Abstract
Nuclear magnetic resonance (NMR) experiments recording the recovery of the magnetization of the nuclei in one phase, following the excitation of the nuclei in the other phase, is a classical way of studying blends inhomogeneous at the nanometer scale. Interpretation of the time recovery in terms of the spatial dimension requires knowledge of the two-phase spin diffusion coefficientsD 0. A new method of measurement ofD 0 is proposed on the basis of variable angle-tilted rotatory frame relaxation in homogeneous samples doped with paramagnetic centers. The choice of the tilt angle allows one to finely balance the direct relaxation by the paramagnetic center and the spin diffusion. The shape of the relaxation is analyzed with the solution for the diffusion-limited regimeM(t)/M(0)=exp[−(r 2 t)1/2−r 1 t] andD 0 then calculated fromr 1,r 2 and the concentration of paramagnetic centers. Conditions where reliable results can be obtained both theoretically and numerically are explored. The method has been implemented and applied to polycrystalline Mn-doped CaF2 leading toD 0=540±60 nm2/s, in agreement with existing values on this model compound.
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VanderHart D.L., McFadden G.B.: Solid State Nucl. Magn. Reson.7, 45–66 (1996)
Schmidt-Rohr K., Spiess H.W.: Multidimensional Solid-State NMR and Polymers. London: Academic Press 1994.
Mc Brierty V.J., Packer K.J.: Nuclear Magnetic Resonance in Solid Polymers, chapt. 6. Cambridge: Cambridge University Press 1993.
Goldman M., Shen L.: Phys. Rev.144, 321–331 (1966)
Landfester K., Boeffel C., Lambla M., Spiess H.W.: Macromolecules29, 5972–5980 (1996)
Caravatti P., Neuenschwander P., Ernst R.R.: Macromolecules19, 1889–1895 (1986)
Ernst M., Meier B.H. in: Solid State NMR of Polymers (Ando I., Asakura T. eds.), pp. 83–121. Amsterdam: Elsevier 1998 (Studies in Physical and Theoretical Chemistry, vol. 84)
Blumberg W.E.: Phys. Rev.119, 79–84 (1960)
Wang J.H., Jack K.S., Natansohn A.L.: J. Chem. Phys.107, 1016–1020 (1997)
Lowe L.J., Gade S.: Phys. Rev.156, 817–825 (1967)
Redfield A.G., Yu W.N.: Phys. Rev.169, 443–450 (1968); ibid. Redfield A.G., Yu W.N.:177, 1018 (1969)
Borckmans P., Walgraef D.: Phys. Rev.167, 282–288 (1968)
Tang C., Waugh J.S.: Phys. Rev. B45, 748–754 (1992)
Packer K.J., Pope J.M., Yeung R.R.: J. Polym. Sci. B Polym. Phys.22, 589–616 (1984)
Clauss J., Schmidt-Rohr K., Spiess H.W.: Acta Polym.44, 1–17 (1993)
Spiegel S., Schmidt-Rohr K., Boeffel C., Spiess H.W.: Polymer34, 4566–4569 (1993)
Douglass D.C., Jones G.P.: J. Chem. Phys.45, 956–963 (1966)
Havens J.R., VanderHart D.L.: Macromolecules18, 1663–1676 (1985)
Mellinger F., Wilhelm M., Spiess H.W.: Macromolecules32, 4686–4691 (1999)
Cheung T.T.P., Gerstein B.C., Ryan L.M., Taylor R.E., Dybowski C.R.: J. Chem. Phys.73, 6059–6067 (1980)
Hu W.G., Zimmermann H., Schmidt-Rohr K.: Appl. Magn. Reson.17, 1197–1209 (1999)
Zhang W.R., Cory D.G.: Phys. Rev. Lett.80, 1324–1327 (1998)
Zhang W.R., Cory D.G.: J. Magn. Reson.132, 144–149 (1998)
Gates J.V., Potter W.H.: Phys. Rev. B15, 4143–4148 (1977)
Lowe I.J., Tse D.: Phys. Rev.166, 279–291 (1968)
Tse D., Lowe I.J.: Phys. Rev.166, 292–302 (1968)
Tabti T., Goldman M., Jacquinot J.F., Fermon C., LeGoff G.: J. Chem. Phys.107, 9239–9251 (1997)
Tabti T.: Thèse de doctorat de l’Université de Paris XI, Paris, France, 1995.
Vincent S.J.F., Bodenhausen G.: Appl. Magn. Reson.17, 186–196 (1999)
Desvaux H., Berthault P., Birlirakis N.: Chem. Phys. Lett.233, 545–549 (1995)
Gösele U.: Physica B&C185, 317–322 (1976)
Bloembergen N.: Physica15, 386–426 (1949)
Abragam A.: The Principles of Nuclear Magnetism. Oxford: Clarendon Press 1961.
Khutsishvili G.R.: Prog. Low Temp. Phys.6, 375–404 (1970)
de Gennes P.G.: J. Phys. Chem. Solids3, 345–350 (1958)
Booth R.J., McGarvey B.R.: Phys. Rev. B21, 1627–1635 (1980)
Rorschach H.E. Jr.: Physica30, 38–48 (1964)
Horvitz E.P.: Phys. Rev. B3, 2868–2872 (1971)
Nevzorov A.A., Freed J.H.: J. Chem. Phys.115, 2416–2429 (2001)
Wolfe J.P., Markiewzc R.S.: Phys. Rev. Lett.30, 1105–1107 (1973)
Eaton S.S. in: Distance Measurements in Biological Systems by EPR (Berliner L.J., Eaton G.R., Eaton S.S., eds.), p. 68. New York: Kluwer Academic/Plenum Publishers 2000 (Biological Magnetic Resonance, vol. 19)
Furman G.B., Kunoff E.M., Goren S.D., Pasquier V., Tinet D.: Phys. Rev. B52, 182–187 (1995)
Lin N.A., Hartmann S.R.: Phys. Rev. B8, 4079–4085 (1973)
Jones G.P.: Phys. Rev.148, 332–336 (1966)
Goldman M., Jacquinot J.F.: J. Phys. Paris43, 1049–1058 (1982)
Akhmedov A.G., Dautov R.A.: Sov. Phys. Solid State6, 415–417 (1963)
Leppelmeier G.W., Jeener J.: Phys. Rev.175, 498–502 (1968)
Gerstein B.C., Dybowski C.R.: Transient Techniques in NMR of Solids. London: Academic Press 1985.
Richardson R.J., Sook Lee, Menne T.J.: Phys. Rev. B4, 3837–3845 (1971)
Hansen A.D.A., Wolfe J.P.: Phys. Lett. A66, 320–322 (1978)
Mc Nally J.M., Kreilick R.W.: J. Phys. Chem.86, 421–428 (1982)
Blanchard C., Gaillard B., Deville A.: J. Phys. Paris40, 1179–1184 (1979)
Du J.L., Eaton G.R., Eaton S.S.: J. Magn. Reson. A115, 213–221 (1995)
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Meurer, B., Weill, G. A tilted rotatory frame method for the measurement of nuclear spin diffusion coefficients in solids doped with paramagnetic centers: Mn-Doped CaF2 . Appl. Magn. Reson. 23, 133–147 (2002). https://doi.org/10.1007/BF03166191
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DOI: https://doi.org/10.1007/BF03166191