The hydrogen atom energy spectrum

Опубликовано: 29 Май 2026
на канале: Professor M does Science
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📚 The hydrogen atom is the simplest and most abundant of all elements in the Universe. In this video, we explore the energy eigenvalues of the hydrogen atom. We discuss the principal, azimuthal, and magnetic quantum numbers, as well as the associated eigenvalue degeneracies. We also introduce the concepts of atomic shell and atomic subshell, and describe the widely used spectroscopic notation.

0:00 Intro
4:19 Energy eigenvalues degeneracies
11:22 Hydrogen atom quantum numbers
12:08 Atomic shells and atomic subshells
18:46 Spectroscopic notation
22:02 Wrap-up

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⏮️ BACKGROUND
Hydrogen atom basics:    • The hydrogen atom  
Hydrogen atom | Maths:    • Hydrogen atom: power series solution  
Hydrogen atom | Eigenvalues and eigenstates:    • Hydrogen atom: eigenvalues and eigenfuctions  
Hydrogen atom | Ground state:    • The hydrogen atom ground state  

⏭️ WHAT NEXT?
Hydrogen atom | Spectral series:    • The hydrogen spectral series  
Hydrogen fine structure: [COMING SOON]
Hydrogen hyperfine structure: [COMING SOON]
Spin 1/2: [COMING SOON]

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Director and writer: BM
Producer and designer: MC