### Abstract

Good, density functional quality (B3LYP/6-31G*) ground state total electronic energies have been approximated using single point Hartree-Fock-self consistent field (HF-SCF/6-31G*) total energies and Mulliken partial charges versus. Mulliken matrix (electrons assigned to atoms and atoms pairs from Mulliken population analysis). This is a development of our rapid estimation of basis set error and correlation energy from partial charges (REBECEP) method, published earlier (see references [21,22,30]). The development is as follows: (1) A larger set of atoms (H, C, N, O, F, Si, P and S) are considered as building blocks for closed shell, neutral, ground state molecules at their equlibrium geometry; (2) geometries near equilibrium geometry are also considered; (3) A larger set, containing 115 molecules, was used to fit REBECEP parameters; (4) most importantly, electrons belonging to chemical bonds (between atom pairs) are also considered (Mulliken matrix) in addition to the atoms (Mulliken charges), using more REBECEP parameters to fit and yielding a more flexible algorithm. With these parameters a rather accurate closed shell ground state electronic total energy can be obtained from a small basis set HF-SCF calculation in the vicinity of optimal geometry. The 3.3 kcal/mol root mean square deviation of REBECEP improves to 1.5 kcal/mol when using Mulliken matrix instead of Mulliken charges.

Original language | English |
---|---|

Pages (from-to) | 298-307 |

Number of pages | 10 |

Journal | Theoretical Chemistry Accounts |

Volume | 115 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 2006 |

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### Keywords

- Ab initio total ground state electronic energy
- Basis set error
- Correlation energy
- Density functional theory
- Mulliken partial charge

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

### Cite this

**Rapid estimation of basis set error and correlation energy based on Mulliken charges and Mulliken matrix with the small 6-31g* basis set.** / Kristyán, S.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Rapid estimation of basis set error and correlation energy based on Mulliken charges and Mulliken matrix with the small 6-31g* basis set

AU - Kristyán, S.

PY - 2006/4

Y1 - 2006/4

N2 - Good, density functional quality (B3LYP/6-31G*) ground state total electronic energies have been approximated using single point Hartree-Fock-self consistent field (HF-SCF/6-31G*) total energies and Mulliken partial charges versus. Mulliken matrix (electrons assigned to atoms and atoms pairs from Mulliken population analysis). This is a development of our rapid estimation of basis set error and correlation energy from partial charges (REBECEP) method, published earlier (see references [21,22,30]). The development is as follows: (1) A larger set of atoms (H, C, N, O, F, Si, P and S) are considered as building blocks for closed shell, neutral, ground state molecules at their equlibrium geometry; (2) geometries near equilibrium geometry are also considered; (3) A larger set, containing 115 molecules, was used to fit REBECEP parameters; (4) most importantly, electrons belonging to chemical bonds (between atom pairs) are also considered (Mulliken matrix) in addition to the atoms (Mulliken charges), using more REBECEP parameters to fit and yielding a more flexible algorithm. With these parameters a rather accurate closed shell ground state electronic total energy can be obtained from a small basis set HF-SCF calculation in the vicinity of optimal geometry. The 3.3 kcal/mol root mean square deviation of REBECEP improves to 1.5 kcal/mol when using Mulliken matrix instead of Mulliken charges.

AB - Good, density functional quality (B3LYP/6-31G*) ground state total electronic energies have been approximated using single point Hartree-Fock-self consistent field (HF-SCF/6-31G*) total energies and Mulliken partial charges versus. Mulliken matrix (electrons assigned to atoms and atoms pairs from Mulliken population analysis). This is a development of our rapid estimation of basis set error and correlation energy from partial charges (REBECEP) method, published earlier (see references [21,22,30]). The development is as follows: (1) A larger set of atoms (H, C, N, O, F, Si, P and S) are considered as building blocks for closed shell, neutral, ground state molecules at their equlibrium geometry; (2) geometries near equilibrium geometry are also considered; (3) A larger set, containing 115 molecules, was used to fit REBECEP parameters; (4) most importantly, electrons belonging to chemical bonds (between atom pairs) are also considered (Mulliken matrix) in addition to the atoms (Mulliken charges), using more REBECEP parameters to fit and yielding a more flexible algorithm. With these parameters a rather accurate closed shell ground state electronic total energy can be obtained from a small basis set HF-SCF calculation in the vicinity of optimal geometry. The 3.3 kcal/mol root mean square deviation of REBECEP improves to 1.5 kcal/mol when using Mulliken matrix instead of Mulliken charges.

KW - Ab initio total ground state electronic energy

KW - Basis set error

KW - Correlation energy

KW - Density functional theory

KW - Mulliken partial charge

UR - http://www.scopus.com/inward/record.url?scp=33645702659&partnerID=8YFLogxK

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U2 - 10.1007/s00214-005-0039-3

DO - 10.1007/s00214-005-0039-3

M3 - Article

AN - SCOPUS:33645702659

VL - 115

SP - 298

EP - 307

JO - Theoretical Chemistry Accounts

JF - Theoretical Chemistry Accounts

SN - 1432-881X

IS - 4

ER -