The
radiative transition probability is a fundamental property
for optical transitions. Extensive research, theoretical and experimental,
has been conducted to establish the relation between the photonic
environment and electric dipole (ED) transition probabilities. Recent
work shows that the nanocrystal (NC)-cavity model accurately describes
the influence of the refractive index n on ED transition
rates for emitters in NCs. For magnetic dipole (MD) transitions, theory
predicts a simple n3 dependence. However,
experimental evidence is sparse and difficult to obtain. Here we report
Eu3+-(with distinct ED+MD transitions) and Gd3+-(MD transitions) doped β-NaYF4 NC model systems
to probe the influence of n on ED and MD transition
probabilities through luminescence lifetime and ED/MD intensity ratio
measurements. The results provide strong experimental evidence for
an n3 dependence of MD transition probabilities.
This insight is important for understanding and controlling the variation
of spectral distribution in emission spectra by photonic effects.