Articles you may be interested inHigh efficiency fluorescent excimer lamps: An alternative to mercury based UVC lamps Rev. Sci. Instrum. 84, 123108 (2013); 10.1063/1.4842296 Divergence in Møller-Plesset theory: A simple explanation based on a two-state modelThe magnetic quenching of fluorescence in intermediate case molecules is modeled by including two triplet manifolds ͕͉b j ͖͘ and ͕͉c j ͖͘ mutually shifted by the zero-field splitting E gap ͑though a triplet has three spin sublevels͒; the ͕͉b j ͖͘ are coupled to a bright singlet state ͉s͘ by intramolecular interaction V and the two manifolds are coupled by a magnetic field. For the two manifold Bixon-Jortner model where the level spacings and the couplings to ͉s͘ are constant and no spin-vibration interactions exist ͑the Zeeman interaction connects only the spin sublevels of the same rovibronic level j͒, there are two sets of field dressed eigenstates, ͕͉b j ͖͘ and ͕͉ĉ j ͖͘, of the background Hamiltonian HϪV. ͉b j ͘ and ͉ĉ j ͘ are liner combinations of ͉b j ͘ and ͉c j ͘. We call the energy structure ''eclipsed (E)'' when the two sets of dressed states overlap in energy and call it ''staggered (S)'' when every ͉b ͘ state is just between two adjacent ͉ĉ ͘ states. The E and S structures alternatively appear with increasing Zeeman energy h Z . As h Z increases, the number of effectively coupled background levels, N eff , increases for the S structure but remains unchanged for the E structure. The S structure is in accord with the experimental result that the quantum yield is reduced to 1/3 at anomalously low fields ͑h z /E gap Ӷ1͒: in the far wing regions of the absorption band the mixing between the manifolds is determined by the ratio h Z /E gap , but near the band center the intermanifold mixing is enhanced by the presence of ͉s͘. Using a random matrix approach where H is constructed of the rotation-vibration Hamiltonians H B and H C arising from the manifolds ͕͉b j ͖͘ and ͕͉c j ͖͘, we show that an S structure can be formed in real molecules by nonzero ⌬H BC ϵH B ϪH C ϪE gap ͑E gap is the zero-field splitting at the equilibrium nuclear configuration͒. Indirect spin-vibration interactions lead to ⌬H BC 0; the vibrational ⌬H BC caused by spin-spin and vibronic interactions and the rotational ⌬H BC caused by spin-rotation and rotation-vibration interactions. The matrix elements of H are written down in terms of the eigenfunctions ͕͉ j͖͘ of the average Hamiltonian (H B ϩH C )/2. If the vibrational modes are strongly coupled ͑the energies of levels are given by a Wigner distribution and the coupling strengths are given by a Gaussian distribution͒, the vibrational ͗ j͉⌬H BC ͉ jЈ͘ for wave functions of roughly the same energy are Gaussian random. As the rms of ͗ j͉⌬H BC ͉ jЈ͘ approaches the average level spacing ͑on excitation into higher vibrational levels͒, the efficiency of magnetic quenching becomes as high as in the S case. Nonzero ͗ j͉⌬H BC ͉ jЈ͘ let isoenergetic levels belonging to different manifolds vibrationally overlap: the ⌬H BC , together with the magne...