Simulate 2,010°C Czochralski pulling in pure iridium crucibles, 0.8 µm sub-micron X-ray micro-CT imaging screens, high radiation stopping density (6.73 g/cm³), fast decay kinetics, and 20-year cleanroom fab economics.
| Year | Revenue | OpEx | Depr. | Tax | FCF | Cum. Cash | Disc. FCF |
|---|
Maximum photon output per unit absorbed energy $E_{\gamma}$:
where $\beta \approx 2.5$, bandgap $E_g = 7.3\,\text{eV}$, transfer efficiency $S \approx 0.85$.
Fraction of absorbed photon flux across screen thickness $t$:
where $\mu \approx 606\,\text{cm}^{-1}$ at $20\,\text{keV}$ due to high density ($6.73\,\text{g/cm}^3$) and $Z_{\text{eff}} = 63$.
Single-crystal optical imaging limit without grain scatter:
delivering sub-micron synchrotron phase-contrast imaging.
Parity-allowed dipole $5d \to 4f$ transition relaxation:
yielding $\tau \approx 55\,\text{ns}$ for Ce³⁺ ($535\,\text{nm}$) and $\tau \approx 19\,\text{ns}$ for Pr³⁺ ($310\,\text{nm}$).
Model Lu₂₋ₓYₓSiO₅:Ce Czochralski growth in iridium, 41 ns fast decay, and medical PET scanners.
Model Gd₃Al₂Ga₃O₁₂:Ce Czochralski growth, high light output (56k ph/MeV), and Compton cameras.
Model Bridgman growth in graphite, 0.8 ns sub-nanosecond cross-luminescence, and deep-VUV optics.
Model YAlO₃ Czochralski growth at 1,870°C, 27 ns ultra-fast YAP:Ce scintillation timing, and polarized lasers.
Model 800 nm femtosecond velocity-matched optical rectification, electro-optic sampling, and THM growth.