First-principles methods are used to investigate the self-interstitial and
its aggregates in diamond. The experimental assignment of the spin-1 R2 EPR
center to the single interstitial has been questioned because of the small
fine-structure term observed. We calculate the spin-spin interaction tenso
r for the three interstitial defects I-1([001]), I-2(NN), and I-3 and compa
re with the experimental D tensors. The results give support fur the assign
ments of the single and di-interstitials to microscopic models and allow us
to conclusively identify a recently observed EPR center. O3, with I-3. Thi
s identification, in turn, suggests a low-energy structure for I-4 and a ge
neric model for an extended defect called the platelet. We also determine t
he optical properties of I-1([001]) as well as its piezospectroscopic or st
ress tensor and find these to be in agreement with experiment. Several mult
i-interstitial defects are found to possess different structural forms whic
h may coexist. We propose that a different form of the charged I-2 defect g
ives rise to the 3H optical peak. Several structures of the platelet are co
nsidered, and we find that the lowest-energy model is consistent with micro
scopic and infrared studies.