8 research outputs found
Comparison of the Site Occupancies Determined by Combined Rietveld Refinement and Density Functional Theory Calculations: Example of the Ternary MoāNiāRe Ļ Phase
The site occupancies of the MoāNiāRe Ļ
phase
have been studied as a function of the composition in the ternary
homogeneity domain by both experimental measurements and calculations.
Because of the possible simultaneous occupancy of three elements on
the five sites of the crystal structure, the experimental determination
of the site occupancies was achieved by using combined Rietveld refinement
of X-ray and neutron diffraction data, whereas calculation of the
site occupancies was carried out by using the density functional theory
results of every ordered (i.e., 3<sup>5</sup> = 243) configuration
appearing in the ternary system. A comparison of the experimental
and calculation results showed good agreement, which suggests that
the topologically close-packed phases, such as the Ļ phase,
could be described by the BraggāWilliams approximation (i.e.,
ignoring the short-range-order contributions). On the other hand,
the atomic distribution on different crystallographic sites of the
MoāNiāRe Ļ phase was found to be governed by the
atomic sizes. Ni, having the smallest atomic size, showed a preference
for low-coordination-number (CN) sites, whereas Mo, being the largest
in atomic size, preferred occupying high-CN sites. However, the preference
of Re, having intermediate atomic size, varied depending on the composition,
and a clear reversal in the preference of Re as a function of the
composition was evidenced in both the calculated and experimental
site-occupancy results
Ļ and Ļ Phases in Binary RheniumāTransition Metal Systems: a Systematic First-Principles Investigation
The
FrankāKasper phases, known as topologically close-packed (tcp)
phases, are interesting examples of intermetallic compounds able to
accommodate large homogeneity ranges by atom mixing on different sites.
Among them, the Ļ and Ļ phases present two competing complex
crystallographic structures, the stability of which is driven by both
geometric and electronic factors. Rhenium (Re) is the element forming
the largest number of binary Ļ and Ļ phases. Its central
position among the transition metals in the periodic table plays an
important role in the element ordering in tcp phases. Indeed, it has
been shown that Re shows an opposite site preference depending on
which elements it is alloyed with. In the present work, Ļ- and
Ļ-phase stability in binary Reā<i>X</i> systems
is systematically studied by a first-principles investigation. The
heats of formation of the complete set of ordered configurations (16
for Ļ and 32 for Ļ) have been calculated in 16 well-chosen
systems to identify stability criteria. They include not only the
systems in which Ļ-Reā<i>X</i> (<i>X</i> = Ti, Mn, Zr, Nb, Mo, Hf, Ta, W) or Ļ-Reā<i>X</i> (<i>X</i> = V, Cr, Mn, Fe, Nb, Mo, Ta, W) exist but also
the systems in which both phases are not stable, including systems
in which <i>X</i> is a 3<i>d</i> element from
Ti to Ni, a 4<i>d</i> element from Zr to Ru, and a 5<i>d</i> element from Hf to Os. Careful analysis is done of the
energetic tendencies as a function of recomposition, size effect,
and electron concentration. Moreover, the site preference and other
crystallographic properties are discussed. Conclusions are drawn concerning
the relative stability of the two phases in comparison with the available
experimental knowledge on the systems
Ļ and Ļ Phases in Binary RheniumāTransition Metal Systems: a Systematic First-Principles Investigation
The
FrankāKasper phases, known as topologically close-packed (tcp)
phases, are interesting examples of intermetallic compounds able to
accommodate large homogeneity ranges by atom mixing on different sites.
