How is the decay constant, lambda, related to the half-life, t(1/2)?

1. The decay constant lambda controls how quickly the exponential decay curve falls. 2. It is calculated as approximately 0.693 divided by the half-life. 3. Dividing the half-life by 0.693 inverts this relationship incorrectly. 4. Multiplying the half-life by 2, or treating lambda as unrelated to half-life, both contradict the defining equation. 5. So lambda equal to about 0.693 divided by the half-life is correct. _Source: OpenStax Physics (CC BY 4.0), Ch 22 "The Atom", section 22.3 Half Life and Radiometric Dating_