skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Nuclear ground-state masses and deformations: FRDM(2012)

Journal Article · · Atomic Data and Nuclear Data Tables
 [1];  [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Kyoto Univ., Kyoto (Japan)
  3. RIKEN Nishina Center, Wako (Japan); Center for Mathematics and Physics Univ. of Aizu, Fukushima (Japan)

Here, we tabulate the atomic mass excesses and binding energies, ground-state shell-plus-pairing corrections, ground-state microscopic corrections, and nuclear ground-state deformations of 9318 nuclei ranging from 16O to A=339. The calculations are based on the finite-range droplet macroscopic and the folded-Yukawa single-particle microscopic nuclear-structure models, which are completely specified. Relative to our FRDM(1992) mass table in Möller et al. (1995), the results are obtained in the same model, but with considerably improved treatment of deformation and fewer of the approximations that were necessary earlier, due to limitations in computer power. The more accurate execution of the model and the more extensive and more accurate experimental mass data base now available allow us to determine one additional macroscopic-model parameter, the density-symmetry coefficient LL, which was not varied in the previous calculation, but set to zero. Because we now realize that the FRDM is inaccurate for some highly deformed shapes occurring in fission, because some effects are derived in terms of perturbations around a sphere, we only adjust its macroscopic parameters to ground-state masses.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
FG02-06ER41407; 25287065; AC52-06NA25396
OSTI ID:
1248866
Alternate ID(s):
OSTI ID: 1325396
Report Number(s):
LA-UR-15-26310; PII: S0092640X1600005X
Journal Information:
Atomic Data and Nuclear Data Tables, Vol. 109-110, Issue C; ISSN 0092-640X
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 837 works
Citation information provided by
Web of Science

References (106)

