Abstract
The paper is directed towards the materials scientist who wishes to employ published values of diffusion coefficients in his investigations. A brief review of self-diffusion behaviour and the likely inaccuracies of the various techniques used in the measurement of diffusion is followed by a selected bibliography and tabulation of coefficients for oxides.
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General References
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Preliminary work inR. Haul, andD. Just “Measurement of Diffusion in Oxide Crystals by Isotopic Exchange with Gaseous Oxygen” (in German).Naturwiss. 45 (1958) 435;Z. Elektrochem. 62 (1958) 1124.
R. Haul andD. Just, “Disorder and Oxygen Transport in Cadmium Oxide”.J. Appl. Phys. 33 (1962) 487.
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D. V. Ignatov, I. N. Belokurova, andI. N. Belganin, “An Investigation of the Diffusion Processes of Iron and Chromium in the Oxides of α-Al2O3, α-Cr2O3, NiCr2O4, and NiAl2O4” (in Russian). The Use of Radioactive and Stable Isotopes and Radiation in the National Economy and in Science, Conference Proceedings (USSR, 1958) p. 326 (in Russian); see also US Atomic Energy Commission Report, NP-tr-448 (1958) p. 256;Nuclear Sci. Abs. 14 1935i.
W. C. Hagel andA. U. Seybolt, “Cation Diffusion in Cr2O3”.J. Electrochem. Soc. 108 (1961) 1146.
I. M. Fedorchenko andY. B. Ermolovich, “Diffusion of Chromium Through its Oxide” (in Russian).Ukrain. Chim. Zhur. 26 (1960) 429;Chem. Abs. 55 7219b.
L. C. Walters andR. E. Grace, “Self-Diffusion of Chromium in Single Crystals of Cr2O3”.J. Appl. Phys. 36 (1965) 2331;J. Electrochem. Soc. 110 (1963) 192cabs. 194.
W. C. Hagel, “Anion Diffusion in α-Cr2O3”.J. Amer. Ceram. Soc. 48 (1965) 70. Preliminary work in “Factors Controlling the High Temperature Oxidation of Chromium”.Trans. Amer. Soc. Metals 56 (1963) 583.
I. M. Fedorchenko andY. B. Ermolovich,Ukrain Khim. Zhur. 26 (1960) 429 (in Russian).
L. C. Walters andR. E. Grace, “Self-Diffusion of Cr51 in Single Crystals of Cr2O3”.J. Appl. Phys. 36 (1965) 2331.
W. C. Hagel, P. J. Jorgensen andD. S. Tomalin, “Initial Sintering in Alpha Cr2O3”.J. Amer. Ceram. Soc. 49 (1966) 23.
R. E. Carter andF. D. Richardson, “An Examination of the Decrease-of-Surface-Activity Method of Measuring Self-Diffusion Coefficients in Wüstite and Cobaltous Oxide”.N.Y. J. Metals (Trans. AIME 200) 6 (1954) 1244.
J. B. Holt, “Oxygen Diffusion in CoO as Measured by Proton Activation of Oxygen-18”.Proc. Brit. Ceram. Soc. 9 (1967) in press.
B. A. Thompson, PhD thesis, Rensselaer Polytechnique Institute (1962).
J. B. Price andJ. B. Wagner Jr, “Determination of the Chemical Diffusion Coefficients in Single Crystals of CoO and NiO”.Z. phys. Chem. 49 (1966) 257.
G. W. Castellan andJ. W. Moore, “Diffusion of Radioactive Copper During Oxidation of Copper Foil”.J. Chem. Phys. 17 (1949) 41.
W. J. Moore andB. Selikson, “The Diffusion of Copper in Cuprous Oxide”.Ibid 19 (1951) 1539; see also an error corrected inibid 20 (1952) 927.
W. J. Moore, Y. Ebisuzaki, andJ. A. Sluss, “Exchange and Diffusion of Oxygen in Crystalline Cuprous Oxide”.J. Phys. Chem. 62 (1958) 1438; or seeW. J. Moore, J. J. Lander, S. R. Logan, M. O'Keefe, J. S. Choi, Y. Ebisuzaki, S. Brown, andD. Mitchell, “Physical Chemistry of the Solid State”. US Atomic Energy Commission Progress Report, TID-11020 (October, 1960).
