Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Nuclear Binding Energy02:13

Nuclear Binding Energy

12.4K
The difference between the calculated and experimentally measured masses is known as the mass defect of the atom. In the case of helium-4, the mass defect indicates a “loss” in mass of 4.0331 amu – 4.0026 amu = 0.0305 amu. The loss in mass accompanying the formation of an atom from protons, neutrons, and electrons is due to the conversion of that mass into energy that is evolved as the atom forms. The nuclear binding energy is the energy produced when the atoms’ nucleons...
12.4K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

971
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
971
The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

23.9K
In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
23.9K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

647
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
647
Atomic Radii and Effective Nuclear Charge03:08

Atomic Radii and Effective Nuclear Charge

51.6K
The elements in groups of the periodic table exhibit similar chemical behavior. This similarity occurs because the members of a group have the same number and distribution of electrons in their valence shells.
51.6K
The Bohr Model02:18

The Bohr Model

53.0K
Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...
53.0K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

New alternatives to the Lennard-Jones potential.

Scientific reports·2024
Same author

Continued fractions and the Thomson problem.

Scientific reports·2023
Same author

Differential kynurenine pathway metabolism in highly metastatic aggressive breast cancer subtypes: beyond IDO1-induced immunosuppression.

Breast cancer research : BCR·2020
Same author

Basal-like breast cancer: molecular profiles, clinical features and survival outcomes.

BMC medical genomics·2017
Same author

Big data for big questions: it is time for data analysts to act.

Future science OA·2016
Same author

Alzheimer's disease patient groups derived from a multivariate analysis of cognitive test outcomes in the Coalition Against Major Diseases dataset.

Future science OA·2016
Same journal

Turbulent flow in a vortex separator with a directed pipe inlet.

Scientific reports·2026
Same journal

Systematic characteristic evaluation of clay-based cementitious material derived from calcium carbide residue and waste tile powder.

Scientific reports·2026
Same journal

Retraction Note: Improvement of a rapid diagnostic application of monoclonal antibodies against avian influenza H7 subtype virus using Europium nanoparticles.

Scientific reports·2026
Same journal

Applying large language models to spam detection in the Kazakh low-resource language setting.

Scientific reports·2026
Same journal

An open-source 3D printing system enabling in-situ freeze-thaw processing of hydrogels.

Scientific reports·2026
Same journal

An enhanced EfficientNet framework for automated waste classification using cosine annealing and label smoothing.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Jun 25, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.2K

Approximating the nuclear binding energy using analytic continued fractions.

Pablo Moscato1, Rafael Grebogi2

  • 1The University of Newcastle, School of Information and Physical Sciences, Callaghan, NSW, 2308, Australia. pablo.moscato@newcastle.edu.au.

Scientific Reports
|May 21, 2024
PubMed
Summary
This summary is machine-generated.

Continued Fraction Regression (cf-r) accurately models nuclear binding energy using analytic continued fractions. This data-driven method precisely predicts nuclide stability and mass limits, offering insights into nuclear physics.

More Related Videos

Quantification of Hydrogen Concentrations in Surface and Interface Layers and Bulk Materials through Depth Profiling with Nuclear Reaction Analysis
14:11

Quantification of Hydrogen Concentrations in Surface and Interface Layers and Bulk Materials through Depth Profiling with Nuclear Reaction Analysis

Published on: March 29, 2016

26.7K
Thermochemical Studies of NiII and ZnII Ternary Complexes Using Ion Mobility-Mass Spectrometry
16:11

Thermochemical Studies of NiII and ZnII Ternary Complexes Using Ion Mobility-Mass Spectrometry

Published on: June 8, 2022

2.3K

Related Experiment Videos

Last Updated: Jun 25, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.2K
Quantification of Hydrogen Concentrations in Surface and Interface Layers and Bulk Materials through Depth Profiling with Nuclear Reaction Analysis
14:11

Quantification of Hydrogen Concentrations in Surface and Interface Layers and Bulk Materials through Depth Profiling with Nuclear Reaction Analysis

Published on: March 29, 2016

26.7K
Thermochemical Studies of NiII and ZnII Ternary Complexes Using Ion Mobility-Mass Spectrometry
16:11

Thermochemical Studies of NiII and ZnII Ternary Complexes Using Ion Mobility-Mass Spectrometry

Published on: June 8, 2022

2.3K

Area of Science:

  • Nuclear Physics
  • Computational Physics
  • Data Science

Background:

  • Understanding nuclear behavior is crucial in nuclear physics.
  • Nuclear binding energy (B(A, Z)) is a key property for characterizing nuclides.
  • Current data-driven methods have limitations in approximating nuclear binding energy.

Purpose of the Study:

  • To introduce a novel data-driven approach, Continued Fraction Regression (cf-r), for analyzing nuclear binding energy.
  • To accurately approximate the binding energy of stable and unstable nuclides.
  • To assess the model's predictive accuracy and extrapolation capabilities.

Main Methods:

  • Utilized Continued Fraction Regression (cf-r) with a tailored loss function.
  • Employed analytic continued fractions for approximation.
  • Validated the model on experimentally confirmed stable and unstable nuclides.

Main Results:

  • Achieved precise predictions for nuclides with residuals smaller than 0.15 MeV.
  • Demonstrated accurate approximation of both stable and experimentally confirmed unstable nuclides.
  • Showcased robust extrapolation capabilities converging at the nuclear mass limit.

Conclusions:

  • Continued Fraction Regression (cf-r) offers a powerful data-driven approach for nuclear binding energy analysis.
  • The method provides valuable insights into the limitations of current state-of-the-art techniques.
  • The approach has potential applications beyond nuclear physics.