Nuclear mass formula with a Yukawa-plus-exponential macroscopic model and a folded-Yukawa single-particle potential journal May 1981
Atomic masses and nuclear ground-state deformations calculated with a new macroscopic-microscopic model journal March 1981
Nuclear masses from a unified macroscopic-microscopic model journal July 1988
Nuclear mass formula with a finite-range droplet model and a folded-Yukawa single-particle potential journal July 1988
Average nuclear properties journal December 1969
The nuclear droplet model for arbitrary shapes journal May 1974
Nuclear Ground-State Masses and Deformations journal March 1995
New Calculation of Fission Barriers for Heavy and Superheavy Nuclei journal March 1972
Shell effects in nuclear masses and deformation energies journal April 1967
“Shells” in deformed nuclei journal December 1968
Collective motion in many-particle systems journal February 1960
Improved Superconductivity Approximation for the Pairing Interaction in Nuclei journal April 1964
Study of approximations in the nuclear pairing-force problem journal February 1973
Nuclear pairing models journal January 1992
The Ame2003 atomic mass evaluation journal December 2003
Production and decay of269110 journal December 1995
The new element 111 journal December 1995
The new element 112 journal April 1996
Heaviest nuclei from 48 Ca-induced reactions journal March 2007
Synthesis of a New Element with Atomic Number Z = 117 journal April 2010
Nuclear Properties for Astrophysical and Radioactive-Ion-Beam Applications journal July 1997
80 Years of the liquid drop—50 years of the macroscopic–microscopic model journal September 2013
The breaking of intrinsic reflection symmetry in nuclear ground states journal November 1982
Analysis of octupole instability in medium-mass and heavy nuclei journal November 1984
Reflection-asymmetric rotor model of odd A∼ 219 229 nuclei journal June 1988
Nuclear masses and deformations journal June 1966
Calculation of fission barriers with the droplet model and folded Yukawa single-particle potential journal September 1974
Unified nuclear potential for heavy-ion elastic scattering, fusion, fission, and ground-state masses and deformations journal September 1979
Further studies in the liquid-drop theory on nuclear fission journal June 1969
Calculated ground-state properties of heavy nuclei journal September 1974
Nuclear fission modes and fragment mass asymmetries in a five-dimensional deformation space journal February 2001
Heavy-element fission barriers journal June 2009
Fission barriers and the inclusion of axial asymmetry journal March 1972
The Nuclear Potential-energy Surface with Inclusion of Axial Asymmetry journal July 1973
Rotational bands and particle-hole excitations at very high spin journal March 1985
Global Calculations of Ground-State Axial Shape Asymmetry of Nuclei journal October 2006
Axial and reflection asymmetry of the nuclear ground state journal September 2008
Nuclear shape isomers journal March 2012
Calculation of half-lives for superheavy nuclei journal October 1972
Macroscopic potential-energy surfaces for symmetric fission and heavy-ion reactions journal November 1976
Calculated Half-Lives of Superheavy Nuclei near [ 126 ] 354 journal November 1976
Potential-energy surfaces for asymmetric heavy-ion reactions journal May 1977
Calculated fission properties of the heaviest elements journal July 1987
New developments in the calculation of heavy-element fission barriers journal February 1989
Realistic fission saddle-point shapes journal March 2000
Five-Dimensional Fission-Barrier Calculations from S e 70 to C f 252 journal February 2004
Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions journal March 2011
Energy dependence of fission-fragment mass distributions from strongly damped shape evolution journal December 2013
Effect of viscosity on the dynamics of fission journal June 1976
New model of the average neutron and proton pairing gaps journal January 1988
CODATA recommended values of the fundamental physical constants: 2010 journal November 2012
Skyrme interaction and nuclear matter constraints journal March 2012
Constraints on the symmetry energy and neutron skins from experiments and theory journal July 2012
Droplet model nuclear density distributions and single-particle potential wells journal April 1970
Nuclear Shapes and Shape Transitions journal May 1984
Possible Analogy between the Excitation Spectra of Nuclei and Those of the Superconducting Metallic State journal May 1958
Single-Particle Levels of Nonspherical Nuclei In The Region 150 < A < 190 journal July 1971
On the nuclear structure and stability of heavy and superheavy elements journal June 1969
