Identifying the forces that drive a temperature-induced phase transition is always challenging in the prospect of the first-principles methods. Herein, we perform a first-principles study of the temperature effects on structural, energetic, electronic, and vibrational properties of four BaTiO 3 polymorphs using quasi-harmonic approximations. Study of the stability between these four phases, which we break into contributions arising from the vibration of the lattice, electronic structure, and volume expansion/contraction, is helpful to confirm the sequence of phase transitions as cubic ! tetragonal ! orthorhombic ! rhombohedral, as well as its transition temperatures. A general mechanism was proposed based on the combination between structural distortions at [TiO 6 ] clusters, vibrational characteristics, and electronic structure. These findings confirm the power of quasi-harmonic approximations to disclose the main fingerprints associated with both thermic and mechanical phase transitions, serving as a guide for further theoretical studies.is a typical perovskite oxide with a band gap energy of nearly 3.2 eV [1] with an ABO 3 perovskite cubic structure [2,3] and has been studied using several theoretical and experimental methods. Its study under high pressure has been reported by many authors in the last few decades using different methods such as dielectric measurements, Brillouin scattering, Raman scattering, X-ray diffraction, and the photoacoustic technique. [4][5][6][7][8] In a recent study, [9] experimental results for pressure-strained BaTiO 3 show that it first undergoes a phase transition from the tetragonal to orthorhombic/rhombohedral phase occurring above~2.6 GPa, and then it finally goes to the cubic phase above 8.4 GPa, the phase transition being from tetragonal to cubic at room temperature reported around 2 GPa.One of the most important features of BTO is related to the electrical properties such as ferroelectric, piezoelectric, and pyroelectric features. [10] This compound has a paraelectric to ferroelectric phase transition below the Curie point near 120 C. [11] The influence of temperature for phase transition is very accentuated, with several polymorphs being possible for BTO material; the crystal structure changes among from rhombohedral (R3m) to orthorhombic (Amm2) at 183 K, then to tetragonal (P4mm) at 278 K and to cubic (Pm3m) at 403 K. The cubic phase is paraelectric and the other phases are ferroelectric, exhibiting a nonzero dipole moment that depends on the temperature. There is one BTO formula unit in the unit cell in all four phases, so that phase transitions to ferroelectric phases are due to the soft mode at the C point of the cubic BTO Brillouin zone (BZ).