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Basic Principals, Teminology, Radioactive Decay, Basic Decay Equations, Mass of Nuclei, Binding Energy, Nuclear Reaction, fission and Fusion
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Introduction
The objective of this course is to give a basic introduction to nuclear energy and the principles of
physics which underlie the production of power from nuclear sources. Questions of health physics,
safety and waste production will also be discussed.
Terminology
Isotopes denoted by:
Z
A
often simplified to
A
eg U 235 , Pu 239
where:
Mass Number A : is total number of heavy particles in the nucleus (nucleons)
Atomic Number Z : is the number of protons
Neutron Number N : is the number of neutrons
Radioactive Decay
Alpha (α): the release of a helium nucleus, usually accompanied by gamma (γ) rays which
are a form of electromagnetic radiation
Mass number falls by 4, atomic number falls by 2
Beta (β): the emission of a negative particle equivalent to an electron by the transformation
of a neutron into a proton
Neutron = proton + beta (–) particle + neutrino
Mass number is unchanged, atomic number increases by 1
Beta positive decay is possible though less common
Proton = neutron + beta (+) particle + neutrino
Mass number is unchanged, atomic number falls by 1
Beta decay is again usually accompanied by gamma rays
Gamma (γ): emission is electromagnetic radiation and if alone there is no change in mass
atomic or neutron numbers.
Neutron emission also occurs in some nuclear reactions and is critical to the generation of
electricity by nuclear energy.
Basic Decay Equations
0 exp(–λt)
where N is number of nuclei at time t
0 is number at time 0
λ is the decay constant
Half-life =
Unit of decay: bequerel (Bq) = one disintegration per second
One curie (Ci) = 3.7 x 10
10
Bq
The activity of one kg of material is given by
a
Bq
where N a
is the Avogadro number = 6.022 x 10
26
A is the mass number (in kg)
Mass of Nuclei
Mass = m ± Δm
where m is an integer
Δm is the mass defect or excess
Atomic mass of a proton = 1.007277 u
Atomic mass of a neutron = 1.008665 u
Mass of an electron = 0.000549 u
Atomic mass unit (u) is defined as 1/12 of mass of C 12
One u = 1.66 x
kg = 1/N a
Binding Energy
Einstein’s relationship E = mc
2
Binding mass energy (B) (or mass defect) is given by:
B = Nm n
A
(total mass of separate particles less mass of atom)
where m n
is mass of neutron
m H
is mass of a proton + an electron (mass of light hydrogen)
A is mass of the atom in question
Energy of Nuclear Reactions
one electron volt (eV) = 1.602 x 10
one Atomic mass unit (u) is equivalent to 931 MeV
Nuclear Reactions
Fusion is the combination of two light atoms to produce one heavier atom eg
Lithium 6
It will be many years before fusion is of any commercial (non-military) importance despite intensive
research in many parts of the world, including the UK.