The transport, ultrasound, and structural properties for the charge   ordered Pr1-xCaxMnO3 (0.5<=x<=0.875) manganites
  The effects of the cooperative Jahn-Teller effect on the crystal structure and the stability of the charge ordered (CO) state were studied by measurements of powder X-ray diffraction, resistivity, and ultrasound for Pr1-xCaxMnO3 (0.5<=x<=0.875). Powder X-ray diffraction revealed a change of the crystal structure from tetragonally compressed to tetragonally elongated orthorhombic between x=0.75 and x=0.8 in the CO state, resulting from the crossover of the cooperative Jahn-Teller vibration mode from Q2 to Q3. The relative stiffening of the ultrasound (DeltaV/V) reflecting the magnitude of the cooperative Jahn-Teller lattice distortion in the CO state increases with increasing x from 0.5 to 0.625, reaching the largest and being almost x-independence for 0.625<x<0.8, and drops steeply with further increase of x. Coincident with the variation of the DeltaV/V with x, the stability of the CO state reflected by the magnetoresistance effect increases with increasing x from 0.5 to 0.625, reaching the most stable for 0.625<x<0.825, and becomes unstable with further increase of x. These features demonstrate that the cooperative Jahn-Teller lattice distortion is one of the key ingredients in understanding the essential physics of the CO state in manganites. 
R. K. Zheng, G. Li, Y. Yang, A. N. Tang, W. Wang, T. Qian, X. G. Li