### Abstract

The ESR Bloch equations are rederived within a model which allows for finite lattice spacing. It is found this causes the usual Bloch equations to be modified. The internal field as seen by the local moments is changed from H _{ext}+ lambda M_{e} to H_{ext}+ lambda M_{e}+ alpha M_{e} where alpha = lambda ^{2}( Sigma _{i not=j}F_{1}(R_{ij})- chi _{e}
^{0}) and where H_{ext} is the total external field, lambda is the molecular field constant, F_{1}(R) is the usual RKKY range function, chi _{e}
^{0} the static conduction electron susceptibility and R_{ij} is the distance between the sites i and j. The effect this change has upon various limits of physical interest is investigated, compared with the previous results and the experimental data for Mg-Gd is discussed. Finally, the effect of short range correlations in dilute alloys is discussed and a set of generalized Bloch equations are proposed to account for the effects of such correlations in systems which exhibit structured resonances.

Original language | English (US) |
---|---|

Article number | 024 |

Pages (from-to) | 1535-1551 |

Number of pages | 17 |

Journal | Journal of Physics F: Metal Physics |

Volume | 4 |

Issue number | 9 |

DOIs | |

State | Published - 1974 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)
- Metals and Alloys

### Cite this

**The effect that finite lattice spacing has upon the ESR Bloch equations.** / Barnes, Stewart.

Research output: Contribution to journal › Article

*Journal of Physics F: Metal Physics*, vol. 4, no. 9, 024, pp. 1535-1551. https://doi.org/10.1088/0305-4608/4/9/024

}

TY - JOUR

T1 - The effect that finite lattice spacing has upon the ESR Bloch equations

AU - Barnes, Stewart

PY - 1974

Y1 - 1974

N2 - The ESR Bloch equations are rederived within a model which allows for finite lattice spacing. It is found this causes the usual Bloch equations to be modified. The internal field as seen by the local moments is changed from H ext+ lambda Me to Hext+ lambda Me+ alpha Me where alpha = lambda 2( Sigma i not=jF1(Rij)- chi e 0) and where Hext is the total external field, lambda is the molecular field constant, F1(R) is the usual RKKY range function, chi e 0 the static conduction electron susceptibility and Rij is the distance between the sites i and j. The effect this change has upon various limits of physical interest is investigated, compared with the previous results and the experimental data for Mg-Gd is discussed. Finally, the effect of short range correlations in dilute alloys is discussed and a set of generalized Bloch equations are proposed to account for the effects of such correlations in systems which exhibit structured resonances.

AB - The ESR Bloch equations are rederived within a model which allows for finite lattice spacing. It is found this causes the usual Bloch equations to be modified. The internal field as seen by the local moments is changed from H ext+ lambda Me to Hext+ lambda Me+ alpha Me where alpha = lambda 2( Sigma i not=jF1(Rij)- chi e 0) and where Hext is the total external field, lambda is the molecular field constant, F1(R) is the usual RKKY range function, chi e 0 the static conduction electron susceptibility and Rij is the distance between the sites i and j. The effect this change has upon various limits of physical interest is investigated, compared with the previous results and the experimental data for Mg-Gd is discussed. Finally, the effect of short range correlations in dilute alloys is discussed and a set of generalized Bloch equations are proposed to account for the effects of such correlations in systems which exhibit structured resonances.

UR - http://www.scopus.com/inward/record.url?scp=0040487033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040487033&partnerID=8YFLogxK

U2 - 10.1088/0305-4608/4/9/024

DO - 10.1088/0305-4608/4/9/024

M3 - Article

AN - SCOPUS:0040487033

VL - 4

SP - 1535

EP - 1551

JO - Journal of Physics F: Metal Physics

JF - Journal of Physics F: Metal Physics

SN - 0305-4608

IS - 9

M1 - 024

ER -