radioactive_decay_kernel

deep_causality_physics

Function radioactive_decay_kernel 

Source 
pub fn radioactive_decay_kernel(
    n0: &AmountOfSubstance,
    half_life: &HalfLife,
    time: &Time,
) -> Result<AmountOfSubstance, PhysicsError>
Expand description

Calculates the remaining amount of a radioactive substance: $N(t) = N_0 \cdot 2^{-t / t_{1/2}}$.

This kernel models the exponential decay of a quantity over time based on its half-life. The decay follows the standard determining equation: $$ N(t) = N_0 e^{-\lambda t} $$ where $\lambda = \frac{\ln(2)}{t_{1/2}}$.

§Arguments

  • n0 - Initial amount of substance $N_0$ (moles, particles, or activity).
  • half_life - The time $t_{1/2}$ required for the quantity to reduce to half its initial value.
  • time - The elapsed time interval $t$.

§Returns

  • Ok(AmountOfSubstance) - The remaining amount of substance $N(t)$.

§Errors

  • Singularity - If half_life is zero (infinite decay rate).