We present and analyze
a three-dimensional (3D) volume of nanoscale
helium bubbles in a tritium-exposed palladium alloy that we have reconstructed
by transmission electron tomography. Helium nanobubbles commonly form
within metals during exposure to radiation and radioactive substances.
The radioactive decay of tritium stored in metal tritides often results
in a high density of these nanoscale helium bubbles. A persistent
question about the mechanisms of bubble nucleation and growth has
been the role of lattice defects and impurities. To address this matter,
we have determined the 3D positions of helium nanobubbles in a palladium–nickel
alloy exposed to tritium for 3.8 years. We introduce methods to determine
the 3D shapes, volumes, and spatial positions of helium bubbles as
small as 1 nm within solids. We find that the size and spacing of
observed nanobubbles are not correlated. Our results suggest that
previous models, which hypothesize initial, rapid homogeneous nucleation
of nanobubbles followed by diffusion-limited growth as helium atoms
join the nearest bubble, are inadequate. We propose that the lack
of size and spacing correlation is due to traps of atomic helium in
the metal lattice that allow bubbles to nucleate even at low average
helium concentration. This work will facilitate the development of
high-fidelity models of helium nanobubble formation in radiation-exposed
metals.