decay equation

     Alpha Decay
      Protons carrying the same positive charge inside the nucleus of an atom tend to repel each 
      other. This repulsive force between protons is usually overcome by the Strong Force, which 
      keeps them bound together. However, when there are a large number of protons, the 
      electrostatic force between the protons will become so large that the Strong Force may not 
      hold the protons together, resulting in an alpha decay. An alpha particle, which is a helium 
      nucleus with 2 protons and 2 neutrons, will be emitted during the process. The radioactive
      isotope will change into another element. This could be shown by the following example:

Click here for an animated explanation.
      Note that the daughter nucleus has an [atomic number] 2 less than its [parent nucleus] and a 
      [mass number] 4 less. It is found that the total masses of the daughter nuclei and the helium
      nucleus is slightly less than the mass of the parent nucleus. By Einstein's famous equation 
      E=mc2, the loss in mass is converted into kinetic energies carried away by the decay 
      products. The energy released during this process is fixed, depending on the type of 
      radioisotope involved.


     Beta Decay 
      When an unstable nucleus decays by beta emission, a fast moving [electron](beta particle) is 
      emitted from the nucleus. But where does this electron come from? The nucleus consists 
      only of protons and neutrons, so it seems impossible to have an electron coming from the 
      nucleus. In fact, the electron comes from an unstable neutron, which transforms into a proton
      and an electron. Due to its small mass, the electron is emitted as a beta particle while the 
      heavy proton remains in the nucleus. The following shows the process of beta decay:
Click here for an animated explanation.
      As the daughter nucleus has one more proton, its atomic number increases by one. However, 
      the mass number of the daughter nucleus remain changed because the mass of the lost 
      neutron and that of the new proton is more or less the same, while the emitted beta particle 
      has negligible mass. When conservation of mass is considered, there is always a loss of 
      energy. The missing energy is due to the emission of an elementary particle called neutrino. 
      A neutrino has no charge and zero rest mass and travels at the speed of light.


   Gamma Emission

<IMG SRC="gamma.gif" WIDTH=400 HEIGHT=300 BORDER=0>

      Gamma rays are a type of [electromagnetic wave]. For complex nuclei there are many different 
      possible ways in which the neutrons and protons can be arranged within the nucleus. Gamma
      rays can be emitted when a nucleus undergoes a transition from one such configuration to 
      another. For example, this can occur when the shape of the nucleus undergoes a change, 
      implying that gamma rays can also be emitted during an alpha or beta decay. Since gamma 
      rays carry no mass or charge, they do not change the atomic number or the mass number of
      the daughter nucleus. There is no equation which can represent the gamma emission alone, 
      but an asterisk (*) written on the top right corner of the parent nucleus indicates the emission 
      of gamma ray.

      Similar to alpha decay, the amount of energy released in gamma emission from a particular 
      radioisotope is specific.

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