Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

J. Dobaczewski, A.V. Afanasjev, M. Bender, L.M. Robledo, Yue Shi

We calculate properties of the ground and excited states of nuclei in the nobelium region for proton and neutron numbers of 92 <= Z <= 104 and 144 <= N <= 156, respectively. We use three different energy-density-functional (EDF) approaches, based on covariant, Skyrme, and Gogny functionals, each within two different parameter sets. A comparative analysis of the results obtained for odd-even mass staggerings, quasiparticle spectra, and moments of inertia allows us to identify single-particle and shell effects that are characteristic to these different models and to illustrate possible systematic uncertainties related to using the EDF modelling

Nuclear Theory (nucl-th)

Direct mapping of nuclear shell effects in the heaviest elements

E. Minaya Ramirez, D. Ackermann, K. Blaum, M. Block, C. Droese, Ch. E. Düllmann, M. Dworschak, M. Eibach, S. Eliseev, E. Haettner, F. Herfurth, F.P. Heßberger, S. Hofmann, J. Ketelaer, G. Marx, M. Mazzocco, D. Nesterenko, Yu.N. Novikov, W.R. Plaß, D. Rodríguez, C. Scheidenberger, L. Schweikhard, P.G. Thirolf, C. Weber

Quantum-mechanical shell effects are expected to strongly enhance nuclear binding on an “island of stability” of superheavy elements. The predicted center at proton number Z=114,120, or 126 and neutron number N=184 has been substantiated by the recent synthesis of new elements up to Z=118. However the location of the center and the extension of the island of stability remain vague. High-precision mass spectrometry allows the direct measurement of nuclear binding energies and thus the determination of the strength of shell effects. Here, we present such measurements for nobelium and lawrencium isotopes, which also pin down the deformed shell gap at N=152.

Nuclear Experiment (nucl-ex)

Pauli effects in uncertainty relations

I.V. Toranzo a c, P. Sánchez-Moreno b c, R.O. Esquivel c d, J.S. Dehesa a c

In this Letter we analyze the effect of the spin dimensionality of a physical system in two mathematical formulations of the uncertainty principle: a generalized Heisenberg uncertainty relation valid for all antisymmetric N-fermion wavefunctions, and the Fisher-information-based uncertainty relation valid for all antisymmetric N-fermion wavefunctions of central potentials. The accuracy of these spin-modified uncertainty relations is examined for all atoms from Hydrogen to Lawrencium in a self-consistent framework.

https://www.sciencedirect.com/science/article/abs/pii/S0009261414007465?via%3Dihub

A Density Functional study of Covalency in the Trihalides of Lutetium and Lawrencium

Ossama Kullie

In this work we present a four component relativistic theoretical investigation of the trihalides of lutetium and lawrencium, LuX3, LrX3 (X= F, Cl, Br, I) respectively using density functional theory (DFT) with different density functional and a geometrical optimisation procedure as implemented in DIRAC-package. The results show the trend of bonding from lighter to the heavier halide atoms and between 4f/5f atoms Lu and Lr.

Chemical Physics (physics.chem-ph)

Lawrencium

Lawrencium is a chemical element with the symbol Lr and atomic number 103. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Lawrencium is a highly radioactive metal that is not found naturally on Earth in significant amounts.

Key Characteristics of Lawrencium:

  1. Radioactivity: Lawrencium is an extremely radioactive element, and all of its isotopes are unstable. Its most stable isotope, lawrencium-262, has a relatively short half-life of about 3.6 hours. Lawrencium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Lawrencium is not found naturally on Earth. It is a synthetic element produced in nuclear reactors or through neutron bombardment of other elements, such as californium.
  3. Chemical Properties: Lawrencium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +3 state being the most common. Due to its high radioactivity, lawrencium is challenging to handle and study.
  4. Applications: Due to its extreme radioactivity and limited availability, lawrencium has very few practical applications. It is primarily used for scientific research purposes, particularly in the study of nuclear reactions and the behavior of heavy elements.
  5. Biological Role: Lawrencium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Lawrencium’s synthetic nature, high radioactivity, and limited availability make it primarily of interest to researchers in nuclear science for fundamental studies. Its use is mainly focused on advancing our understanding of nuclear reactions and the behavior of heavy elements. Due to its extreme radioactivity, lawrencium requires strict handling protocols and safety precautions.

Nobelium

Nobelium is a chemical element with the symbol No and atomic number 102. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Nobelium is a highly radioactive metal that is not found naturally on Earth in significant amounts.

