Va. Dzuba et Vv. Flambaum, Atomic optical clocks and search for variation of the fine-structure constant - art. no. 034502, PHYS REV A, 6103(3), 2000, pp. 4502
Theories unifying gravity and other interactions suggest the possibility of
spatial and temporal variations of physical "constants." Accuracy achieved
for atomic optical frequency standards (optical clocks) approaches the lev
el when possible time evolution of the fine-structure constant ct can be st
udied by comparisons of rates between clocks based on different atomic tran
sitions in different atoms. The sensitivity to variation of alpha is due to
relativistic corrections that are different in different atoms (similar to
Z(2)alpha(2)). We have calculated the values of the relativistic energy sh
ifts in In II, Tl II, Ba II, and Ra II, which all can be used as atomic opt
ical clocks. The results are to be used to translate any change in the cloc
k's rate into variation of alpha.