Measured distortions of the Mn-O bond length distribution from x-ray-a
bsorption fine-structure measurements are found to relate linearly to
the doped hole concentration x at room temperature in La1-xCaxMnO3. Co
mparison of the distortions above and below T-c for colossal magnetore
sistor (CMR) samples gives an estimate of the number of delocalized ho
les n(dh), and we find that ln(n(dh)) proportional to M (magnetization
). These results are complementary to resistance measurements that sho
w that ln(rho) proportional to -M. We have thus established the functi
onal relationship between the electronic, spin, and lattice degrees of
freedom in the CMR perovskites.