Experimental and Theoretical Studies on the Physical Properties of Lanthanides, Actinides, and Their Compounds

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Applied Physics General".

Deadline for manuscript submissions: closed (31 May 2023) | Viewed by 16726

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Theoretical Division, T-1, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
Interests: phase diagram of condensed matter, equation of state, phase transitions; topological properties of condensed matter, linear defects: dislocations, disclinations, defect-mediated phase transitions, geometrical frustration; amorphous, granular, and polycrystalline matter; shock waves in granular and polycrystalline materials; analytic modeling of the physical properties of condensed matter; molecular dynamics (MD) simulations, both classical (MolDy, DL−POLY) and first-principles quantum (VASP); phase diagram studies; high pressure – high temperature polymorphism
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Special Issue Information

Dear Colleagues,

The lanthanides and actinides form a group that appears almost disconnected from the rest of the periodic table. This is the f block of elements, known as the inner transition series.

The chemistry of the lanthanides differs from main group elements and transition metals because of the nature of the 4f orbitals. These orbitals are “buried” inside the atom and are shielded from the atom’s environment by the 4d and 5p electrons. Consequently, the chemistry of the elements is largely determined by their size, which decreases gradually with increasing atomic number. This phenomenon is known as the lanthanide contraction. All the lanthanide elements exhibit the oxidation state of +3.

Unlike the lanthanides, most elements of the actinide series have the same properties as the d block. Members of the actinide series can lose multiple electrons to form a variety of different ions. All actinides are radioactive, paramagnetic, and, except for actinium, have several crystalline phases. The unusual behavior of the 5f elements—delocalization of the electrons for the light actinides versus localization for the heavier ones—makes them an outstanding tool for the scientist, which can be seen by the variety of oxidation states ranging from +1 to +7.

Both lanthanides and actinides are extremely important technological materials. Lanthanides have been widely used as alloys to impart strength and hardness to metals. The main lanthanide used for this purpose is cerium, mixed with small amounts of lanthanum, neodymium, and praseodymium. These metals are also widely used in the petroleum industry for refining of crude oil into gasoline products. The actinides are valuable primarily because they are radioactive. These elements can be used as energy sources for applications as varied as cardiac pacemakers and generation of electrical energy for instruments on the moon. Uranium and plutonium have been employed in nuclear weapons and in nuclear power plants.

This Special Issue is devoted to the forefront of research on the physical properties of lanthanides, actinides, and their compounds. Research papers as well as review articles that represent the most recent advances in both experimental and theoretical studies on lanthanides, actinides, and their compounds, in the form of original research, are welcome to be submitted to this Special Issue.

Dr. Leonid Burakovsky
Guest Editor

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Published Papers (10 papers)

