### Abstract

Hierarchies of equations for the correlation energy and kinetic energy correction functionals are reviewed. Truncation of the hierarchies at different orders leads to explicit relations for the correlation energy and its kinetic component which are expanded in terms of powers of the moments of the electron density. The dependence of the correlation energy on the adiabatic constant is presented for several atoms and ions. For some two- and four-electron systems the correlation energy and its derivative are compared with the exact results, and with the local density and the generalized gradient values.

Original language | English |
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Pages (from-to) | 475-481 |

Number of pages | 7 |

Journal | Chemical Physics Letters |

Volume | 324 |

Issue number | 5-6 |

Publication status | Published - Jul 14 2000 |

### Fingerprint

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Atomic and Molecular Physics, and Optics

### Cite this

*Chemical Physics Letters*,

*324*(5-6), 475-481.

**The correlation energy in terms of density moments along the adiabatic connection in the density functional theory.** / Bene, E.; Nagy, A.

Research output: Contribution to journal › Article

*Chemical Physics Letters*, vol. 324, no. 5-6, pp. 475-481.

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TY - JOUR

T1 - The correlation energy in terms of density moments along the adiabatic connection in the density functional theory

AU - Bene, E.

AU - Nagy, A.

PY - 2000/7/14

Y1 - 2000/7/14

N2 - Hierarchies of equations for the correlation energy and kinetic energy correction functionals are reviewed. Truncation of the hierarchies at different orders leads to explicit relations for the correlation energy and its kinetic component which are expanded in terms of powers of the moments of the electron density. The dependence of the correlation energy on the adiabatic constant is presented for several atoms and ions. For some two- and four-electron systems the correlation energy and its derivative are compared with the exact results, and with the local density and the generalized gradient values.

AB - Hierarchies of equations for the correlation energy and kinetic energy correction functionals are reviewed. Truncation of the hierarchies at different orders leads to explicit relations for the correlation energy and its kinetic component which are expanded in terms of powers of the moments of the electron density. The dependence of the correlation energy on the adiabatic constant is presented for several atoms and ions. For some two- and four-electron systems the correlation energy and its derivative are compared with the exact results, and with the local density and the generalized gradient values.

UR - http://www.scopus.com/inward/record.url?scp=0042226551&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042226551&partnerID=8YFLogxK

M3 - Article

VL - 324

SP - 475

EP - 481

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 5-6

ER -