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Volumn 43, Issue 14, 1991, Pages 11978-11990

Influence of d orbitals on the nonlinear optical response of transparent transition-metal oxides

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Indexed keywords


EID: 0001452994     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.43.11978     Document Type: Article
Times cited : (117)

References (42)
  • 5
    • 84926585596 scopus 로고    scopus 로고
    • J. C. Slater, The Self-Consistent Field for Molecules and Solids, Vol. 4: Quantum Theory of Molecules and Solids (McGraw Hill, New York, 1974).
  • 6
    • 84926559081 scopus 로고    scopus 로고
    • The subscript sp is used here to designate the parentage of the cationic orbital | hMrangle associated with the virtual excitations which are responsible for this polarizability.
  • 16
    • 84926600555 scopus 로고    scopus 로고
    • Deduced from measurements on LiNbO3 and LiTaO3 by subtracting out a Li2O contribution. Data from Handbook of Laser Science and Technology, Vol. III, Part 1, edited by M. J. Weber (CRC Press, Boca Raton, FL, 1986).
  • 19
    • 84926574927 scopus 로고    scopus 로고
    • Crystal Structures, Vols. 1 and 2 (Kreiger, Malabar, FL 1982).
    • Wyckoff, R.W.G.1
  • 29
    • 84926547141 scopus 로고    scopus 로고
    • The parameters d and epsilon are arithmetic means for cases involving unequal nearest-neighbor bond lengths or unequal components of dielectric constant along the principal dielectric axes.
  • 30
    • 84926584995 scopus 로고    scopus 로고
    • Note that L=d - x0 in terms of the notation of Ref. 1 since we have measured x and Ex from anion to cation in this paper while the cation to anion direction was chosen in Ref. 1. Responses χb(1) and χb(3) are unaffected, but χb(2) of this paper differs in sign from that in Refs. 1 and 2.
  • 34
    • 84926533110 scopus 로고    scopus 로고
    • The value f =1 has been confirmed as relevant for the pretransition-metal halides (Ref. 29). Its likely value in the context of TM oxides will be discused below. Meanwhile, since S2<< 1, we note from Eq. (5.6) that for f != 1, adequate values of S and alpha can be deduced immediately from the f=1 values by scaling as S app α app 1/f1/2.
  • 35
    • 84926534103 scopus 로고    scopus 로고
    • The peak in the V2sprime curve as a function of d is not unexpected for one-electron Hamiltonian matrix elements involving d orbitals; see, for example, Ref. 3.
  • 36
    • 84926568108 scopus 로고    scopus 로고
    • This statement is not quite true since, for values f != 1, values of S, alpha, S prime, α prime, etc., also depend on f via Eqs. (5.6) and (5.10). A self-consistent calculation shows that n2(av) varies with f more closely as f3.4+-0.1 .
  • 38
    • 84926595516 scopus 로고    scopus 로고
    • Standard values quoted in the literature provide n2 scales which differ from one another by up to a factor of 6.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.