W. J. Moore, “Parabolic Rate Constants and Diffusion Mechanisms in Oxides and Sulphides”.Z. Elektrochem. 63 (1959) 794.
J. A. Sluss, “Aspects of Oxygen Movement in Cuprous Oxide”. Thesis (June, 1962);Diss. Abs. 23 (1962) 1947.
Y. Ebisuzaki, “Solid State Studies on Cuprous Oxide Preparation in Single Crystals Oxygen Diffusion, Optical Properties”.Diss. Abs. 23 (1963) 2712.
M. F. Berard andD. R. Wilder, “Self-Diffusion of Oxygen in Y2O3 and Er2O3”.J. Amer. Ceram. Soc. 50 (1967) 113.
V. Garino-Canina, “Diffusion of Oxygen in Vitreous Germanium Oxide” (in French).Compt. rend. 248 (1959) 1319.
Idem, “Optical Studies of the Oxygen Diffusion in Non-Stoichiometric Vitreous Germanium Dioxide” (in French).Ibid,250 (1960) 1815.
T. Tokuda andW. D. Kingery, “Rule of Vaporization from the Surface of Molten Germanium Dioxide”.Bull. Chem. Soc. Japan 37 (1964) 589.
P. Kofstad andD. J. Ruzicka, “On the Defect Structure of ZrO2 and HfO2”.J. Electrochem. Soc. 110 (1963) 181.
A. W. Smith, F. W. Meszaros, andC. D. Amata, “Permeability of Zirconia, Hafnia, and Thoria to Oxygen”.J. Amer. Ceram. Soc. 49 (1966) 240.
K. Itagaki, “Self-Diffusion in Single Crystal Ice”.J. Phys. Soc. Japan. 21 (1967) 427.
W. Kuhn andM. Thurkauf, “Isotopeutrennung bein Gefrieren von Wasser und Diffusionskonstanten von D und O18 im Eis” (in German).Helv. Chim. Acta 15 (1958) 938.
O. Dengel andN. Riehl, “Diffusion von Protonen (Tritonen) in Eiskristallen” (in German).Phys. Kondens. Materie. 1 (1963) 191.
P. Delibaltas, O. Dengel, D. Helmreich, N. Riehl, andH. Simon, “Diffusion of O18 in Single Ice Crystals (in German),ibid 5 (1966) 166.
K. Itagaki, “Self-diffusion in Single-Crystal Ice”.J. Phys. Soc. Japan 19 (1964) 1081.
H. Blicks, O. Dengel, andN. Riehl, “Diffusion von Protonen (Tritonen) in reiner und dotieren Eis Einkristallen”.Phys. Kondens Materie. 4 (1966) 375.
O. Dengel, E. Jakobs, andN. Riehl, “Diffusion von Tritonen in NH4F dotieren Eis Einkristallen” (in German).Ibid 5 (1966) 58.
R. Lindner, “Diffusion of Radioactive Iron in Iron (III) Oxide and Zinc-Iron Spinel” (in German).Arkiv Kemi 4 (1952) 381.
L. Himmel, N. F. Mehl, andC. E. Birchenall, “Self-Diffusion of Iron in Iron Oxides and the Wagner Theory of Oxidation”.N. Y. J. Metals (Trans. AIME 197) 5 (1953) 827.
R. E. Carter andF. D. Richardson, “An Examination of the Decrease-of-Surface-Activity Method of Measuring Self-Diffusion Coefficients in Wüstite and Cobaltous Oxide”.Ibid 6 (1954) 1244.
V. I. Izvekov, “Diffusion of Fe in Magnetite” (in Russian).Inzh.-fiz. Zh. (Eng.-Phys. J.)Akad. Nauk. Belarus SSR 1 (1958) 64; or seeV. I. Izvekov, andK. M. Gorbunova, “Study of Iron Diffusion in Corundum, Magnetite, and Rutile with the Help of Fe59 Indicator” (in Russian). The Use of Radioactive and Stable Isotopes and Radiation in the National Economy and in Science, National Conference (USSR), Proceedings (Acad. Sci., Moscow, 1958) p. 511.
W. D. Kingery, D. C. Hill, andR. P. Nelson, “Oxygen Mobility in Polycrystalline NiCr2O4 and α-Fe2O3”.J Amer, Ceram. Soc. 43 (1960) 473.
S. M. Klotsmann, A. N. Timofeyev, andI. Sh. Traktenberg, “The Problem of the Measurement of Diffusion Coefficients in Oxide Phases”.Fiz. Metall. i metallov 10 (1960) 733 (in Russian);Phys. Metals Metallogr.,10 (1960) 93.
