Adjust proton energy and beam current to simulate the production of Fluorine-18 (F-18) isotope in a cyclotron and predict its yield.
Principle of F-18 Isotope Production
Fluorine-18 (F-18) is a key isotope used in Positron Emission Tomography (PET) and is primarily produced in cyclotrons. The most common production method involves irradiating oxygen-18 (18O) enriched water with a proton beam to induce a nuclear reaction. This reaction is known as the 18O(p,n)18F reaction, where a proton (p) is absorbed by the 18O nucleus, and a neutron (n) is emitted, resulting in the formation of 18F.
How to Use the Simulator
This simulator helps you predict F-18 production by adjusting key parameters that influence its yield.
- Proton Energy (MeV): This is the energy of the proton beam striking the 18O target. Higher energy can increase the nuclear reaction cross-section (production efficiency) within a certain range.
- Beam Current (µA): This indicates the intensity of the proton beam emitted from the cyclotron. A higher beam current means more protons strike the target, proportionally increasing F-18 production.
Calculation Principle
F-18 production yield is primarily proportional to the beam current and the nuclear reaction cross-section at a given proton energy. This simulator estimates production based on typical yield data.
- Production Yield: Represents the activity of F-18 produced at a specific energy and beam current. (e.g., GBq/µA)
- Activity Calculation: Total activity (GBq) is calculated by multiplying the production yield by the beam current.
- Mass Conversion: Activity (Bq) is converted to mass (g) using F-18's half-life and Avogadro's number.
The main formulas are as follows:
$$A = Y \cdot I$$
$$N = \frac{A}{\lambda}$$
$$m = N \cdot \frac{M}{N_A}$$
- A: F-18 Activity (Bq)
- Y: Production Yield (GBq/µA)
- I: Beam Current (µA)
- N: Number of F-18 Atoms
- $\lambda$: Decay Constant of F-18 ($\lambda = \frac{\ln(2)}{T_{1/2}}$)
- m: Mass of F-18 (g)
- M: Molar Mass of F-18 ($\approx 18 \text{ g/mol}$)
- N_A: Avogadro's Number ($\approx 6.022 \times 10^{23} \text{ atoms/mol}$)
- T_{1/2}: Half-life of F-18 (seconds)