Laboratory spectroscopy and the search for space-time variation of the   fine structure constant using QSO spectra
  Theories unifying gravity with other interactions suggest spatial and temporal variation of fundamental ``constants'' in the Universe. A change in the fine structure constant, alpha, could be detected via shifts in the frequencies of atomic transitions in quasar absorption systems. Previous studies of three independent samples of data, containing 143 absorption systems spread from 2 to 10 billion years after big bang, hint that alpha was smaller 7 - 11 billion years ago.   To continue this study we urgently need accurate laboratory measurements of atomic transition frequencies. In this paper, we present a current list of transitions of importance to the search for alpha variation. They are E1 transitions to the ground state in several different atoms and ions, with wavelengths ranging from around 900 - 6000 Angstroms, and require an accuracy of better than 10^(-4) Angstroms. We also discuss isotope shift measurements that are needed in order to resolve systematic effects in the study.   Researchers who are interested in performing these measurements should contact the authors directly. 
J. C. Berengut, V. A. Dzuba, V. V. Flambaum, M. G. Kozlov, M. V.   Marchenko, M. T. Murphy, and J. K. Webb