> I don't know if one can trust eta from the PAC results ?

In principle there is no objection. If it is a sufficiently clean experiment 
(good statistics, not too many different sites, sufficiently strong EFGs,...) 
then TDPAC can get eta with an error bar better than 0.1.

> > To what % agreemnet wrt experimental efg data, efg values from
> > theoretical calculation can be accepted.

Have a look at http://dx.doi.org/10.1021/acs.jpcc.6b06127 . The literature 
history is in this sentence on page 2:

"A rule of thumb of 10−20% is sometimes quoted [18,19,21,24] yet the origin of 
this number is
unclear and certainly not based on rigorous testing."

and the detailed analysis for the error bar on the EFG for 111Cd in hcp-Cd is 
in the section 'error budget' on page 4. The resulting error bars are listed in 
the last column of Tab. 1. 

Stefaan
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