Without limiting the scope of the invention, it is believed that the nanoparticle sized pigment particles have {HEAD ~ an affinity} for {TAIL ~ the surface} of pigmentary TiO2 particles 
for
Without limiting the scope of the invention , it is believed that the nanoparticle sized pigment particles have { HEAD ~ an affinity } for { TAIL ~ the surface } of pigmentary TiO2 particles
OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH HEAD HEAD HEAD HEAD HEAD HEAD REL TAIL TAIL TAIL TAIL TAIL TAIL OTH OTH OTH OTH