Determination of very slow. mu. /sup +/ hop rates in Cu by LLF-. mu. SR Page: 4 of 8
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are displayed in Figs. 1 and 2. The function Cfz(t, *swLF) is
actually stored in a 3-dimensional array which is interpolated by
a generalized table-lookup function for fitting. [Available on
request for VAX VMS installations.]
Figure 1. Dynamic relaxation functions (7 (t,»») for (a)
ZF and (b) LLF (12 G) with hop rate v ranging from 0 to
3 jjs*1. The static function f (t) is calculated for
the Cu o-site with [in (b)] the field along the <111>
Inspection of Fig. 1 will reveal several important advantages
of the LLF-jjSR method: First, there is a "T, minimum" effect in
both ZF and LLF cases where the relaxation function is least
sensitive to small changes in v; however, for ZF this flat region
occurs for hop rates of about 1 as*1, whereas for a LF of 12 G it
moves to v » 2 as*’. It is thus possible to "tun?" the LF to an
optimum value for any given v. Second, the gross difference
between the static and dynamic relaxation functions is roughly
twice as large for the LLF case as for the ZF case, giving
correspondingly more "leverage" on v, over all but the earliest
time range. Third, the time range over which the effects of slow
hopping are most pronounced starts at earlier times (4 jjs) for the
LLF case, while accurate measurements of the decay of the "4- tail"
in the ZF case depend on the data beyond 6 «js. This is
illustrated clearly in Fig. 2, as is the final (and perhaps most
important) distinction between ZF and LLP spectra: In Cu, owing to
the complexity of the spin system in the o-site, the ZF "-j- tail"
is neither time-independent nor equal to -j- at long times. This no
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Brewer, J.H.; Celio, M.; Harshman, D.R.; Keitel, R.; Kreitzman, S.R.; Luke, G.M. et al. Determination of very slow. mu. /sup +/ hop rates in Cu by LLF-. mu. SR, article, January 1, 1986; United States. (digital.library.unt.edu/ark:/67531/metadc1063684/m1/4/: accessed November 13, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.