Professor M does Science | The hydrogen atom ground state @ProfessorMdoesScience | Uploaded January 2023 | Updated October 2024, 1 hour ago.
๐ป Book a 1:1 session: docs.google.com/forms/d/e/1FAIpQLScUL187erItvC7GPnNU2pelsueyVFr94nRq2A5Eq2aVRdGiIQ/viewform?pli=1
๐ The hydrogen atom is the simplest and most abundant of all elements. In this video, we study a range of properties of the ground state of the hydrogen atom. We explore the energy necessary to dissociate the proton and electron in hydrogen, called the ionization energy; the typical size of a hydrogen atom, called the Bohr radius; and the relative contribution of kinetic and potential energies in hydrogen, which we relate to the virial theorem.
0:00 Intro
1:12 Hydrogen atom basics
4:04 Ground state energy: ionization energy
8:50 Ground state wave function: Bohr radius
22:55 Virial theorem
29:20 Wrap-up
โฎ๏ธ BACKGROUND
Hydrogen atom basics: youtu.be/lndTguV0u1g
Hydrogen atom | Maths: youtu.be/8NJm4Jkp0jY
Hydrogen atom | Eigenvalues and eigenstates: youtu.be/T78NkndaMb8
Central potentials: youtu.be/Y73ctxnP9gQ
Spherical harmonics: youtu.be/5PMqf3Hj-Aw
Virial theorem: youtu.be/QzUiVboHcKI
โญ๏ธ WHAT NEXT?
Hydrogen atom | Energy spectrum: youtu.be/GV2CDZD2xNk
Hydrogen atom | Spectral series: youtu.be/XawP16g7dJ8
~
Director and writer: BM
Producer and designer: MC
๐ป Book a 1:1 session: docs.google.com/forms/d/e/1FAIpQLScUL187erItvC7GPnNU2pelsueyVFr94nRq2A5Eq2aVRdGiIQ/viewform?pli=1
๐ The hydrogen atom is the simplest and most abundant of all elements. In this video, we study a range of properties of the ground state of the hydrogen atom. We explore the energy necessary to dissociate the proton and electron in hydrogen, called the ionization energy; the typical size of a hydrogen atom, called the Bohr radius; and the relative contribution of kinetic and potential energies in hydrogen, which we relate to the virial theorem.
0:00 Intro
1:12 Hydrogen atom basics
4:04 Ground state energy: ionization energy
8:50 Ground state wave function: Bohr radius
22:55 Virial theorem
29:20 Wrap-up
โฎ๏ธ BACKGROUND
Hydrogen atom basics: youtu.be/lndTguV0u1g
Hydrogen atom | Maths: youtu.be/8NJm4Jkp0jY
Hydrogen atom | Eigenvalues and eigenstates: youtu.be/T78NkndaMb8
Central potentials: youtu.be/Y73ctxnP9gQ
Spherical harmonics: youtu.be/5PMqf3Hj-Aw
Virial theorem: youtu.be/QzUiVboHcKI
โญ๏ธ WHAT NEXT?
Hydrogen atom | Energy spectrum: youtu.be/GV2CDZD2xNk
Hydrogen atom | Spectral series: youtu.be/XawP16g7dJ8
~
Director and writer: BM
Producer and designer: MC