckingham, A.D., Jamieson, M.J.: Mol. Phys. 22, 117 (1971)

    Article  ADS  CAS  Google Scholar 

  161. Coriani, S., Hättig, C., Jørgensen, P., Rizzo, A., Ruud, K.: J. Chem. Phys. 109, 7176 (1998)

    Article  ADS  Google Scholar 

  162. Coriani, S., Halkier, A., Rizzo, A., Ruud, K.: Chem. Phys. Lett. 326, 269 (2000)

    Article  CAS  Google Scholar 

  163. Cappelli, C., Ekström, U., Rizzo, A., Coriani, S.:(2004) J. Comp. Meth. Sci. Eng. (JCMSE). 4, 365

    CAS  Google Scholar 

  164. Rizzo, A., Coriani, S., Halkier, A., Hättig, C.: J. Chem. Phys. 113, 3077 (2000)

    Article  ADS  CAS  Google Scholar 

  165. Coriani, S., Halkier, A., Jonsson, D., Gauss, J., Rizzo, A., Christiansen, O.: J. Chem. Phys. 118, 7329 (2003)

    Article  ADS  CAS  Google Scholar 

  166. Russell, A.J., Spackman, M.A.: Mol. Phys. 88, 1109 (1996)

    Article  CAS  Google Scholar 

  167. Graham, C., Imrie, D.A., Raab, R.E.: Mol. Phys. 93, 49 (1998)

    Article  CAS  Google Scholar 

  168. Buckingham, A.D., Disch, R.L.: Proc. Roy. Soc. A. 273, 275 (1963)

    ADS  CAS  Google Scholar 

  169. Halkier, A., Coriani, S., Jørgensen, P.: Chem. Phys. Lett. 294, 292 (1998)

    Article  CAS  Google Scholar 

  170. Ritchie, G.L.D., Watson, J.N., Keir, R.I.: Chem. Phys. Lett. 370, 376 (2003)

    Article  CAS  Google Scholar 

  171. Halkier, A., Coriani, S.: Chem. Phys. Lett. 303, 408 (1999)

    Article  CAS  Google Scholar 

  172. Watson, J.N., Craven, I.E., Ritchie, G.L.D.: Chem. Phys. Lett. 274, 1 (1997)

    Article  CAS  Google Scholar 

  173. Keir, R.I., Lamb, D.W., Ritchie, G.L.D., Watson, J.N.: Chem. Phys. Lett. 279, 22 (1997)

    Article  CAS  Google Scholar 

  174. Battaglia, M.R., Buckingham, A.D., Neumark, D., Pierens, R.K., Williams, J.H.: Mol. Phys. 43, 1015 (1981)

    Article  CAS  Google Scholar 

  175. Ritchie, G.L.D.: Field-gradient induced birefringence: a direct route to molecular quadrupole moments. In Clary, D.C., Orr, B., (eds) Optical, Electric and Magnetic Properties of Molecules, pg. 67, Elsevier, Amsterdam, The Netherlands (1997)

    Google Scholar 

  176. Buckingham, A.D., Disch, R.L., Dunmur, D.A.: J. Am. Chem. Soc. 90, 3104 (1968)

    Article  CAS  Google Scholar 

  177. de Lange, O.L., Raab, R.E.: Mol. Phys. 102, 125 (2004)

    Article  Google Scholar 

  178. Raab, R.E., de Lange, O.L.: Mol. Phys. 101, 3467 (2003)

    Article  CAS  Google Scholar 

  179. Rizzo, C., Rizzo, A., Bishop, D.M.: Int. Rev. Phys. Chem. 16, 81 (1997)

    Article  CAS  Google Scholar 

  180. Rizzo, A., Rizzo, C.: Mol. Phys. 96, 973 (1999)

    Article  CAS  Google Scholar 

  181. Muroo, K., Ninomiya, N., Yoshino, M., Takubo, Y.: J. Opt. Soc. Am. B. 20, 2249 (2003)

    ADS  CAS  Google Scholar 

  182. Cameron, R., Cantatore, G., Melissinos, A.C., Rogers, J., Semertzidis, Y., Halama, H., Prodell, A., Nezrick, F.A., Rizzo, C., Zavattini, E.: J. Opt. Soc. Am. B. 8, 520 (1991)

    Article  ADS  CAS  Google Scholar 

  183. Carusotto, S., Iacopini, E., Polacco, E., Scuri, F., Stefanini, G., Zavattini, E.: J. Opt. Soc. Am. B. 1, 635 (1984)

    ADS  CAS  Google Scholar 

  184. Rizzo, A., Coriani, S.: J. Chem. Phys. 119, 11064 (2003)

    Article  ADS  CAS  Google Scholar 

  185. Pawłowski, F., Jørgensen, P., Rizzo, A., Hättig, C.: to be published

    Google Scholar 

  186. Rikken, G.L.J.A., Raupach, E., Roth, T.: Physica B. 294–295, 1 (2001)

    Article  Google Scholar 

  187. Roth, T., Rikken, G.L.J.A.: Phys. Rev. Lett. 85, 4478 (2000)

    Article  PubMed  ADS  CAS  Google Scholar 

  188. Roth, T.: Experimental verification of the Jones birefringence induced in liquids. Diploma thesis, Darmstadt University of Technology and Grenoble High Magnetic Field Laboratory (2000)

