theoretical and known nuclear half-lives...
I pulled the half-lives for the theoretical isotopes mentioned by Glenn T. Seaborg and described in Wikipedia reference 1, and from the Moller Theoretical Nuclear Chart 1997 listed in reference 2.
Possible magic number of neutrons for spherical nuclei:
(n_n,n_p)
(184,114) \; \; \; ^{298}_{114} \text{Uuq} \; \; \; T_{1/2} = 1.2 \; \text{h}
(184,120) \; \; \; ^{304}_{120} \text{Ubn} \; \; \; T_{1/2} = 150 \; \text{ns}
(184,126) \; \; \; ^{310}_{126} \text{Ubh} \; \; \; T_{1/2} = 21 \; \text{ps} - doubly magic
(126,82) \; \; \; ^{208}_{82} \text{Pb} \; \; \; T_{1/2} = \text{stable} - doubly magic
Isotopes of elements in the range between 110 through 114 have been found to decay more slowly than isotopes of nuclei nearby in the periodic table.
Longest lived measured isotope in range 110 through 114:
(173,112) \; \; \; ^{285}_{112} \text{Cn} \; \; \; T_{1/2} = 29 \; \text{s}
(173,112) \; \; \; ^{285}_{112} \text{Cn} \; \; \; T_{1/2} = 10 \; \text{h} - theoretical
Recent research indicates that large nuclei are deformed, causing magic numbers to shift. Hassium-270 is now believed to be doubly-magic nucleus, with deformed magic numbers 108 and 162. Its_half-life may be as high as 23 seconds.
(161,108) \; \; \; ^{269}_{108} \text{Hs} \; \; \; T_{1/2} = 9.7 \; \text{s} - doubly magic
(162,108) \; \; \; ^{270}_{108} \text{Hs} \; \; \; T_{1/2} = 3.6 \; \text{s} - doubly magic
(169,108) \; \; \; ^{277}_{108} \text{Hs} \; \; \; T_{1/2} = 16.5 \; \text{m} - spontaneous fission
The nucleus with Z=110, N=183 appears to be near the center of a possible 'magic island':
(183,110) \; \; \; ^{293}_{110} \text{Ds} \; \; \; T_{1/2} = 160 \; \text{d} - magic island center
(184,110) \; \; \; ^{294}_{110} \text{Ds} \; \; \; T_{1/2} = 130 \; \text{y} - magic island center
(171,110) \; \; \; ^{281}_{110} \text{Ds} \; \; \; T_{1/2} = 11 \; \text{s} - spontaneous fission
(171,110) \; \; \; ^{281}_{110} \text{Ds} \; \; \; T_{1/2} = 9 \; \text{h} - theoretical
Longest lived theoretical chart isotope of Ubh:
(213,126) \; \; \; ^{339}_{126} \text{Ubh} \; \; \; T_{1/2} = 130 \; \text{y}
However note that the theoretical nuclear chart in this region is incomplete.
Also note that the actual measured_half-life values are much less than those based upon the Moller theoretical model, and are therefore a theoretical upper limit.
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Reference:
http://en.wikipedia.org/wiki/Island_of_stability"
http://ie.lbl.gov/toipdf/theory.pdf"
http://en.wikipedia.org/wiki/Hassium"
http://en.wikipedia.org/wiki/Darmstadtium"