Radioactive Material Equations Calculator

Hazardous Waste Treatment Formulas

Solving for number of nuclei after time period
nuclei after time period


initial number of nuclei (N0)
disintegration constant (Kb)
time (t)


initial number of nuclei (N0)
= 0
= 0
disintegration constant (Kb)
= 0
= 0
time (t)
= 0
= 0


number of nuclei after time period (N)

Other Units:

Change Equation
Select to solve for a different unknown
radioactive material and nuclear waste decay
number of nuclei remaining after time periodsolve for number of nuclei remaining after time period
initial number of nucleisolve for initial number of nuclei
disintegration constantsolve for disintegration constant
time periodsolve for time period
half life
half life timesolve for half life time
disintegration constantsolve for disintegration constant
source strength
becquerelssolve for becquerels
radionuclide atomic weightsolve for radionuclide atomic weight
radionuclide masssolve for radionuclide mass
disintegration constant, inverse timesolve for disintegration constant, inverse time
quality factor
equivalent doseequivalent dose
- measures the amount of effective biological damage caused by radiation
absorbed doseabsorbed dose
- measure of the amount of energy absorbed into material
quality factorsolve for quality factor
unit conversion factors
equivalent doseequivalent dose
- SI unit is rem (roentgen equivalent man)
- US unit is sievert
absorbed doseabsorbed dose
- SI unit is rad
- US unit is gray
total radioactivitytotal radioactivity
- SI unit is becquerel
- US unit is curie
N=number of nuclei remaining after a time period
N0=initial number of nuclei
Kb and KT=disintegration constant
t1/2=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.
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