Page 9 - Essentials of physical chemistry
P. 9
viii Contents
Significance of the Bohr Quantum Number n ........................................................ 192
Orbital Screening..................................................................................................... 192
X-Ray Emission ...................................................................................................... 193
Forensic=Analytical Use of Auger X-Rays............................................................. 196
X-Ray Fluorescence ................................................................................................ 198
X-Ray Diffraction.................................................................................................... 199
Electronic Absorption Spectroscopy=Spectrophotometry ....................................... 202
Interpreting Electronic Spectra................................................................................ 204
General Principles of Spectroscopy ........................................................................ 209
Problems.................................................................................................................. 210
Bibliography............................................................................................................ 210
References ............................................................................................................... 211
Chapter 10 Early Experiments in Quantum Physics.................................................................. 213
Introduction ............................................................................................................. 213
Stefan–Boltzmann Law: Relating Heat and Light—Part I ..................................... 213
Blackbody Radiation: Relating Heat and Light—Part II........................................ 214
Photoelectric Effect ................................................................................................. 221
De Broglie Matter Waves........................................................................................ 225
Davisson–Germer Experiment ................................................................................ 226
Summary.................................................................................................................. 230
Problems.................................................................................................................. 231
References ............................................................................................................... 232
Chapter 11 The Schrödinger Wave Equation ............................................................................ 233
Introduction ............................................................................................................. 233
Definition of a Commutator .................................................................................... 242
Postulates of Quantum Mechanics.......................................................................... 243
Particle on a Ring.................................................................................................... 244
Comparison of PIB and POR Applications ............................................................ 247
Additional Theorems in Quantum Mechanics ........................................................ 247
Summary.................................................................................................................. 249
Problems.................................................................................................................. 250
Study, Test, and Learn?........................................................................................... 251
References ............................................................................................................... 252
Chapter 12 The Quantized Harmonic Oscillator: Vibrational Spectroscopy............................. 253
Introduction ............................................................................................................. 253
Harmonic Oscillator Details.................................................................................... 255
Harmonic Oscillator Results.................................................................................... 258
Reduced Mass ......................................................................................................... 262
Isotope Shift in the Vibrational Fundamental Frequency....................................... 264
Hermite Recursion Rule.......................................................................................... 265
Infrared Dipole Selection Rule................................................................................ 265
3N 6or 3N 5 Vibrations? ................................................................................. 267
Raman Spectroscopy ............................................................................................... 271
Summary.................................................................................................................. 274
Problems.................................................................................................................. 275
References ............................................................................................................... 275
