Skip to main content
SpringerLink
Log in

Relating PAC damping to EFG fluctuation rates through the PAC relaxation peak

Dynamic N-state symmetric models

  • Published:
Hyperfine Interactions Aims and scope Submit manuscript

Abstract

A perturbed angular correlation (PAC) experiment that measures dynamic damping also needs information about the fundamental quadrupole frequency to relate the damping as a function of temperature to the EFG fluctuation rate. When the experiment is unable to access slow electric field gradient (EFG) fluctuations that show the fundamental quadrupole frequency directly, one needs additional information to determine the hyperfine field parameters and thereby the connection between observed damping and EFG fluctuation rates. One way to solve this problem is to estimate the hyperfine parameters from the fluctuation rate for maximum damping (i.e. at the relaxation peak) or from the rate of maximum damping. This work relates both the maximum damping rate and the fluctuation rate at the relaxation peak to EFG magnitudes (or quadrupole frequencies) for five dynamic N-state symmetric models of fluctuating EFGs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Baudry, A., Boyer, P.: Approximation of the Blume’s stochastic model by asymptotic models for PAC relaxation analysis. Hyperfine Interact. 35, 803–806 (1987)

    Article  ADS  Google Scholar 

  2. Lage, S., Collins, G.S.: Motion of cadmium tracer atoms in Al11 R 3 phases (R = La,Ce,Pr). Defect Diffus. Forum. 289–292, 755–761 (2009)

    Article  Google Scholar 

  3. Winkler, H., Gerdau, E.: γγ-angular correlations perturbed by stochastic fluctuating fields. Z. Phys. 262, 363–376 (1973)

    Article  ADS  Google Scholar 

  4. Dattagupta, S.: Study of time-dependent hyperfine interactions by PAC, Mössbauer effect, μSR and NMR: a review of stochastic models. Hyperfine Interact. 11, 77–126 (1981)

    Article  ADS  Google Scholar 

  5. Evenson, W.E., Gardner, J.A., Wang R., Su, H.-T., McKale, A.G.: PAC analysis of defect motion by Blume’s stochastic model for I = 5/2 electric quadrupole interactions. Hyperfine Interact. 62(4), 283–300 (1990)

    Article  ADS  Google Scholar 

  6. Guan, H.: Models of perturbed angular correlations in fluctuating electric field gradients. PhD dissertation, Brigham Young University (1994)

  7. Lu, J.: Stochastic models of perturbed angular correlation due to diffusion of defects in materials. PhD dissertation, Brigham Young University (1995)

  8. Zacate, M.O., Evenson, W.E.: Comparison of XYZ model fitting functions for 111Cd in In3La. Hyperfine Interact. 158(1–4), 329–332 (2004)

    Article  ADS  Google Scholar 

  9. Zacate, M.O., Evenson, W.E.: Stochastic hyperfine interactions modeling library. Comput. Phys. Commun. 182, 1061–1077 (2011)

    Article  ADS  MATH  Google Scholar 

  10. Marshall, A.G., Meares, C.F.: Effect of slow rotational diffusion on angular correlations. J. Chem. Phys. 56, 1226–1229 (1972)

    Article  ADS  Google Scholar 

  11. Abragam, A., Pound, R.V.: Influence of electric and magnetic fields on angular correlations. Phys. Rev. 92, 943–962 (1953)

    Article  ADS  MATH  Google Scholar 

Download references

Author information

Author notes

  1. Jeffery A. Hodges

    Present address: Department of Physics, University of Utah, Salt Lake City, UT, 84112, USA

Authors and Affiliations

  1. Department of Physics, Utah Valley University, Orem, UT, 84058, USA

    Tyler Park, Jeffery A. Hodges, Carlos Moreno, Michael Stufflebeam, William E. Evenson & P. Matheson

  2. Department of Physics and Geology, Northern Kentucky University, Highland Heights, KY, 41099, USA

    M. O. Zacate

  3. Department of Physics and Astronomy, Washington State University, Pullman, WA, 99164, USA

    Gary S. Collins

Authors
  1. Tyler Park
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jeffery A. Hodges
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Carlos Moreno
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Michael Stufflebeam
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. William E. Evenson
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. P. Matheson
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. M. O. Zacate
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Gary S. Collins
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to William E. Evenson.

Additional information

Supported in part by NSF grant DMR 06-06006 (Metals Program).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Park, T., Hodges, J.A., Moreno, C. et al. Relating PAC damping to EFG fluctuation rates through the PAC relaxation peak. Hyperfine Interact 199, 397–402 (2011). https://doi.org/10.1007/s10751-011-0332-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10751-011-0332-6

Keywords

Search

Navigation