Quadratic Zeeman Effect of Donor Lines in Silicon. II. Comparison with Experiment

1972 ◽  
Vol 50 (18) ◽  
pp. 2186-2193 ◽  
Author(s):  
B. Pajot ◽  
F. Merlet ◽  
G. Taravella
Keyword(s):  
Zeeman Effect ◽  
Variational Calculation ◽  
Strong Interactions ◽  
Bohr Radius ◽  
Comparison With Experiment ◽  
Principal Axes ◽  
Phosphorus In Silicon ◽  
Quadratic Zeeman Effect ◽  
Photoexcitation Spectrum ◽  
The Magnetic Field

The Zeeman effect in the photoexcitation spectrum of phosphorus in silicon has been studied up to 64 kG in the Faraday configuration with the field parallel to the three principal axes of the crystal. In this work, we have observed a slight decrease of the transverse effective mass with the field and we found a fair agreement between theory and experiment for the 2p± and 3p± levels. Better agreement is obtained, however, if the variation of the effective Bohr radii with the magnetic field is taken into account. For the 2p0 and 3p0 levels, the variation of the effective Bohr radius [Formula: see text] alone cannot be observed experimentally in the Faraday configuration, but our results indicate a much more important decrease than for the p± levels and a variational calculation is necessary in this case. The shift of the 2p0 and 3p0 lines obeys roughly the n2(n2 − 1) relation, which should not be observed in the case of strong interactions with upper levels.

Quadratic Zeeman Effect of Donor Lines in Silicon and Germanium. I. Theory

1972 ◽  
Vol 50 (11) ◽  
pp. 1106-1113 ◽  
Author(s):  
B. Pajot ◽  
F. Merlet ◽  
G. Taravella ◽  
Ph. Arcas
Keyword(s):  
Perturbation Method ◽  
Effective Mass ◽  
Zeeman Effect ◽  
Electron Effective Mass ◽  
Zeeman Shift ◽  
Phosphorus In Silicon ◽  
Shallow Impurities ◽  
Silicon And Germanium ◽  
Quadratic Zeeman Effect ◽  
Theory Framework

Calculation of the quadratic Zeeman shift of donor lines of silicon and germanium has been undertaken in the effective mass theory framework. The energies are obtained by the perturbation method up to second order and a very small interaction between two sublevels m = 1 and m = −1 is found theoretically. The Zeeman patterns (phosphorus in silicon) for different configurations show crossing or noncrossing of the levels and sublevels, depending upon the chosen configuration. The results predict that for germanium, the p0 lines exhibit a splitting due to the anisotropic shift of these lines for some configurations. This theory can also be used for shallow impurities wherever the electron effective mass possesses ellipsoidal symmetry.

THE THEORY OF THE QUADRATIC ZEEMAN EFFECT

1970 ◽  
Vol 31 (C4) ◽  
pp. C4-71-C4-74 ◽  
Author(s):  
A. R. EDMONDS
Keyword(s):  
Zeeman Effect ◽  
Quadratic Zeeman Effect

Semiclassical mechanics of the quadratic Zeeman effect

1992 ◽  
Vol 45 (5) ◽  
pp. 3093-3103 ◽  
Author(s):  
Kristin D. Krantzman ◽  
John A. Milligan ◽  
David Farrelly
Keyword(s):  
Zeeman Effect ◽  
Semiclassical Mechanics ◽  
Quadratic Zeeman Effect

scholarly journals The magnetic field in the dense photodissociation region of DR 21

2020 ◽  
Author(s):  
Atanu Koley ◽  
Nirupam Roy ◽  
Karl M Menten ◽  
Arshia M Jacob ◽  
Thushara G S Pillai ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Field Strength ◽  
Zeeman Effect ◽  
Zeeman Splitting ◽  
Weak Field ◽  
Field Energy ◽  
Evolutionary Stage ◽  
Maser Emission ◽  
The Magnetic Field ◽  
Photodissociation Region

