Lezius has described a B-TOF mass spectrometer, presented the theoreticalbackground for

Chapter 11, Problem 11-12

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Lezius has described a B-TOF mass spectrometer, presented the theoreticalbackground for the instrument, and provided early experimental results."(a) What is a B-TOF mass spectrometer?(b) Explain how the instrument works.(c) For what types of experiments is the instrument useful?(d) Define the term start-up energy.(e) The deflection velocity .ie of an ion in the flight tube is given by. qdBx=--mwhere q = ze, and Band m have their usual significance, and d, shown inFigure I of the paper, is the width of the magnetic field region. The deflectionvelocity is the component of the velocity perpendicular to the initialflight path of the ion. Derive this expression. What is curious about thedeflection velocity?(f) Show that the deflection x of the ion perpendicular to the initial flight pathof the ion is given byqdBx = (l+ dl2)---mvcosawhere I is the distance traveled by an ion in its initial direction along the axisof the spectrometer after it leaves the magnetic field region, and v is the velocityof the ion along the deflected path. Why are the distances x and I importantin the B-TOF experiment?(g) The time of flight tMD of an ion to traverse the distance I from its exit fromthe magnetic field is given byItMD =J2~o, -.ie'What is E,o,O There is an error in equation 6 of the paper. Find and explainthe error.(h) Using the conservation of energy, derive the expression in (g).(i) For small deflection angles, cos a = 1. What are the consequences of thiscondition for ions of the same charge and massO(j) Look up some typical values for E,o,' I, and v, and USeExcel to calculate typicalvalues for tMD for a realistic range of values for m. Produce a plot of 1\10