Infinite Square Well “Particle in a Box”: Hydrogen (like) Atom Bohr Model: eV Bohr radius: a 0 = 0.0529 nm Orbital angular momentum.

Slides:



Advertisements
Similar presentations
2D square box – separation of variables n y =1,2,3,….n x =1,2,3,…. Ground state of 1D infinite square well. n y =1,2,3,…. n x =1,2,3,….
Advertisements

WAVE MECHANICS (Schrödinger, 1926) The currently accepted version of quantum mechanics which takes into account the wave nature of matter and the uncertainty.
Chapter 42 Serway & Jewett 6 th Ed.. Hydrogen Atomic Spectra Nitrogen.
Lecture 17: The Hydrogen Atom
Dr. Jie ZouPHY Chapter 42 Atomic Physics (cont.)
Quantum Mechanics in three dimensions.
Spin Quantum Number and Spin Example: Electron, s = ½ (fermion) Implications? Spin angular momentum is INTRINSIC to a particle mass charge spin More 
Infinite Potential Well … bottom line
Quantum Theory of Atoms The Bohr theory of Hydrogen(1913) cannot be extended to other atoms with more than one electron we have to solve the Schrödinger.
Wave mechanics in potentials Modern Ch.4, Physical Systems, 30.Jan.2003 EJZ Particle in a Box (Jason Russell), Prob.12 Overview of finite potentials Harmonic.
Chapter 41 Atomic Structure
The Hydrogen Atom continued.. Quantum Physics 2002 Recommended Reading: Harris Chapter 6, Sections 3,4 Spherical coordinate system The Coulomb Potential.
Atomic Structure and Periodicity. Atoms ProtonsNeutronsElectrons 1. Where are the electrons 2. Do they have different energies.
Ch 9 pages Lecture 23 – The Hydrogen Atom.
Quantum mechanics unit 2
Physics 2170 – Spring Electron spin Homework is due Wednesday at 12:50pm Problem solving sessions M3-5.
Quantum Mechanical Model of the Atom Chapter 6 Part III.
Lecture VIII Hydrogen Atom and Many Electron Atoms dr hab. Ewa Popko.
Atomic Orbitals Glenn V. Lo Department of Physical Sciences Nicholls State University.
Bohr Model Since the energy states are quantized, the light emitted from excited atoms must be quantized and appear as line spectra. After lots of math,
CHEMISTRY 161 Chapter 7 Quantum Theory and Electronic Structure of the Atom
Physics 451 Quantum mechanics I Fall 2012 Nov 5, 2012 Karine Chesnel.
Baby-Quiz 1.If all objects emit radiation, why don’t we see most of them in the dark? 2.Suppose you were a nineteenth-century scientist who had just discovered.
Hydrogen Atom – Atomic Orbitals Lecture - 3 X Y Z x P (e - ) z Q y R.
An Electron Trapped in A Potential Well Probability densities for an infinite well Solve Schrödinger equation outside the well.
Chapter 7 The Quantum-Mechanical Model of the Atom
Copyright©2000 by Houghton Mifflin Company. All rights reserved. 1 Electromagnetic Radiation Radiant energy that exhibits wavelength-like behavior and.
Physics 451 Quantum mechanics I Fall 2012 Nov 7, 2012 Karine Chesnel.
LECTURE 21 THE HYDROGEN AND HYDROGENIC ATOMS PHYSICS 420 SPRING 2006 Dennis Papadopoulos.
Hydrogen Atom and QM in 3-D 1. HW 8, problem 6.32 and A review of the hydrogen atom 2. Quiz Topics in this chapter:  The hydrogen atom  The.
Physics 2170 – Spring Rest of semester Investigate hydrogen atom (Wednesday 4/15 and Friday 4/17) Learn.
Quantum-Mechanical View of Atoms
Modern Physics (II) Chapter 9: Atomic Structure
Quantum Theory the modern atomic model. Bohr Model of the Atom a quantum model proposed by Niels Bohr in 1913 It helped to explain why the atomic emission.
