Perturbation corrections to thegtensor
- 1 January 1968
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 14 (5) , 425-431
- https://doi.org/10.1080/00268976800100531
Abstract
The Dirac equation for the electron is solved to terms that are second order in the applied field by the application of the Foldy-Wouthuysen transformation. In the process this generates all the terms that are necessary to ensure that the g tensor is gauge-invariant to the third order. An explicit expression is given for the third-order g tensor and the result is compared with the formula given by Tippins [1]. A term that reflects the velocity dependence by the Bohr magneton gives a significant contribution especially for atoms of high atomic number. This same term is additional to the extra term obtained by Stone [2] and is of the same magnitude: it must be invoked to account for the g factor of atomic hydrogen.Keywords
This publication has 7 references indexed in Scilit:
- Calculation of Second-OrderShifts of Paramagnetic Ions in CrystalsPhysical Review B, 1967
- An investigation of the Ni+ion in irradiated LiF and NaFProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1964
- g tensors of aromatic hydrocarbonsMolecular Physics, 1964
- gfactors of aromatic free radicalsMolecular Physics, 1963
- Gauge invariance of the g tensorProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic LimitPhysical Review B, 1950
- The Magnetic Moment of the ElectronNature, 1928