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Research

14 pages, 398 KiB  
Article
Principal Hugoniots of Promethium, Terbium, Thulium, Lutetium, and Actinium in a Wide Pressure Range
by Leonid Burakovsky, Dean L. Preston, Scott D. Ramsey, Sky K. Sjue, Charles E. Starrett and Roy S. Baty
Appl. Sci. 2023, 13(17), 9643; https://0-doi-org.brum.beds.ac.uk/10.3390/app13179643 - 25 Aug 2023
Cited by 2 | Viewed by 546
Abstract
We present the analytic forms of the principal Hugoniots of actinium (Ac) and the lanthanide promethium (Pm), which have both never been measured or calculated before, as well as those of terbium (Tb), thulium (Tm), and lutetium (Lu), the three least studied of [...] Read more.
We present the analytic forms of the principal Hugoniots of actinium (Ac) and the lanthanide promethium (Pm), which have both never been measured or calculated before, as well as those of terbium (Tb), thulium (Tm), and lutetium (Lu), the three least studied of the remaining lanthanides. They are based on our new analytic model of principal Hugoniot. A comparison of the five Hugoniots to our own independent theoretical calculations demonstrates very good agreement in every case, but each of the Hugoniots of Tb, Tm, and Ac from the TEFIS database, which ours are also compared to, appear to violate Johnson’s theoretical constraint 4<ηmax<7 for the maximum compression ratio ηmax, which corresponds to the Hugoniot turnaround point. Possible reason for this behavior of the TEFIS Hugoniots is briefly discussed. Full article
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16 pages, 1188 KiB  
Article
Magnetocaloric Properties and Critical Behaviour of the Sm2Ni17 Compound
by Jihed Horcheni, Kamal Nouri, Hamdi Jaballah, Lotfi Bessais, Essebti Dhahri and Mosbah Jemmali
Appl. Sci. 2023, 13(11), 6575; https://0-doi-org.brum.beds.ac.uk/10.3390/app13116575 - 29 May 2023
Cited by 1 | Viewed by 900
Abstract
This paper presents a detailed study in the critical region around the Curie temperature to determine the universality class of the Sm2Ni17 intermetallic compound. The magnetocaloric effect has been studied on the basis of experimental measurements of magnetization. Maxwell’s relation [...] Read more.
This paper presents a detailed study in the critical region around the Curie temperature to determine the universality class of the Sm2Ni17 intermetallic compound. The magnetocaloric effect has been studied on the basis of experimental measurements of magnetization. Maxwell’s relation and a phenomenological model are employed to find the change in magnetic entropy. The compound Sm2Ni17 presents a variation in entropy with a moderate maximum and a wide range of operating temperatures. Numerous approaches have been used to explore the spontaneous magnetization behaviour and inverse of the susceptibility, including the modified Arrott technique, the Kouvel–Fisher approach, and the fitting of the critical isotherm. The scaling hypothesis has been used to confirm the validity and interdependence of the critical exponents associated with these phenomena. Full article
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16 pages, 16661 KiB  
Article
Ambient Melting Behavior of Stoichiometric Uranium-Plutonium Mixed Oxide Fuel
by Leonid Burakovsky, Scott D. Ramsey and Roy S. Baty
Appl. Sci. 2023, 13(10), 6303; https://0-doi-org.brum.beds.ac.uk/10.3390/app13106303 - 22 May 2023
Viewed by 830
Abstract
Mixed oxides of uranium and plutonium (MOX) are currently considered as a reference fuel for the new generation of fast breeder reactors such as ASTRID. The key factor determining the performance and safety of a fuel such as MOX is its operational limits [...] Read more.
Mixed oxides of uranium and plutonium (MOX) are currently considered as a reference fuel for the new generation of fast breeder reactors such as ASTRID. The key factor determining the performance and safety of a fuel such as MOX is its operational limits in the application environment which are closely related to the material’s structure and thermodynamic stability. They are in turn closely related to the ambient (zero pressure) melting point (Tm); thus, Tm is an important engineering parameter. Furthermore, PuO2 and UO2 are two endpoints of the phase diagram of MOX; therefore, their ambient Tms are fundamental reference points. However, the current knowledge of the Tm of MOX is limited and controversial as several studies available in the literature do not converge on the unique behavior of Tm as a function of x. Specifically, some studies produced Tm as a monotonically decreasing function of x such that, with Tm of UO2(x=0) of 3150 K, Tm of PuO2(x=1) is ∼2650 K, while other studies resulted in Tm having a local minimum at 0.5<x<1 such that Tm of PuO2 is ∼3000 K, so that the difference between the two values of Tm is as high as 350 K. In this study, using the ab initio Z method implemented with the Vienna Ab Initio Simulation Package (VASP), we carry out a suite of quantum molecular dynamics simulations to obtain the ambient Tm of MOX at several values of x, 0<x<1, including the two end points (x=0, x=1). Our results agree with the behavior of Tm of MOX as a function of x having a local minimum at x=0.7 and Tm of PuO2 of 3050 K. Our study suggests potential ambient density–melting point systematics of MOX which may be useful in subsequent research on MOX such as its thermoelasticity modeling. Full article
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9 pages, 732 KiB  
Article