Calculation of Fission Barriers for Heavy and Superheavy Nuclei journal December 1972
An overview of the 1986–1987 atomic mass predictions journal July 1988
A modified bethe-weizsäcker mass formula with deformation and shell corrections and few free parameters journal July 1988
The Ame2012 atomic mass evaluation journal December 2012
Mass Measurements of Very Neutron-Deficient Mo and Tc Isotopes and Their Impact on r p Process Nucleosynthesis journal March 2011
Nuclear Physics A. Stationary States of Nuclei journal April 1936
The coulomb redistribution energy as revealed by a refined study of nuclear masses journal January 1992
My Journey to the Superheavy Island with Szymanski, Nilsson, nix, and Swiatecki from Lysekil to the Present journal April 2010
Hexadecapole equilibrium distortions of nuclei journal March 1968
Calculations of P2, P4 and P6 equilibrium distortions in the rare-earth region journal February 1970
New Global Calculation of Nuclear Masses and Fission Barriers for Astrophysical Applications
  • Möller, P.; Sierk, A. J.; Bengtsson, R.
  • ORIGIN OF MATTER AND EVOLUTION OF GALAXIES: The 10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, AIP Conference Proceedings https://doi.org/10.1063/1.2943565
conference January 2008
Stability of heavy and superheavy elements journal November 1994
Calculated fission yields of neutron-deficient mercury isotopes journal February 2012
Determination of the Equation of State of Dense Matter journal October 2002
Recent progress and new challenges in isospin physics with heavy-ion reactions journal August 2008
Constraints on the symmetry energy and neutron skins from pygmy resonances in Ni 68 and Sn 132 journal April 2010
Nuclear symmetry energy and neutron skins derived from pygmy dipole resonances journal November 2007
Complete Electric Dipole Response and the Neutron Skin in Pb 208 journal August 2011
Electric dipole polarizability in 208 Pb: Insights from the droplet model journal August 2013
Giant monopole resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the “softness” of Sn and Cd nuclei journal December 2012
Symmetry energy I: Semi-infinite matter journal February 2009
Connecting Neutron Star Observations to Three-Body Forces in Neutron Matter and to the Nuclear Symmetry Energy journal February 2012
Constraining the Symmetry Parameters of the Nuclear Interaction journal June 2013
Constraints on Neutron Star Radii Based on Chiral Effective Field Theory Interactions journal October 2010
Maximum mass and radius of neutron stars, and the nuclear symmetry energy journal March 2012
Calculation of the continuum level density journal July 1998
New method for calculating shell correction journal June 2010
Excitation Energy Dependence of Shell Effects on Nuclear Level Densities and Fission Fragment Anisotropies journal August 1970
Tensor interaction in mean-field and density functional theory approaches to nuclear structure journal May 2014
Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei journal March 1972
�ber den Nachweis und das Verhalten der bei der Bestrahlung des Urans mittels Neutronen entstehenden Erdalkalimetalle journal January 1939
Disintegration of Uranium by Neutrons: a New Type of Nuclear Reaction journal February 1939
The Mechanism of Nuclear Fission journal September 1939
Semiempirical atomic mass formula journal February 1975
A semiempirical liquid-drop plus shell-correction formula journal May 1976
Accuracy of theoretical descriptions of nuclear masses journal February 2014
Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII. Stiffness and stability of neutron-star matter journal September 2010
A new semiempirical shell correction to the droplet model journal May 1976
Transition Probability from the Ground to the First-Excited 2+ State of Even–Even Nuclides journal May 2001
Collisions of deformed nuclei: A path to the far side of the superheavy island journal January 1996
Isotopic r-process abundances and nuclear structure far from stability - Implications for the r-process mechanism journal January 1993
A HIGH-ENTROPY-WIND r -PROCESS STUDY BASED ON NUCLEAR-STRUCTURE QUANTITIES FROM THE NEW FINITE-RANGE DROPLET MODEL FRDM(2012) journal August 2014
Strong neutrino cooling by cycles of electron capture and β− decay in neutron star crusts journal December 2013
Fission-fragment mass distributions from strongly damped shape evolution journal September 2011
On the Production of Heavy Elements by Cold Fusion: The Elements 106 to 109 journal December 1985
An experimental paradigm opening the world of superheavy elements journal June 2012
Synthesis of superheavy elements by cold fusion journal May 2011
Baukasten für Superschwergewichte: Synthese und Physik superschwerer Elemente journal January 2012

