85
Mater. Res. Soc. Symp. Proc. Vol. 1298 © 2011 Materials Research Society
DOI: 10.1557/opl.2011.544
First-Principles Investigation of Structural, Elastic and Electronic Properties
of Lanthanide Titanate Oxides Ln
2
TiO
5
Hui Niu,
1
Huiyang Gou,
1
Rodney C. Ewing
2
and Jie Lian
1
1
Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy,
NY 12180
2
Department of Geological Sciences, University of Michigan, Ann Arbor, MI 48105
ABSTRACT
Systematic first-principles calculations based on density functional theory were performed
on a wide range of Ln
2
TiO
5
compositions (Ln = La, Ce, Pr, Nd, Sm, Gd, Tb, Dy and Y) in order to
understand the correlation between structural, elastic and electronic properties. A complete set of
elastic parameters including elastic constants, Hill’s bulk moduli, shear moduli, Young’s moduli
and Poisson’s ratio, were calculated. All Ln
2
TiO
5
are ductile in nature, and analysis of densities of
states and charge densities suggests that the oxide bonds are highly ionic.
INTRODUCTION
Lanthanide-doped titanate ceramics with compositions of Ln
2
TiO
5
display high dielectrics
and outstanding mechanical strength, thermal stability and chemical resistance and thus have
important technological applications in nuclear enviornments. Specifically, Ln
2
TiO
5
can be used
as neutron absorbers in control rods for nuclear reactor operation due to their high thermal
neutron absorption cross-sections of lanthanides (such as Eu, Dy and Gd).
1-3
In addition,
nano-sized yttrium titanate oxides of Y
2
TiO
5
and Y
2
Ti
2
O
7
have been identified as an important
additive to strengthen oxide-dispersion strengthened (ODS), resulting in six orders of magnitudes
increase in the creep resistance.
4-5
These Y-Ti-O nanoclusters display great resistance toward
radiation damage and thermal annealing, and the fundamental understanding of the energetics,
electronic structure and the stabilizing mechanisms governing the phase stability will be critical
for designing advanced structural materials for nuclear applications. Previous theoretical
computations based on first-principles calculations reported that Y
2
TiO
5
has lower elastic
modulus of Y
2
TiO
5
as compared with iron matrix, which may provide more effective dislocation
pinning at high temperature through the mechanisms of activating barriers.
6
In this work, we
performed systematic first-principle calculations to investigate the structural, elastic and
electronic properties of a wide range of rare-earth titanate oxides Ln
2
TiO
5
(Ln =Y, La, Ce, Pr, Nd,
Sm, Gd, Tb, and Dy) as a function of chemical compositions. Our results show that these oxides
have high elastic modulus and toughness, and the electronic structure and nature of bond were
analyzed. These results may provide theoretical knowledge which may be useful for designing
advanced structural materials based on other rare-earth doped titanate oxides as strengthen
additive in ODS alloys or as neutron absorbers in control rods for nuclear applications.
COMPUTATION METHODOLOGY
All calculations were performed within the framework of density function theory (DFT)
using the Vienna ab initio simulation package (VASP)
7-8
. Pseudopotentials were generated from
projector-augmented wave (PAW) method with exchange-correlation functional determined by
the GGA parametrized by Perdew and Wang
9-10
. Pseudopotential of Ti was chosen with p