    Google Scholar 

  189. Rizzo, A., Cappelli, C., Jansík, B., Jonsson, D., Sałek, P., Coriani, S., Ågren, H.: J. Chem. Phys. 121, 8814 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

  190. Rizzo, A., Cappelli, C., Jansík, B., Jonsson, D., Sałek, P., Coriani, S., Wilson, D.J.D., Helgaker, T., Ågren, H.: J. Chem. Phys. 122, 234314 (2005)

    Article  PubMed  CAS  Google Scholar 

  191. Koch, H., Jensen, H.J.A., Jørgensen, P., Helgaker, T.: J. Chem. Phys. 93, 3345 (1990)

    Article  ADS  CAS  Google Scholar 

  192. Christiansen, O., Koch, H., Halkier, A., Jørgensen, P., Helgaker, T., Sánchez de Merás, A.M.: J. Chem. Phys. 105, 6921 (1996)

    Article  ADS  CAS  Google Scholar 

  193. Christiansen, O., Koch, H., Jørgensen, P., Helgaker, T.: Chem. Phys. Lett. 263, 530 (1996)

    Article  CAS  Google Scholar 

  194. Koch, H., Kobayashi, R., Sánchez de Merás, A., Jørgensen, P.: J. Chem. Phys. 100, 4393 (1994)

    Article  ADS  CAS  Google Scholar 

  195. Datta, B., Sen, P., Mukherjee, D.: J. Phys. Chem. 99, 6441 (1995)

    Article  CAS  Google Scholar 

  196. Stanton, J.F., Bartlett, R.J.: J. Chem. Phys. 99, 5178 (1993)

    Article  ADS  CAS  Google Scholar 

  197. Hald, K., Jørgensen, P., Olsen, J., Jaszuński, M.: J. Chem. Phys. 115, 671 (2001)

    Article  ADS  CAS  Google Scholar 

  198. Stanton, J.F., Gauss, J.: J. Chem. Phys. 100, 4695 (1994)

    Article  ADS  CAS  Google Scholar 

  199. Gwaltney, S.R., Bartlett, R.J.: J. Chem. Phys. 110, 62 (1999)

    Article  ADS  CAS  Google Scholar 

  200. Nooijen, M., Bartlett, R.J.: J. Chem. Phys. 102, 3629 (1995)

    Article  ADS  CAS  Google Scholar 

  201. Watts, J.D., Bartlett, R.J.: Chem. Phys. Lett. 233, 81 (1995)

    Article  ADS  CAS  Google Scholar 

  202. Hättig, C., Weigend, F.: J. Chem. Phys. 113, 5154 (2000)

    Article  ADS  Google Scholar 

  203. Rozyczko, P., Perera, S.A., Nooijen, M., Bartlett, R.J.: J. Chem. Phys. 107, 6736 (1997)

    Article  ADS  CAS  Google Scholar 

  204. Smith, C.E., King, R.A., Crawford, T.D.: J. Chem. Phys. 122, 054110 (2004)

    Article  CAS  Google Scholar 

  205. Sałek, P., Helgaker, T., Saue, T.: Chem. Phys. 311, 187 (2005)

    Article  CAS  Google Scholar 

  206. Norman, P., Schimmelpfennig, B., Ruud, K., Jensen, H.J.A., Ågren, H.: J. Chem. Phys. 116, 6914 (2002)

    Article  ADS  CAS  Google Scholar 

  207. Cai, Z.L., Sendt, K., Reimers, J.R.: J. Chem. Phys. 117, 5543 (2002)

    Article  ADS  CAS  Google Scholar 

  208. Sałek, P., Helgaker, T., Vahtras, O., Ågren, H., Jonsson, D., Gauss, J.: Mol. Phys. 103, 439 (2005)

    Article  CAS  Google Scholar 

  209. Korona, T., Pflüger, K., Werner, H.-J.: Phys. Chem. Chem. Phys. 6, 2059 (2004)

    Article  CAS  Google Scholar 

  210. Russ, N., Crawford, T.: Chem. Phys. Lett. 400, 104 (2004)

    Article  CAS  Google Scholar 

  211. Pedersen, T.B., Sánchez de Merás, A.M., Koch, H.: J. Chem. Phys. 120, 8887 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

  212. Kongsted, J., Osted, A., Mikkelsen, K.V., Christiansen, O.: J. Chem. Phys. 119, 10519 (2003)

    Article  ADS  CAS  Google Scholar 

  213. Kongsted, J., Osted, A., Mikkelsen, K.V., Christiansen, O.: J. Chem. Phys. 120, 3787 (2004)

    Article  PubMed  ADS  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Christiansen, O. et al. (2006). Accurate Nonlinear Optical Properties for Small Molecules. In: Papadopoulos, M.G., Sadlej, A.J., Leszczynski, J. (eds) Non-Linear Optical Properties of Matter. Challenges and Advances in Computational Chemistry and Physics, vol 1. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4850-5_2

Download citation

Publish with us

Policies and ethics

Navigation