منابع مشابه
Elementary function expansions for Madelung constants
The Madelung constant-essentially the Coulomb energy density of a crystal-is usually calculated via Ewald error function expansions or, for the simpler cubic structures, by the 'cosech' series of modern vintage. By considering generalised functional equations for multidimensional zeta functions, we provide explicit expansions for the spatial potential and energy density of three-dimensional per...
متن کاملExact results for some Madelung type constants in the finite-size scaling theory
A general formula is obtained from which the Madelung type constant: C(d|ν) = ∞ 0 dxx d/2−ν−1 ∞ l=−∞ e −xl 2 d − 1 − π x d 2 extensively used in the finite-size scaling theory is computed analytically for some particular cases of the parameters d and ν. By adjusting these parameters one can obtain different physical situations corresponding to different geometries and magnitudes of the ...
متن کاملMadelung disease
400 Madelung disease, also known as multiple symmetric lipomatosis (MLS), benign symmetric lipomatosis (BSL) or Launois-Bensaude syndrome, is a rare metabolic condition characterized by symmetric, non-encapsulated (unlike lipomas) fat deposits on the patient’s body, usually around the neck, but in some cases also around shoulders, the upper trunk, chest and limbs. It was first described by Benj...
متن کاملMadelung, Gross-Pitaevskii and Korteweg
This paper surveys various aspects of the hydrodynamic formulation of the nonlinear Schrödinger equation obtained via the Madelung transform in connexion to models of quantum hydrodynamics and to compressible fluids of the Korteweg type.
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 1953
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.1698788