Cited By (83)

Solar r-process-constrained actinide production in neutrino-driven winds of supernovae journal April 2016
A study of some nuclear structure properties of 11C, 13N, 15O, 18F, 52Mn, 52Fe, 60Cu, 62Zn, 63Zn, 66Ga, 68Ga, 76Br, 81Rb, 82Rb, 82Sr, 83Sr, 86Y, 89Zr and 92Rb nuclei used for PET in the axial deformation journal June 2018
Study of the surface energy coefficient used in nuclear proximity potential of the $ \alpha$α-nuclei systems from density-dependent nucleon-nucleon interactions journal July 2019
Decay properties and reaction dynamics of zirconium isotopes in the relativistic mean-field model journal February 2018
Study on particle and cluster decay of superheavy nuclei Z = 130–144 using Cubic plus Proximity potential with improved transfer matrix method journal July 2019
All possible tripartitions of $${}^{236}$$ 236 U isotope in collinear configuration journal May 2018
Fully self-consistent study of charge-exchange resonances and the impact on the symmetry energy parameters journal October 2016
Signatures of hypermassive neutron star lifetimes on r-process nucleosynthesis in the disc ejecta from neutron star mergers journal August 2017
Excitation-energy-dependent potential energy surfaces in the ternary breakup of Cf 252 journal January 2020
Examination of break-up fusion in the O 16 + Nd 148 system through measurements of forward recoil range distributions and angular distributions journal November 2019
Actinide Production in the Neutron-rich Ejecta of a Neutron Star Merger journal December 2018
Hot fusion of fission fragments for the synthesis of doubly magic nucleus ${}_{126}^{310} X^{184}$ journal April 2019
r -process nucleosynthesis: connecting rare-isotope beam facilities with the cosmos journal July 2019
β -delayed Fission in r -process Nucleosynthesis journal December 2018
Electron capture cross sections and nuclear partition functions for fp -shell nuclei journal July 2019
Crust of accreting neutron stars within simplified reaction network journal October 2019
Late-time emission of prompt fission γ rays journal December 2016
Mass measurements of neutron-rich indium isotopes toward the N = 82 shell closure journal February 2018
Distinct ground state features and the decay chains of Z = 121 superheavy nuclei journal September 2018
Production mechanism of neutron-rich nuclei around N = 126 in the multi-nucleon transfer reaction 132 Sn + 208 Pb journal September 2018
Structural properties and decay modes of Z = 122, 120 and 118 superheavy nuclei journal February 2019
Synthesis of 119 292 303 superheavy elements using Ca- and Ti-induced reactions journal September 2017
Using excitation-energy dependent fission yields to identify key fissioning nuclei in r -process nucleosynthesis journal April 2019
Physics of even-even superheavy nuclei with 96 < Z < 110 in the quark-meson-coupling model journal October 2019
Description of proton radioactivity using the Coulomb and proximity potential model for deformed nuclei journal September 2017
Spin singlet and spin triplet pairing correlations on shape evolution in s d -shell N = Z Nuclei journal February 2018
Heavy nuclei: Introduction to density functional theory and variations on the theme⋆ journal December 2018
Thermal quasiparticle random-phase approximation calculations of stellar electron capture rates with the Skyrme effective interaction journal August 2019
48 Ca induced reactions for the synthesis of isotopes 284–292 Fl journal November 2017
Probable Heavy Particle Decays from 306–339128 Superheavy Nuclei journal October 2016
Competition of deformation and neutron–proton pairing in Gamow–Teller transitions for 56,58 Ni and 62,64 Ni journal August 2019
Interplay between low-lying isoscalar and isovector dipole modes: A comparative analysis between semiclassical and quantum approaches journal May 2019
Study of Quasielastic Barrier Distributions as a Step towards the Synthesis of Superheavy Elements with Hot Fusion Reactions journal February 2020
Persistence of magicity in neutron-rich exotic 78Ni in ground as well as excited states journal July 2018
Influence of entrance channel on production cross sections of superheavy nuclei journal August 2017
Similar alignment based on total-Routhian-surface approach in an α-decay chain from 216Po to 272Cn journal June 2018
Puzzling Two-Proton Decay of Kr 67 journal May 2018
Competition Between Different Decay Modes of Superheavy Element Z = 116 and Synthesis of Possible Isotopes journal October 2019
Signature of bi-modal fission in uranium nuclei journal November 2019
Identifying Inconsistencies in Fission Product Yield Evaluations with Prompt Neutron Emission journal March 2018
Neutron transfer reactions in accreting neutron stars journal November 2018
Effect of shell corrections on the α -decay properties of Fl 280 305 isotopes journal September 2018
