Abstract
The screening of the Coulomb potential in a polar fluid will be described and applied to Mx(NH3)1-x solutions. These undergo a metal to non-metal transition which is made evident in different physical properties near x = xc = 0.04.
Dedicated to Carol and Prof. M J Sienko, QEPD
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Abbreviations
- MAS:
-
Metal Ammonia Solutions
- XAS:
-
X-Ray Absorption Spectroscopy
- XANES:
-
X-Ray Near Edge Absorption Spectroscopy
- V:
-
Valence of absorber
- Z:
-
Atomic number of absorber
- A:
-
Absorbance of x-rays by a given material
- Anm:
-
For nonmetals
- As :
-
For semimetals
- Am :
-
For metals
- Ag :
-
For materials with overlapping bands
- A0 :
-
For material near 0°K
- A1 :
-
First order approximation (neglecting (l-f)f ≪ 1 and/or dg ≈ 0) A1 = A - Anm Absorbance below the edge E0
- ν0 :
-
To the bottom of the conduction band
- νF :
-
To the Fermi level
- ν0 :
-
To the edge of the continuum of free states in non metals (E0= hν0) y = y(ν) = h(ν - ν0 0)2EFu-1 : dimensionless parameter which measures the photon energy from the bottom of the conduction band in units of a resonance line half width at half height (ħ/Tν = 2EF/u).
- N(ν):
-
Density of states near E = hν above the 1s level of the absorber
- Dν :
-
Relative intensity of resonance line near E = hν
- 2Eg :
-
Activation energy in simple semimetal
- gc :
-
Mott ratio g measured near the mobility edge
References
Acrivos J V, Hathaway K, Robertson A C, Thompson A and Klein M P 1980, J. Phys. Chem., 84, 1206.
Acrivos J V, Hathaway K, Robertson A, Thompson A and Klein M P, J. Phys. Chem., 14, L557.
Acrivos J V and Mott N F, 1971 Phil. Mag., 24, 19.
Acrivos J V and Pitzer K S, J. Phys. Chem., 66, 1693 (1962).
Acrivos J V, Robertson A S and Klein M P, “Ionic Liquids, Molten Salts and Polyelectrolytes”, Benneman Ed K, Brouers F and Quitman D, Springer-Verlag, 1982, p. 124.
Bourdillon A J, Pettifer R F and Marseglia E A, 1979, J. Phys. C: Solid State Phys., 12, 3889.
Cauchois Y and Mott N F, 1949, Phil. Mag., 40, 1250.
Chieux P, Damay P, Dupuy J and J F, J. Phys. Chem., ibid, 84, 1211–1215 (1980).
Cramer S P, Eccles T K, Kutzler F, Hodgson K O and Doniach S, 1976, J. Am. Chem. Soc., 98, 8059.
Fano U, 1961, Phys. Rev., 124. 1866.
Garroway A N and Cotts R M, “Electrons in Fluids”, Jortner J and Kestner N R, ed, Springer-Verlag, NY (1973), p. 213.
Gradshteyn I S and Ryzhik I M, 1965, Tables of Integrals (New York: Academic Press).
Hahne S and Schindewolf U, 1975, J. Phys. Chem., 79, 2922.
Hartree D R, Kronig R de L and Petersen H, 1934, Physica 1, 895.
Kirby J A, Ph D Thesis, 1980, UC Berkeley.
Kronig R de L, 1932, Z. Phys., 75, 191, 468.
Landau L D and Lifshitz E M, 1977, “Quantum Mechanics”, Pengamom, 3rd edition.
McConnell H M and Holm C H, J. Phys. Chem., 26, 1517 (1957)
Lelieur J P, “Electrons in Fluids”, Jortner R and Kestner, ed, Springen-Verlag (1973), p. 305.
Moore C E, 1952, “Atomic Energy Levels”: NBS Circular 467.
Mott N F, 1974, “Metal-Insulator Transitions”, Cambridge University Press.
Parrat L G, 1939, Phys. Rev., 56, 295.
Ritchmyer F K, Barnes S W and Ramberg E, 1934, Phys. Rev., 46, 843.
Ruderman M A and Kittel C, Phys. Rev., 96, 99 (1954).
Schindewolf U and Werner M, J.Phys. Chem., 84, 1123–1127 (1980).
Sharp A C, Davis R L, Van der Hoff J A, Le Master E W and Thompson J C, 1971, Phys. Rev., 4A, 414.
Shulman R G, Yafet Y, Eisenberger P and Blumberg W E, 1976, Proc. Nat. Acad. Sci., USA, 73, 1384.
Steinberg I V, Voronel A, Linsky D and Schindewolf U, Phys. Rev. Lett., 45, 1338 (1980).
Stern E A, Sayers D E and Lytle F W, 1975, Phys. Rev., 15B, 4836.
Thompson J C, 1976, “Electrons in Liquid Ammonia” (Oxford: Clarendon).
Thompson J C, 1977, “Solutions Metal Ammoniac” ed G Lepoutre and M J Sienko, p.307.
Thompson J C, “Metal Ammonia Solutions”, Lepoutre and Sienko, ed. (1964), Benjamin, 306–313.
Thouless D J, “Quantum Mechanics of Many Body Systems”, 2nd ed. (1972).
Winter R, Schindewolf U and Voronel A, J. Phys. F, 11, L281 (1981).
Winter R and Schindewolf U, Ber. Bunsenges, Physik. Chem., 86, 1093, (1982).
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Acrivos, J.V. (1984). X-Ray Absorption Spectroscopy across the Metal to Non-Metal Transition. In: Acrivos, J.V., Mott, N.F., Yoffe, A.D. (eds) Physics and Chemistry of Electrons and Ions in Condensed Matter. NATO ASI Series, vol 130. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6440-2_30
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