Exploring the Effect of the Number of Hydrogen Atoms on the Properties of Lanthanide Hydrides by DMFT
by Yao Wei, Elena Chachkarova, Evgeny Plekhanov, Nicola Bonini and Cedric Weber
Appl. Sci. 2022, 12(7), 3498; https://0-doi-org.brum.beds.ac.uk/10.3390/app12073498 - 30 Mar 2022
Viewed by 1486
Abstract
Lanthanide hydrogen-rich materials have long been considered as one of the candidates with high-temperature superconducting properties in condensed matter physics, and have been a popular topic of research. Attempts to investigate the effects of different compositions of lanthanide hydrogen-rich materials are ongoing, with [...] Read more.
Lanthanide hydrogen-rich materials have long been considered as one of the candidates with high-temperature superconducting properties in condensed matter physics, and have been a popular topic of research. Attempts to investigate the effects of different compositions of lanthanide hydrogen-rich materials are ongoing, with predictions and experimental studies in recent years showing that substances such as LaH10, CeH9, and LaH16 exhibit extremely high superconducting temperatures between 150–250 GPa. In particular, researchers have noted that, in those materials, a rise in the f orbit character at the Fermi level combined with the presence of hydrogen vibration modes at the same low energy scale will lead to an increase in the superconducting transition temperature. Here, we further elaborate on the effect of the ratios of lanthanide to hydrogen in these substances with the aim of bringing more clarity to the study of superhydrides in these extreme cases by comparing a variety of lanthanide hydrogen-rich materials with different ratios using the dynamical mean-field theory (DMFT) method, and provide ideas for later structural predictions and material property studies. Full article
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19 pages, 3959 KiB  
Article
Thermodynamics Modeling for Actinide Monocarbides and Mononitrides from First Principles
by Per Söderlind, Emily E. Moore and Christine J. Wu
Appl. Sci. 2022, 12(2), 728; https://0-doi-org.brum.beds.ac.uk/10.3390/app12020728 - 12 Jan 2022
Cited by 5 | Viewed by 1380
Abstract
The high-temperature thermodynamical properties for the actinide monocarbides and mononitrides ThC, ThN, UC, UN, PuC, and PuN are calculated from first-principles electronic-structure theory. The electronic structure is modeled with density-functional theory (DFT) and is fully relativistic, including the spin-orbit interaction. Furthermore, the DFT [...] Read more.
The high-temperature thermodynamical properties for the actinide monocarbides and mononitrides ThC, ThN, UC, UN, PuC, and PuN are calculated from first-principles electronic-structure theory. The electronic structure is modeled with density-functional theory (DFT) and is fully relativistic, including the spin-orbit interaction. Furthermore, the DFT is extended to account for orbital–orbital interactions, by means of a parameter-free orbital-polarization (OP) technique, that has proven to be essential for the 5f electrons in plutonium. Strong anharmonicity and the temperature dependence of the lattice vibrations are captured with the self-consistent ab initio lattice dynamics (SCAILD) method. The calculated free energies and heat capacities are compared to published results from quasi-harmonic (QH) theory, and experiments, where available. For the uranium and plutonium compounds, we make use of CALPHAD assessments to help evaluate the theory. Generally, our anharmonic relativistic approach compares well with both CALPHAD and experiments. For the thorium compounds, our theory is in good accord with QH modeling of the free energy at lower temperatures but for the heat capacity the comparison is less favorable. Full article
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19 pages, 4507 KiB  
Article
The Limitations of 5f Delocalization and Dispersion
by J. G. Tobin, S. Nowak, S. W. Yu, R. Alonso-Mori, T. Kroll, D. Nordlund, T. C. Weng and D. Sokaras
Appl. Sci. 2021, 11(9), 3882; https://0-doi-org.brum.beds.ac.uk/10.3390/app11093882 - 25 Apr 2021
Cited by 6 | Viewed by 1994
Abstract
Delocalization in the 5f states of the actinides is an important phenomenon, but poorly quantified. Here, the fundamental limitations of 5f dispersion measurements using angle and momentum resolved variants of photoelectron spectroscopy will be discussed. A novel approach will be suggested, based on [...] Read more.
Delocalization in the 5f states of the actinides is an important phenomenon, but poorly quantified. Here, the fundamental limitations of 5f dispersion measurements using angle and momentum resolved variants of photoelectron spectroscopy will be discussed. A novel approach will be suggested, based on a theoretical projection, which should circumvent these limitations: M4,5 X-ray emission spectroscopy. This analysis will utilize the case study of U metal, which can be considered to be the paramount example of 5f dispersion. Full article
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16 pages, 312 KiB  
Article
Calibration of Melt, Shear Modulus, and Flow Stress Models for Cerium Subjected to Intensive Dynamic Loading
by Marvin A. Zocher, JeeYeon N. Plohr and Leonid Burakovsky
Appl. Sci. 2020, 10(20), 7209; https://0-doi-org.brum.beds.ac.uk/10.3390/app10207209 - 16 Oct 2020
Viewed by 1267
Abstract
Calibration parameters are developed for melt, shear modulus, and flow stress models for cerium subjected to dynamic loading. Parametric calibration is developed for the Lindemann melt law and for the shear modulus and flow stress models of Steinberg, Cochran, and Guinan. Full article
