Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 126, Issue 19, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.2741244
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An analytical relationship between the densities of the Shannon entropy and Fisher information for atomic and molecular systems has been established in this work. Two equivalent forms of the Fisher information density are introduced as well. It is found that for electron densities of atoms and molecules the Shannon entropy density is intrinsically related to the electron density and the two forms of the Fisher information density. The formulas have been confirmed by the numerical results for the first two-row atoms. (C) 2007 American Institute of Physics.
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