Ph. Desmarescaux, J. P. Bocquet, andP. Lacombe, “Autodiffusion and Electrotransport in Iron Monoxide” (in French).Bull. Soc. chim. France 15 (1965) 1106.
W. C. Hagel, “Oxygen Diffusion in Hematite”.Trans. Met. Soc. AIME. 236 (1966) 179.
V. I. Izvekov, N. S. Gorbunov, andA. A. Babub-Zakhrapin, “Diffusion of Iron in Haematite”.Phys. Metals Metallogr. 14 (1962) 33.
R. L. Levin andJ. B. Wagner, “Reduction of Undoped and Chromium-Doped Wüstite in Carbon Dioxide/Carbon Monoxide Mixtures”.Trans. AIME 233 (1965) 159.
R. Lindner, “Self-Diffusion in Some Solids”.J. Chem. Soc. part V (1949) 5395.
Idem, “Self-Diffusion in Lead Oxide” (in German).Arkiv Kemi 4 (1952) 385;Chem. Abs. 47 30726; or seeR. Lindner andH. N. Terem, “Diffusion of Radioactive Lead in Lead Oxide Layers” (in German).Arkiv Kemi 7 (1954) 273;Chem. Abs. 49 2807c.
B. A. Thompson andR. L. Strong, “Self-Diffusion of Oxygen in Lead Oxide”.J. Phys. Chem. 67 (1963) 594.
A. K. Dasgupta, D. N. Sitharamarao, andG. D. Palkar, “Self-Diffusion of Lead in Lead Oxide (PbO)”.Nature 207 (1965) 628.
R. Lindner andG. D. Parfitt, “Diffusion of Radioactive Magnesium in Magnesium Oxide Crystals”.J. Chem. Phys. 26 (1957) 182.
Y. Oishi andW. D. Kingery, “Oxygen Diffusion in Periclase Crystals”.Ibid 33 (1960) 905.
S. P. Mitoff, “Electronic and Ionic Conductivity in MgO”.Ibid 36 (1962) 1383.
Idem, “Bulk Versus Surface Conductivity of MgO Crystals”.Ibid 41 (1964) 2561.
L. H. Rovner, “Diffusion of Oxygen in Magnesium Oxide”. Cornell Univ., Ithaca, N.Y., Dept. of Engineering Physics, Technical Report TR-10 (March, 1966).
K. Fueki andJ. B. Wagner, “Oxidation of Manganese in CO2/CO Mixtures”.J. Electrochem. Soc. 112 (1955) 970.
M. F. Barrett andT. I. Barry, “Non-Stoichiometry in Neodymium and Europium Oxides in Relation to their Interaction with Oxygen and Hydrogen”.J. Inorg. Nucl. Chem. 27 (1965) 1483.
W. J. Moore (submitted by F. O. Rice), “Rate Processes in Inorganic Solids at High Temperatures”. US Atomic Energy Commission Report, ORO-78 (1951).
R. Lindner andA. Akerström, “Self-Diffusion and Reaction in Oxide and Spinel Systems” (in German).Z. Phys. Chem. 6 (1956) 162.
M. T. Shim andW. J. Moore, “Diffusion of Nickel in Nickel Oxide”.J. Chem. Phys. 26 (1957) 802.
R. Lindner andA. Amerström, “Diffusion of Ni-63 in Nickel Oxide (NiO)”.Discuss. Faraday. Soc. 23 (1957) 133.
W. J. Moore, J. J. Lander, S. R. Logan, M. O'Keeffe, J. S. Choi, Y. Ebisuzaki, S. Brown, andD. Mitchell, “Physical Chemistry of the Solid State”. US Atomic Energy Commission Report, TID-11020 (1960).
M. O'Keeffe andW. J. Moore, “Diffusion of Oxygen in Single Crystals of Nickel Oxide”.J. Phys. Chem. 65 (1961) 1438.
J. S. Choi andW. J. Moore, “Diffusion of Nickel in Single Crystals of Nickel Oxide”.Ibid 66 (1962) 1308.
S. M. Klotsmann, A. N. Timofeyev, andI. Sh. Traktenberg, “Self-Diffusion of Nickel in Nickel Oxide”.Phys. Metals Metallogr. 14 (1962) 91.
J. B. Price andJ. B. Wagner Jr, “Determination of the Chemical Diffusion Coefficients in Single-Crystal CoO and NiO”.Z. phys. Chem. 49 (1966) 257.