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16 pages, 2742 KiB  
Article
Thermodynamics of Plutonium Monocarbide from Anharmonic and Relativistic Theory
by Per Söderlind, Alexander Landa, Aurélien Perron, Emily E. Moore and Christine Wu
Appl. Sci. 2020, 10(18), 6524; https://0-doi-org.brum.beds.ac.uk/10.3390/app10186524 - 18 Sep 2020
Cited by 4 | Viewed by 1829
Abstract
Thermodynamics of plutonium monocarbide is studied from first-principles theory that includes relativistic electronic structure and anharmonic lattice vibrations. Density-functional theory (DFT) is expanded to include orbital-orbital coupling in addition to the relativistic spin-orbit interaction for the electronic structure and it is combined with [...] Read more.
Thermodynamics of plutonium monocarbide is studied from first-principles theory that includes relativistic electronic structure and anharmonic lattice vibrations. Density-functional theory (DFT) is expanded to include orbital-orbital coupling in addition to the relativistic spin-orbit interaction for the electronic structure and it is combined with anharmonic, temperature dependent, lattice dynamics derived from the self-consistent ab initio lattice dynamics (SCAILD) method. The obtained thermodynamics are compared to results from simpler quasi-harmonic theory and experimental data. Formation enthalpy, specific heat, and Gibbs energy calculated from the anharmonic model are validated by direct comparison with a calculation of phase diagram (CALPHAD) assessment of PuC and sub-stochiometric PuC0.896. Overall, the theory reproduces CALPHAD results and measured data for PuC rather well, but the comparison is hampered by the sub-stoichiometric nature of plutonium monocarbide. It was found that a bare theoretical approach that ignores spin-orbit and orbital-orbital coupling (orbital polarization) of the plutonium 5f electrons promotes too soft phonons and Gibbs energies that are incompatible with that of the CALPHAD assessment of the experimental data. The investigation of PuC suggests that the electronic structure is accurately described by plutonium 5f electrons as “band like” and delocalized, but correlate through spin polarization, orbital polarization, and spin-orbit coupling, in analogy to previous findings for plutonium metal. Full article
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21 pages, 2130 KiB  
Article
Thermodynamics and Magnetism of YCo5 Compound Doped with Fe and Ni: An Ab Initio Study
by Alexander Landa, Per Söderlind, Emily E. Moore and Aurelien Perron
Appl. Sci. 2020, 10(17), 6037; https://0-doi-org.brum.beds.ac.uk/10.3390/app10176037 - 31 Aug 2020
Cited by 6 | Viewed by 2927
Abstract
YCo5 permanent magnet exhibits high uniaxial magnetocrystalline anisotropy energy and has a high Curie temperature. These are good properties for a permanent magnet, but YCo5 has a low energy product, which is notably insufficient for a permanent magnet. In order to [...] Read more.
YCo5 permanent magnet exhibits high uniaxial magnetocrystalline anisotropy energy and has a high Curie temperature. These are good properties for a permanent magnet, but YCo5 has a low energy product, which is notably insufficient for a permanent magnet. In order to improve the energy product in YCo5, we suggest replacing cobalt with iron, which has a much bigger magnetic moment. With a combination of density-functional-theory calculations and thermodynamic CALculation of PHAse Diagrams (CALPHAD) modeling, we show that a new magnet, YFe3(Ni1-xCox)2, is thermodynamically stable and exhibits an improved energy product without significant detrimental effects on the magnetocrystalline anisotropy energy or the Curie temperature. Full article
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9 pages, 691 KiB  
Article
Thermodynamics of Uranium Tri-Iodide from Density-Functional Theory
by Per Söderlind, Aurélien Perron, Emily E. Moore, Alexander Landa and Tae Wook Heo
Appl. Sci. 2020, 10(11), 3914; https://0-doi-org.brum.beds.ac.uk/10.3390/app10113914 - 05 Jun 2020
Cited by 2 | Viewed by 2454
Abstract
Density-functional theory (DFT) is employed to investigate the thermodynamic and ground-state properties of bulk uranium tri-iodide, UI3. The theory is fully relativistic and electron correlations, beyond the DFT and generalized gradient approximation, are addressed with orbital polarization. The electronic structure indicates [...] Read more.
Density-functional theory (DFT) is employed to investigate the thermodynamic and ground-state properties of bulk uranium tri-iodide, UI3. The theory is fully relativistic and electron correlations, beyond the DFT and generalized gradient approximation, are addressed with orbital polarization. The electronic structure indicates anti-ferromagnetism, in agreement with neutron diffraction, with band gaps and a non-metallic system. Furthermore, the formation energy, atomic volume, crystal structure, and heat capacity are calculated in reasonable agreement with experiments, whereas for the elastic constants experimental data are unavailable for comparison. The thermodynamical properties are modeled within a quasi-harmonic approximation and the heat capacity and Gibbs free energy as functions of temperature agree with available calculation of phase diagram (CALPHAD) thermodynamic assessment of the experimental data. Full article
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