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Beyond Electrons in a Box: Nanoparticles of Silver, Platinum and Rhodium

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Book cover Novel NMR and EPR techniques

Part of the book series: Lecture Notes in Physics ((LNP,volume 684))

Abstract

This chapter presents a review of NMR in small particles of three elemental metals: the “odd electron” Ag and Rh, and the “even electron” Pt. These experiments on elements close to each other in the periodic system demonstrate the versatility of the NMR technique, detecting several properties that are not captured by the simplest “electrons in a box” approximation. The NMR of Ag particles shows Bardeen-Friedel oscillations in the spatial density of Fermi-level electrons. The case of Pt is dominated by a strong spatial variation in the local density of states of d-like electrons, and Rh shows at low temperatures signs of incipient antiferromagnetism. As an introduction, a summary of relevant NMR theory is presented, and its application to the NMR of bulk Na metal.

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References

  1. W.D. Knight: Solid State Phys. 2, 93 (1956)

    Google Scholar 

  2. G.C. Carter, L.H. Bennett, D.J. Kahan: Prog. Mat. Sci. 20, 1 (1977)

    Google Scholar 

  3. J. Winter: Magnetic Resonance in Metals (Oxford University Press, Oxford 1970)

    Google Scholar 

  4. V.L. Moruzzi, J.F. Janak, A.R. Williams: Calculated Electronic Properties of Metals (Pergamon, New York 1978)

    Google Scholar 

  5. J.J. van der Klink, H.B. Brom: Prog. NMR Spectrosc. 36, 89 (2000)

    Article  Google Scholar 

  6. M. Weinert, A.J. Freeman: Phys. Rev. B 28, 6262 (1983)

    Article  ADS  Google Scholar 

  7. A.M. Clogston, V. Jaccarino, Y. Yafet: Phys. Rev. A 134, 650 (1964)

    Article  ADS  Google Scholar 

  8. J.J. van der Klink, J. Phys.: Condens. Matter 8, 1845 (1996)

    Article  ADS  Google Scholar 

  9. S.H. Vosko, J.P. Perdew: Can. J. Phys. 53, 1385 (1975)

    ADS  Google Scholar 

  10. O. Gunnarson, J. Phys. F: Met. Phys. 6, 587 (1976)

    Article  ADS  Google Scholar 

  11. J.A. Seitchik, A.C. Gossard, V. Jaccarino: Phys. Rev. 136, A1119 (1964)

    Article  ADS  Google Scholar 

  12. T. Moriya: Spin Fluctuations in Itinerant Electron Magnetism (Springer-Verlag, Berlin 1985)

    Google Scholar 

  13. R.J. Charles, W.A. Harrison: Phys. Rev. Lett. 11, 75 (1963)

    Article  ADS  Google Scholar 

  14. R. Kubo: J. Phys. Soc. Jpn. 17, 975 (1962)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. V.P. Tarasov, Yu.B. Muravlev, K.E. German, N.N. Popova: Doklady Physical Chemistry 377, 71 (2001)

