Optimization of pyrolysis tube cracking efficiency

1. A method for optimizing a cracking efficiency with which a pyrolysis tube of a deposition apparatus cracks a precursor material into reactive species, comprising:

measuring an input pressure of the pyrolysis tube;

measuring an output pressure of the pyrolysis tube;

measuring a pyrolysis temperature within the pyrolysis tube;

calculating a cracking efficiency based on the input pressure, the output pressure, and the pyrolysis temperature; and

adjusting at least one of the input pressure, the output pressure, or the pyrolysis temperature to maintain a particular cracking efficiency, wherein adjusting comprises increasing or decreasing one of the input pressure of the pyrolysis tube, the output pressure of the pyrolysis tube, or the pyrolysis temperature within the pyrolysis tube to maintain the particular cracking efficiency.

2. The method of claim 1 , further comprising:

measuring a vaporization temperature at the entrance to the pyrolysis tube, outside of the pyrolysis tube;

calculating the cracking efficiency based on the input pressure, the output pressure, the vaporization temperature, or the pyrolysis temperature.

3. The method of claim 1 , further comprising:

determining a pressure differential between the input pressure and the output pressure.

4. The method of claim 3 , further comprising:

calculating a residence time that the precursor material remains within the pyrolysis tube with the pressure differential.

5. The method of claim 4 , wherein calculating the residence time comprises employing the following formula:

Δ t=t 0 ( P 1 −P 2 ) −β ,

where Δt is the residence time, (P 1 −P 2 ) is pressure differential between the input pressure and the output pre, to is an experimentally determined pre-factor for the residence time and corresponds specifically to the pyrolysis tube and β is an experimentally determined exponent that corresponds specifically to the pyrolysis tube.

6. The method of claim 5 , wherein calculating the cracking efficiency comprises employing the following formula:

η=1 −e −λΔt ,

where η is cracking efficiency, e is Euler's number and λ is a reaction rate at which molecules of the precursor material are cracked into reactive species.

7. The method of claim 1 , further comprising identifying an adjustment to be made that comprises identifying a residence time that is at least as great as a predetermined minimum threshold residence time.

8. The method of claim 7 , further comprising identifying an adjustment to be made that comprises identifying a residence time that is at least 0.1 second.