Momentum total

From Rate of change of momentum = (total momentum change)/At,... 

Microscopic Balance Equations Partial differential balance equations express the conservation principles at a point in space. