How to Produce Trans-Uranic Elements By Particle Bombardment

Trans-uranic elements

Uranium has the highest atomic number of any naturally occurring element and was, for a long time, placed at the end of the periodic classification of element. Trans-uranic elements have, however, now been prepared by nuclear reactions.

Examples of Trans-uranic Elements: The Trans-Uranic elements include, Plutonium, Neptunium, Americium, Curium, Berkelium, Californium, Einsteinium, Mendelevium, Nobelium and Lawrencium, Rutherfordium, Dubnium

 

californium with  accelerated boron ions. 

Nuclear Stability: An atomic nucleus is made up of a number of protons equal to its atomic number, plus a sufficient number of neutrons to give the necessary mass number. The protons and neutrons in a nucleus are called nucleons.

Because the nucleus of an isotope must contain a whole number of protons and neutrons it was, for a while, thought that isotopic masses, i.e. the relative atomic masses of isotopes, might all be whole numbers. This revived a hypothesis first suggested by Prout, in 1815, in which he supposed that every atom was made up of hydrogen atoms.

Careful measurement, by mass spectrographic methods, show, however, that relative isotopic masses, on the 12C scale, are not exactly whole numbers. Some illustrative figures are given below

1H  1.007825        4H  4.00260                   12C  12.00000

2H  2.01409                   7Li 7.01600                   35Cl  34.96885

 

 

These figures show how much heavier one atom of a particular isotope is than     t    of an atom of 12C. The actual mass of a 12C atom is readily obtained, for 12 gramme of the 12C, therefore, has a mass of 12/6.02252 x 1023 atom. One atom of 12C, therefore, has a mass of 12/6.02252 x 1023 gramme, and               of this is 1/6.02252 x 1023, 1.66043 x 10-27 kg. this mass is often referred to as an atomic mass unit, the actual mass of any one atom being equal to its relative e isotopic mass multiplied by the value of the atomic mass unit.

For an isotope, the nearest whole number to its  is known as the mass number. The slight difference between the actual relative isotopic mass and the mass number, known as the mass defect, is due to the fact that the masses of protons and neutron in a nucleus are not strictly additive because some part of their mass is converted into energy. This energy is the binding energy which holds the nucleus together; the greater it is, the more stable will the nucleus be.

For deuterium, with a simple nucleus of one proton and one neutron, the figures are as follows. The relative isotopic mass is 2.01409, giving an actual mass of 3.4426 x 10-27 kg. The mass of the nucleus will be 3.34426 x 10-27 kg. the deuterium nucleus consists of one proton of mass 1.67252 x 10-27 kg, and one neutron of mass 1.67482 x 10-27 kg, giving an additive mass of 3.34734 x 10-27kg.

The mass converted into energy, for a deuterium nucleus, to be formed, must, therefore, be (3.34734-3.34335) x 10-27 kg, i.e. 0.00399 x 10-27 kg. This is equivalent to a bonding energy of 3.583 x 10-13 joule or 2.238 MeV

In general, for a nucleus containing Z protons, and with a mass number of A, the number of neutrons will be (A-Z). If the mass of the proton is p, that of the neutron n, and that of the actual nucleus M, the mass converted into energy will be given by

Zp+ (A-Z)n-M

And this can be converted into energy units as explained below.

Note on units. When mass is converted into energy, the two are related by the equation

E       =                 m                x                 c2

(in joules)       (in kilograms)      (c in metres per second)

The value of c2 is approximately 8.99 x 1016         joule of energy

One electron volt (1 eV), which is the energy acquired or lost by a particle of unit electronic charge on passing through a potential difference of 1 volt, is equal to 1.602 x 10-19         joule, so that

1kg of mass = (8.99 x 1016)/(1.602 x 10-19)eV

                   =5.613 x 1035 eV

                   =9.613 x 1029 MeV

The unit of atomic mass is 1.66043 x 10-27 kg so that

1 atomic mass unit (amu) = 8.99 x 1016 x 1.66043 x 10-27J

                                      = 1.494 x 10-10 J

                                      = 9.328 x 108 eV

                                      = 932.8 MeV

The figures given here are only approximate to show the relationship between the various units.

 

1 thought on “How to Produce Trans-Uranic Elements By Particle Bombardment

  1. Trans-uranic elements have found applications in nuclear physics and chemistry. These elements are often deployed in the production of nuclear materials and explosives. The study of trans-uranic elements continues to open new frontiers in nuclear power generation and studies of climate change.

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