  A wealth of atomistic information is contained within a self-assembled
quantum dot (QD), associated with its chemical composition and the growth
history. In the presence of quadrupolar nuclei, as in InGaAs QDs, much of this
is inherited to nuclear spins via the coupling between the strain within the
polar lattice and the electric quadrupole moments of the nuclei. Here, we
present a computational study of the recently introduced inverse spectra
nuclear magnetic resonance technique to assess its suitability for extracting
such structural information. We observe marked spectral differences between the
compound InAs and alloy InGaAs QDs. These are linked to the local biaxial and
shear strains, and the local bonding configurations. The cation-alloying plays
a crucial role especially for the arsenic nuclei. The isotopic line profiles
also largely differ among nuclear species: While the central transition of the
gallium isotopes have a narrow linewidth, those of arsenic and indium are much
broader and oppositely skewed with respect to each other. The statistical
distributions of electric field gradient (EFG) parameters of the nuclei within
the QD are analyzed. The consequences of various EFG axial orientation
characteristics are discussed. Finally, the possibility of suppressing the
first-order quadrupolar shifts is demonstrated by simply tilting the sample
with respect to the static magnetic field.
