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An electron has spin angular momentum and orbital angular momentum. For the 3$d$ electron in scandium, what percent of its total orbital angular momentum is its spin angular momentum in the $z$ direction?

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20.4$\%$

Physics 103

Chapter 29

Atoms, Molecules, and Solids

Atomic Physics

Nuclear Physics

University of Sheffield

University of Winnipeg

McMaster University

Lectures

02:42

Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus. It is primarily concerned with the arrangement of electrons around the nucleus and the processes by which these arrangements change. The theory of quantum mechanics, a set of mathematical rules that describe the behaviour of matter and its interactions, provides a good model for the description of atomic structure and properties.

02:26

In physics, nuclear physics is the field of physics that studies the constituents and interactions of atomic nuclei. The most commonly known applications of nuclear physics are nuclear power generation and nuclear weapons technology, but the research has provided application in many fields, including those in nuclear medicine and magnetic resonance imaging, ion implantation in materials engineering, and radiocarbon dating in geology and archaeology.

02:28

An electron has spin angul…

03:27

The orbital angular moment…

04:38

What is the magnitude of t…

00:33

$\cdot$ The orbital angula…

01:40

02:45

(a) What is the magnitude …

01:21

If an electron has an orbi…

01:54

Consider an electron for w…

okay. And this problem, we're concerned with the ratio of the orbital angular momentum to spin angular momentum and dizzy and direction for the three D electron and scanned IAM. So, um, we just want us see, um, divided by L s is equal to 1/2 h bar and because it's an electron, and then Al is gonna be the scribe it of all times l plus one. And if it's ideas electron than L a sequel to two. Oh, yeah, Sometimes age bar. So plugging in l equals two gives me 1/2 divided by the square root of sex, and ah, that's 20.4% 20.4%.

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