1. Problem Description: The total nuclear binding energy is the energy required to split a nucleus of an atom in its component parts: protons and neutrons, or, collectively, the nucleons. It describes how strongly nucleons are bound to each other. When a high amount of energy is needed to separate the nucleons, it means nucleus is very stable and the neutrons and protons are tightly bound to each other. The atomic number or proton number (symbol Z) is the number of protons found in the nucleus of an atom. The sum of the atomic number Z and the number of neutrons N gives the mass number A of an atom. + Binding energy Nucleus (smaller mass) Separated nucleons (greater mass) Figure 1: Binding Energy in the Nucleus The approximate nuclear binding energy Eb in million electron volts, of an atomic nucleus with atomic number Z and mass number A is calculated using the following formula: Eb = a,A – a2A3 (А — 2Z)2 a4 a5 + A A3 AZ where, a, = 15.67, а2 %3D 17.23, аз %3D 0.75, а, = 93.2 ,and

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1. Problem Description:
The total nuclear binding energy is the energy required to split a nucleus of an
atom in its component parts: protons and neutrons, or, collectively, the nucleons.
It describes how strongly nucleons are bound to each other. When a high amount
of energy is needed to separate the nucleons, it means nucleus is very stable
and the neutrons and protons are tightly bound to each other.
The atomic number or proton number (symbol Z) is the number of protons found
in the nucleus of an atom. The sum of the atomic number Z and the number of
neutrons N gives the mass number A of an atom.
+ Binding energy
Nucleus
Separated nucleons
(smaller mass)
(greater mass)
Figure 1: Binding Energy in the Nucleus
The approximate nuclear binding energy Eb in million electron volts, of an atomic
nucleus with atomic number Z and mass number A is calculated using the
following formula:
(А — 2Z)2 , as
+-
2
Eb = a,A – ażA3 – az¬– đ4
А
Аз
AZ
where, a, = 15.67, a, = 17.23, az = 0.75, a4 = 93.2 ,and
Transcribed Image Text:1. Problem Description: The total nuclear binding energy is the energy required to split a nucleus of an atom in its component parts: protons and neutrons, or, collectively, the nucleons. It describes how strongly nucleons are bound to each other. When a high amount of energy is needed to separate the nucleons, it means nucleus is very stable and the neutrons and protons are tightly bound to each other. The atomic number or proton number (symbol Z) is the number of protons found in the nucleus of an atom. The sum of the atomic number Z and the number of neutrons N gives the mass number A of an atom. + Binding energy Nucleus Separated nucleons (smaller mass) (greater mass) Figure 1: Binding Energy in the Nucleus The approximate nuclear binding energy Eb in million electron volts, of an atomic nucleus with atomic number Z and mass number A is calculated using the following formula: (А — 2Z)2 , as +- 2 Eb = a,A – ażA3 – az¬– đ4 А Аз AZ where, a, = 15.67, a, = 17.23, az = 0.75, a4 = 93.2 ,and
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