The reaction used in both ``Hydrogen Bombs'' and Controlled Fusion is

12H+13H®24He+01n

or

D + T ® 4He + n

Other fusion reactions:

D + D ® 3He +n
and
D + D ® 3H +p

We can use an earlier table to calculate the energy released in this process:

Some nuclear data
Name Isotope nat abund Mass (amu or u) Half-life
neutron * n - 1.008665 12 min.
hydrogen H 99.985% 1.007825 -
deuterium D 0.015% 2.0140 -
tritium * T - 3.01605 12.3 yrs.
helium-3 3He 0.00014% 3.01603 -
helium-4 4He 99.99986% 4.00260 -

Table 1: Some light isotopes. The asterisk (*) denotes radioactive instability.

The mass on the left side of the reaction is
2.0140 u + 3.01605 u = 5.03005 u,
that on the right
4.00260 u + 1.008665 u = 5.011265 u.

The difference 0.018785 u, approximately 17.5 MeV is released in each such reaction.1 Although this is about ten times smaller than the energy evolved in the fission of uranium, note that the mass of the ingredients is smaller by a factor of almost fifty.

To make this reaction occur, the ingredients (on the left side of the reaction) must be brought within the range of the ``strong'' nuclear force (say 10-14 m) in spite of the fact that both are positively charged, and repel each other. To do this requires a combination of high temperature (or energy) and density (or pressure). Such conditions exist in the inerior of stars, but are difficult to achieve on earth.


Footnotes:

1Recall that one atomic mass unit (u) is equivalent to approximately 930 MeV.


File translated from TEX by TTH, version 2.77.
On 14 Nov 2000, 14:50.