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Publications Influence

Molecular Fluorescence: Principles and Applications

- B. Valeur, M. Berberan-Santos
- Chemistry
- 11 October 2001

Preface. Prologue. Introduction. Absorption of UV--visible light. Characteristics of Fluorescence Emission. Effects of Intermolecular Photophysical Processes on Fluorescence Emission. Fluorescence… Expand

3,493 146

Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential)

- M. Berberan-Santos, E. N. Bodunov, B. Valeur
- Chemistry
- 8 August 2005

The Kohlrausch (stretched exponential) decay law is analyzed in detail. Analytical and approximate forms of the distribution of rate constants and related functions are obtained for this law. A… Expand

424 8- PDF

On the barometric formula

- M. Berberan-Santos, E. N. Bodunov, L. Pogliani
- Physics
- 1 May 1997

The barometric formula, relating the pressure p(z) of an isothermal, ideal gas of molecular mass m at some height z to its pressure p(0) at height z=0, is discussed. After a brief historical review,… Expand

103 6- PDF

A Brief History of Fluorescence and Phosphorescence before the Emergence of Quantum Theory

- B. Valeur, M. Berberan-Santos
- Physics
- 18 March 2011

Fluorescence and phosphorescence are two forms of photoluminescence used in modern research and in practical applications. The early observations of these phenomena, before the emergence of quantum… Expand

132 5- PDF

Expressing a Probability Density Function in Terms of another PDF: A Generalized Gram-Charlier Expansion

- M. Berberan-Santos
- Mathematics
- 31 August 2007

An explicit formula relating the probability density function with its cumulants is derived and discussed. A generalization of the Gram-Charlier expansion is presented, allowing to express one PDF in… Expand

30 3- PDF

Analytical inversion of the Laplace transform without contour integration: application to luminescence decay laws and other relaxation functions

- M. Berberan-Santos
- Mathematics
- 1 August 2005

Laplace transforms find application in many fields, including time-resolved luminescence. In this work, relations that allow a direct (i.e., dispensing contour integration) analytical calculation of… Expand

43 3- PDF

Constantin Carathéodory and the axiomatic thermodynamics

- L. Pogliani, M. Berberan-Santos
- Mathematics
- 1 December 2000

The birth, raise, development and fortunes of a fundamental theory in thermodynamics, the axiomatic thermodynamics, a creation of Constantin Carathéodory, is thoroughly presented together with a… Expand

34 3- PDF

Fluorescence of Supermolecules, Polymers, and Nanosystems

- M. Berberan-Santos
- Materials Science
- 2008

Part 1: History and fundamental aspects A.U. Acuna: Early History of Solution Fluorescence: The 'Lignum Nephriticum' of Nicolas Monardes.- B. Valeur: From Well-Known to Underrated Applications of… Expand

35 2- PDF

Properties of the Mittag-Leffler Relaxation Function

- M. Berberan-Santos
- Mathematics
- 1 November 2005

The Mittag-Leffler relaxation function, Eα(−x), with 0 ≤ α ≤ 1, which arises in the description of complex relaxation processes, is studied. A relation that gives the relaxation function in terms of… Expand

58 2- PDF

The van der Waals equation: analytical and approximate solutions

- M. Berberan-Santos, E. N. Bodunov, L. Pogliani
- Chemistry
- 1 May 2008

The thermodynamic properties, enthalpy of vaporization, entropy, Helmholtz function, Gibbs function, but especially the heat capacity at constant volume of a van der Waals gas (and liquid) at the… Expand

29 2- PDF

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