Abstract Measuring interstellar magnetic fields is extremely important for understanding their role in different evolutionary stages of interstellar clouds and of star formation. However, detecting the weak field is observationally challenging. We present measurements of the Zeeman effect in the 1665 and 1667 MHz (18 cm) lines of the hydroxyl radical (OH) lines toward the dense photodissociation region (PDR) associated with the compact H ii region DR 21 (Main). From the OH 18 cm absorption, observed with the Karl G. Jansky Very Large Array, we find that the line of sight magnetic field in this region is ∼0.13 mG. The same transitions in maser emission toward the neighbouring DR 21(OH) and W 75S-FR1 regions also exhibit the Zeeman splitting. Along with the OH data, we use [C ii] 158 μm line and hydrogen radio recombination line data to constrain the physical conditions and the kinematics of the region. We find the OH column density to be ∼3.6 × 1016(Tex/25 K) cm−2, and that the 1665 and 1667 MHz absorption lines are originating from the gas where OH and C+ are co-existing in the PDR. Under reasonable assumptions, we find the measured magnetic field strength for the PDR to be lower than the value expected from the commonly discussed density–magnetic field relation while the field strength values estimated from the maser emission are roughly consistent with the same. Finally, we compare the magnetic field energy density with the overall energetics of DR 21’s PDR and find that, in its current evolutionary stage, the magnetic field is not dynamically important.

The Quadratic Zeeman Effect

1939 ◽  
Vol 55 (1) ◽  
pp. 52-58 ◽  
Author(s):  
F. A. Jenkins ◽  
E. Segrè
Keyword(s):  
Zeeman Effect ◽  
Quadratic Zeeman Effect

Quadratic Zeeman effect and l-mixing in high Rydberg states of Sr

1984 ◽  
Vol 17 (14) ◽  
pp. L475-L479 ◽  
Author(s):  
R Beigang ◽  
W Makat ◽  
E Matthias ◽  
A Timmermann ◽  
P J West
Keyword(s):  
Zeeman Effect ◽  
Rydberg States ◽  
Quadratic Zeeman Effect

scholarly journals Observability of the Magnetic Field in Molecular Clouds

1990 ◽  
Vol 140 ◽  
pp. 304-304
Author(s):  
N. Bel ◽  
B. Leroy
Keyword(s):  
Magnetic Field ◽  
Molecular Clouds ◽  
Diatomic Molecules ◽  
Zeeman Effect ◽  
Interstellar Clouds ◽  
The Magnetic Field

We have done detailed calculations of the Zeeman effect in the dozen diatomic molecules identified in interstellar clouds.

Zum Rotations-Zeeman-Effekt in Dimethylketen / Molecular Zeeman Effect and the Determination of the Molecular g Values, Paramagnetic Susceptibilities, and Molecular Quadrupole Moments in Dimethylketene

1972 ◽  
Vol 27 (4) ◽  
pp. 597-600 ◽  
Author(s):  
D. Sutter ◽  
L. Charpentier ◽  
H. Dreizler
Keyword(s):  
Magnetic Field ◽  
Zeeman Effect ◽  
Microwave Spectrum ◽  
Quadrupole Moments ◽  
Selection Rules ◽  
Rotational Transitions ◽  
The Magnetic Field

Abstract The rotational Zeeman-Effect in the microwave spectrum of dimethylketene was investigated at fieldstrengths close to 22 kG. Only ΔJ= 1 rotational transitions with ΔM = ± 1 selection rules did show appreciable splittings due to the magnetic field. From the splittings the diagonal elements of the molecular gr-tensor were determined to be: gaa = ∓ 0.020(3) ; gbb = ∓ 0.0165(8) ; gcc= + 0.0126(5). (Only the relative signs of the g-values are obtained from the experiment). The susceptibility anisotropics were found to be close to zero.

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