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Looking for help with Time of Flight calculations to fill in table. Any assistance is greatly appreciated. Thank you kindly. Approximation of TOF for a
Looking for help with Time of Flight calculations to fill in table. Any assistance is greatly appreciated. Thank you kindly.
Approximation of TOF for a Hydrogen Atom Assume a single hydrogen atom (mass 1.66054 x 10'27 Kg) is ionized into a proton (1.602 x 10'19 C) and is subjected to an electric potential of +600V and +1300V sequentially. Under the given conditions below, estimate the time of ight for a hydrogen ion by completing the following table. The answer to this question is a good approximation of the value obtained with the experimental setup we have. Sr, S2 and 33 in the scheme below are the actual dimensions of the TOF used in this experiment. 4SlHSz-M s. _> i Positive ion ; E . detector 5 (ii'5 E : +1900V +1300V 0V 0V AV1= AV2= AV}: 0 v Wherei _ , _ , Subscripts mdrcate dierent segments in the apparatus 812 2.2cm 82: 1.8 cm 83: 19.1 cm AV: potential difference between two plates (V) XI: 1.1 cm X2: 1.8 cm X3: 191 cm E: electric potential between plates (Wm or NXC) _ _ _ I a acceielatron (us/s2) E\" E2' E3 0 V m v9: initial velocity (ID/s) a1: a2: a3: 0 m/s2 V: velocity at time t (m/ 5) v0: 0 m/s v20: v]: V30: W: S: distance between plates (cm) x distance traveled by ions (cm) v1: V2: V3: V30: t: time (sec) t1= 12: t3: Estimated T01: (sec): t1 + t2 + t3 = One dimensional kinematic equations used in the calculation of TOP are: Where : x = position of the ion (m) v : velocity of the ion (m/s) t : time ion takes to travel distance (sec) 1 x=xo+vot+ Eatz v=vu+at With the assumptions that all ions obtain the same kinetic energy before entering the drift tube, the time it takes for an ion to travel through a time-ofight tube can be determined by the equation Where : k : constant for a given experimental condition 2: number of elementary charges carried by an ionStep by Step Solution
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