F. Y. Wang, “Sintering Studies of NiO Compacts by the Electrical Resistance Method”.J. Appl. Phys. 37 (1966) 929.
P. Kofstad, K. Øystein, P. B. Anderson, andG. Lunde, “Studies of Diffusion of Nb95 in Sintered Nb2O5.” Central Inst. for Industrial Research, Blindem, Norway, Report No. 51, Publ. no. 346 (October, 1961).
D. L. Douglass, “Diffusion of Oxygen in Columbium Pentoxide and Zirconium Dioxide”. IAEA Corrosion of Reactor Materials, Conference (Salzburg, June, 1962). Proceedings, Vol. 2 (IAEA, Vienna, 1962) p. 223.
P. V. Gel'd andV. D. Lyubimov, “Activation Energy in Niobium Diffusion in its Oxides” (in Russian).Izvest. Sibirsk. Otd., Akad. Nauk SSSR, Ser. Khim. Naukl (1963) 79.
W. K. Chen andR. A. Swalin, “Studies of the Defect Structure of Alpha Nb2O5”.J. Phys. Chem. Solids 27 (1966) 57.
R. Elo, R. A. Swalin, andW. K. Chen, “Electronic and Ionic Conductivity in Alpha Nb2O5”.Ibid 28 (1967) 1625.
A. P. Litman, “Diffusion of Oxygen in Columbium”.Phys. Stat. Solidi 11 (1965) K47.
W. K. Chen andR. A. Jackson,J. Chem. Phys. 47 (1967) 1144.
U. E. Kuntz, andL. Eyring, “Diffusion of Oxygen in Rare-Earth Oxides”. Kinetics of High Temperature Processes, Conference (Dedham, Mass. 1958) Proceedings (edited by W. D. Kingery) p. 50 (Wiley, New York, 1959).
F. J. Norton, “Permeation of Gaseous Oxygen through Vitreous Silica”.Nature 181 (1961) 701.
R. Haul andG. Dümbgen, “Investigation of Oxygen Diffusion in Titanium Dioxide, Quartz, and Vitreous Quartz using Heterogeneous Isotopic Exchange” (in German).Z. Elektrochem 60 (1962) 636.
Preliminary results inR. Haul, D. Just, andG. Dümbgen, “Oxygen Diffusion in Oxides” (in German). Reactivity of Solids, International Conference (Amsterdam, May, 1960). Proceedings (edited by J. H. de Boer) (Elsevier, Amsterdam, 1961) p. 65
S. W. Ing, R. E. Morrison, andJ. E. Sandor, “Gas Permeation of Thin SiO2 Films”.J. Electrochem. Soc.,109 (1962) 221.
E. W. Sucov, “Diffusion of Oxygen in Vitreous Silica”.J. Amer. Ceram. Soc.,46 (1963) 14.
E. L. Williams, “Diffusion of Oxygen in Fused Silica”.Ibid, p. 190.
A. Choudhury, D. W. Palmer, G. Amsel, H. Curien, andP. Baruch, “A Study of Oxygen Diffusion in Quartz by using the Nuclear Reaction O18 (p, α) N15”.Solid State Communs. 3 (1965) 119.
D. W. Palmer, “Oxygen Diffusion in Quartz Studied by Proton Bombardment”.Nucl. Instr. Methods (Netherlands) 38 (1965) 187.
G. H. Frischat andH. J. Oel, “Eine Restaktivitatsmethode zur Bestiunnung von Selbstdiffusions Koefficienten in Festkorpern” (in German).Z. angew. Phys. 20 (1966) 195.
N. A. Surplice, “The Electrical Conductivity of SrO and CaO”.Brit. J. Appl. Phys. 17 (1966) 175.
A. S. Pavlovic, “Some Dielectric Properties of Tantalum Pentoxide”.J. Chem. Phys. 40 (1964) 951.
U. E. Kuntz andL. Eyring, “Diffusion of Oxygen in Rare-Earth Oxides”. Kinetics of High Temperature Processes, Conference (Dedham, Mass., 1958) Proceedings (edited by W. D. Kingery) (Wiley, New York, 1959) p. 50.
R. Lindner andO. Engvist, “Self-Diffusion in Zinc Stannate and Stannic Oxide”.Arkiv Kemi 9 (1956) 471.
R. Lindner, “Selbstdiffusion in Oxydsystemen” (in German).Z. Naturforsch. 10A (1955) 1027.
R. Haul, D. Just, andG. DÜmbgen, “Oxygen Diffusion in Oxides” (in German). Reactivity of Solids, International Conference (Amsterdam, May, 1960). Proceedings (edited by J. H. de Boer) (Elsevier, Amsterdam. 1961) p. 65.
