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While a crude model, the liquid-drop model accounts for the spherical shape of most nuclei and makes a rough prediction of binding energy. The corresponding mass formula is defined purely in terms of the numbers of protons and neutrons it contains.
4.3 Semi-Empirical Mass Formula. For most nuclei (nuclides) with A > 20 the binding energy is well reproduced by a semi-empirical formula based on the idea the the nucleus can be thought of as a liquid drop. Volume term: Each nucleon has a binding energy which binds it to the nucleus.
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The Weizsaecker formula is an empirically refined form of the liquid drop model for the binding energy of nuclei. It has the following terms: Volume term. Surface term. Asymmetry term. Pairing term. Using the Weizsaecker formula, the binding energies and also masses of atomic nuclei can be derived.
In this model, the so-called liquid-drop model, all nucleons are uniformly distributed inside a nucleus and are bound together by the nuclear force while the Coulomb interaction causes repulsion among protons. Characteristics of the nuclear force (its short range) and of the Coulomb interaction explain part of the semi-empirical mass formula ...
The Liquid Drop Model. This is a simple model for the binding energy of a nucleus. This model is also important to understand fission and how energy is obtained from fission. 104. In the case of a large nucleus a fair number of nucleons are assembled and we know that they attract each other.
The Liquid Drop Model A simple model for the binding energy of a nucleus Final form for the binding energy according to the charged liquid-drop model. E b =C 1A!C 2A 2 3!C 3 Z2 A13!C 4 Z! A 2" # $ % & ' A 2 ±( (A even) Evans, The Atomic Nucleus gives the following values for these constants: C1 = 14 MeV C2 = 13 MeV C3 = 0.6 MeV C4 = 4.8 MeV ...
Description: We formally define the binding energy of a nucleus and check our definition with examples from the KAERI Table of Nuclides. We imagine that a nucleus is akin to a droplet of liquid, and construct a semi-empirical mass formula to predict its stability given any number of protons and neutrons. We then construct mass parabolas to ...