The London, Edinburgh and Dublin philosophical magazine and journal of science . the molecules (at least of the absorbing mole-cules) do not vary continuously according to Maxwells orany similar law of distribution. Hence it readily suggests-itself to try with hypotheses from the quantum-theory, andthis Bjerrum has in fact done in his above-mentioned starts—as Ehrenfest does later on—from a distributionof the rotation-energy according to quanta and puts ~(27TZ/) = 71. , (1) where I is the molecules moment of inertia, n a wholenumber,, and h Plancks constant. From this we get v —
The London, Edinburgh and Dublin philosophical magazine and journal of science . the molecules (at least of the absorbing mole-cules) do not vary continuously according to Maxwells orany similar law of distribution. Hence it readily suggests-itself to try with hypotheses from the quantum-theory, andthis Bjerrum has in fact done in his above-mentioned starts—as Ehrenfest does later on—from a distributionof the rotation-energy according to quanta and puts ~(27TZ/) = 71. , (1) where I is the molecules moment of inertia, n a wholenumber,, and h Plancks constant. From this we get v — n^ 2j ; that is to say that when I is constant v can only have certain fixed values, which forman arithmetical progression with the constant difference =? h 27T2f * the Rotation-Energy of Molecules. 79 Bjerrum found, too. that the water-vapour bands between10 and 20 //, determined by Rubens and Aschkinass* (Table 3) form such an arithmetical progression, and he assumed,therefore, that these bands also are caused directly by themolecules rotation. Fig. 1600 1700 But on referring to the curve in fig. 2, or to the valuescalculated from this curve in Table II. (cols. 1 and 2), we findat once that a simple arithmetical progression is out of thequestion. The positions of the determined maxima seem tobe very irregularly distributed. A. Bucken f, however, hasattempted to arrange these calculated values in two arith-metical progressions, of which the one is a continuation ofthe above-mentioned series with a constant frequency-difference A = l73xl012, and the other a series with thedifference 0*75 x 1012. According to Eucken these two seriesmay be explained by the lack of symmetry of the molecules,which, he says, may result in the rotation-energys beingdivided between two chief moments of inertia. * Rubens u. Aschkinass, Wied. Ann. lxiv. p. 584 (1898).t A. Eucken, Verh. d, Ges. xv. p. 1159 (1913). SO Dr. Eva von Bahr on the Quantum-theory and The wave-len
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