1 / 4

Last hour: Angular momentum in multielectron atoms

Last hour: Angular momentum in multielectron atoms Total orbital angular momentum: quantum numbers: L, M L Total spin : quantum numbers: S, M S Total angular momentum: quantum numbers: J = L+S, …. , |L-S| in steps of 1; M J = -J, …, +J

birkholz
Download Presentation

Last hour: Angular momentum in multielectron atoms

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Last hour: Angular momentum in multielectron atoms • Total orbital angular momentum: quantum numbers: L, ML • Total spin: quantum numbers: S, MS • Total angular momentum: quantum numbers: J = L+S, …. , |L-S| in steps of 1; MJ = -J, …, +J • Levels of the same L  terms L = 0, 1, 2, 3, 4 S, P, D, F, G • LS coupling: for small Z, neglect spin-orbit coupling  makes total orbital, total spin, total angular momentum conserved  L, S, J are “good quantum numbers”, can be used to label terms • All terms have different energies • Atomic term symbols: 2S+1LJ • Microstate analysis to construct allowed term symbols

  2. Microstate Analysis for Constructing Atomic Term Symbols Step 1: Write down all possible values for L and S according to the electron configuration. Step 2: Construct a microstate table, containing all possible combinations of ML and MS, and fill it with microstates that can produce these combinations. Step 3: Identify states that are excluded due to the Pauli principle, and strike them from the table. Step 4: To obtain the first term symbol, identify the highest ML in the table, and the highest MS that belongs to this ML. The highest ML value will determine L of the term, and the MS belonging to it determines S. Strike one microstate from the table for each ML/MS combination that is part of the term. Step 5: Repeat Step 4 with the new (reduced) table until no more microstates are left.

  3. John Robinson Pierce, American engineer and author. Coined the term "transistor”, wrote science fiction under the pseudonym “J.J. Coupling”

  4. Emission and Absorption Spectrum of Sodium

More Related