How Does Magnetic Field Strength Affect Ion Trajectory in a Mass Spectrometer?

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SUMMARY

The discussion focuses on calculating the magnetic field strength (B) required for chlorine ions to hit the detector in a mass spectrometer. The ions, with a mass of 35 amu and a charge of +1e, enter the spectrometer at a velocity of 3.40 x 105 m/s. The correct calculation for B is derived using the formula B = mv/(qr), where m is the mass of the ion, v is the velocity, q is the charge, and r is the radius of the semicircular path. The correct value of B is 0.0950 T, emphasizing the importance of using the radius rather than the diameter in calculations.

PREREQUISITES
  • Understanding of mass spectrometry principles
  • Familiarity with the formula B = mv/(qr)
  • Knowledge of ion mass and charge units (amu and elementary charge)
  • Basic physics concepts related to magnetic fields and forces
NEXT STEPS
  • Study the principles of mass spectrometry in detail
  • Learn about the effects of magnetic field strength on ion trajectories
  • Explore the calculation of radius in circular motion in magnetic fields
  • Investigate other factors affecting ion detection in mass spectrometers
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Students and professionals in physics, particularly those specializing in analytical chemistry or instrumentation, as well as researchers working with mass spectrometry techniques.

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A mass spectrometer, sketched below, is a device used to separate different ions. Such ions with a well-defined velocity Vo enter through a slit into a region of uniform magnetic field B, where they follow a semicircular path until they strike the detector slit above the entry slit. The distance between the entry and the detector slits is d = 1.30 m.

1. [1pt]
Chlorine ions of mass 35 amu (1 amu equals 1.66x10-27 kg), carrying a charge of +1e, enter the spectrometer with initial speed of vo = 3.40E5 meters/sec. What value of B is required for these ions to hit the detector?

Answer: Last Answer: -.095 T
Incorrect, tries 4/99.

I tried: r=mv/(qB) => B= mv/(qr)

B= (5.81 x 10^-26 kg x 3.40 x 10^5 m/s) / (1.60 x 10^-19 C x 1.30 m)
B= .0950 T

where did i go wrong?
 
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If I'm picturing the situation right, d = 1.30 m is the diameter. The radius is explicitly needed in your equations.
 

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