Theoretical Investigation of Tenth-Value Thicknesses of Aluminium Absorbers

The half-value thickness (HVT) and the tenth-value thickness (TVT) are used to determine the strength of radiation shielding. The HVT and TVT are the thickness of an absorber sample that will reduce the initial radiation intensity to one-half and one-tenth, respectively. These can be calculated as HVT = ln2/mu(m) and TVT = ln10/mu(m), using the solution of the standard dI/dx =-mu(m)x attenuation equation. Here, mu(m) and I are mass attenuation coefficient and radiation intensity, respectively. in this study, the intensity of beta particle that pass through aluminium (Al) absorber has been measured using different isotopes experimentally. An inconsistent has been seen between the TVT values that calculated using standard mathematic and experimental TVT values. To overcome this discrepancy, the standard attenuation equation has been redefined using fractional calculus and resolved. The fractional TVT values consistent with experimental TVT values have been calculated for the suitable fractional derivative orders.