Moliere

The 4>(r) can be expressed in various fomis [30], e.g. the Bolir, Bom-Mayer, Thomas-Femii-Firsov and Moliere models, as well as the universal potential of Ziegler, Biersack and Littmark known as the ZBL potential [31]. The ZBL potential fiinction is expressed as... 

In conclusion, the repulsive interactions arise from both a screened coulomb repulsion between nuclei, and from the overlap of closed inner shells. The former interaction can be effectively described by a bare coulomb repulsion multiplied by a screening function. The Moliere function, Eq. (5), with an adjustable screening length provides an adequate representation for most situations. The latter interaction is well described by an exponential decay of the form of a Bom-Mayer function. Furthermore, due to the spherical nature of the closed atomic orbitals and the coulomb interaction, the repulsive forces can often be well described by pair-additive potentials. Both interactions may be combined either by using functions which reduce to each interaction in the correct limits, or by splining the two forms at an appropriate interatomic distance . 

Elastic scattering cross sections were caleulated using the Rutherford formula, taking into account the screening parameter given by Moliere [187], The differential cross section (dc/ df2)ei and total cross sections cTei for each molecule are represented by... 

Moliere was the pseudonym of Jean Baptiste Poquelin (1622-1673). See Molihe. The Misanthrop and Other Plays, translated with an introduction by John Wood (New York Penguin Books, 1959). 

Moliere, The Misanthrop and Other Plays, 276. Macquer, Elements, vol. i, 10. 

In the spirit of Moliere s bourgeois gentilhomme, chemical kineticists have been studying non-linear reactions almost all of their lives, often without realizing it. The only systems which are not non-linear are the linear ones. In the present context, that means only first-order processes escape the non-linear net, and even these get caught if there is the slightest departure from isothermal operation. 

Compare the savage irony of Jonson s hyperbole and the harsh ending of Volpone with the same elements in Moliere s Tartuffe. 

Jean gives to us a wonderful example of a rich and extremely well-filled scientific life, following his passion for science and teaching up to the very last moment, and he certainly realized his unconfessed wish dying, like Moliere, on the stage. Jean Montreuil s influence and scientific contributions will continue to have a lasting impact on current and future scientists. He leaves us a very substantial legacy. 

Moliere central potential — an analytical expression to approximate the repulsive potential between two atoms at short range. The universal pairwise potential requires only two parameters — the atomic numbers of the interacting atoms. 

CNRS, Laboratory of Glaciology and Geophysics of the Environment, 64, rue Moliere,University Campus, P.O. Box 96, 38402 Saint Martin d Heres cedex, France and Section for Formation and Research in Mechanics and Physics, Joseph Fourier University of Grenoble, University Campus, P.O. Box 68, 38041 Grenoble, France... 

Thies, F., Pillon, C., Moliere, P., Lagarde, M. and Lecerf, J. (1994) Preferential incorportation of sn-2 lysoPC DHA over unesterified DHA in the young rat brain. Am. J. Physiol. 267 R1273-1279. 

In a previous study [39] various ion models were tested and a new model was proposed, which was called the Moliere-ion potential . Due to its simplicity and good comparison with other models (including Dedkov s model for ions [43] and Moliere and Thomas-Fermi models for neutral atoms [44]) we have used this model throughout this study. 

In this model, the ionic component, Vion(0 = is determined by the Moliere-ion function <(>Mi(O (i-e., 0ion — which -following the form of the original Moliere function - is expressed as... 

To understand the basic difference arising from the linear and non-linear models with respect to the deduced effective charge values, we have performed energy loss calculations for partially stripped ions with two models (i) the linear DF model, and (ii) the present non-linear theory (NL). The linear calculations have been performed using equation (6) and using the DF obtained by Lindhard [13]. The electronic structure of the ions in both calculations was represented by the same Moliere-ion function. 

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