## Mass Difference Calculation (2012 Table) | |

Comments about isobar separation at HRIBF: - Mass excess values are from the 2012 mass table of
G. Audi, M. Wang, A. H. Wapstra, F. G. Kondev, M. MacCormick, X. Xu, and B. Pfeiffer,
Chinese Physics C
**36**, 1287 (2012) and M. Wang, G. Audi, A. H. Wapstra, F. G. Kondev, M. MacCormick, X. Xu, and B. Pfeiffer, Chinese Physics C**36**, 1603 (2012). This version of the Mass Table was taken from AMDC at IMP in China; - Isobaric mass differences are given as
M/ΔM = A1 * 931.494013 / (M1 - M2) where M1 is the mass of the desired beam and M2 is the mass of the neighboring isobars. - The isobar separator has a resolving power of M/ΔM~20,000; however, the isobaric separation actually achieved will depend not only on isobaric mass differences but also on the beam emittance, energy spread, and isobar intensity ratios.
- The dispersion of the isobaric separator is given by:
dx(mm) = 5163 * ΔM/M (or ΔE/E if energy spread dominates). This corresponds to 0.258 mm for M/ΔM = 20,000. - Partial isobaric separation will usually be possible for M/ΔM<10,000, but may result in reduced beam intensity.
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