عنوان

Understanding Luminescence Spectra and Efficiency Using Wp and Related Functions

3642486290

9783642486296

b568962

Understanding Luminescence Spectra and Efficiency Using Wp and Related Functions

[Book]

by Charles W. Struck, William H. Fonger.

Berlin, Heidelberg

Springer Berlin Heidelberg

1991

(xiii, 255 pages 70 illustrations)

Inorganic chemistry concepts, 13.

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 --; 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 --; 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.

This book gives a semiquantitative understanding of the properties observed in luminescence, i.e., where energy absorption and emission occur, and with what efficiency these conversion processes take place. The authors give a correct treatment of the offset dependence and the temperature dependence of nonradiative rates. The Wp function is defined as the sum of thermally weighted Franck-Condon factors. It is obtained in one dimension in several forms, and a useful recursion relation is derived between Wp's with nearby p indices. Two classes of applications are considered. First, an exposition of the broad classes of luminescence behavior is given and the Wp function and related functions are applied to each. Then the detailed application of these functions to specific experimental data, namely, to Eu3+, Tm3+, and Yb3+ in oxysulfides and oxychlorides and to Cr3+ in ruby is extensively discussed. The authors give a thorough review of the related literature. The many exact and approximate forms, some with certain errors, for Wp and related functions are listed and their relationship to Wp are given.

Chemistry, Inorganic.

Chemistry.

Physical organic chemistry.

by Charles W. Struck, William H. Fonger.

Charles W Struck

William H Fonger

[Book]

Y