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Understanding Luminescence Spectra and Efficiency Using Wp and Related Functions

There are both a remote and a proximate history in the development of this book. We would like to acknowledge first the perceptiveness of the technical administrators at RCA Laboratories, Inc. during the 1970s, and in particular Dr. P. N. Yocom. Buoyed up by the financial importance of yttrium oxysu...

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Bibliographic Details
Main Authors: Struck, Charles W., Fonger, William H. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1991, 1991
Edition:1st ed. 1991
Series:Inorganic Chemistry Concepts
Subjects:
Atoms
Chemistry, Physical And Theoretical
Laser
Physical Chemistry
Atomic, Molecular And Chemical Physics
Inorganic Chemistry
Theoretical Chemistry
Lasers
Molecules
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 1.1 Luminescence Centers and Models of Them
  • 1.2 The Simplest Model: One Coordinate and Equal Force Constants
  • 1.3 The Franck-Condon Principle for Nonradiative Rates
  • 2 Harmonic Oscillator Wavefunctions
  • 2.1 Hermite Polynomials
  • 2.2 Generating Function for the Harmonic Oscillator Wavefunctions
  • 3 The Manneback Recursion Formulas
  • 3.1 Introduction
  • 3.2 The Overlap Integral
  • 3.3 The Generating Function for the Overlap Integral
  • 3.4 The Recursion Formulas for the Overlap Integrals
  • 3.5 Familiarity
  • 3.6 The Orthonormality of the ANM Matrix
  • 3.7 Additional Equal-Force-Constants Recursion Relations
  • 4 The Luminescence Center: the Single-Configurational-Coordinate Model
  • 4.1 The Model for the Radiative Rate
  • 4.2 The Equal-Force-Constants Radiative Rate
  • 4.3 The Unequal-Force-Constants Radiative Rate
  • 4.4 The Model for the Nonradiative Rate
  • 4.5 The Wp Recursion Formula
  • 4.6 Explicit Series Expression for the Wp Function
  • 11.5 The SCC Model for Understanding Storage-Loss Processes in Oxysulfide: Eu Phosphors
  • 11.6 The Steady-State Efficiency and its Dependence on Excitation Intensity: B?/G
  • 11.7 The n0? Achieved
  • 11.8 The Rise Time
  • 11.9 The Assymetry Between Phosphorescence and Build-Up
  • 11.10 An Expression for Phosphorescence
  • 12 The Exponential Energy-Gap “Law” for Small-Offset Cases
  • 13 Conclusions
  • 14 References
  • Source Code
  • Source of Illustrations
  • 4.7 Ip Modified Bessel Function Form for Wp
  • 4.8 Limiting and Approximate Forms of Wp
  • 4.9 The 5-Wp Formula for Wp,z
  • 4.10 The p Formula
  • 4.11 The Wp,d/dz Expression
  • 4.12 The W-p/Wp and Related Ratios
  • 4.13 Equal-Force-Constants Moments
  • 4.14 Unequal-Force-Constants Moments
  • 5 Multiple Coordinate Models of a Luminescence Center
  • 5.1 The Einstein-Huang-Rhys-Pekar Single-Frequency Multiple-Coordinate Model
  • 5.2 The z and d/dz Multiple-Coordinate Nuclear Factors
  • 5.3 Multiple-Frequency Models of a Luminescence Center
  • 6 Energy Transfer
  • 6.1 The Model
  • 7 Compendium of Useful Equations
  • 7.1 The Wavefunctions
  • 7.2 The Manneback Recursion Formulas
  • 7.3 The Equal-Force-Constants Wp and Related Functions in One Dimension
  • 7.4 The Unequal-Force-Constants Expressions
  • 7.5 The Moments
  • 7.6 Multiple Coordinate Models of a Luminescence Center
  • 7.7 Energy Transfer
  • 8 Contact with the Theoretical Literature
  • 8.1 Unequal-Force-Constants Anm
  • 8.2 Equal-Force-Constants Anm
  • 8.3 The Wp Formula
  • 8.4 The Wp,d/dz Formula
  • 8.5 The Equal-Force-Constants Moments
  • 8.6 The Unequal-Force-Constants Moments
  • 8.7 The Single-Frequency-Multiple-Coordinate Derivative Operator Expressions
  • 8.8 Multiple-Frequency Rates
  • 8.9 Energy Transfer
  • 9 Representative Luminescence Centers
  • 9.1 Equal- and Unequal-Force-Constants Bandshapes and Nonradiative Transitions
  • 9.2 One-and NAv-Dimensional Bandshapes
  • 9.3 Vibrationally-Enhanced Radiative Transitions
  • 9.4 Comparisons of Nonradiative Rate Expressions
  • 10 Experimental Studies
  • 10.1 Eu in Oxysulfides and in Oxyhalides
  • 10.2 Oxysulfides: Other Rare Earths
  • 10.3 Alkali and Alkaline Earth Halides: Sm
  • 10.4 Ruby
  • 11 Effects Beyond the Model: Oxysulfide: Eu Storage and Loss Processes
  • 11.1 The Need for Enhancement of the Model
  • 11.2 Synopsis of the Experiments to Probe the Model
  • 11.3 The Model Equations: Notation
  • 11.4 CTS Dissociation: The B0/G Behavior

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