    Article  Google Scholar 

  16. J.F. Janak: Phys. Rev. B 16, 255 (1977)

    Article  ADS  Google Scholar 

  17. A.R. Williams, U. von Barth: In [18]

    Google Scholar 

  18. S. Lundqvist, N.H. March: Theory of the Inhomogeneous Electron Gas (Plenum, New York 1983)

    Google Scholar 

  19. R.T. Schumacher, C.P. Slichter: Phys. Rev. 101, 58 (1956)

    Article  ADS  Google Scholar 

  20. W. Heitler, E. Teller: Proc. Roy. Soc. A 155, 629 (1936)

    Article  MATH  ADS  Google Scholar 

  21. N. Bloembergen, T.J. Rowland: Phys. Rev. 97, 1679 (1955)

    Article  ADS  Google Scholar 

  22. M. Ruderman, C. Kittel: Phys. Rev. 96, 99 (1954)

    Article  ADS  Google Scholar 

  23. Y. Yafet, V. Jaccarino: Phys. Rev. A 133, 1630 (1964)

    Article  ADS  Google Scholar 

  24. Y. Obata: J. Phys. Soc. Jpn. 18, 1020 (1963)

    Article  ADS  Google Scholar 

  25. R.W. Shaw, Jr, W.W. Warren: Jr, Phys. Rev. B 3, 1562 (1971)

    Article  ADS  Google Scholar 

  26. T. Moriya: J. Phys. Soc. Jpn. 18, 516 (1963)

    Article  ADS  Google Scholar 

  27. A. Narath, H.T. Weaver: Phys. Rev. 175, 373 (1968)

    Article  ADS  Google Scholar 

  28. J. Korringa: Physica 16, 601 (1950)

    Article  MATH  ADS  Google Scholar 

  29. C. Oliver, A. Myers: J. Phys.: Condens. Matter 1, 9457 (1989)

    Article  ADS  Google Scholar 

  30. Ch. Ryter: Phys. Lett. 4, 69 (1963)

    Article  ADS  Google Scholar 

  31. G.B. Benedek, T. Kushida, J. Phys. Chem. Solids 5, 241 (1958)

    Article  ADS  Google Scholar 

  32. R. Bertani, M. Mali, J. Roos, D. Brinkmann: J. Phys.: Condens. Matter 2, 7911 (1990)

    Article  ADS  Google Scholar 

  33. S. Kluthe, R. Markendorf, M. Mali, J. Roos, D. Brinkmann: Phys. Rev. B 53, 11369 (1996)

    Article  ADS  Google Scholar 

  34. T. Kushida, J.C. Murphy, M. Hanabusa: Phys. Rev. B 13, 5136 (1976)

    Article  ADS  Google Scholar 

  35. Ch. Ryter: Phys. Rev. Lett. 5, 10 (1960)

    Article  ADS  Google Scholar 

  36. D.A. Papaconstantopoulos: Handbook of the Bandstructure of Elemental Solids (Plenum Press, New York 1986)

    Google Scholar 

  37. A. Abragam: Principles of Nuclear Magnetism (Oxford University Press, Oxford 1961/1986)

    Google Scholar 

  38. U. El-Hanany, M. Shaham, D. Zamir: Phys. Rev. B 10, 2343 (1974)

    Article  ADS  Google Scholar 

  39. J.-J. Bercier: Thesis EPFL, Lausanne 1993

    Google Scholar 

  40. B.S. Shastry, E. Abrahams: Phys. Rev. Lett. 72, 1933 (1994)

    Article  ADS  Google Scholar 

  41. S. Kobayashi, T. Takahashi, W. Sasaki: J. Phys. Soc. Jpn. 32, 1234 (1972)

    Article  ADS  Google Scholar 

  42. M. Ido, R. Hoshino: J. Phys. Soc. Jpn. 36, 1325 (1974)

    Article  ADS  Google Scholar 

  43. P. Yee, W.D. Knight: Phys. Rev. B 11, 3261 (1975)

    Article  ADS  Google Scholar 

  44. M.J. Williams, P.P. Edwards, D.P. Tunstall: Faraday Discuss. 92, 199 (1991)

    Article  ADS  Google Scholar 

  45. J.K. Plischke, A.J. Benesi, M.A. Vannice: J. Phys. Chem. 96, 3799 (1992)

    Article  Google Scholar 

  46. V.M. Mastikhin, I.L. Mudrakovsky, S.N. Goncharova, B.S.Balzhinimaev, S.P. Noskova, V.I. Zaikovsky: React. Kinet. Catal. Lett. 48, 425 (1992)

