Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Exponential Decay

Exponential decay is the decrease in the amount of a substance at a rate proportional to its current value.

The remaining fraction of the number of particles equals the exponential of the decay constant times time. The decay constant equals the logarithm of 2 divided by the half-life of the particles.

Formula

{QuantityVariable["N"/Subscript["N", "0"], "Unitless"] == E^(-(QuantityVariable["T", "Time"]*QuantityVariable["λ", "Radioactivity"])), QuantityVariable["λ", "Radioactivity"] == Log[2]/QuantityVariable[Subscript["t", "1/2"], "HalfLife"]}

symbol description physical quantity
N/N0 remaining fraction of number of particles "Unitless"
T time "Time"
λ decay constant "Radioactivity"
t1/2 half­life "HalfLife"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Exponential Decay"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Exponential Decay"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Exponential Decay"], {QuantityVariable["T","Time"] -> Quantity[1, "Seconds"], QuantityVariable["\[Lambda]","Radioactivity"] -> None}]
Out[3]=

Publisher Information