Problem: The 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. + Binding energy required to separate the Nucleus (Protons+ Neutrons) components Separated nucleons The approximate nuclear binding energy (EB) of an atomic nucleus with atomic number Z and mass number A calculated using the following formula EB a, A - azA²/3 z2 (А — 22)2 as az A1/3 A where, a = 15.67, a2 = 17.23, a3 = 0.75, as = 93.2, and A1/2, %3D %3D if A is odd if A and Z are both even, -12.0 if A is even and Z is odd. a5 = 12.0 And the binding energy per nucleon (BEN) is calculated by dividing the binding energy (EB) by the mass number (A). In this assignment you are asked to write a java program that asks the user for a valid atomic number (Z) then goes through all values of A from A = Z to A = 4Z to find the mass number (4) that has the largest binding energy per nucleon (BEN). If the user enters invalid atomic number that is not between 1 and 118, the program should give the user other chance to enter a valid input.
Problem: The 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. + Binding energy required to separate the Nucleus (Protons+ Neutrons) components Separated nucleons The approximate nuclear binding energy (EB) of an atomic nucleus with atomic number Z and mass number A calculated using the following formula EB a, A - azA²/3 z2 (А — 22)2 as az A1/3 A where, a = 15.67, a2 = 17.23, a3 = 0.75, as = 93.2, and A1/2, %3D %3D if A is odd if A and Z are both even, -12.0 if A is even and Z is odd. a5 = 12.0 And the binding energy per nucleon (BEN) is calculated by dividing the binding energy (EB) by the mass number (A). In this assignment you are asked to write a java program that asks the user for a valid atomic number (Z) then goes through all values of A from A = Z to A = 4Z to find the mass number (4) that has the largest binding energy per nucleon (BEN). If the user enters invalid atomic number that is not between 1 and 118, the program should give the user other chance to enter a valid input.
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Transcribed Image Text:Toject
Yourld).
Problem:
The 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.
+ Binding
energy
required to
separate the
components
Nucleus
(Protons + Neutrons)
Separated nucleons
The approximate nuclear binding energy (EB) of an atomic nucleus with atomic number Z and mass
number A is calculated using the following formula
EB = a,A – azA?/3
2
(А — 22)2
%3D
az
A1/3
A
A1/
where, a = 15.67, a2= 17.23, a3 = 0.75, as = 93.2, and
if A is odd
if A and Z are both even,
if A is even and Z is odd.
a5 =
12.0
-12.0
And the binding energy per nucleon (BEN) is calculated by dividing the binding energy (Es) by the
mass number (A).
In this assignment you are asked to write a java program that asks the user for a valid atomic number
(Z) then goes through all values of A from A = Z to A = 4Z to find the mass number (4) that has the
largest binding energy per nucleon (BEN). If the user enters invalid atomic number that is not between
1 and 118, the program should give the user other chance to enter a valid input.
![run:
Please enter a valid atomic number (Z) [1,118]:> 0
Please enter a valid atomic number (Z) [1,118]:> -4
Please enter a valid atomic number (Z) [1,118]:> 120
Please enter a valid atomic number (Z) (1,118):> 5
Binding
Energy
A
Binding Energy
per Nucleon
5.
6.
-448.996
-226.623
=82.990
-3.778
47.111
-89.799
-37.771
-11.856
-0.472
5.235
6.423
8.
6.
64.228
70.245
55.009
35.952
1.794
-32.682
6.386
12
13
14
4.584
2.766
0.128
-2.179
-4.927
-7.262
-9.869
-12.069
-14.457
15
16
17
-78.825
-123.453
-177.641
-229.307
-289.143
18
19
20
The most stable nucleos has a mass number 10
BUILD SUCCESSFUL (total time: 10 seconds)
Figure 1: Sample run of the program
O H2m456 N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd476f98-9819-4ab6-b65f-61551ccab8fa%2F1fe82e42-7697-466d-8701-b4bde800d3ef%2Fzt1os3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:run:
Please enter a valid atomic number (Z) [1,118]:> 0
Please enter a valid atomic number (Z) [1,118]:> -4
Please enter a valid atomic number (Z) [1,118]:> 120
Please enter a valid atomic number (Z) (1,118):> 5
Binding
Energy
A
Binding Energy
per Nucleon
5.
6.
-448.996
-226.623
=82.990
-3.778
47.111
-89.799
-37.771
-11.856
-0.472
5.235
6.423
8.
6.
64.228
70.245
55.009
35.952
1.794
-32.682
6.386
12
13
14
4.584
2.766
0.128
-2.179
-4.927
-7.262
-9.869
-12.069
-14.457
15
16
17
-78.825
-123.453
-177.641
-229.307
-289.143
18
19
20
The most stable nucleos has a mass number 10
BUILD SUCCESSFUL (total time: 10 seconds)
Figure 1: Sample run of the program
O H2m456 N
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