1977
DOI: 10.1088/0022-3719/10/18/002
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Covalency in cubic lanthanide sesquioxides

Abstract: The overlap integrals (2s mod 4f), (2p sigma mod 4f), and (2p pi mod 4f) have been calculated for the entire series of cubic lanthanide sesquioxides (C-Ln2O3) through analytical five-term (2s, 2p: O2-) and four-term (4f:Ln3+) ground-state wavefunctions. The set of distances used for C2 and C3i cation sites is reported for the first time. It has been found that only pi -type electron delocalisation is feasible within the fragment Ln3+-O2-; the respective overlap integrals vary from 0.12 to 0.03.

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Cited by 9 publications
(5 citation statements)
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“…Angelov [17] [14], Er [19] where the ionic radius of Fe 3+ is 3 pm longer than that of Co 3+ . 1) Tb (1) Symmetry operators (1)ÀX+1,Y,Z (2)ÀX+1,Y,ÀZ+1/2 (3)X,Y,ÀZ+1/2 (4)ÀX+1,ÀY+1,ÀZ+1 (5)X,ÀY+1,ÀZ+1 (6)ÀX+1/2,Y+1/2À1,Z (7)ÀX+1/2,Y+1/2,Z Ln ¼ Tb) is much longer than the 209.1 pm reported for the Lu-N bond in a lutetium imido complex [20].…”
Section: Symmetry Operatorsmentioning
confidence: 98%
“…Angelov [17] [14], Er [19] where the ionic radius of Fe 3+ is 3 pm longer than that of Co 3+ . 1) Tb (1) Symmetry operators (1)ÀX+1,Y,Z (2)ÀX+1,Y,ÀZ+1/2 (3)X,Y,ÀZ+1/2 (4)ÀX+1,ÀY+1,ÀZ+1 (5)X,ÀY+1,ÀZ+1 (6)ÀX+1/2,Y+1/2À1,Z (7)ÀX+1/2,Y+1/2,Z Ln ¼ Tb) is much longer than the 209.1 pm reported for the Lu-N bond in a lutetium imido complex [20].…”
Section: Symmetry Operatorsmentioning
confidence: 98%
“…This small mixture evidences the ionic nature of the Sc-O bond in agreement with the picture of scandium sesquioxide as an ionic insulator with some degree of covalent bonding between Sc and O atoms. 54 Above the Fermi level, the conduction band is predominantly Sc 3d with an admixture of O 2p states.…”
Section: Figures 2͑a͒ and 2͑b͒mentioning
confidence: 99%
“…54 In the case of mainly ionic compounds, the simplest and most widely used approximation for the calculation of the EFG at a probe atom is the point-charge model ͑PCM͒. 16 In this approximation, the EFG tensor at the probe site is given by V ii PCM = ͑1 − ␥ ϱ ͒V ii latt , where V ii latt is the EFG tensor originating from the nominal-valence point charges located at the ion positions in the lattice and ␥ ϱ is the Sternheimer antishielding factor, 16 which depends only on the probe.…”
Section: Comparison With Other Calculationsmentioning
confidence: 99%
“…It is well known that the bonding in these sesquioxides is mainly ionic [20]. Under such conditions, the PCM [2,12] should be a good starting model to evaluate the EFG parameters at the two sites C and D. Using the lattice parameters and the atomic coordinates coming from the most accurate X-ray determinations quoted in the literature [21] and γ ∞ = −61.42 [22], the results of the PCM calculation (using a sphere radius of 20 nm) for both sites in Er…”
Section: The Bixbyite Structure Consequences On the Efg's And Point C...mentioning
confidence: 99%