Plasmons in Non-Diagram X-ray Spectra of Scandium and Titanium Compounds
DOI:
https://doi.org/10.32628/IJSRST2310130Keywords:
Bulk Plasmon, Surface Plasmon, Plasmon satellites, Critical Wave -Vector, Plasmon Field.Abstract
In recent years the whole area of high-energy excitations in solids has flourished well, both experimentally and theoretically. Their spectroscopy and theoretical understanding have important implications for the knowledge of the structure and properties of materials, both in the bulk and near the surface. The theory used in the present work relates to the origin of Non-diagram X-ray spectra in various excitation processes where a deep, as well as the surface electron, is excited. By extending the Bohm-Pines Hamiltonian and utilizing many-body theory, the specific contributions of intrinsic as well as extrinsic "Plasmon-coupling" processes have been obtained theoretically in terms of "Non-diagram parent diagram X-ray line yield ratios" for the high energy plasmon satellite profiles in the X-ray line spectra of 2P main line in compounds of Scandium and Titanium. It has been shown that the high energy X-ray satellite line shapes of Scandium and Titanium compounds observed by de Boer et al. are due to the Plasmon Oscillations. The theoretically calculated results have been probed by comparing them to the relative satellite yields obtained by de Boer et al. and are found to agree well with their experimentally observed values than their calculated values.
References
- D. Pines, Elementary Excitations in Solids; CRC Press: New York, NY, USA, 1963.
- J. M. Ziman, Principles of the Theory of Solids; Cambridge University Press: Cambridge, UK, 1964, 405p.
- H. Rather, Surface plasma oscillations and their applications (A Review), Phys. Thin Films, 1977, 12, 154.
- S. Hafner, Photoelectron Spectroscopy, Solid State Science Series, Vol.82, Springer-Verlag, 1995 (Chapter 3 and references there in).
- C. Biswas et al., Phys. Rev. B67, (2003) 165416.
- A.M. Bradshaw et al., J Phys. C. Solid State Phys. 7, (1974) 4503.
- D.C. Langreth, in Collective Properties of Physical Systems, edited by B. Lundquist and S. Lundquist, Academic Press, New York (1974).
- O.K. Harsh, J. Phys. Chem. Solids 58, N9, (1997) 1433.
- J.J. Chang and D.C. Langreth, Phys. Rev. B8, (1973) 4638.
- W.J. Pardee et al., Phys. Rev. B11, (1975) 3614.
- S.P. Singh et al., Indian J. Phys. 85, N12, (2011) 1897.
- Alok Mishra et. al., IJERA2, N2, (2012) 115-118.
- M. Guzzo et al., Eur. Phys. J.B, (2012) 85:326.
- L.K. Dwivedi, in Active and Smart Materials, edited by D.K. Dwivedi and B.K. Pandey, Excel India Press, New Delhi, (2012) 151-153.
- L.K. Dwivedi, in Materials Science and Technology, edited by D.K. Dwivedi and B.K. Pandey, Victorious Publishers, Delhi, (2014) 138-140.
- L.K. Dwivedi, in Proceedings of National Conference on “Recent Advances in Chemical and Materials Science (NCRACMS-15)”, MMMUT, Gorakhpur, U.P., (23-24 Feb., 2015) 64-65.
- L.K. Dwivedi, Education Times (UGC No. 62976), Vol. IX, No. 11, (2018) 114-116.
- L.K. Dwivedi, Edu World (UGC No.-62981), Vol. XII, No. 21, (2018) 81-85.
- L.K. Dwivedi, Education Times (UGC No. 62976), Vol. IX, No.13, (2018) 9-11.
- L.K. Dwivedi, Education Times (UGC No. 64512), Vol. IX, No.11, (2018) 13-17.
- L.K. Dwivedi and Vipin Sharma, in Proceedings of International Conference on “Materials Science and Spectroscopy (ICMSS-21)”, MUIT, Lucknow, U.P., (Sept. 22-24., 2021) 77.
- K.S. Srivastava et.al. Ind. Jour. of pure and Applied Phys. 34 (1995) 190.
- L.G. Parratt, Rev. Mod. Phy. 31, (1959) 616.
- D.K.G. de Boer et.al., Phy. Rev. B20, (1984) 4401.
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