Key Characteristics of Nobelium:

  1. Radioactivity: Nobelium is an extremely radioactive element, and all of its isotopes are unstable. Its most stable isotope, nobelium-259, has a relatively short half-life of about 58 minutes. Nobelium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Nobelium is not found naturally on Earth. It is a synthetic element produced in nuclear reactors or through neutron bombardment of other elements, such as curium.
  3. Chemical Properties: Nobelium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +2, +3, and +4 states being the most common. Due to its high radioactivity, nobelium is challenging to handle and study.
  4. Applications: Due to its extreme radioactivity and limited availability, nobelium has very few practical applications. It is primarily used for scientific research purposes, particularly in the study of nuclear reactions and the behavior of heavy elements.
  5. Biological Role: Nobelium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Nobelium’s synthetic nature, high radioactivity, and limited availability make it primarily of interest to researchers in nuclear science for fundamental studies. Its use is mainly focused on advancing our understanding of nuclear reactions and the behavior of heavy elements. Due to its extreme radioactivity, nobelium requires strict handling protocols and safety precautions.

Mendelevium

Mendelevium is a chemical element with the symbol Md and atomic number 101. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Mendelevium is a highly radioactive metal that is not found naturally on Earth in significant amounts.

Key Characteristics of Mendelevium:

  1. Radioactivity: Mendelevium is an extremely radioactive element, and all of its isotopes are unstable. Its most stable isotope, mendelevium-258, has a relatively short half-life of about 51.5 days. Mendelevium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Mendelevium is not found naturally on Earth. It is a synthetic element produced in nuclear reactors or through neutron bombardment of other elements, such as einsteinium.
  3. Chemical Properties: Mendelevium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +2, +3, and +4 states being the most common. Due to its high radioactivity, mendelevium is challenging to handle and study.
  4. Applications: Due to its extreme radioactivity and limited availability, mendelevium has very few practical applications. It is primarily used for scientific research purposes, particularly in the study of nuclear reactions and the behavior of heavy elements.
  5. Biological Role: Mendelevium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Mendelevium’s synthetic nature, high radioactivity, and limited availability make it primarily of interest to researchers in nuclear science for fundamental studies. Its use is mainly focused on advancing our understanding of nuclear reactions and the behavior of heavy elements. Due to its extreme radioactivity, mendelevium requires strict handling protocols and safety precautions.

Fermium

Fermium is a chemical element with the symbol Fm and atomic number 100. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Fermium is a highly radioactive metal that is not found naturally on Earth in significant amounts.

Key Characteristics of Fermium:

  1. Radioactivity: Fermium is an extremely radioactive element, and all of its isotopes are unstable. Its most stable isotope, fermium-257, has a relatively short half-life of about 100.5 days. Fermium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Fermium is not found naturally on Earth. It is a synthetic element produced in nuclear reactors or through neutron bombardment of other elements, such as plutonium.
  3. Chemical Properties: Fermium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +2, +3, and +4 states being the most common. Due to its high radioactivity, fermium is challenging to handle and study.
  4. Applications: Due to its extreme radioactivity and limited availability, fermium has very few practical applications. It is primarily used for scientific research purposes, particularly in the study of nuclear reactions and the behavior of heavy elements.
  5. Biological Role: Fermium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Fermium’s synthetic nature, high radioactivity, and limited availability make it primarily of interest to researchers in nuclear science for fundamental studies. Its use is mainly focused on advancing our understanding of nuclear reactions and the behavior of heavy elements. Due to its extreme radioactivity, fermium requires strict handling protocols and safety precautions.

Einsteinium

Einsteinium is a chemical element with the symbol Es and atomic number 99. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Einsteinium is a highly radioactive metal that is not found naturally on Earth in significant amounts.

Key Characteristics of Einsteinium:

  1. Radioactivity: Einsteinium is an extremely radioactive element, and all of its isotopes are unstable. Its most stable isotope, einsteinium-252, has a relatively short half-life of about 471.7 days. Einsteinium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Einsteinium is not found naturally on Earth. It is a synthetic element produced in nuclear reactors by bombarding heavy elements, such as uranium or plutonium, with neutrons.
  3. Chemical Properties: Einsteinium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +2, +3, and +4 states being the most common. Due to its high radioactivity, einsteinium is challenging to handle and study.
  4. Applications: Due to its extreme radioactivity and limited availability, einsteinium has very few practical applications. It is primarily used for scientific research purposes, particularly in the study of nuclear reactions and the behavior of heavy elements.
  5. Biological Role: Einsteinium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Einsteinium’s synthetic nature, high radioactivity, and limited availability make it primarily of interest to researchers in nuclear science for fundamental studies. Its use is mainly focused on advancing our understanding of nuclear reactions and the behavior of heavy elements. Due to its radioactivity, einsteinium requires strict handling protocols and safety precautions.