Among them, the Ļ and Ļ phases present two competing complex
crystallographic structures, the stability of which is driven by both
geometric and electronic factors. Rhenium (Re) is the element forming
the largest number of binary Ļ and Ļ phases. Its central
position among the transition metals in the periodic table plays an
important role in the element ordering in tcp phases. Indeed, it has
been shown that Re shows an opposite site preference depending on
which elements it is alloyed with. In the present work, Ļ- and
Ļ-phase stability in binary Reā<i>X</i> systems
is systematically studied by a first-principles investigation. The
heats of formation of the complete set of ordered configurations (16
for Ļ and 32 for Ļ) have been calculated in 16 well-chosen
systems to identify stability criteria. They include not only the
systems in which Ļ-Reā<i>X</i> (<i>X</i> = Ti, Mn, Zr, Nb, Mo, Hf, Ta, W) or Ļ-Reā<i>X</i> (<i>X</i> = V, Cr, Mn, Fe, Nb, Mo, Ta, W) exist but also
the systems in which both phases are not stable, including systems
in which <i>X</i> is a 3<i>d</i> element from
Ti to Ni, a 4<i>d</i> element from Zr to Ru, and a 5<i>d</i> element from Hf to Os. Careful analysis is done of the
energetic tendencies as a function of recomposition, size effect,
and electron concentration. Moreover, the site preference and other
crystallographic properties are discussed. Conclusions are drawn concerning
the relative stability of the two phases in comparison with the available
experimental knowledge on the systems
Comparison of the Site Occupancies Determined by Combined Rietveld Refinement and Density Functional Theory Calculations: Example of the Ternary MoāNiāRe Ļ Phase
The site occupancies of the MoāNiāRe Ļ
phase
have been studied as a function of the composition in the ternary
homogeneity domain by both experimental measurements and calculations.
Because of the possible simultaneous occupancy of three elements on
the five sites of the crystal structure, the experimental determination
of the site occupancies was achieved by using combined Rietveld refinement
of X-ray and neutron diffraction data, whereas calculation of the
site occupancies was carried out by using the density functional theory
results of every ordered (i.e., 3<sup>5</sup> = 243) configuration
appearing in the ternary system. A comparison of the experimental
and calculation results showed good agreement, which suggests that
the topologically close-packed phases, such as the Ļ phase,
could be described by the BraggāWilliams approximation (i.e.,
ignoring the short-range-order contributions). On the other hand,
the atomic distribution on different crystallographic sites of the
MoāNiāRe Ļ phase was found to be governed by the
atomic sizes. Ni, having the smallest atomic size, showed a preference
for low-coordination-number (CN) sites, whereas Mo, being the largest
in atomic size, preferred occupying high-CN sites. However, the preference
of Re, having intermediate atomic size, varied depending on the composition,
and a clear reversal in the preference of Re as a function of the
composition was evidenced in both the calculated and experimental
site-occupancy results
Systematic First-Principles Study of Binary Metal Hydrides
First-principles
calculations were systematically performed for
31 binary metalāhydrogen (<i>M</i>āH) systems
on a set of 30 potential crystal structures selected on the basis
of experimental data and possible interstitial sites. For each <i>M</i>āH system, the calculated enthalpies of formation
were represented as functions of H composition. The zero-point energy
correction was considered for the most stable hydrides via additional
harmonic phonon calculations. The sequence of stable hydrides (ground-state)
given by the convex hull was found in satisfactory agreement with
the experimental data. In addition, new high pressure dihydrides and
trihydrides were predicted, providing orientations for new materials
synthesis. The overall results provide a global overview of hydride
relative stabilities and relevant input data for thermodynamic modeling
