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E k is the total kinetic energy; E t is the translational kinetic energy; E r is the rotational energy or angular kinetic energy in the rest frame; Thus the kinetic energy of a tennis ball in flight is the kinetic energy due to its rotation, plus the kinetic energy due to its translation.
Much of this energy is reradiated back to the surface in the infrared through the "greenhouse effect." Because room temperature (≈298 K) is over the typical rotational temperature but lower than the typical vibrational temperature, only the translational and rotational degrees of freedom contribute, in equal amounts, to the heat capacity ratio.
Equipartition also makes quantitative predictions for these energies. For example, it predicts that every atom of an inert noble gas, in thermal equilibrium at temperature T, has an average translational kinetic energy of 3 / 2 k B T, where k B is the Boltzmann constant.
The translational kinetic energy of the system is times that of a molecule, namely =. The temperature, T {\displaystyle T} is related to the translational kinetic energy by the description above, resulting in
Roughly speaking, a molecular energy state (i.e., an eigenstate of the molecular Hamiltonian) is the sum of the electronic, vibrational, rotational, nuclear, and translational components, such that: = + + + + where E electronic is an eigenvalue of the electronic molecular Hamiltonian (the value of the potential energy surface) at the ...
The energies involved in the various motions of the molecule can then be broken down into three categories: the translational, rotational, and vibrational energies. The theoretical study of the rotational energy levels of the diatomic molecules can be described using the below description of the rotational energy levels.
Energy of a typical microwave oven photon (2.45 GHz) (1×10 −5 eV) [4] [5] 10 −23 2×10 −23 J: Average kinetic energy of translational motion of a molecule in the Boomerang Nebula, the coldest place known outside of a laboratory, at a temperature of 1 kelvin [6] [7] 10 −22 2–3000×10 −22 J Energy of infrared light photons [8] 10 − ...
Kinetic energy is the energy of motion. The amount of translational kinetic energy found in two variables: the mass of the object and the speed of the object as shown in the equation above. Kinetic energy must always be either zero or a positive value.