In their seminal
description of magnetic field effects on chemiluminescent
fluid solutions, Atkins and Evans considered the spin-dependent interactions
between two triplets, incorporating the effects of the diffusion of
the molecules in the liquid phase. Their results, crucial for the
advancement of photochemical upconversion, have received renewed attention
due to the increasing interest in triplet–triplet annihilation
for photovoltaic and optoelectronic applications. Here we revisit
their approach, using a modern formulation of open quantum system
dynamics and extend their results. We provide corrections to the theory
of the magnetic field response of the fluorescent triplet pair state
with singlet multiplicity. These corrections are timely, as improvements
in the precision and range of available experimental methods are supported
by the determination of quantitatively accurate rotational and interaction
model parameters. We then extend Atkins and Evans’ theory to
obtain the magnetic field response of triplet pair states with triplet
and quintet multiplicity. Although these states are not optically
active, transitions between them are becoming imperative to study
the working mechanism of spin-mediated upconversion and downconversion
processes, thanks to advances in electron spin resonance and time-resolved
transient absorption spectroscopy.