### Abstract

The finite-size scaling method is used to calculate the critical parameters for the lithium isoelectronic series. The critical nuclear charge, which is the minimum charge necessary to bind three electrons, for the ground state was found to be Z_{c} = 2. Results show that the analytical behavior of the energy as a function of the nuclear charge for lithium is completely different from that of helium. Analogy with standard phase transitions show that for helium, the transition from a bound state to a continuum is "first order," while lithium exhibits a "second order phase transition.".

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

Pages (from-to) | 5293-5296 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 80 |

Issue number | 24 |

Publication status | Published - 1 Dec 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*80*(24), 5293-5296.

**Electronic structure critical parameters for the lithium isoelectronic series.** / Serra, Pablo; Neirotti, Juan Pablo; Kais, Sabre.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 80, no. 24, pp. 5293-5296.

}

TY - JOUR

T1 - Electronic structure critical parameters for the lithium isoelectronic series

AU - Serra, Pablo

AU - Neirotti, Juan Pablo

AU - Kais, Sabre

PY - 1998/12/1

Y1 - 1998/12/1

N2 - The finite-size scaling method is used to calculate the critical parameters for the lithium isoelectronic series. The critical nuclear charge, which is the minimum charge necessary to bind three electrons, for the ground state was found to be Zc = 2. Results show that the analytical behavior of the energy as a function of the nuclear charge for lithium is completely different from that of helium. Analogy with standard phase transitions show that for helium, the transition from a bound state to a continuum is "first order," while lithium exhibits a "second order phase transition.".

AB - The finite-size scaling method is used to calculate the critical parameters for the lithium isoelectronic series. The critical nuclear charge, which is the minimum charge necessary to bind three electrons, for the ground state was found to be Zc = 2. Results show that the analytical behavior of the energy as a function of the nuclear charge for lithium is completely different from that of helium. Analogy with standard phase transitions show that for helium, the transition from a bound state to a continuum is "first order," while lithium exhibits a "second order phase transition.".

UR - http://www.scopus.com/inward/record.url?scp=0001419331&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001419331&partnerID=8YFLogxK

M3 - Article

VL - 80

SP - 5293

EP - 5296

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 24

ER -