Decrease of velocity of the α particles in passing through matter. Some experiments were made to determine the velocity of the α particles from radium C after passing through known thicknesses of aluminium. The previous apparatus was employed, and the distance between the photographic bands was observed for successive layers of aluminium foil, each ·00031 cms. thick, placed over the active wire. The photographic plate was placed 2 cms. above the slit, and the magnetic field extended 1 cm. below the slit. The amount of deviation of the rays is inversely proportional to their velocity after traversing the aluminium screens. The impressions on the plate were clear and distinct, and about the same in all cases, showing that the rays were still homogeneous after passing through the aluminium.
A clear photographic impression was obtained for 12 layers of foil, but it was not found possible to obtain any effect through 13 layers. This result shows that the photographic action of the rays, like the ionizing action, ceases very abruptly.
The results obtained are shown in the following table. Assuming that the value of e/m is constant, the third column gives the velocity of the α particles after traversing the aluminium. This is expressed in terms of V₀, the velocity of the α particle when the screens are removed.
| Number of layers of aluminum foil | Distance between bands on the plate | Velocity of α particles |
|---|---|---|
| 0 | 1·46 mms. | 1·00 V ₀ |
| 5 | 1·71 „ | ·85 „ |
| 8 | 1·91 „ | ·76 „ |
| 10 | 2·01 „ | ·73 „ |
| 12 | 2·29 „ | ·64 „ |
| 13 | No photographic effect |
The velocity of the α particle is thus reduced only about 36 per cent. of its initial value when it fails to produce any action on the photographic plate.
Now Bragg has shown (section 104) that the α particle produces approximately the same number of ions per cm. of path in air over its whole range. Consequently, the simplest assumption to make is that the energy of the α particle is diminished by a constant amount in traversing each layer of foil. After passing through 12 layers the kinetic energy is reduced to 41 per cent. of the maximum. Each layer of foil thus absorbs 4·9 per cent. of the maximum energy. The observed kinetic energy of the α particle after passing through successive layers of foil, and the value calculated on the above assumptions, are shown in the following table.
| Number of layers of aluminum foil | Observed energy | Calculated energy |
|---|---|---|
| 0 | 100 | 100 |
| 5 | 73 | 75 |
| 8 | 58 | 61 |
| 10 | 53 | 51 |
| 12 | 41 | 41 |
The experimental and theoretical values agree within the limits of experimental error. We may thus conclude, as a first approximation, that the same proportion of the total energy is abstracted from the α particles in passing through equal distances of the absorbing screen.