28. A. Haskopoulos, G. Maroulis, Interaction electric hyperpolarizability effects in weakly
bound H 2 OÁÁÁRg (Rg = He, Ne, Ar, Kr and Xe) complexes. J. Phys. Chem. A 114(33),
8730–8741 (2010)
29. A. Chantzis, G. Maroulis, Interaction-induced electric properties in Kr–Ne from ab initio and
DFT calculations. Is there a discrepancy between theory and experiment for the dipole
moment? Chem. Phys. Lett. 507(1–3), 42–47 (2011)
30. G. Maroulis, Interaction-induced electric properties. in Chemical Modelling; Applications
and Theory. vol. 9, ed. By M. Springborg (The Royal Society of Chemistry, 2012),
pp. 25–60
31. H. Reis, M.G. Papadopoulos, I. Boustani, DFT calculations of static dipole polarizabilities
and hyperpolarizabilities for the boron clusters B n (n = 3–8, 10). Int. J. Quant. Chem. 78(2),
131–135 (2000)
32. B. Skwara, W. Bartkowiak, A. Zawada, R.W. Góra, J. Leszczynski, On the cooperativity of
the interaction-induced (hyper)polarizabilities of the selected hydrogen-bonded trimers.
Chem. Phys. Lett. 436(1–3), 116–123 (2007)
33. B. Skwara, A. Zawada, W. Bartkowiak, On the many-body components of
interaction-induced electric properties: linear fluoroacetylene trimer as a case study.
Compt. Lett. 3(2–4), 175–182 (2007)
34. Y.-Z. Lan, Y.-L. Feng, Study of absorption spectra and (hyper)polarizabilities of SiC n and
Si n C (n = 2–6) clusters using density functional response approach. J. Chem. Phys. 131(5),
054509 (2009)
35. P. Karamanis, R. Marchal, P. Carbonniére, C. Pouchan, Doping-enhanced hyperpolarizabilities of silicon clusters: A global ab initio and density functional theory study of Si 10 (Li,
Na, K) n (n = 1, 2) clusters. J. Chem. Phys. 135(4), 044511 (2011)
36. W. Głaz, T. Bancewicz, The hyper-Rayleigh light scattering spectrum of gaseous Ne–Ar
mixture. J. Chem. Phys. 118(14), 6264–6269 (2003)
37. W. Głaz, T. Bancewicz, J.L. Godet, Hyper-Rayleigh spectral intensities of gaseous Kr–Xe
mixture. J. Chem. Phys. 122(22), 224323 (2005)
38. W. Głaz, T. Bancewicz, J.-L. Godet, G. Maroulis, A. Haskopoulos, Hyper-Rayleigh
light-scattering spectra determined by ab initio collisional hyperpolarizabilities of He-Ne
atomic pairs. Phys. Rev. A 73(4), 042708 (2006)
39. G. Maroulis, A. Haskopoulos, W. Głaz, T. Bancewicz, J.L. Godet, Collision-induced
hyperpolarizability and hyper-Rayleigh spectra in the He–Ar heterodiatom. Chem. Phys.
Lett. 428(1–3), 28–33 (2006)
40. T. Bancewicz, W. Głaz, J.-L. Godet, Moments of hyper-Rayleigh spectra of selected rare gas
mixtures. J. Chem. Phys. 127(13), 134308 (2007)
41. T. Bancewicz, W. Głaz, J.-L. Godet, G. Maroulis, Collision-induced hyper-Rayleigh
spectrum of H 2 –Ar gas mixture. J. Chem. Phys. 129(12), 124306 (2008)
42. J.-L. Godet, T. Bancewicz, W. Głaz, G. Maroulis, A. Haskopoulos, Binary rototranslational
hyper-Rayleigh spectra of H 2 –He gas mixture. J. Chem. Phys. 131(20), 204305 (2009)
43. T. Bancewicz, J.-L. Godet, G. Maroulis, Collision-induced hyper-Rayleigh spectrum of
octahedral molecules: the case of SF 6 . J. Chem. Phys. 115(18), 8547–8551 (2001)
44. G. Maroulis, A systematic study of basis set, electron correlation, and geometry effects on
the electric multipole moments, polarizability, and hyperpolarizability of HCl. J. Chem.
