### Abstract

The total electronic energies of the six electrons per atom (e^{-} per atom) alloys W, TaRe, HfOs, and YIr and the seven electrons per atom alloys Re, WOs, TaIr, HfPt, and YAu have been calculated in the local density approximation of density functional theory. When one considers common alloy structures such as atomically ordered variants of the body-centered cubic, face-centered cubic, or hexagonally closest packed structures and plots the total electronic energy as a function of the unit cell parameter, one finds for both the six and seven electrons per atom series energetic isosbestic points. An energetic isosbestic point corresponds to a critical value of the size parameter for which all members of the 6 or 7 e^{-} per atom series of compounds have nearly identical total electronic energy. Just as in spectroscopy, where the existence of such isosbestic points is the hallmark of two compounds present in the mixture, an energy isosbestic point^{[1.2]} implies there are just two separate energy curves. For both series it is found that the total electronic energy can be viewed as the weighted sum of a purely covalent term and a purely ionic term. Two semi-quantitative models are proposed to account for these two separate energies, In the first model the total energy is viewed as the sum of the elemental structural energy plus an ionic energy based on the Born-Mayer ionic model, In the second model one considers within the confines of μ_{2}-Hückel theory the evolution of the total electronic energy as the Coulombic H_{ii} integrals change in value.

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

Pages (from-to) | 2652-2662 |

Number of pages | 11 |

Journal | Chemistry - A European Journal |

Volume | 7 |

Issue number | 12 |

DOIs | |

Publication status | Published - Jun 18 2001 |

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### Keywords

- Ab initio calculations
- Alloys
- Bond theory
- Electronic structure
- Solid-state structures

### ASJC Scopus subject areas

- Chemistry(all)

### Cite this

*Chemistry - A European Journal*,

*7*(12), 2652-2662. https://doi.org/10.1002/1521-3765(20010618)7:12<2652::AID-CHEM26520>3.0.CO;2-1

**Energy isosbestic points in third-row transition metal alloys.** / Todorov, Eugeny; Evans, Matthew; Lee, Stephen; Rousseau, Roger.

Research output: Contribution to journal › Article

*Chemistry - A European Journal*, vol. 7, no. 12, pp. 2652-2662. https://doi.org/10.1002/1521-3765(20010618)7:12<2652::AID-CHEM26520>3.0.CO;2-1

}

TY - JOUR

T1 - Energy isosbestic points in third-row transition metal alloys

AU - Todorov, Eugeny

AU - Evans, Matthew

AU - Lee, Stephen

AU - Rousseau, Roger

PY - 2001/6/18

Y1 - 2001/6/18

N2 - The total electronic energies of the six electrons per atom (e- per atom) alloys W, TaRe, HfOs, and YIr and the seven electrons per atom alloys Re, WOs, TaIr, HfPt, and YAu have been calculated in the local density approximation of density functional theory. When one considers common alloy structures such as atomically ordered variants of the body-centered cubic, face-centered cubic, or hexagonally closest packed structures and plots the total electronic energy as a function of the unit cell parameter, one finds for both the six and seven electrons per atom series energetic isosbestic points. An energetic isosbestic point corresponds to a critical value of the size parameter for which all members of the 6 or 7 e- per atom series of compounds have nearly identical total electronic energy. Just as in spectroscopy, where the existence of such isosbestic points is the hallmark of two compounds present in the mixture, an energy isosbestic point[1.2] implies there are just two separate energy curves. For both series it is found that the total electronic energy can be viewed as the weighted sum of a purely covalent term and a purely ionic term. Two semi-quantitative models are proposed to account for these two separate energies, In the first model the total energy is viewed as the sum of the elemental structural energy plus an ionic energy based on the Born-Mayer ionic model, In the second model one considers within the confines of μ2-Hückel theory the evolution of the total electronic energy as the Coulombic Hii integrals change in value.

AB - The total electronic energies of the six electrons per atom (e- per atom) alloys W, TaRe, HfOs, and YIr and the seven electrons per atom alloys Re, WOs, TaIr, HfPt, and YAu have been calculated in the local density approximation of density functional theory. When one considers common alloy structures such as atomically ordered variants of the body-centered cubic, face-centered cubic, or hexagonally closest packed structures and plots the total electronic energy as a function of the unit cell parameter, one finds for both the six and seven electrons per atom series energetic isosbestic points. An energetic isosbestic point corresponds to a critical value of the size parameter for which all members of the 6 or 7 e- per atom series of compounds have nearly identical total electronic energy. Just as in spectroscopy, where the existence of such isosbestic points is the hallmark of two compounds present in the mixture, an energy isosbestic point[1.2] implies there are just two separate energy curves. For both series it is found that the total electronic energy can be viewed as the weighted sum of a purely covalent term and a purely ionic term. Two semi-quantitative models are proposed to account for these two separate energies, In the first model the total energy is viewed as the sum of the elemental structural energy plus an ionic energy based on the Born-Mayer ionic model, In the second model one considers within the confines of μ2-Hückel theory the evolution of the total electronic energy as the Coulombic Hii integrals change in value.

KW - Ab initio calculations

KW - Alloys

KW - Bond theory

KW - Electronic structure

KW - Solid-state structures

UR - http://www.scopus.com/inward/record.url?scp=0035907945&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035907945&partnerID=8YFLogxK

U2 - 10.1002/1521-3765(20010618)7:12<2652::AID-CHEM26520>3.0.CO;2-1

DO - 10.1002/1521-3765(20010618)7:12<2652::AID-CHEM26520>3.0.CO;2-1

M3 - Article

VL - 7

SP - 2652

EP - 2662

JO - Chemistry - A European Journal

JF - Chemistry - A European Journal

SN - 0947-6539

IS - 12

ER -