/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} 78E In its ground state, carbon's 2p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: 78E (page 344)

In its ground state, carbon's 2pelectrons interact to produce jT=0. Given Hund's rule. what does this say about the total orbital angular momentum of these electrons?

Short Answer

Expert verified

Total orbital angular momentum isL=2h.

Step by step solution

01

Total spin of two electrons

The total spin of the two electronsSTis

ST=ST(ST+1)h 鈥�.(1)

02

total spin quantum number

The quantum number jT is zero jT=0.

The spin quantum number of each electron is s1=s2=12.

By using Hund's rule, we conclude that the total spin quantum number st is given by

ST=s1+s2=12+12ST=1

03

total spin of electrons

By using Eq. (I), we find the total spin of the electrons sT as

ST=sTsT+1h=1.1+1hST=2h

04

The total orbital angular momentum LT

Now, since jT=0, we conclude that the total orbital angular momentum LT must be equal to the total spin ST

LT=ST=2h

Hence the total orbital angular momentum is LT=2h.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Angular momenta J1and J2interact so that they obey the strict quantum mechanical rules for angular momentum addition. If J1=1and J2=32what angles between J1and J2 allowed?

Question: Concisely, why is the table periodic?

Using f2=L2+S2+2L-Sto eliminate L - S. as wellas L=l(l+1)h,S=s(s+1)andj(j+1)h, obtain equation (8- 32 )from the equation that precedes it.

The K伪line in copper is a very common one to use in X-ray crystallography. To produce it, electrons are accelerated through a potential difference and smashed into a copper target. Section 7.8 gives the energies in a hydrogen like atom asZ2(-13.6eV/n2) . Making the reasonable approximation that ann=1 electron in copper orbits the nucleus and half of its fellow n=1electron, being unaffected by the roughly spherical cloud of other electrons around it. Estimate the minimum accelerating potential needed to make a hole in copper'sKshell.

Question: Solving (or attempting to solve!) a 4-electron problem is not twice as hard as solving a 2-electrons problem. Would you guess it to be more or less than twice as hard? Why?
See all solutions

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Read Explanation

Space Physics

Read Explanation

Physical Quantities And Units

Read Explanation

Medical Physics

Read Explanation

Radiation

Read Explanation

Force

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.