Download presentation

Presentation is loading. Please wait.

Published byTiara Tillison Modified over 3 years ago

1
happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com

2
Ch 41 Atomic Structure © 2005 Pearson Education

3
41.1 The Hydrogen Atom energy levels of hydrogen magnitude of orbital angular momentum components of orbital angular momentum © 2005 Pearson Education

6
Example 41.1 How many distinct (n, l, m l ) state of the hydrogen atom with =3 are there? Find the energy of these states. How many distinct (n, l, m l ) state of the hydrogen atom with =3 are there? Find the energy of these states.ANS: © 2005 Pearson Education

7
probability that the electron is between r and r+dr smallest r, Bohr model © 2005 Pearson Education Electron Probability Distributions

8
© 2005 Pearson Education 3-D probability distribution of hydrogen atom

9
© 2005 Pearson Education Cross sections of 3-D probability distributions

10
41.2 The Zeeman Effect © 2005 Pearson Education Zeeman effect is the splitting of atomic energy levels and the associated spectrum lines when the atoms are placed in magnetic field

11
Bohr magneton Magnetic moment: Vector Area For I=ev/2πr © 2005 Pearson Education In Bohr model, L=nh/2. For n=1, µ µ B orbital magnetic interaction energy

12
© 2005 Pearson Education Selection Rules

13
41.3 Electron Spin © 2005 Pearson Education

14
components of spin angular momentum magnitude of spin angular momentum © 2005 Pearson Education Spin Quantum Number

15
41.4 Many-Electron Atoms and the Exclusion Principle allowed values of quantum numbers © 2005 Pearson Education

16
The Exclusion Principle No two electrons can occupy the same quantum-mechanical state in a given system. That is no two electrons in an atom can have the same values of all four quantum numbers (n, l, m l, m s ).

17
© 2005 Pearson Education

18
41.5 X-Ray Spectra © 2005 Pearson Education

20
Moseley’s law © 2005 Pearson Education

21
The Schrodinger equation for the hydrogen atom gives the same energy levels as the Bohrmodel. If the nucleus has charge Ze, there is an additional factor of Z 2 in the numerator of Eq. (41.3). The Schrodinger equation also shows that the possible magnitudes L of orbital angular momentum are given by Eq. (41.4), and that the possible values of the z- component of orbital angular momentum are given by Eq. (41.5). (See Example 41.1 and 41.2) © 2005 Pearson Education

22
The probability that an atomic electron is between r and r + dr from the nucleus is P(r) dr, given by Eq. (41.7). Atomic distances are often measured in units of a, the smallest distance between the electron and the nucleus in the Bohr model. (See Example 41.3) © 2005 Pearson Education

23
The interaction energy of an electron (mass m) with magnetic quantum number m l in a magnetic field along the +z-direction is given by Eq. (43.17) or (43.18), where is called the Bohrmagneton. (See Example 41.4)

24
© 2005 Pearson Education An electron has an intrinsic spin angular momentum of magnitude S, given by Eq. (41.20). The possible values of the z-component of the spin angular momentum are, where m s =± 1/2. (See Examples 41.5 and 41.6)

25
In a hydrogen atom, the quantum numbers n, l, m l, and m s of the electron have certain allowed values given by Eq. (41.26). In a many- electron atom, the quantum numbers for each electron are the same, but the energy levels depend on both n and l because of screening, the partial cancellation of the field of the nucleus by the inner electrons. The idea of screening is related to the central-field approximation, in which each electron moves in the electric field of the nucleus and of the averaged-out, spherically symmetric charge distribution of all the remaining electrons. If the effective (screened) charge attracting an electrons is Z eff e, the energies of the levels are given approximately by Eq. (41.27). (See Examples 41.7 and 41.8) © 2005 Pearson Education

26
Moseley’s law states that the frequency of a K α x ray from a target with atomic number Z is given by Eq. (41.29). Characteristic x-ray spectra result from transitions to a hole in an inner energy level of an atom. (See Example 41.9)

27
END Visit: happyphysics.com For Physics Resources

Similar presentations

OK

Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on placement in hrm Ppt on english language learning Ppt on indian army weapons systems Ppt on oracle database Ppt on online shopping cart system Ppt on power grid failure video Ppt on history of australia Ppt on our nation india Ppt on eid festival images Ppt on synthesis and degradation of purines and pyrimidines nucleotides