Radioactive Material Equations Formulas Calculator

Radioactive Material Equations and Formulas Calculator
Waste Treatment

Solving for Radionuclide Atomic Weight

note: Avogadro's number = N⁰ = 6.02 x 10²³ atoms/gram-atom

Inputs:

Conversions:

Solution:

radionuclide atomic weight (W)

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radioactive material and nuclear waste decay

	solve for number of nuclei remaining after time period
	solve for initial number of nuclei
	solve for disintegration constant
	solve for time period

half life

	solve for half life time
	solve for disintegration constant

source strength

	solve for becquerels
	solve for radionuclide atomic weight
	solve for radionuclide mass
	solve for disintegration constant, inverse time

quality factor

	equivalent dose - measures the amount of effective biological damage caused by radiation
	absorbed dose - measure of the amount of energy absorbed into material
	solve for quality factor

unit conversion factors

	equivalent dose - SI unit is rem (roentgen equivalent man) - US unit is sievert
	absorbed dose - SI unit is rad - US unit is gray
	total radioactivity - SI unit is becquerel - US unit is curie

Where

N	=	number of nuclei remaining after a time period
N₀	=	initial number of nuclei
K_b and K_T	=	disintegration constant
t_1/2	=	half life time of radionuclide
Q	=	total radioactivity or source strength
N⁰	=	Avogadro's number, 6.02 x 10²³ atom/gram-atom
W	=	atomic weight

References - Books:
1) P. Aarne Vesilind, J. Jeffrey Peirce and Ruth F. Weiner. 1994. Environmental Engineering. Butterworth Heinemann. 3rd ed.