Jacobi Dynamics by V. I. Ferronsky S. A. Denisik & S. V. Ferronsky

Author:V. I. Ferronsky, S. A. Denisik & S. V. Ferronsky
Language: eng
Format: epub
Publisher: Springer Netherlands, Dordrecht

From the Eq. 6.147 we may obtain the normalization constant q0, which will depend on the given law of charge distribution, as

(6.148)

Now it is easy to obtain expressions for and in the form

(6.149)

(6.150)

Finally, Eq. 6.146 for the potential energy Uc corresponding to one ion may be rewritten using Eqs. 6.148–6.150 in the form

(6.151)

It is easy to see in the right-hand side of Eq. 6.151 that the expression enclosed in brackets determines the inverse value of some effective diameter of the electron cloud, which may be expressed through the form factor αi of the ion and the radius ri, i.e.

(6.152)

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