    Article  Google Scholar 

  47. J.J. Bercier, M. Jirousek, M. Graetzel, J.J. van der Klink: J. Phys.: Condens. Matter 5, L571 (1993)

    Article  ADS  Google Scholar 

  48. J. Bardeen: Phys. Rev. 49, 653 (1936)

    Article  ADS  Google Scholar 

  49. R.L. Kautz, B.B. Schwartz: Phys. Rev. B 14, 2017 (1976)

    Article  ADS  Google Scholar 

  50. C. Solliard: Solid State Commun. 51, 947 (1984)

    Article  ADS  Google Scholar 

  51. Ph. Buffat, J.P. Borel: Phys. Rev. A 13, 2287 (1976)

    Article  ADS  Google Scholar 

  52. F. Wright Jr: Phys. Rev. 163, 420 (1967)

    Article  ADS  Google Scholar 

  53. W.A. Hines, W.D. Knight: Phys. Rev. B 4, 893 (1971)

    Article  ADS  Google Scholar 

  54. N. Inoue, T. Sugawara: J. Phys. Soc. Jpn. 45, 450 (1978)

    Article  ADS  Google Scholar 

  55. H.E. Rhodes, P.-K. Wang, H.T. Stokes, C.P. Slichter, J.H. Sinfelt: Phys. Rev. B 26, 3559 (1982)

    Article  ADS  Google Scholar 

  56. J.P. Bucher, J. Buttet, J.J. van der Klink, M. Graetzel: Surf. Sci. 214, 347 (1989)

    Article  ADS  Google Scholar 

  57. Y.Y. Tong, J.J. van der Klink: J. Phys. Chem. 98, 11011 (1994)

    Article  Google Scholar 

  58. Y.Y. Tong, D. Laub, G. Schulz-Ekloff, A.J. Renouprez, J.J. van der Klink: Phys. Rev. B 52, 8407 (1995)

    Article  ADS  Google Scholar 

  59. H. Dreyssé, C. Demangeat: Surf. Sci. Rep. 28, 65 (1997)

    Article  ADS  Google Scholar 

  60. J.P. Bucher, L.A. Bloomfield: Int. J. Mod. Phys. B 7, 1097 (1993)

    Article  Google Scholar 

  61. A. Eichler, J. Hafner, J. Furthmüller, G. Kresse: Surf. Sci 346, 300 (1996)

    Article  ADS  Google Scholar 

  62. C. Barreteau, R. Guirado-López, D. Spanjaard, M.C. Desjonquères, A.M. Olés: Phys. Rev. B 61, 7781–7794 (2000)

    Article  ADS  Google Scholar 

  63. A. Goldoni, A. Baraldi, M. Barnaba, G. Comelli, S. Lizzit, G. Paolucci: Surf. Sci. 454–456, 925–929 (2000)

    Article  Google Scholar 

  64. A.J. Cox, J.G. Louderback, S.E. Apsel, L.A. Bloomfield: Phys. Rev. B 49, 12295 (1994)

    Article  ADS  Google Scholar 

  65. H. Winter, E. Stenzel, Z. Szotek, W.M. Temmerman: J. Phys. F. Met. Phys. 18, 485–500 (1988)

    Article  ADS  Google Scholar 

  66. L.M. Sandratskii, J. Kübler: J. Phys.: Condens. Matter 4, 6927–6942 (1992)

    Article  ADS  Google Scholar 

  67. J.B. Staunton, J. Poulter, B. Ginatempo, E. Bruno, D.D. Johnson: Phys. Rev. B 62, 1075–1082 (2000)

    Article  ADS  Google Scholar 

  68. S. Burnet, T. Yonezawa, J.J. van der Klink: J. Phys.: Condens. Matter 14, 7135 (2002)

    Article  ADS  Google Scholar 

  69. A. Narath, H.T. Weaver: Phys. Rev. B 3, 616 (1971)

    Article  ADS  Google Scholar 

  70. H. Ebert, M. Battocletti, M. Deng, H. Freyer, J. Voitländer: J. Computational Chemistry, 20, 1246 (1999)

    Article  Google Scholar 

  71. P.A. Vuissoz, T. Yonezawa, D. Yang, J. Kiwi, J.J. van der Klink: Chem. Phys. Lett. 264, 366 (1997)

    Article  ADS  Google Scholar 

  72. R. Löber, D. Hennig: Phys. Rev. B 55, 4761 (1997)

    Article  ADS  Google Scholar 

  73. J.J. van der Klink: Adv. Cat. 44, 1 (2000)

    Article  Google Scholar 

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van der Klink, J. (2006). Beyond Electrons in a Box: Nanoparticles of Silver, Platinum and Rhodium. In: Dolinšek, J., Vilfan, M., Žumer, S. (eds) Novel NMR and EPR techniques. Lecture Notes in Physics, vol 684. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32627-8_8

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