Magnetic dipole transitions in crystals

Magnetic dipole transitions in crystals

“…However, if one considers the transition with | L| ≤ 6, then the transition amplitude can be determined by the contributions associated with the effective operator F 2 [6,19], which in an effective way reproduce the impact of the PV CF QV so P + PV so QV CF P inter-shell mechanism.…”

“…Using the double perturbation expansion for the wavefunctions that describe the states involved in the process, the amplitude of the transition can be written as follows [6] M = 0, ±1, 0 0 for J = 0 (15) no parity change (16) l = 0 (17)…”

“…But at the same time there is a lack in the literature of a systematic analysis devoted to this issue. Furthermore, the present work is inspired by Wybourne's proposal that the fourth-order contributions to the 0 → 0 transition amplitude are of magnetic dipole origin [6].…”

“…Recently, Smentek and Wybourne have formulated the relativistic theory of the f-f transitions based on the concept of the effectively relativistic effective operators [4,5] in which 0 ↔ 0 transitions are allowed. The second way of improving the theory of interest can be realized through the mechanism that was called by Wybourne "intensity borrowing" [6]. This concept can be understood in two ways.…”

“…Following Wybourne [6] the possibility of participation of the magnetic dipole contribution in the electric dipole transitions is considered. For this purpose, the description of the magnetic dipole transitions is improved within double perturbation approach by the inclusion of the perturbative effect of crystal field and spin-orbit interactions.…”