Total eneigy

The total eneigy of the unheise is constant the total entropy is continually increasing. 

The total eneigy V may be split into an internal energy, a potential energy, and a macroscopic kinetic energy. Eacli contribution taken separately does nol satisfy tin equation of the simple form of Equation 14) because of possible transformation or one form of energy to another... 

As noted, force fields are a set of equations relating the total eneigy of the system to its individual interaction components. 

Absolute SCF eneigy Absolute MP2 eneigy G2 total eneigy - SCF MP2 AFacid G2 A acid expt" ... 

It is interesting to note that both thermal and non-thermal plasmas nsnally have the highest temperature (Te in one case, and To in the other) on the order of magnitnde of 1 e ( which is about 10% of the total eneigy required for ionization (about 10 eV). It reflects the general rule found by Zeldovich and Frank-Kamenetsky for atoms and small molecules in chemical kinetics the temperature required for a chemical process is typically about 10% of the total required energy, which is the Arrhenius activation eneigy. A funny fact is that a similar rule (10%) can usually be apphed to determine a down payment to buy a house or a new car. Thus, the plasma temperatures can be somewhat identified as the down payment for the ionization process. 

Of course, the total eneigy has to be conserved. The non-radiative process described will take place if the system finds a way to dissipate its energy i.e., to transfer an excess of electronic energy into the vihrational, rotational, and translational degrees of freedom of its own or neighboring molecules (e.g., of the solvent). ... 

In the majority of cases, this is a reasonable approximation, since the Hartree-Fock method usually provides as much as 98 to 99% of the total eneigy. A Slater determinant < >/ is constructed... 

The fast vibrational motions will be treated quantum-mechanically and their total eneigy will enter the potential energy for the classical motion along s. 

As low as possible while consuming a nutritionally adequate diet As low as possible while consuming a nutritionally adequate diet As low as possible while consuming a nutritionally adequate diet Limit to no more than 25 % of total eneigy... 

However, the seeond (explicit) level of quantum theory in the Heisenberg matrix approach regards the evaluation of the diagonal components of the total eneigy matrix through employment of the commutation rule in the matrix forms specialized to actual harmonic oscillator case it looks equivalently like ... 

Confirming the total eneigy expressions as the conventional sum between kinetic and potential eneigy components. Having the Hamiltonian-Lagrangian expression proven as reliable in classical side its relativistic extension naturally follows in the same way with relativistic Lagrangian as... 

Since (after the approximations have been made) the translational, rotational and vibrational ( internal motion ) operators depend on their own variables, after separation the total wave function represents a product of three eigenfunctions (translational, rotational and vibrational) and the total eneigy is the sum of the translational, rotational and vibrational energies (fully analogous with eq. (6.29))... 

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