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An interesting thing happened when Thomson put neon gas into the cathode-ray tube he observed two glowing dots on the screen instead of one Each dot corresponded to a unique charge-to-mass ratio; that is, he was able to calculate two different values for q/m Thomson concluded that different atoms of the same element could have identical chemical properties, but have different masses Each of the differing forms of the same atom, with the same chemical properties but different masses, is an isotope A device similar to Thomson s cathode-ray tube that is commonly used to study isotopes is the mass spectrometer The mass spectrometer is able to precisely measure the charge-to-mass ratios of positive ions From the charge-to-mass ratio, the mass of each isotope can be calculated The material under investigation is called the ion source, as it is used to produce the positive ions The ion source must either be a gas or a material that can be heated to form a vapor The positive ions are formed when accelerated electrons strike the gas or vapor atoms The collisions knock electrons off the atoms, forming positive ions A potential difference, V, between the electrodes produces an electric field that is used to accelerate the ions Figure 26-3 shows one type of mass spectrometer



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1 public class Twine { 2 public static void main(String[] args) { 3 String s = ""; 4 StringBuffer sb1 = new StringBuffer("hi"); 5 StringBuffer sb2 = new StringBuffer("hi"); 6 StringBuffer sb3 = new StringBuffer(sb2); 7 StringBuffer sb4 = sb3; 8 if(sb1equals(sb2)) s += "1 "; 9 if(sb2equals(sb3)) s += "2 ";

Figure 26-3 The mass spectrometer is used to analyze isotopes of an element Inside the spectrometer, a magnet causes the positive ions in a vacuum chamber to be deflected according to their mass (a) In the vacuum chamber, the process is recorded on a photographic plate or a solid-state detector (b)





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To select ions with a specific velocity, the ions first are made to pass through electric and magnetic deflecting fields, as in Thomson s cathoderay tube Ions that pass undeflected through these two fields then move into a region that is subject only to a uniform magnetic field There, the ions follow a circular path The radii of the paths can be used to determine the charge-to-mass ratios of the ions The path radius, r, for an ion can be calculated from Newton s second law of motion Bqv

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Make a ramp by placing a small ball of clay under one end of a grooved ruler Place a 6-mmdiameter steel ball about halfway up the ramp and release it 1 Observe the ball as it rolls down the ramp and along the table top 2 Experiment with the location of a strong magnet near the path of the ball on the table top Place the magnet close to the path so that it causes the ball s path to curve, but not so close that it causes the ball to collide with the magnet Repeat step 1 as needed 3 Predict what will happen to the ball s path when the ball is released from a higher or lower point on the ramp 4 Test your prediction Analyze and Conclude 5 Explain if the observed results are consistent with those for a charged particle moving through a magnetic field

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6 Given:

The velocity of an undeflected ion can be calculated from the equation for the kinetic energy of ions accelerated from rest, through a known potential difference, V KE v

This equation can be used to determine the charge-to-mass ratio of an ion Charge-to-Mass Ratio of an Ion in a Mass Spectrometer

In a mass spectrometer, the ratio of an ion s charge to its mass is equal to the ratio of twice the potential difference divided by the product of the square of the magnetic field strength and the square of the radius of the ion s circular path

As shown in Figure 26-3, in one type of mass spectrometer, the ions strike a plate of photographic film, where they leave a mark The diameter of the curved path traveled by the ions in the vacuum chamber can be easily measured because it is the distance between the mark made on the film and the slit in the electrode Therefore, the radius of the path, r, is half of this measured distance

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