Weizsäcker formula for nuclear binding energy

E535292

The Weizsäcker formula for nuclear binding energy is a semi-empirical mass formula that approximates the binding energy of atomic nuclei using macroscopic liquid-drop model terms.

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Predicate Object
instanceOf liquid-drop model
nuclear physics formula
semi-empirical mass formula
accuracy gives good global description of binding energies
alsoAssociatedWith Hans Bethe NERFINISHED
alsoKnownAs Bethe–Weizsäcker formula NERFINISHED
semi-empirical mass formula NERFINISHED
appliesTo bound atomic nuclei
approximates binding energy of atomic nuclei
assumes nucleus behaves like a charged liquid drop
basedOn liquid-drop model of the nucleus NERFINISHED
category nuclear mass models
dependsOn empirically fitted coefficients
describes nuclear binding energy
field nuclear physics
nuclear structure
hasParameter Coulomb coefficient a_c
asymmetry coefficient a_a
pairing coefficient a_p
surface coefficient a_s
volume coefficient a_v
hasTerm Coulomb term
asymmetry term
pairing term
surface term
volume term
historicalNote developed in the 1930s
includesEffect electrostatic repulsion between protons
neutron–proton asymmetry
nuclear surface energy
nuclear volume energy
nucleon pairing
inspired later macroscopic–microscopic nuclear models
limitation does not describe shell effects
less accurate for light nuclei
neglects detailed nuclear structure
mathematicalForm binding energy expressed as sum of macroscopic terms
namedAfter Carl Friedrich von Weizsäcker NERFINISHED
relatedConcept liquid-drop model of the nucleus NERFINISHED
nuclear shell model
relates nuclear binding energy to mass number and proton number
usedFor estimating fission and fusion energetics
estimating nuclear binding energies
estimating nuclear masses
predicting valley of beta stability
studying nuclear stability
usesVariable mass number A
neutron number N
proton number Z

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Carl Friedrich von Weizsäcker notableFor Weizsäcker formula for nuclear binding energy