New Series Representation for the Madelung Constant | Zendy

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New Series Representation for the Madelung Constant

Author(s) -

Shachi Tyagi

Publication year - 2005

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.114.517

Subject(s) - series (stratigraphy) , physics , constant (computer programming) , representation (politics) , convergent series , madelung constant , basis (linear algebra) , theoretical physics , pure mathematics , mathematical analysis , mathematics , power series , geometry , computer science , crystallography , chemistry , lattice energy , crystal structure , paleontology , politics , political science , law , biology , programming language

A new series representation of the Madelung constant is given. We representMadelung constant as a sum of an exact term plus an exponentially fastconverging series. The remarkable result is that even if the series part isdiscarded, one obtains Madelung constant correct up to ten good decimalfigures. This, to the best of our knowledge, may be the fastest convergingseries representation of the Madelung constant. A few other importantidentities are also obtained

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