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Origins of Wigner Energy in Graphite
Graphite is the most common allotrope of carbon found in
nature, and is often used as a neutron moderator.
Upon irradiation Wigner energy builds up inside the graphite lattice.
The mechanism by which Wigner energy is created and released is still
not well understood, but the generally accepted view is that the graphite
forms a metastable phase due to point defect generation, and if many point
defects are formed then the graphite can spontaneously return to its stable
phase, giving off energy in the process.
This animation shows the graphite lattice, and the possible point defects
that can form within it, as a three-dimensional model. The mouse can be
used to rotate the models.
Origins of Wigner Energy in Graphite
First, consider a section of a perfect graphite lattice,
consisting of two layers (for clarity one layer is shown in blue and the
other in green):
The solid lines represent covalent bonds between the carbon
atoms, and the red lines between layers are show how the layers line up
with respect to each other. The layers are 0.335 nm apart, and are bonded
together electrostatically.
Bond length = 0.143 nm
Drag to rotate the lattice.
Origins of Wigner Energy in Graphite
As with any irradiated material, Frenkel defects are formed
within the graphite lattice. This gives rise to vacancies, an example
of which is shown below where two vacancies are present.
As can be seen, some of the atoms are now only twofold
co-ordinated, allowing the creation of an extra bond (shown here as red
translucent line) between the graphite layers, along with a slight change
in bond angles of existing bonds. The other twofold co-ordinated atoms
in each layer form a weak reconstructive bond with each other (not shown).
Bond length = 0.143 nm
Drag to rotate the lattice.
Origins of Wigner Energy in Graphite
On formation of vacancies, the atom that previously occupied
that lattice site now becomes a self-interstitial atom. This atom can
lie between layers, such as the "spiro"-interstitial shown below.
This interstitial atom is fourfold co-ordinated, and does
cause some local lattice distortion since a fourfold co-ordinated carbon
atom is more stable in a tetrahedral conformation. The layers are no longer
completely coherent; there is some basal shift. These two defects shown
are just some of many possible in the graphite lattice.
Bond length = 0.143 nm
Drag to rotate the lattice.
Origins of Wigner Energy in Graphite
When the interstitial atom and the vacancy are close enough
to each other to easily recombine, the defect is referred to as an intimiate
Frenkel pair defect as shown below.
In this case, a recombination would occur when both purple
bonds break, and allowing new bonds to form to restore the perfect lattice.
An energy barrier must be overcome to break the purple bonds, and this
is why Wigner energy release requires a large temperature, at around 200°C.
If there is a large population of interstitials, many recombinations can
happen very quickly at this temperature, and since each recombination
releases 13-15eV there is a large temperature spike in the lattice.
Bond length = 0.143 nm
Drag to rotate the lattice.
Origins of Wigner Energy in Graphite
This photo shows a British nuclear reactor at Windscale
(now Sellafield). In 1957, the core of a reactor there caught fire causing
one of the world's worst nuclear accidents at that time. When the core
temperature was observed to be rising suddenly it was assumed that Wigner
energy release was occuring, so the graphite was annealed (heated) to
restore the lattice to its stable state and release the energy it stored
in a controlled manner. However, the reactor was not designed with the
annealing process in mind due to a lack of understanding of Wigner energy
at that time. This meant that hot spots in the core were unknowingly created,
which set fire to the metallic uranium then used as a fuel. One of the
reasons that uranium dioxide is now commonly used instead of uranium is
because it avoids this risk of fire.