R. Haul andG. Dümbgen, “Investigation of Oxygen Diffusion in Titanium Dioxide, Quartz, and Vitreous Quartz using Heterogeneous Isotropic Exchange” (in German).Z. Elektrochem. 66 (1962) 636.
Idem, “Oxygen Self-Diffusion in Rutile Crystals”.Phys. Chem. Solids 26 (1965) 1.
R. D. Carnahan andJ. D. Brittain, “Optical Absorption Study of Reduction Kinetics of Rutile Crystals”.J. Amer. Ceram. Soc. 48 (1965) 365.
L. D. Dufour andP. Dufour, “Sigmoidal Oxidation of Powdered Tungsten at an Intermediate Temperature and Low Oxygen Pressure” (in French).Compt. rend. 262 (1966) 409.
S. Aronson, R. B. Roof, andJ. Belle, “Kinetic Study of the Oxidation of Uranium Dioxide”.J. Chem. Phys. 27 (1957) 137.
J. Belle andB. Lustman, “Properties of UO2”. US Atomic Energy Commission Report, WAPD-184 (September, 1957); or see CEA and USAEC Fuel Elements Conference (Paris, November, 1957). US Atomic Energy Commission Report, TID-7546 (1958) p. 442.
both include the data inJ. Belle andA. B. Auskern, “Oxygen Ion Self-Diffusion in Uranium Dioxide”. Kinetics of High Temperature Processes, Conference (Dedham, Mass., 1958) Proceedings (edited by W. D. Kingery) (Wiley, New York, 1959) p. 44.
Idem, “Self-Diffusion of Oxygen in Uranium Dioxide”.J. Chem. Phys. 28 (1958) 171.
J. Belle, “Properties of Uranium Dioxide”. United Nations, Peaceful Uses of Atomic Energy, 2nd International Conference (Geneva, 1958) Proceedings, Vol. 6 (IAEA, Vienna, 1958) p. 569, Paper A/CONF. 15/P/2404 USA.
D. S. Kneppel, “Isotopic Interchange of Dispersion Fuels”. US Atomic Energy Commission Report, NMI-1232 (October, 1960) p. 1.
J. Belle, A. B. Auskern, W. A. Bostrom, andF. S. Susko, “Diffusion Kinetics in Uranium Dioxide”. Reactivity of Solids, International Conference (Amsterdam, May, 1960) Proceedings (edited by J. H. de Boer) (Elsevier, Amsterdam, 1961) p. 452.
This contains work inA. B. Auskern andJ. Belle, “Oxygen Ion Self-Diffusion in Uranium Dioxide”.J. Nucl. Math.,3 (1961) 267 andIdem, “Uranium Ion Self-Diffusion in UO2”.Ibid p. 311.
R. Lindner andF. Schmitz, “The Diffusion of Uranium233 in Uranium Dioxide” (in German).Z. Naturforsch. 16A (1961) 1373.
W. Van Lierde, “Physical Properties of UO2 Single Crystals”. Quarterly Report No. 11 (July–October, 1964). USA-Euratom Report EURAEC-1320 (1964).
G. B. Alcock, R. J. Hawkins, A. W. D. Hill, andP. Mcnamara, “A Study of Cation Diffusion in Stoichiometric UO2 using X-ray Spectrometry”. IAEA, Thermodynamics with Emphasis on Nuclear Materials and Atomic Transport in Solids, Symposium (Vienna, July, 1965) Proceedings (IAEA, Vienna, 1966) Paper SM-66/36.
W. Darnelas andP. Lacombe, “Diffusion sans Champ Électrique de l'Oxygène aux Températures de 900° à 1000° C dans l'Oxide d'Uranium UO2” (in French).J. Nucl. Math. 21 (1967) 100.
J. F. Marin andH. Michaud, “Application de la Spectrometrie α à la Mesure de Faibles Coefficients de Diffusion; Cas du Bioxyde d'Uranium” (in French).Compt. rend. 621 (1965) 693.
W. J. Deiss andH. Michaud, “Dispositif Expérimental pour la Mesure de Faibles Coefficients de Diffusion pour la Methods de Sectionnement” (in French). Centre d'Études Nucleares de Grenoble, Rapport CEA 2267 (1963).
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Harrop, P.J. Self-diffusion in simple oxides (A bibliography). J Mater Sci 3, 206–222 (1968). https://doi.org/10.1007/BF00585489
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DOI: https://doi.org/10.1007/BF00585489