The two-nucleon density distributions in states with isospin T=0, spin
S=1, and projection M(S)=0 and +/- 1 are studied in H-2, He-3,He-4, L
i-6,Li-7, and O-16. The equidensity surfaces for M(S)=0 distributions
are found to be toroidal in shape, while those of M(S)=+/-1 have dumbb
ell shapes at large density. The dumbbell shapes are generated by rota
ting tori. The toroidal shapes indicate that the tensor.correlations h
ave near maximal strength at r<2 fm in all these nuclei:. They provide
new insights and simple explanations of the structure and electromagn
etic form factors of the deuteron, the quasideuteron model, and the dp
, nd, and alpha d L=2 (D-wave) components in He-3, He-4, and Li-6. The
toroidal distribution has a maximum-density diameter of similar to 1
fm and a half-maximum density thickness of similar to 0.9 fm. Many rea
listic models of nuclear forces predict these values, which are suppor
ted by the observed electromagnetic form factors of the deuteron, and
also predicted by classical Skyrme effective Lagrangians, related to Q
CD in the limit of infinite colors. Due to the rather small size of th
is structure, it could have a revealing relation to certain aspects of
QCD. Experiments to probe this structure and its effects in nuclei ar
e suggested. Pair distribution functions in other T,S channels are als
o discussed; those in T,S= 1,1 have anisotropies expected from one-pio
n-exchange interactions. The tensor correlations in T,S=0,1 states are
found to deplete the number of T,S=1,0 pairs in nuclei and cause a re
duction in nuclear binding energies via many-body effects.