Californium-254 and Kilonova Light Curves journal August 2018
Parameter optimization for the latest quark-meson coupling energy-density functional journal August 2019
Systematic study of cluster radioactivity of superheavy nuclei journal January 2018
SkyNet: A Modular Nuclear Reaction Network Library journal December 2017
Microscopic studies of production cross sections in multinucleon transfer reaction Ni 58 + Sn 124 journal July 2019
α -decay half-lives of superheavy nuclei journal January 2018
Theoretical predictions for $\alpha$-decay properties of 283-339Og using a shell-effect induced generalized liquid-drop model journal September 2019
Decay properties of 256-339Ds superheavy nuclei journal September 2017
Excited levels in the multishaped Pd 117 nucleus studied via β decay of Rh 117 journal August 2018
Theoretical predictions on the decay properties of superheavy nuclei Z = 123 in the region $297 \le A \le 307$ 297 ≤ A ≤ 307 journal December 2016
Effects of multichance fission on isotope dependence of fission fragment mass distributions at high energies journal December 2019
α -decay chains of superheavy Mt 265 279 isotopes journal October 2017
Neutron-deficient superheavy nuclei obtained in the Pu 240 + Ca 48 reaction journal January 2018
Alpha-decay energies of superheavy nuclei for the Fayans functional journal February 2017
Landscape of α preformation probability for even–even nuclei in medium mass region journal February 2018
Monte Carlo Glauber model with meson cloud: predictions for 5.44 TeV Xe + Xe collisions journal May 2018
Actinide-rich and Actinide-poor r -process-enhanced Metal-poor Stars Do Not Require Separate r -process Progenitors journal August 2019
Study of charged particle multiplicity, average transverse momentum and azimuthal anisotropy in Xe+Xe collisions at $\sqrt{s_{NN}} = 5.44$ TeV using AMPT model journal September 2019
Possible production of neutron-rich Md isotopes in multinucleon transfer reactions with Cf and Es targets journal May 2019
Measurement of the azimuthal anisotropy of charged-particle production in Xe+Xe collisions at sNN =5.44 TeV with the ATLAS detector text January 2020
Charged-particle angular correlations in XeXe collisions at √sNN=5.44 TeV text January 2019
Signatures of hypermassive neutron star lifetimes on r-process nucleosynthesis in the disk ejecta from neutron star mergers text January 2017
A Minimal Nuclear Energy Density Functional text January 2017
Precision mass measurements on neutron-rich rare-earth isotopes at JYFLTRAP - reduced neutron pairing and implications for the $r$-process calculations text January 2018
Monte Carlo Glauber model with meson cloud: predictions for 5.44 TeV Xe+Xe collisions text January 2018
Distinct ground state features and the decay chains of Z = 121 Superheavy Nuclei text January 2018
Persistence of magicity in neutron rich exotic $^{78}$Ni in ground as well as excited states text January 2018
Bayesian approach to model-based extrapolation of nuclear observables text January 2018
Californium-254 and kilonova light curves text January 2018
Cluster Radioactivity in Super Heavy Nuclei text January 2018
Using excitation-energy dependent fission yields to identify key fissioning nuclei in r-process nucleosynthesis text January 2018
Signature of bi-modal fission in Uranium nuclei text January 2018
Parameter Optimisation for the Latest Quark-Meson Coupling Energy Density Functional November 2018
Structural properties and decay modes of Z $=$ 122, 120 and 118 superheavy nuclei text January 2019
Neutron drip line in the Ca region from Bayesian model averaging text January 2019
Thermal quasiparticle random-phase approximation calculations of stellar electron capture rates with the Skyrme effective interaction text January 2019
Actinide-rich and Actinide-poor $r$-Process Enhanced Metal-Poor Stars do not Require Separate $r$-Process Progenitors text January 2019
Exploring the mass surface near the rare-earth abundance peak via precision mass measurements at JYFLTRAP text January 2019
Crust of accreting neutron stars within simplified reaction network text January 2019
Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei text January 2019
Bayesian averaging of computer models with domain discrepancies: a nuclear physics perspective preprint January 2019

Similar Records

Nuclear ground-state masses and deformations: FRDM(2012)
Journal Article · Sun May 15 00:00:00 EDT 2016 · Atomic Data and Nuclear Data Tables · OSTI ID:1248866

Nuclear properties for astrophysical and radioactive-ion-beam applications (II)
Journal Article · Mon Jul 09 00:00:00 EDT 2018 · Atomic Data and Nuclear Data Tables · OSTI ID:1248866

Nuclear properties for astrophysical and radioactive-ion-beam applications (II)
Journal Article · Tue Jan 15 00:00:00 EST 2019 · Atomic Data and Nuclear Data Tables · OSTI ID:1248866