2.1 New semi empirical formula for of mass attenuation and energy absorption coefficients
Most of the tissues of human organs consisting of elements such as H, C, N, O ,Ca ,P, Na, Mg, S, CI ,K ,Fe and I in their elemental composition. We have studied the variation of mass attenuation and energy absorption coefficients with atomic number at different energies for the elements which are constitutes of tissues of human organs. It has been proposed the empirical relations for mass attenuation and energy absorption coefficients interms of atomic number and energy for the elements such as H, C, N, O ,Ca ,P, Na, Mg, S, CI ,K ,Fe and I.
For energy 1keV-20MeV, the proposed relation between mass attenuation coefficient (μ/ρ), energy (E) and atomic …show more content…
i=0 i=1 i=2 i=3 i=4 αi 10757.14872 - 3540.820395 398.4373505 -4.461736803 0 βi - 3.343463789 6.12684539•10-2 - 2.825112754•10-3 4.967048249•10-5 0 δi 0.4320534583 - 8.406094275•10-2 8.3504118•10-3 - 3.691850298•10-4 5.714514667•10-6 here φi , ψi and χi are fitting parametrs which are given in the table. Φi Ψi Χi i=0 - 6183.518517 - 3.356499096 3.445436562•10-1 i=1 9775.049268 + 5.501861004•10-2 …show more content…
To establish the exact relation between effective atomic number and composition, we have introduced new parameter called effective composition index (Ceff). In general, it is the ratio of the sum of the product of composition and atomic weight of elements in large proportion to one plus sum of the product of composition and atomic weight of remaining elements. The major elements present in the tissues of human organs are H,C,N and O. Thus effective composition index (Ceff) for tissues of human organ is defined as the ratio between the sum of the product of composition and atomic weight of H,C,N and O to one plus sum of the product of composition and atomic weight of remaing elements in the
Most of the tissues of human organs consisting of elements such as H, C, N, O ,Ca ,P, Na, Mg, S, CI ,K ,Fe and I in their elemental composition. We have studied the variation of mass attenuation and energy absorption coefficients with atomic number at different energies for the elements which are constitutes of tissues of human organs. It has been proposed the empirical relations for mass attenuation and energy absorption coefficients interms of atomic number and energy for the elements such as H, C, N, O ,Ca ,P, Na, Mg, S, CI ,K ,Fe and I.
For energy 1keV-20MeV, the proposed relation between mass attenuation coefficient (μ/ρ), energy (E) and atomic …show more content…
i=0 i=1 i=2 i=3 i=4 αi 10757.14872 - 3540.820395 398.4373505 -4.461736803 0 βi - 3.343463789 6.12684539•10-2 - 2.825112754•10-3 4.967048249•10-5 0 δi 0.4320534583 - 8.406094275•10-2 8.3504118•10-3 - 3.691850298•10-4 5.714514667•10-6 here φi , ψi and χi are fitting parametrs which are given in the table. Φi Ψi Χi i=0 - 6183.518517 - 3.356499096 3.445436562•10-1 i=1 9775.049268 + 5.501861004•10-2 …show more content…
To establish the exact relation between effective atomic number and composition, we have introduced new parameter called effective composition index (Ceff). In general, it is the ratio of the sum of the product of composition and atomic weight of elements in large proportion to one plus sum of the product of composition and atomic weight of remaining elements. The major elements present in the tissues of human organs are H,C,N and O. Thus effective composition index (Ceff) for tissues of human organ is defined as the ratio between the sum of the product of composition and atomic weight of H,C,N and O to one plus sum of the product of composition and atomic weight of remaing elements in the