methods
Thermodynamic Modeling of the NiāH System
A new
thermodynamic assessment of the NiāH system has been
carried out, providing a complete description valid up to 6 Ć
10<sup>9</sup> Pa of this system at the center of hydrogen storage
issues. The study includes the hydride formation reaction and the
presence of a miscibility gap in the fcc interstitial solid solution
of hydrogen in nickel. In addition to a complete literature review,
first-principles calculations were carried out and combined with other
modeling approaches. The cluster expansion method allowed us to describe
the energetic interactions between atoms leading to the miscibility
gap in the fcc solid solution. Besides, the compressibility at high
pressure was characterized for each phase including the condensed
phases. For this purpose, a specific high-pressure model was assessed
with the contribution of quasi-harmonic phonon calculations. The obtained
consistent model allows us to characterize entirely the thermochemical
behavior of the NiāH system
Chemical Composition of Lithiated Nitrodonickelates Li<sub>3ā<i>xy</i></sub>Ni<sub><i>x</i></sub>N: Evidence of the Intermediate Valence of Nickel Ions from Ion Beam Analysis and <i>Ab Initio</i> Calculations
Lamellar lithiated nitridonickelates have been investigated
from
both experimental and theoretical points of view in a wide range of
compositions. In this study, we show that the nickel ion in lamellar
lithiated nitridonickelates adopts an intermediate valence close to
+1.5. This solid solution can therefore be written Li3ā1.5xNixN with 0 ā¤ x ā¤ 0.68. Attempts to introduce more nickel into
these phases systematically lead to the presence of the endmember
of the solid solution, Li1.97Ni0.68N, with metallic
nickel as an impurity. The LiNiN phase has never been observed, and
first-principles calculations suggested that all the structural configurations
tested were mechanically unstable
Polymorphism in Thermoelectric As<sub>2</sub>Te<sub>3</sub>
Metastable Ī²-As<sub>2</sub>Te<sub>3</sub> (<i>R</i>3Ģ
<i>m</i>, <i>a</i> = 4.047 Ć
and <i>c</i> = 29.492 Ć
at 300 K) is isostructural to layered Bi<sub>2</sub>Te<sub>3</sub> and is known for similarly displaying good thermoelectric properties
around 400 K. Crystallizing glassy-As<sub>2</sub>Te<sub>3</sub> leads
to multiphase samples, while Ī²-As<sub>2</sub>Te<sub>3</sub> could
indeed be synthesized with good phase purity (97%) by melt quenching.
As expected, Ī²-As<sub>2</sub>Te<sub>3</sub> reconstructively
transforms into stable Ī±-As<sub>2</sub>Te<sub>3</sub> (<i>C</i>2/<i>m</i>, <i>a</i> = 14.337 Ć
, <i>b</i> = 4.015 Ć
, <i>c</i> = 9.887 Ć
, and
Ī² = 95.06Ā°) at 480 K. This Ī² ā Ī± transformation
can be seen as the displacement of part of the As atoms from their
As<sub>2</sub>Te<sub>3</sub> layers into the van der Waals bonding
interspace. Upon cooling, Ī²-As<sub>2</sub>Te<sub>3</sub> displacively
transforms in two steps below <i>T</i><sub>S1</sub> = 205ā210
K and <i>T</i><sub>S2</sub> = 193ā197 K into a new
Ī²ā²-As<sub>2</sub>Te<sub>3</sub> allotrope. These reversible
and first-order phase transitions give rise to anomalies in the resistance
and in the calorimetry measurements. The new monoclinic Ī²ā²-As<sub>2</sub>Te<sub>3</sub> crystal structure (<i>P</i>2<sub>1</sub>/<i>m</i>, <i>a</i> = 6.982 Ć
, <i>b</i> = 16.187 Ć
, <i>c</i> = 10.232 Ć
, Ī²
= 103.46Ā° at 20 K) was solved from Rietveld refinements of X-ray
and neutron powder patterns collected at low temperatures. These analyses
showed that the distortion undergone by Ī²-As<sub>2</sub>Te<sub>3</sub> is accompanied by a 4-fold modulation along its <i>b</i> axis. In agreement with our experimental results, electronic structure
calculations indicate that all three structures are semiconducting
with the Ī±-phase being the most stable one and the Ī²ā²-phase
being more stable than the Ī²-phase. These calculations also
confirm the occurrence of a van der Waals interspace between covalently
bonded As<sub>2</sub>Te<sub>3</sub> layers in all three structures