Crystalline electric fields in hydrated Co 2+ salts

1961 ◽  
Vol 261 (1304) ◽  
pp. 43-52 ◽  
Keyword(s):  
Magnetic Susceptibility ◽  
Electric Fields ◽  
Coupling Coefficient ◽  
Experimental Results ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Anisotropic Field ◽  
Free Ion ◽  
Crystalline Electric Fields ◽  
Field Separation

The theoretical expressions for the magnetic susceptibility and anisotropy of Co 2+ ion in hexahydrated salts have been derived on the basis of Abragam & Pryce’s theory and compared with the experimental results for three Tutton salts. Agreement with experiment is very good provided it is assumed that for each salt the value of the asymmetric field separation A varies with temperature. It appears that the magnitude of A depends more upon the alkali radicals than upon the acid radicals. The value of the spin-orbit coupling coefficient ζ in Co 2+ salts is practically the same as the free ion value, indicating very little overlap between the 3 d -Co 2+ and s . and p-O 2- charge clouds. The cubic and anisotropic field parameters G, H and I are different for divalent Co 2+ and trivalent V 3+ , as is to be expected.

On the magnetic anisotropy and susceptibility of Fe(NH 4 SO 4 ) 2 , 6H 2 O

1961 ◽  
Vol 261 (1305) ◽  
pp. 207-214 ◽  
Keyword(s):  
Thermal Expansion ◽  
Magnetic Anisotropy ◽  
Crystal Lattice ◽  
Crystal Field ◽  
Coupling Coefficient ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Anisotropic Part ◽  
Free Ion

The theory of magnetic anisotropy and susceptibility of Fe 2+ in Tutton salts has been worked out on the basis of Abragam & Pryce’s method. It is found that the anisotropic part of the crystal field changes with temperature owing to the thermal expansion of the crystal lattice. The spin-orbit coupling coefficient has to be decreased by ~ 20 % from its free ion value of - 103 cm -1 which indicates some amount of overlap between the 3 d -Fe 2+ and 8 - and p -O 2- charge clouds. The agreement of the theoretical values with the experiment is good within the limitations of the approximations involved.

Magnetic Susceptibilities of 2T2 Ions. Part 1

1972 ◽  
Vol 50 (10) ◽  
pp. 1468-1471 ◽  
Author(s):  
Alan D. Westland
Keyword(s):  
Magnetic Susceptibility ◽  
Excited State ◽  
Reduction Factor ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Coupling Constant ◽  
Magnetic Susceptibilities

An expression for the magnetic susceptibility of octahedral d1 complexes is derived exactly in terms of an orbital reduction factor k taking into account the presence of the formal 2E excited state. Sample calculations show that the improved expression gives results for susceptibility which are lower at times by several percent from those given by previous expressions. The results given by Figgis using Kotani's method are adequately precise when the spin–orbit coupling constant is no larger than ~0.1 Dq.

MICROMAGNETISM INDUCED BY THE UNPAIRED ELECTRONS IN InSb SINGLE CRYSTAL

2013 ◽  
Vol 27 (27) ◽  
pp. 1350193
Author(s):  
MIN GE ◽  
SHUN TAN ◽  
LI PI ◽  
YUHENG ZHANG
Keyword(s):  
Single Crystal ◽  
Experimental Results ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Band Theory ◽  
Metallic Behavior ◽  
Conduction Electrons ◽  
Unpaired Electrons ◽  
Ferromagnetic Ordering ◽  
Strong Spin

In this paper, our experimental results demonstrate that the micromagnetism of InSb is determined by J (where J = L+S) instead of S of unpaired electrons due to the strong spin–orbit coupling. The results of macromagnetism show that the magnetism is diamagnetic, which comes from the Lamor moment of localized electrons and Landau diamagnetic moment of conduction electrons. Below 160 K, ferromagnetic ordering of J, which is induced by the interaction between J, also promotes the appearance of metallic behavior which is different from the well-known band theory.

Photoelectron spectra and electronic structure of diatomic alkali halides

1974 ◽  
Vol 341 (1625) ◽  
pp. 147-161 ◽  
Keyword(s):  
Coupling Coefficient ◽  
Alkali Halides ◽  
Orbit Coupling ◽  
Photoelectron Spectra ◽  
Ionic Character ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Ionic Model ◽  
Halogen Atoms ◽  
A Value

The He I photoelectron spectra of the chlorides, bromides and iodides of Na, K, Rb and Cs have been recorded in the vapour state by a molecular beam technique. The spectra exhibit features which have been interpreted on the basis of a completely ionic model in keeping with the treatments usually applied to ionic solids. To explain structure in the spectra of the lighter molecules it has been necessary to discuss polarization of the halogen atoms by the alkali metal ions. For the heavier molecules such as KI, RbI and Csl the spectra of the monomers consist of two fairly broad bands corresponding to ionization of the X­­­­ˉmoiety to its 2 P 3/2 and 2 P ½ states. These have a 2/1 intensity ratio and a separation equal to 3/2 times the appropriate spin-orbit coupling coefficient. In the case of NaI the 2 P 3/2 state is split by the strong electrostatic field of the Na + ion into states possessing 2 ∏ 3/2 and 2 ∏ ½ character. This is accompanied by a shift of the 2 P ½ state to higher energies as it gradually assumes 2 ∑ character. The result is an increase of the mean 2 P 3/2 – 2 P ½ separation to a value greater than that to be expected from spin-orbit coupling alone. This increase becomes more pronounced for the bromides and chlorides where the spin-orbit coupling coefficient is smaller. For NaCl the separation of the 2 P 3/2 and 2 P ½ bands shows clearly that the 2 P½ band possesses considerable 2 ∑ character. In terms of partial ionic character, increased polarization of the halogen atom is related to increased covalent character of the MX bond. The lighter molecules can therefore be said to be the least ionic in this description. The proportion of dimers to monomers observed in the spectra is found to fall as the molecules become more ionic, i. e. as the halogen atoms become less polarized.

scholarly journals Spin magnetic susceptibility of ferromagnetic silicene in the presence of Rashba spin-orbit coupling

AIP Advances ◽  
2017 ◽  
Vol 7 (3) ◽  
pp. 035211 ◽  
Author(s):  
Kavoos Mirabbaszadeh ◽  
Mohsen Yarmohammadi ◽  
Jabbar Khodadadi
Keyword(s):  
Magnetic Susceptibility ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Rashba Spin

The Quadrupole Moments of the Stable Nuclei of Sulphur and Chlorine

1986 ◽  
Vol 41 (1-2) ◽  
pp. 15-18 ◽  
Author(s):  
M. Elbel ◽  
R. Quad
Keyword(s):  
Hyperfine Structure ◽  
Laser Spectroscopy ◽  
Coupling Constants ◽  
Orbit Coupling ◽  
Collinear Laser Spectroscopy ◽  
Spin Orbit Coupling ◽  
Quadrupole Moments ◽  
Spin Orbit ◽  
Hyperfine Constants ◽  
Free Ion

By means of collinear laser spectroscopy the hyperfine structure of two transitions in the ionic spectra of sulphur and chlorine has been measured. The hyperfine constants of the involved levels have been determined. From them and by means of the spin-orbit coupling constants of the involved p-electrons the quadrupole moments of 33S, 35Cl and 37Cl could be determined anew. The importance of the new values is seen in the fact that in the case of sulphur they result from measurements at the free ion or, in the case of chlorine, that they result from an electron other than 3 p.

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