Recall that a power relationship is given by:

We discovered from our log plots that:

Applying this to our power relation yields:
. Voltage Gain . Now we finally have a relationship between voltage and gain for our ten stage photomultiplier tube:

How well does this relationship describe our data? Given a certain voltage, does this relationship yield our measured gain perfectly? within 5%? within 10%? Do you think this is reasonable?

Does this relationship work for any photomultiplier tube? Or if not, can we develop a relationship between voltage and gain for any photomultiplier tube?

Let's look back at our three stage photomultiplier!
1000V 9823
1100V 23746
1200V 57278
1300V 135416
1400V 286889
1500V 555437
1600V 1017120
1700V 1982212
1800V 3405647
1900V 5730217
2000V 9765623