Analyze pair annihilation outputs with practical input fields. See photon energy, wavelength, frequency, and totals. Download clean reports, inspect formulas, and follow simple steps.
| Pairs | Positron KE (keV) | Electron KE (keV) | Efficiency (%) | Time (s) | Total Event Energy (keV) | Photon Energy (keV) |
|---|---|---|---|---|---|---|
| 1000000 | 50 | 50 | 100 | 1 | 1122 | 561 |
| 250000 | 100 | 20 | 80 | 2 | 1142 | 571 |
| 50000 | 0 | 0 | 95 | 0.5 | 1022 | 511 |
This calculator uses a standard two photon annihilation model.
Assumption: the released energy is shared equally by two photons.
Positron electron annihilation happens when matter meets antimatter. A positron is the electron’s antiparticle. When both particles meet, their mass can convert into gamma ray energy. This calculator estimates that released energy. It also shows photon count, photon wavelength, photon frequency, converted mass, and average power during a chosen time window.
An electron has a rest mass energy of 511 keV. A positron has the same rest mass energy. When one electron and one positron annihilate at rest, the event releases 1022 keV in total. In the simplest case, two photons share that energy equally. Each photon then carries 511 keV. This page uses that standard physics relation as the core calculation.
Real particles may move before annihilation. Their kinetic energy adds to the final energy budget. This calculator lets you enter positron kinetic energy and electron kinetic energy in keV. It then adds both values to the 1022 keV rest energy. Under the symmetric two photon assumption, the total is divided equally between the photons. That makes wavelength shorter and frequency higher.
The tool returns effective annihilated pairs, total emitted photons, energy per photon, total released energy, and power over time. It also converts photon energy into joules. That lets the calculator estimate frequency with Planck’s relation and wavelength with the speed of light relation. These outputs help with radiation physics lessons, detector planning, lab checks, and fast homework verification.
This calculator is accurate for a clean educational model. It assumes direct two photon annihilation and a symmetric energy split. It does not solve full momentum conservation for moving center of mass frames. It also ignores scattering, shielding, detector efficiency, and secondary particle effects. Use it for strong estimates, concept review, and structured comparison of annihilation scenarios.
Students can test textbook values quickly. Teachers can demonstrate mass energy conversion clearly. Researchers can use it for rough first pass estimates before deeper modeling. Because the outputs are exported, the page also works well for notes, reports, and repeatable comparison tables.
It estimates energy released by positron electron annihilation. It also shows photon count, average photon energy, wavelength, frequency, converted mass, and average power for the selected time window.
One electron contributes 511 keV of rest mass energy. One positron contributes the same value. Together they provide 1022 keV before any added kinetic energy is considered.
In the standard direct annihilation model, one electron and one positron produce two gamma photons. This calculator follows that common educational case for clean and fast estimates.
Yes. Any entered positron or electron kinetic energy is added to the rest energy budget. That raises total event energy and increases the average photon energy in this symmetric model.
No. It is 511 keV only when annihilation happens at rest and no extra kinetic energy is added. Moving particles increase the total energy available to the photons.
It represents the percentage of entered pairs that actually annihilate in the model. Lower efficiency reduces effective pair count, photon count, total energy, converted mass, and power.
You can use it for quick first estimates and educational checks. It does not include shielding, scattering, detector geometry, or full momentum solutions for advanced experimental design.
The page assumes a symmetric two photon energy split. Real annihilation setups can involve motion, angular effects, and measurement losses that require deeper relativistic modeling.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.