Understanding Atoms Chapter 42. The Bohr Model – good but not perfect! For Hydrogen and “Hydrogenic” atoms predicts the Rydberg formula For Hydrogen.
Chapter 35 Quantum Mechanics of Atoms. S-equation for H atom 2 Schrödinger equation for hydrogen atom: Separate variables:
Quantum mechanics unit 2
Quantum Atom. Problem Bohr model of the atom only successfully predicted the behavior of hydrogen Good start, but needed refinement.
Chapter 7 Atomic Structure & Periodicity. Electromagnetic Radiation O Waves (wavelength, frequency & speed) O  c (page 342: #39) O Hertz O Max Planck.
Quantum Chemistry: Our Agenda (along with Engel)
The Bohr Model and The principal Quantum Number Physics 12 Adv.
Physics 451 Quantum mechanics I Fall 2012 Nov 20, 2012 Karine Chesnel.
A QUANTUM LEAP IN MATH By Michael Smith.
Standing Waves Reminder Confined waves can interfere with their reflections Easy to see in one and two dimensions –Spring and slinky –Water surface –Membrane.
Chapter 7 The Quantum- Mechanical Model of the Atom.
Atomic Structure and Atomic Spectra
Lecture 11. Hydrogen Atom References Engel, Ch. 9
Text page Applying Quantum Mechanics to Electrons in Atoms Quantum Numbers In an atom, these three-dimensional electron waves or orbitals are more.
Electron Configuration Assigning Electrons to Orbitals.
Hydrogen Atom PHY Outline  review of L z operator, eigenfunction, eigenvalues rotational kinetic energy traveling and standing waves.
By : Ana Alina & Firdiana Sanjaya. Each time a photon bounces off the electron, momentum is transferred to the electron. The more photons you use, the.
Quantum Atom. Problem Bohr model of the atom only successfully predicted the behavior of hydrogen Good start, but needed refinement.
Physics 1202: Lecture 34 Today’s Agenda Announcements: Extra creditsExtra credits –Final-like problems –Team in class –Teams 5 & 6 HW 10 due FridayHW 10.
Lectures in Physics, summer 2008/09 1 Modern physics 6. Hydrogen atom in quantum mechanics.
Solar Sail uses radiation pressure for mission to asteroid
Quantum Theory of Hydrogen Atom
7. Quantum-Mechanical View of Atoms
Quantum Physics Schrödinger
Hydrogen Revisited.
Lecture 27 Hydrogen 3d, 4s and 4p
Chapter 7 Atomic Physics.
Quantum Mechanical View of Atoms
Hydrogen Atom Returning now to the hydrogen atom we have the radial equation left to solve The solution to the radial equation is complicated and we must.
QM2 Concept Test 2.1 Which one of the following pictures represents the surface of constant
Modern Physics Photoelectric Effect Bohr Model for the Atom
Quantum Theory of Hydrogen Atom
 .
7. Quantum-Mechanical View of Atoms
More About Matter Waves
The Quantum-Mechanical Hydrogen Atom
Presentation transcript:

Infinite Square Well “Particle in a Box”: Hydrogen (like) Atom Bohr Model: eV Bohr radius: a 0 = nm Orbital angular momentum

Schroedinger Equation: Time Independent S. E. in 1D: T. I. S. E. in 3D: T. I. S. E. in spherical coordinates: See Eq Spherical Coordinates

ConcepTest #77

NameSymbolValuesCommentsPhysical Quantity Principal quantum number Relates to energy Orbital quantum number Relates to orbital angular momentum Magnetic quantum number Relates to z-component of orbital angular momentum Typo in eq ?

ConcepTest #78

Orbital angular momentum and z-component: Take case

ConcepTest #79

Transitions and Selection Rules: Some transitions are forbidden by radiative processes… Figure 36-7

Hydrogen Atom Wave Functions and Probability Densities ConcepTest #80

Radial Probability Densities Hydrogen Atom Probability