Californium

Californium is a chemical element with the symbol Cf and atomic number 98. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Californium is a highly radioactive metal that is not found naturally on Earth in significant amounts.

Key Characteristics of Californium:

  1. Radioactivity: Californium is an extremely radioactive element, and all of its isotopes are unstable. Its most stable isotope, californium-251, has a half-life of about 898 years. Californium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Californium is not found naturally on Earth. It is a synthetic element produced in nuclear reactors or through neutron bombardment of other elements, such as curium or plutonium.
  3. Chemical Properties: Californium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +2, +3, and +4 states being the most common. Due to its high radioactivity, californium is challenging to handle and study.
  4. Applications: Californium has very limited practical applications due to its extreme radioactivity and limited availability. It has been used in scientific research, particularly in the study of nuclear reactions and as a neutron source in certain specialized applications, such as nuclear reactors and certain types of radiography.
  5. Biological Role: Californium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Californium’s synthetic nature, high radioactivity, and limited availability make it primarily of interest to researchers in nuclear science for fundamental studies. Its use is mainly focused on advancing our understanding of nuclear reactions and as a neutron source in specialized applications. Due to its extreme radioactivity, californium requires strict handling protocols and safety precautions.

Berkelium

Berkelium is a chemical element with the symbol Bk and atomic number 97. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Berkelium is a highly radioactive metal that is not found naturally on Earth in significant amounts.

Key Characteristics of Berkelium:

  1. Radioactivity: Berkelium is an extremely radioactive element, and all of its isotopes are unstable. Its most stable isotope, berkelium-247, has a relatively short half-life of about 1,380 years. Berkelium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Berkelium is not found naturally on Earth. It is a synthetic element produced in nuclear reactors by bombarding heavy elements, such as americium or plutonium, with neutrons.
  3. Chemical Properties: Berkelium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +3 and +4 states being the most common. Due to its radioactivity, berkelium is challenging to handle and study.
  4. Applications: Due to its high radioactivity and limited availability, berkelium has very few practical applications. It is mainly used for scientific research purposes, particularly in the study of nuclear reactions and the behavior of heavy elements.
  5. Biological Role: Berkelium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Berkelium’s synthetic nature, high radioactivity, and limited availability make it primarily of interest to researchers in nuclear science for fundamental studies. Its use is mainly focused on advancing our understanding of nuclear reactions and the behavior of heavy elements. Due to its radioactivity, berkelium requires strict handling protocols and safety precautions.

Curium

Curium is a chemical element with the symbol Cm and atomic number 96. It is a synthetic element and belongs to the actinide series of elements in the periodic table. Curium is a silvery-white, radioactive metal.

Key Characteristics of Curium:

  1. Radioactivity: Curium is a highly radioactive element, and all of its isotopes are unstable. Its most common and stable isotope, curium-247, has a half-life of about 15.6 million years. Curium emits alpha particles, beta particles, and gamma radiation during its radioactive decay.
  2. Occurrence: Curium is not found naturally on Earth in significant amounts. It is a synthetic element produced in nuclear reactors or through neutron bombardment of plutonium or americium.
  3. Chemical Properties: Curium is a reactive element and readily forms compounds with oxygen, halogens, and other elements. It exhibits various oxidation states, with the +3 and +4 states being the most common. Curium compounds can have a range of colors, including yellow, green, and brown.
  4. Applications: Curium has limited practical applications due to its radioactivity and limited availability. It has been used in scientific research, particularly in the study of nuclear reactions and decay processes. Curium isotopes can also serve as sources of alpha, beta, and gamma radiation in certain specialized applications.
  5. Biological Role: Curium is highly radioactive and poses a significant health hazard. It has no known biological role and is toxic to living organisms.

Curium’s synthetic nature and radioactivity limit its practical applications. It is primarily of interest to researchers in nuclear science for its unique properties and its role in the study of nuclear reactions and decay processes. Due to its radioactive nature, careful handling and safety precautions are necessary when working with curium.