For D2, " I = 1 " and thus there are six symmetric functions, which go with the even " J " levels to produce an overall symmetric wavefunction, and three antisymmetric functions that must go with odd " J " rotational levels to produce an overall even function.
12.
The Raman spectrum observed by Rasetti provided the first experimental evidence that this proton-electron model of the nucleus is inadequate, because the predicted half-integral spin has as a consequence that transitions from odd rotational levels would be more intense than those from even levels, due to nuclear spin isomerism as shown by Herzberg and Heitler for dihydrogen.
13.
Dioxygen is a special case as the molecule is paramagnetic so magnetic-dipole-allowed transitions can be observed in the infrared . so that each rotational level is split into three states with total angular momentum ( molecular rotation plus electron spin ) \ mathrm { J \ hbar } \,, J = N + 1, N, and N-1, each J state of this so-called p-type triplet arising from a different orientation of the spin with respect to the rotational motion of the molecule.
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