Direct observation of NMR transverse relaxation in nanopatterned clusters of iron oxide particles
Ilhan Bok, Beth Rauch, Alireza Ashtiani, Aviad Hai
Abstract
Purpose
We aim to verify predictions showing T2 relaxation rate of nanoparticle clusters and its dependence on spacing, size, geometry, and pulse sequence.
Methods
We performed a laboratory validation study using nanopatterned arrays of iron oxide nanoparticles to precisely control cluster geometry and image diverse samples using a 4.7T MRI scanner with a T2-weighted fast spin-echo multislice sequence. We applied denoising and normalization to regions of interest and estimated relative R2 for each relevant nanoparticle array or nanocluster array. We determined significance using an unpaired two-tailed t-test or one-way analysis of variance and performed curve fitting.
Results
We measured a density-dependent T2 effect (p = 8.9976 × 10−20, one-way analysis of variance) and insignificant effect of cluster anisotropy (p = 0.5924, unpaired t-test) on T2 relaxation. We found negative quadratic relationships (−0.0045[log τD]2–0.0655[log τD]−2.7800) for single nanoparticles of varying sizes and for clusters (−0.0045[log τD]2–0.0827[log τD]−2.3249) for diffusional correlation time τ D = r p**2/D. Clusters show positive quadratic relationships for large (3.8615 × 10−6 [d pp/r p]2–9.3853 × 10−5 [d pp/r p]−2.0393) and exponential relationships for small (−2.0050[d pp/r p]0.0010) clusters. Calculated R2 peak values also align well with in silico predictions (7.85 × 10−4 ms compared with 1.47 × 10−4, 4.23 × 10−4, and 5.02 × 10−4 ms for single iron oxide nanoparticles, 7.88 × 10−4 ms compared with 5.24 × 10−4 ms for nanoparticle clusters).
Conclusion
Our verification affirms longstanding in silico predictions and demonstrates aggregation-dependent behavior in agreement with previous Monte Carlo simulation studies.