2018
DOI: 10.1002/pssb.201700668
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Ab Initio Study on Structure, Elastic, and Mechanical Properties of Lanthanide Sesquioxides

Abstract: The structural, mechanical and elastic properties of industrially important Ctype lanthanide sesquioxides, Ln 2 O 3 (Ln ¼ Pm, Sm, Eu, Gd, Tb, Dy), are studied by employing ab initio electronic structure calculations. The calculated lattice parameters for Ln 2 O 3 match very well with the experimental crystal structures and clearly reproduce the lanthanide contraction across the lanthanide series. Similarly, the elastic constants, bulk modulus and other mechanical properties obtained from our calculations are i… Show more

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Cited by 21 publications
(23 citation statements)
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“…Opposite to the overall tendency, the region corresponding to the RE SOs shows a decrease (increase) of the zero-pressure volume (bulk modulus) with increasing Z , in good agreement with previous calculations. 80 , 86 …”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Opposite to the overall tendency, the region corresponding to the RE SOs shows a decrease (increase) of the zero-pressure volume (bulk modulus) with increasing Z , in good agreement with previous calculations. 80 , 86 …”
Section: Resultsmentioning
confidence: 99%
“… 13 However, no experimental data are available, up to our knowledge, for A-type Tb 2 O 3 to compare with theoretical estimations. 76 , 79 , 84 , 86 The lack of studies on Tb 2 O 3 lies in the difficulty of synthesizing this material that usually crystallizes at room conditions in the C-type structure. The reason for the difficult synthesis of Tb 2 O 3 is the tendency of terbium oxide to grow naturally as Tb 4 O 7 , a mixed valence compound with Tb atoms in both 3+ and 4+ valence states.…”
Section: Introductionmentioning
confidence: 99%
“…Also, upon cooling the pillar shrinkage can lead to a further in-plane compression of the SMO matrix 21 . This is because the BSO is stiffer than the SMO 21,[23][24][25][26] .…”
Section: Discussionmentioning
confidence: 99%
“…In this work, we choose BSO as the nanopillar phase owing to the fact that any Bi substitution into SMO should not be strongly detrimental to the magnetic or FE properties of SMO, and also because of the relatively low melting point of Bi 2 O 3 which should mean high crystalline perfection of the pillars. Also, the relatively higher stiffness of BSO compared to SMO 21,[23][24][25][26] means the BSO should control the strain in the SMO.…”
mentioning
confidence: 99%
“…Lame's coefficients, namely the first coefficient (Λ) and the second coefficient (μ), are other fascinating mechanical parameters of materials resulting from the stressstrain relationship. For homogeneous isotropic compounds, the three-dimensional Hook's law is defined as 52 :…”
Section: Elastic Propertiesmentioning
confidence: 99%