  We give evidence for intrinsic, defect-induced bulk paramagnetism in SiC by
means of $^{13}$C and $^{29}$Si nuclear magnetic resonance (NMR) spectroscopy.
The temperature dependence of the internal dipole-field distribution, probed by
the spin part of the NMR Knight shift and the spectral linewidth, follows a
Curie law and scales very well with the macroscopic DC susceptibility. In order
to quantitatively analyze the NMR spectra, a microscopic model based on
dipole-dipole interactions was developed. The very good agreement between these
simulations and the NMR data establishes a direct relation between the
frequency distribution of the spectral intensity and the corresponding
real-space volumes of nuclear spins. The presented approach by NMR can be
applied to a variety of similar materials and, thus, opens a new avenue for the
microscopic exploration and exploitation of diluted bulk magnetism in
semiconductors.

Materials Science