Liquid Drop Model of Nucleus ( Binding Energy Formula) Video
Liquid Drop Model of Nucleus is one of the popular models to describe the behavior of the nucleus of an atom.
Next Video on Corrections to Liquid Drop Model/ Semi Empirical BE Formula : https://youtu.be/GeLC1AUC0W8
In this Model, a comparison is made between a drop of liquid and the nucleus of an atom. Some of the similarities they have are as follows :
1) Both Nucleus and Liquid Drop contain a large number of particles.
2) Both Nucleus and Liquid Drop are homogeneous and incompressible.
3) In the case of both a Nucleus and a Liquid Drop, the mass density remains constant throughout its volume and drops to zero only near the boundary surface.
4) Each nucleon particle inside a Nucleus interacts only with its nearest neighbors, just as the molecules in a Liquid Drop interact only with its nearest neighbors (and not some general potential field).
5) Both Nucleus and Liquid Drop show surface tension effect. This is the reason, both tends to be spherical in the absence of external forces.
6) Heat of vaporization (Evaporation) of a Liquid Drop can be compared to providing Binding Energy to a Nucleus.
7) The fission of a larger droplet into two smaller ones, and the fusion of two small droplets into a larger can be compared to the fission and fusion of Nuclei.
Because of these above similarities, the Nucleus is compared to a Liquid Drop. Hence, the Liquid Drop Model of the Nucleus.
Using this model, we can calculate the Binding Energy of any given nucleus, and recreate the Binding Energy Curve.
To do that, we can first calculate the different energy terms contributing towards the overall Binding Energy (by finding the necessary relationship with Mass Number, A and Atomic Number, Z)
These terms include :
a) The Volume Energy
b) The Surface Energy
c) The Coulombic Energy
This leads to an expression which gives us a theoretical way to calculate the Binding Energy of a Nucleus. Using that we can also plot the Binding Energy Curve, and see that it closes resembles the Binding Energy Curve of experimental data. Thus, we can see that The Liquid Drop Model of the Nucleus has some validity.
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NUCLEAR AND PARTICLE PHYSICS - Series :
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1) What is Nuclear Physics? ► https://youtu.be/6joildn5lqY
2) Nuclear Size / Radius ► https://youtu.be/1keKrGoqUAg
3) Quantization of Angular Momentum ► https://youtu.be/QHYJ4VpqAvs
4) Nuclear Spin and Angular Momentum ► https://youtu.be/LPYPhyioDfs
5) Nuclear Magnetic Moment ► https://youtu.be/3QniicZuVnc
6) Binding Energy of Nucleus & BE Curve ► https://youtu.be/BYRz_9wvJzA
7) Parity of Wave function ► https://youtu.be/BSTRJjElDdI
8) Symmetric & Anti symmetric Wave func ► https://youtu.be/wvnWCY9TKgw
9) Liquid Drop Model of Nucleus ► https://youtu.be/4q1i7yTcQmA
10) Corrections to Liquid Drop Model ► https://youtu.be/GeLC1AUC0W8
11) NZ Graph (& Maximizing BE) ► https://youtu.be/MHYrv_1VJdI
12) Fermi Energy of Nucleus ► https://youtu.be/aUPLjIjgYGk
13) Fermi Gas Model of Nucleus ► https://youtu.be/emSekijh7XI
14) Shell Model of Nucleus ► https://youtu.be/Rd0CJje59bE
15) Nature of (Strong) Nuclear Force) ► https://youtu.be/43AyN24jZw8
16) Alpha, Beta & Gamma Decay ► https://youtu.be/eUEgpcQHzIA
17) Gamow's Theory of Alpha Decay ► https://youtu.be/suj5MTLGAUU
18) Gamow's Theory (DERIVATION) ► https://youtu.be/QwT4tbA8UvI
19) Q Value and KE of Alpha Decay ► https://youtu.be/w0eEGiOYvus
20) Beta Decay & Neutrino Hypothesis ► https://youtu.be/avKic7oiwvA
21) Radioactive Decay Law ► https://youtu.be/fOMvJj39eTU
22) Nuclear Cross Section ► https://youtu.be/R0tdsaFJ4vg
23) Interaction of Nuclear Radiation with Matter ► https://youtu.be/Ara0eTv02No
24) What is Cherenkov Radiaton? ► https://youtu.be/AkR2daFw45U
25) Nuclear Detectors ► https://youtu.be/avvXftiyBEs
26) Geiger Muller Counter ► https://youtu.be/jxY6RC52Cf0
27) Scintillation Detector ► https://youtu.be/rjuFrk0-AOw
28) Semiconductor Detectors ► https://youtu.be/c1boCCYs77Q
29) What are Accelerators? ► https://youtu.be/-KslGjXEtKk
30) Van de Graaff Generator ► https://youtu.be/Q9bijrQfS6E
31) Linear Accelerator ► https://youtu.be/C79838wtRZo
32) Cyclotron ► https://youtu.be/L5zhpLfnqGc
33) Synchrotron ► https://youtu.be/rOXfm6EezeA
34) Betatron ► https://youtu.be/rOXfm6EezeA
35) Fission & Fusion ► https://youtu.be/L7_oi9zChqE
36) Proton-Proton & CNO Cycle ► https://youtu.be/aqnCfDqQlzA
37) Meson Theory of Nuclear Forces ► https://youtu.be/Wvjci2gP7eg
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