E-CodeRadioactive decay chain (Bateman) — a TI-84 Plus CE program
DECAYCH is a TI-BASIC program for the TI-84 Plus CE. Parent and daughter activity after any time, the daughter-to-parent ratio, the time of maximum daughter activity, and the kind of equilibrium reached.
What it asks for and what it shows
It asks for 4 values at its prompts. In the example below it shows A PAR, A DAU, RATIO, T MAX, TRANSIENT EQ.
Example run
One of its oracle test cases: “Mo-99 -> Tc-99m (transient), hours”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Input 1 | 66 |
| Input 2 | 6 |
| Input 3 | 1000 |
| Input 4 | 24 |
| The screen shows | |
A PAR= | 777.2031409 |
A DAU= | 786.173455 |
RATIO= | 1.011541788 |
T MAX= | 22.83224868 |
| Text | TRANSIENT EQ |
How it's checked
6 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 38 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-84 Plus CE calculator and pick “Radioactive decay chain (Bateman)” (DECAYCH).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Four-factor formula and criticality
- Point reactor kinetics, step reactivity
- Gamma shielding and dose geometry
- Neutron moderation: xi and collisions
- Reactor decay heat after shutdown
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs