E-CodeFour-factor formula and criticality — a TI-84 Plus CE program
FOURFACT is a TI-BASIC program for the TI-84 Plus CE. k-infinity from eta, f, p and epsilon; one-group k-effective for a sphere, cylinder or slab from its geometric buckling; reactivity and the critical size.
What it asks for and what it shows
It asks for 6 values at its prompts, after you pick option 1 from its menu. In the example below it shows KINF, BUCKL, KEFF, RHO PCM, CRIT CM, SUPERCRITICAL.
Example run
One of its oracle test cases: “sphere, above critical size”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Menu | option 1 |
| Input 1 | 1.65 |
| Input 2 | 0.92 |
| Input 3 | 0.87 |
| Input 4 | 1.03 |
| Input 5 | 2.5 |
| Input 6 | 30 |
| The screen shows | |
KINF= | 1.3602798 |
BUCKL= | 0.01096622711 |
KEFF= | 1.273027847 |
RHO PCM= | 21447.1229 |
CRIT CM= | 13.08 |
| Text | SUPERCRITICAL |
How it's checked
7 test cases, each checked against the textbook formula it uses. Replayed key by key on a virtual TI-84 Plus CE, they make 51 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 “Four-factor formula and criticality” (FOURFACT).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Point reactor kinetics, step reactivity
- Neutron moderation: xi and collisions
- Neutron diffusion: critical size, flux
- Radioactive decay chain (Bateman)
- Gamma shielding and dose geometry
All TI-84 Plus CE engineering programs · All TI-84 Plus CE programs