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The change in internal energy of molecules upon collisions has been analysed. Formulae, (26) to (27-C), for the effective cross section of inelastic collisions have been obtained as functions of known properties of the molecules, subject to certain conditions. These conditions are: the atoms which come into contact during collision must belong to the first row of the periodic table; the vibrational quantum numbers which suffer a change must be small. Vibrational quantum numbers have a marked reluctance to change during collisions at room temperature. The probability that a N₂ molecule in its first excited vibrational state transfer its energy to He in a head on collision is 0. 0^76. The probability that another N₂ molecule absorb this energy is 0. 0^44. A lack of resonance of 0. 01 volt can decrease the effective cross section by a factor of 0. 02. Rotational quantum numbers change readily except in unusual cases.
Clarence Zener (Sun,) studied this question.