Phys. 108(13), 5432–5448 (1998)
45. S.F. Boys, F. Bernardi, The calculations of small molecular interaction by the difference of
separate total energies—some procedures with reduced error. Mol. Phys. 19, 553–566
(1970)
46. X. Li, K.L.C. Hunt, J. Pipin, D.M. Bishop, Long-range, collision-induced hyperpolarizabilities of atoms or centrosymmetric linear molecules: Theory and numerical results for
pairs containing H or He. J. Chem. Phys. 105(24), 10954–10968 (1996)
47. H.B. Callen, T.A. Welton, Irreversibility and generalized noise. Phys. Rev. 83(1), 34–40
(1951)
48. L.D. Landau, E.M. Lifshitz, Statistical Physics (Pergamon, Oxford, 1980)
98
5 Interaction-induced Hyperpolarizability
bound H 2 OÁÁÁRg (Rg = He, Ne, Ar, Kr and Xe) complexes. J. Phys. Chem. A 114(33),
8730–8741 (2010)
29. A. Chantzis, G. Maroulis, Interaction-induced electric properties in Kr–Ne from ab initio and
DFT calculations. Is there a discrepancy between theory and experiment for the dipole
moment? Chem. Phys. Lett. 507(1–3), 42–47 (2011)
30. G. Maroulis, Interaction-induced electric properties. in Chemical Modelling; Applications
and Theory. vol. 9, ed. By M. Springborg (The Royal Society of Chemistry, 2012),
pp. 25–60
31. H. Reis, M.G. Papadopoulos, I. Boustani, DFT calculations of static dipole polarizabilities
and hyperpolarizabilities for the boron clusters B n (n = 3–8, 10). Int. J. Quant. Chem. 78(2),
131–135 (2000)
32. B. Skwara, W. Bartkowiak, A. Zawada, R.W. Góra, J. Leszczynski, On the cooperativity of
the interaction-induced (hyper)polarizabilities of the selected hydrogen-bonded trimers.
Chem. Phys. Lett. 436(1–3), 116–123 (2007)
33. B. Skwara, A. Zawada, W. Bartkowiak, On the many-body components of
interaction-induced electric properties: linear fluoroacetylene trimer as a case study.
Compt. Lett. 3(2–4), 175–182 (2007)
34. Y.-Z. Lan, Y.-L. Feng, Study of absorption spectra and (hyper)polarizabilities of SiC n and
Si n C (n = 2–6) clusters using density functional response approach. J. Chem. Phys. 131(5),
054509 (2009)
35. P. Karamanis, R. Marchal, P. Carbonniére, C. Pouchan, Doping-enhanced hyperpolarizabilities of silicon clusters: A global ab initio and density functional theory study of Si 10 (Li,
Na, K) n (n = 1, 2) clusters. J. Chem. Phys. 135(4), 044511 (2011)
36. W. Głaz, T. Bancewicz, The hyper-Rayleigh light scattering spectrum of gaseous Ne–Ar
mixture. J. Chem. Phys. 118(14), 6264–6269 (2003)
37. W. Głaz, T. Bancewicz, J.L. Godet, Hyper-Rayleigh spectral intensities of gaseous Kr–Xe
mixture. J. Chem. Phys. 122(22), 224323 (2005)
38. W. Głaz, T. Bancewicz, J.-L. Godet, G. Maroulis, A. Haskopoulos, Hyper-Rayleigh
light-scattering spectra determined by ab initio collisional hyperpolarizabilities of He-Ne
atomic pairs. Phys. Rev. A 73(4), 042708 (2006)
39. G. Maroulis, A. Haskopoulos, W. Głaz, T. Bancewicz, J.L. Godet, Collision-induced
hyperpolarizability and hyper-Rayleigh spectra in the He–Ar heterodiatom. Chem. Phys.
Lett. 428(1–3), 28–33 (2006)
40. T. Bancewicz, W. Głaz, J.-L. Godet, Moments of hyper-Rayleigh spectra of selected rare gas
mixtures. J. Chem. Phys. 127(13), 134308 (2007)
41. T. Bancewicz, W. Głaz, J.-L. Godet, G. Maroulis, Collision-induced hyper-Rayleigh
spectrum of H 2 –Ar gas mixture. J. Chem. Phys. 129(12), 124306 (2008)
42. J.-L. Godet, T. Bancewicz, W. Głaz, G. Maroulis, A. Haskopoulos, Binary rototranslational
hyper-Rayleigh spectra of H 2 –He gas mixture. J. Chem. Phys. 131(20), 204305 (2009)
43. T. Bancewicz, J.-L. Godet, G. Maroulis, Collision-induced hyper-Rayleigh spectrum of
octahedral molecules: the case of SF 6 . J. Chem. Phys. 115(18), 8547–8551 (2001)
44. G. Maroulis, A systematic study of basis set, electron correlation, and geometry effects on
the electric multipole moments, polarizability, and hyperpolarizability of HCl. J. Chem.
Phys. 108(13), 5432–5448 (1998)
45. S.F. Boys, F. Bernardi, The calculations of small molecular interaction by the difference of
separate total energies—some procedures with reduced error. Mol. Phys. 19, 553–566
(1970)
46. X. Li, K.L.C. Hunt, J. Pipin, D.M. Bishop, Long-range, collision-induced hyperpolarizabilities of atoms or centrosymmetric linear molecules: Theory and numerical results for
pairs containing H or He. J. Chem. Phys. 105(24), 10954–10968 (1996)
47. H.B. Callen, T.A. Welton, Irreversibility and generalized noise. Phys. Rev. 83(1), 34–40
(1951)
48. L.D. Landau, E.M. Lifshitz, Statistical Physics (Pergamon, Oxford, 1980)
98
5 Interaction-induced Hyperpolarizability