### Abstract

A theory of the g-factor of conduction electrons is developed which is valid for low symmetry and arbitrary strength of spin-orbit coupling. Application to bismuth shows that m≡ 2/g≃m _{0} for most orientations, where m _{0} is the effective mass entering the cyclotron frequency. Thus g is 260 when H is in the direction of smallest m _{0}. Further, the lifting of the spin degeneracy by the magnetic field introduces a factor cos τπm _{0}/m _{8} into the rth oscillatory term in the susceptibility. This explains the apparent phase shift of τπ observed in the de Haas-van Alphen oscillations of Bi.

Original language | English (US) |
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Pages (from-to) | 115-126 |

Number of pages | 12 |

Journal | Philosophical Magazine |

Volume | 5 |

Issue number | 50 |

DOIs | |

State | Published - Feb 1960 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Engineering(all)
- Physics and Astronomy(all)

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## Cite this

Cohen, M. H., & Blount, E. I. (1960). The g-factor and de haas-van alphen effect of electrons in bismuth.

*Philosophical Magazine*,*5*(50), 115-126. https://doi.org/10.1080/14786436008243294