The difference of potential between the cathode and the negative glow is
called the "cathode potential fall" and is found to be constant for wide
variations in the pressure of the gas and the current passing through.
It increases, however, considerably when the current through the gas
exceeds a certain critical value, depending among other things on the
size of the cathode. This cathode fall of potential is shown by
experiment to be very approximately equal to the minimum potential
difference. The following table contains a comparison of the
measurements of the cathode fall of potentials in various gases made by
Warburg (_Wied. Ann._, 1887, 31, p. 545, and 1890, 40, p. 1), Capstick
(_Proc. Roy. Society_, 1898, 63, p. 356), and Strutt (_Phil. Trans._,
1900, 193, p. 377), and the measurements by Strutt of the smallest
difference of potential which will maintain a spark through these gases.
+---------+-----------------------------------------+-----------------+
| | Cathode fall in Volts. |Least potential |
| Gas. +-----------------------------+-----------+ difference |
| | Platinum Electrodes. |Aluminium | required to |
| | |Electrodes.|maintain a Spark.|
+---------+-----------+---------+-------+-----------+-----------------+
| | Warburg. |Capstick.|Strutt.| Warburg. | Strutt. |
+---------+-----------+---------+-------+-----------+-----------------+
|Air | 340-350 | .. | .. | .. | 341 |
|H2 | about 300 | 298 | .. | 168 | 302-308 |
|O2 | .. | 369 | .. | .. | .. |
|N2 |230 if free| 232 | .. | 207 | 251 |
| |from oxygen| | | | |
|Hg vapour| 340 | .. | .. | .. | .. |
|Helium | .. | .. | 226 | .. | 261-326 |
|H2O | .. | 469 | .. | .. | .. |
|NH3 | .. | 582 | .. | .. | .. |
+---------+-----------+---------+-------+-----------+-----------------+
Thus in the cases in which the measurements could be made with the
greatest accuracy the agreement between the cathode fall and the minimum
potential difference is very close. The cathode fall depends on the
material of which the terminals are made, as is shown by the following
table due to Mey (_Verh. deutsch. physik. Gesell._, 1903, 5, p. 72).
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