Atomic Orbitals: The Quantum Clouds That Gave Birth to Chemistry and Matter?
The Schrödinger Equation shows its full power when we "solve it in a hydrogen atom." We glimpse an extraordinary world of quantum clouds of probabilities, from which all of chemistry comes to life. Atomic orbitals are three-dimensional spatial regions where the electron lurks somewhere around the nucleus. In this video, we'll take a journey into this extraordinary, invisible, and bizarre world. Using the tools available to us in quantum mechanics, we'll try to understand wave functions, quantum numbers, spherical harmonics, and many other quantum wonders. #quantum #chemistry #science #yousciences #physics #doctorgiux #quantum #mathematics #orbital
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Further reading:
Table of Spherical Harmonics: https://it.wikipedia.org/wiki/Tavola_...
Spherical Harmonics: https://www2.math.upenn.edu/~cle/math...
Atomic orbitals: https://en.wikipedia.org/wiki/Atomic_...
3D representation of orbitals: https://www.quantum-physics.polytechn...
Orchin, Milton; Macomber, Roger S.; Pinhas, Allan; Wilson, R. Marshall (2005): https://media.wiley.com/product_data/...
Complete Table (orbitals): https://www.orbitals.com/orb/orbtable...
Quantum Mechanics Books:
➤Dirac, Paul A. M. The Principles of Quantum Mechanics. Paolo Boringhieri, Turin 1959 (1958).
➤J.J. Sakurai, Jim Napolitano, Modern Quantum Mechanics,
second edition, Zanichelli.
➤R.P. Feynman et al., Feynman's Physics, Volume III, Masson
➤L. Landau and E. Lifschitz, Quantum Mechanics, Editori Riuniti.
➤S. Gasiorowicz, Quantum Physics, J. Wiley & Sons.
➤Born, Max., Atomic Physics, Boringhieri 1968 BU Manual
➤Feynman, The Physics of, vol. 3, Quantum Mechanics, Zanichelli, Bologna 2001 - BU
Other materials:
➤https://dalfovo.science.unitn.it/lezi...
➤http://www.cs.infn.it/appunti/appunti...
➤https://www.eoinfnpr.it/Appunti_2015.pdf
➤Book collection: https://www.lfns.it/STORIA/Download/P...
Chapter summary
00:00 Overture
02:02 Coulomb Potential
04:42 Spectroscopy
08:30 Wave Functions
09:35 Spherical Nuclear Coordinates
12:13 Spherical Harmonics
13:46 Quantum Numbers (n) and (l)
15:39 Sharp orbitals (s)
5:00 PM Principal orbitals (p)
6:57 PM Nodal planes
7:48 PM Magnetic quantum number (mL)
9:04 PM Diffuse orbitals (d)
11:48 PM Orbital angular momentum
12:00 PM Spin (mS)
12:41 PM Fundamental orbitals (f)
10:20 PM Unsöld's theorem
10:29 PM Probability
10:20 PM Boundary surfaces
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