E=mc2 ! Convert mass to energy?
Atomic cores are built from neutrons and protons. There
are very strong attractive forces between them. The
potential energy associated with the force keeping them
together in the core is called the binding energy EB.
We now know that the total rest energy of the particle
equals the sum of the rest energy of all constituents minus
the total binding energy EB:
Mc2 = Σ(mi c2) – EB
Or in terms of Mass per nucleon
Mc2 = Σ(mi c2) – EB
Periodic table of elements
Example: Deuterium fusion
Isotopes of Hydrogen:
Example: Deuterium fusion
Isotope mass:
Deuterium: 2.01355321270 u
Helium 4: 4.00260325415 u
(1 u ≈ 1.66·10-27 kg)
! 1kg of Deuterium yields ~0.994 kg of Helium 4.
Energy equivalent of 6 grams:
E0 = mc2 = (0.006 kg)·(3·108 m/s )2 = 5.4·1014 J
Enough to power ~20,000 American households for 1 year!
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