J. Shimoda et A. Masuda, INFLUENCE OF ERRORS IN DETERMINATION OF LIGHT LANTHANIDES ON THE NUMERICAL VALUES TO INDICATE THE LIGHT LANTHANIDE TETRAD EFFECT, Proceedings of the Japan Academy. Series B Physical and biological sciences, 74(8), 1998, pp. 185-187
This communication reveals quantitatively the influence of experimenta
l errors in measurement of abundances of La, Nd, Sm and Gd on the nume
rical index (ABEXEL) about the lanthanide tetrad effect. The resultant
influence is greatest for the combinations of La (+), Nd (-), Sm (+)
and Gd (-), and La (-), Nd (+), Sm (-) and Gd (+), where symbols + and
- refer to positive and negative errors, respectively. If the experim
ental errors are assumed to be randomly 2.5%, the maximum uncertainty
of resulting ABEXEL turns out in general to be +/-0.036, and the avera
ged uncertainty to be +/-0.017. The discussions presented here are app
licable to the uncertainties of the values of a system taken for norma
lization.