Atomic and Nuclear Physics
DOE-HDBK-1019/1-93
ATOMIC NATURE OF MATTER
r = (1.25 x 10
-13
cm) A1/3
where:
r = radius of the nucleus (cm)
A = atomic mass number (dimensionless)
The values of the nuclear radii for some light, intermediate, and heavy nuclides are shown in
Table 2.
TABLE 2
Calculated Values for Nuclear
Radii
Nuclide
Radius of Nucleus
1
1
H
1.25 x 10
-13
cm
10
5
B
2.69 x 10
-13
cm
5
2
6
6
Fe
4.78 x 10
-13
cm
17
7
8
2
Hf
7.01 x 10
-13
cm
23
9
8
2
U
7.74 x 10
-13
cm
25
9
2
8
Cf
7.89 x 10
-13
cm
From the table, it is clear that the radius of a typical atom (e.g. 2 x 10
-8
cm) is more than 25,000
times larger than the radius of the largest nucleus.
Nuclear Forces
In the Bohr model of the atom, the nucleus consists of positively-charged protons and electrically-
neutral neutrons. Since both protons and neutrons exist in the nucleus, they are both referred to
as nucleons. One problem that the Bohr model of the atom presented was accounting for an
attractive force to overcome the repulsive force between protons.
Two forces present in the nucleus are (1) electrostatic forces between charged particles and (2)
gravitational forces between any two objects that have mass. It is possible to calculate the
magnitude of the gravitational force and electrostatic force based upon principles from classical
physics.
Rev. 0
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NP-01