On the Study of Racah Parameter B for Nickel (II) and Cobalt (II) Compounds
Abstract - 180


Racah parameter, Metallic composites, Electronic transition.

How to Cite

Mohamad M.E. Shakdofa, Kamal A. Aly, Pankaj Sharma, Gomaa A. M. Ali. On the Study of Racah Parameter B for Nickel (II) and Cobalt (II) Compounds. J. Adv. Therm. Sci. Res. [Internet]. 2017 Dec. 31 [cited 2023 Oct. 4];4(1):31-3. Available from: https://www.avantipublishers.com/index.php/jatsr/article/view/863


 The ligand field strength (Dq) and interelectronic repulsion (B) have been calculated for nickel (II) and cobalt (II) compounds by Underhill and Billing [1] based on v2 and v3 values. They solved the quadratic equation 340(Dq2-18(v2+v3) Dq+ v2 v3=0 in Dq for octahedral. Then, the B value was determined using the equation v2+ v3−30Dq−15B=0. But, the first equation has real and imaginary solutions and it’s difficult to determine the imaginary one. In addition, in many cases there is no solution of this equation as well as in the case of CoO (d7 oct.). For octahedral, the above two equations can be considered as a system of two equations with two unknowns which can be solved if we have v2 and v3 values and vice versa. Similarly, for tetrahedral, the former two equations also can be solved for Dq and B. Using Newton–Raphson iterations, Dq and B values are exactly determined for octahedral and tetrahedral systems. The obtained values of Dq and B were compared with those previously reported.


Underhill AE and Billing DE. Calculations of the Racah Parameter B for Nickel (II) and Cobalt (II) Compounds, Nature 1966; 210: 834-835. https://doi.org/10.1038/210834a0

Lever ABP and Nelson SM. An Analysis of the Electronic Spectra of Bisarninecobalt Halides. The Effect of Low Symmetry and of Steric Hindrance. Chem Commun 1965; 9: 168-169. https://doi.org/10.1039/c19650000168

Lever ABP, Lewis J and Nyholm RS. A Spectroscopic Xtudy of Some Pyraxine-NicEel(II) Complexes. J Chem Soc 1964; 0: 4761-4768. https://doi.org/10.1039/JR9640004761

Goodgame DML, Goodgame M and Weeks MJ. Spectral and magnetic studies of some polymeric complexes of nickel halides with heterocyclic ligands. J Chem Soc 1964; 0(0): 5194-5199. https://doi.org/10.1039/jr9640005194

Lever ABP, Nelson SM and Shepherd TM. Calculations of the Racah Parameter B for Nickel (II) and Cobalt (II) Compounds. Inorg Chem 1965; 4: 810-813. https://doi.org/10.1021/ic50028a008

Cotton FA, Goodgame DML and Goodgame M. The Electronic Structures of Tetrahedral Cobalt (11) Complexes. J Amer Chem Soc 1961; 83(23): 4960-4699. https://doi.org/10.1021/ja01484a002

Jorgensen CK. Absorption Spectra and Chemical Bonding in Complexes 1962; London: Pergamon Press.

Aly KA. Optical constants of quaternary Ge-As-Te-In amorphous thin films evaluated from their reflectance spectra, Philosophical Magazine 2009; 89(12): 1063-1079. https://doi.org/10.1080/14786430902870542

Allgower E and Georg K. Numerical continuation methods: an introduction. Springer Series in Computational Mathematics. 1990, New York: Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-61257-2

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