“…In addition, the obtained vibrational energies E (A) vib (T ) basically reveal the expected temperature trends, i.e., an almost temperature-independent behavior characterized by the zero-point phonon energy for T < D 2 ∼ 150 K and a linear increase with a slope of roughly kT at higher temperatures indicating thermal phonon broadening of the polaron absorption bands. The deviation from this temperature trend for x = 0.2, i.e., the decrease of E (A) vib (T ) at low temperature may be attributed to the presence of the ferromagnetic insulating (FMI) phase at T < 180 K. Moreover, the vibrational energies governing small polaron hopping transfer at T = 80 K in hole doped PCMO (x 0.5), E (A) vib = 1 2 ω (A) 0 ∼ 18-30 meV, are roughly consistent with a band of vibrational Mn-O-Mn tilt modes found in the energy range of ω 0 ∼ 30-50 meV in PCMO at various doping levels [18,42,43,45]. These modes change the octahedral tilting angle between nearest neighbor sites and, thus, may facilitate the intersite hopping transfer.…”