Consider the electron ionization source what do you think wo

Consider the electron ionization source, what do you think would be the effect of decreasing the voltage between the filament and the target? What effect would using an unheated filament have?

(a) What would be the velocity of an imidazolium ion (C₃H₄N₂⁺) if it were accelerated across a voltage of 22.3 kV?

(b) What voltage would be needed to accelerate an imidazolium ion (C₃H₄N₂⁺) to a velocity of 4.2 × 10⁵ m/s?

Solution

Answer:

a) We know that KE=1/2 mV2= e*V=106*10^-19*22300 Thus velocity v=2KE/m=2*1.6*10^-19*22300/6.8*10-27=1.014*10^11 m/sec

b) 1/2 mV2=e*V thus V=1/2 mV2/e=68*10^-8*0.5*4.2*4.2*10^ V=37.485 kV