Structure of an Atom and Mass Spectrum
Senior 4 · Chemistry
Structure of an Atom and Mass Spectrum
Lesson 1 of 4
25 min
Switch on a fluorescent tube in a classroom and, for a moment, it flickers before it lights. Inside the glass is a gas at low pressure. A high voltage between the two ends drags a stream of tiny charged particles through that gas, and when they strike the coating on the glass, it glows. In the late nineteenth century, physicists studied exactly this kind of glow in sealed glass tubes. What they found broke Dalton's idea that the atom cannot be divided. In about 35 years, from 1897 to 1932, the electron, the nucleus, the proton and the neutron were all discovered. This lesson follows the evidence, because at A-level you must be able to say not only what is inside an atom, but how we know.
Definition
Subatomic particle: a particle smaller than an atom. The three that build every atom are the electron, the proton and the neutron.
Cathode rays: the stream of particles that leaves the negative electrode (the cathode) of a discharge tube when a high voltage is applied across a gas at very low pressure. They are electrons.
In a discharge tube the air is pumped out until the pressure is a tiny fraction of atmospheric pressure, and several thousand volts are applied between a metal cathode (−) and an anode (+). The glass opposite the cathode then glows green. Experiments with such tubes showed four things:

In 1897, J. J. Thomson in Cambridge passed the beam between two charged plates and also through a magnetic field, and balanced one deflection against the other. From the sizes of the fields he found the charge-to-mass ratio of the particles, . It was about 1800 times larger than the charge-to-mass ratio of a hydrogen ion, the lightest ion known. Either the particles carried a huge charge, or they were far lighter than any atom. Thomson concluded that they were tiny particles from inside the atom; they were later named electrons. Figure 1.1 shows the principle of his tube.

Between 1909 and 1913 Robert Millikan measured the charge on tiny charged oil drops, balancing the downward pull of gravity on each drop with an upward electric force. Every charge he measured was a whole-number multiple of one smallest value, . This is the charge of a single electron. Combined with Thomson's ratio, it gives the electron's mass (Worked example 1).
If atoms contain negative electrons but are neutral overall, they must also contain positive charge. Thomson suggested the "plum pudding" model: electrons scattered through a sphere of evenly spread positive charge, like raisins in a pudding.
Worked example 1: the mass of an electron
The charge-to-mass ratio of the electron is and its charge is . Calculate the mass of an electron, and how many times lighter it is than a proton of mass .
Solution. Rearrange :
Compare with the proton:
Answer: (3 s.f.); the electron is about 1840 times lighter than a proton. (With more precise data the ratio is 1836.)
In 1909 Hans Geiger and Ernest Marsden, working with Ernest Rutherford in Manchester, fired alpha particles (fast, positive particles from radium, each with charge +2 and about four times the mass of a hydrogen atom) at gold foil only a few hundred atoms thick. A zinc sulfide screen gave a tiny flash of light wherever a particle landed, and they counted the flashes by eye through a microscope.
The plum pudding model cannot explain the bounce-back: its positive charge is spread too thinly to turn back a heavy, fast particle. In 1911 Rutherford proposed instead that an atom's positive charge and almost all of its mass are packed into a tiny central nucleus, with the electrons moving in the mostly empty space around it. A particle that passes close to a nucleus is repelled and deflected; the rare one that heads straight at a nucleus is turned back (Figure 1.2).
Worked example 2: how empty is an atom?
A gold atom has a radius of about and its nucleus a radius of about . (a) How many times wider is the atom than its nucleus? (b) If the nucleus were a marble 1 cm across, how wide would the atom be? (c) What fraction of the atom's volume does the nucleus fill?
Solution.
(a) , so about 20 000 times wider.
(b) : the length of two football pitches.
(c) Volume goes as the cube of the radius: .
Answer: the nucleus fills about one ten-millionth of a millionth of the atom's volume, which is why most alpha particles met nothing.
The proton. In 1886 Eugen Goldstein saw rays travelling the other way in a discharge tube, through holes in the cathode. These "canal rays" or positive rays are positive ions made when electrons knock electrons off gas atoms. Their charge-to-mass ratio depends on the gas, and is largest with hydrogen. The positive particle from hydrogen, the hydrogen nucleus, was named the proton; in 1919 Rutherford showed that protons are knocked out of nitrogen nuclei by alpha particles, so protons are part of other nuclei too.
The neutron. Nuclei are heavier than their protons alone can explain: a helium nucleus has charge +2 but mass about 4. In 1932 James Chadwick bombarded beryllium with alpha particles. The beryllium gave out a very penetrating radiation that was not bent by electric or magnetic fields, yet it knocked protons out of paraffin wax with great energy. Chadwick showed that it was a stream of neutral particles with about the mass of a proton: neutrons.
Table 1.1: The three subatomic particles
| Particle | Symbol | Charge / C | Relative charge | Mass / kg | Relative mass | Where in the atom |
|---|---|---|---|---|---|---|
| proton | p | +1 | 1 | nucleus | ||
| neutron | n | 0 | 0 | 1 | nucleus | |
| electron | e | −1 | around the nucleus |
A charged particle moving between charged plates is pulled towards the plate of opposite charge. For particles entering at the same speed, the sideways deflection is proportional to the ratio . So in Figure 1.3 the electrons bend strongly towards the positive plate, the protons bend the other way and much less (same size of charge, about 1836 times the mass), and the neutrons are not deflected at all.
Worked example 3: comparing deflections
A proton, an alpha particle and a deuteron (a nucleus of one proton and one neutron) enter the same electric field at the same speed. Using relative charges and masses, put them in order of increasing deflection.
Solution. Deflection is proportional to :
Answer: the alpha particle and the deuteron are deflected equally, by half as much as the proton. All three bend towards the negative plate.
Warning
Common mistakes. (1) Electrons bend towards the positive plate; protons bend towards the negative plate. (2) The deflection depends on charge and mass: a heavier particle with the same charge is deflected less. (3) The relative mass of an electron is small, , but it is not zero.
Safety. A discharge tube runs at thousands of volts and some tubes give off X-rays. Only a teacher sets one up and switches it on; students watch from a distance and never touch the leads or the glass while it is running.
Tip
To answer "what did this experiment show?", link each observation to its conclusion: shadow → straight lines; bent towards + → negative charge; most alpha particles pass → atom mostly empty; a few bounce back → small, dense, positive nucleus; not deflected but knocks out protons → neutral particle with mass.
BackstageScience: Rutherford Gold Foil Experiment (4 min). The particle physicist Bruce Kennedy explains the experiment with a modern re-creation. Watch for what happens to most of the alpha particles, and to the few that are scattered through large angles.
Practice
Key points
Sources and credits
Quick check
A very few alpha particles bounced back from the gold foil. Which conclusion did Rutherford draw from this?