Fermi Energy of Nucleus (Derivation)

What is Fermi Energy of a nucleus? In the Fermi Gas Model of the nucleus, it is assumed that the particles inside the nucleus (protons and neutrons) are present in a general potential field which can be approximated to that of a 3D square/ rectangular potential well. Since protons and neutrons are fermions, they will organize themselves in discrete energy levels. These energy levels are the result of the Schrodinger Equation solution for the case of a 3D rectangular potential. Fermi Energy is the difference between the highest occupied energy level and the lowest occupied energy level in the ground state configuration of a nucleus. In this video, I derive the Fermi Energy for a nucleus. As you will see, the Fermi Energy of protons is different from that of neutrons. **********Correction************ Near the end of the video, I mistakenly wrote the power of one expression as 1/3 while it should have been 2/3.. Rest of the calculations are correct ******************************** ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ Support💖https://www.patreon.com/dibyajyotidas Donate🤝🏻https://paypal.me/FortheLoveofPhysics Telegram - https://t.me/FortheLoveofPhysicsYT ▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱ Follow my other videos here... •••••••••••••••••••••••••••••••••••••••••• NUCLEAR AND PARTICLE PHYSICS - Series : •••••••••••••••••••••••••••••••••••••••••• 1) What is Nuclear Physics? ► /watch/Yql5ndlioj6i5 2) Nuclear Size / Radius ► /watch/gAUqoGrKek1Kq 3) Quantization of Angular Momentum ► /watch/svAqpV4JYHQJq 4) Nuclear Spin and Angular Momentum ► /watch/sfDoiyhPYPLPo 5) Nuclear Magnetic Moment ► /watch/cnVuZciinQ3iu 6) Binding Energy of Nucleus & BE Curve ► /watch/AzJvw9_zRYBzv 7) Parity of Wave function ► /watch/IdDlEjJRTSBRl 8) Symmetric & Anti symmetric Wave func ► /watch/wgKT9YCWnvwWT 9) Liquid Drop Model of Nucleus ► /watch/AmQcTy7i1q4ic 10) Corrections to Liquid Drop Model ► /watch/8W0CUA1CLeGCC 11) NZ Graph (& Maximizing BE) ► /watch/IdJV1_vrYHMrV 12) Fermi Energy of Nucleus ► /watch/kGYgjIjLPUaLg 13) Fermi Gas Model of Nucleus ► /watch/IX7hjikeSmeeh 14) Shell Model of Nucleus ► /watch/Eb95ejJC0dRC5 15) Nature of (Strong) Nuclear Force) ► /watch/8wZj42NyA34yj 16) Alpha, Beta & Gamma Decay ► /watch/AIzHQcpgEUegH 17) Gamow's Theory of Alpha Decay ► /watch/UUAGLTM5jus5G 18) Gamow's Theory (DERIVATION) ► /watch/IvU8Abt4TwQ48 19) Q Value and KE of Alpha Decay ► /watch/suvYOiGEe0wEY 20) Beta Decay & Neutrino Hypothesis ► /watch/Avwio7ciKvaii 21) Radioactive Decay Law ► /watch/UTe93jJvMOfv9 22) Nuclear Cross Section ► /watch/gv4JFasdt0RdJ 23) Interaction of Nuclear Radiation with Matter ► /watch/oN20vTe0arA00 24) What is Cherenkov Radiaton? ► /watch/U54wFad2RkA2w 25) Nuclear Detectors ► /watch/sEByitfXvvaXy 26) Geiger Muller Counter ► /watch/0fC25CR6Yxj62 27) Scintillation Detector ► /watch/wOA-0krFujrF- 28) Semiconductor Detectors ► /watch/Q77sYCCob1cos 29) What are Accelerators? ► /watch/kKtEXjGlsK-lE 30) Van de Graaff Generator ► /watch/E6SfQrjib9Qif 31) Linear Accelerator ► /watch/oZRtw83897C8t 32) Cyclotron ► /watch/cGqnfLphz5Lhn 33) Synchrotron ► /watch/AezeE6mfXOrfe 34) Betatron ► /watch/AezeE6mfXOrfe 35) Fission & Fusion ► /watch/EqhCz9io_7LoC 36) Proton-Proton & CNO Cycle ► /watch/AzlQqDfCnqaCQ 37) Meson Theory of Nuclear Forces ► /watch/ge7Pg2icjvWcP ••••••••••••••••••••••••••••••••••••••••••• NUCLEAR PHYSICS - PLAYLIST /playlist/PLRN3HroZGu2n_j3Snd_fSYNLvCkao8HIx ••••••••••••••••••••••••••••••••••••••••••• #NuclearPhysics

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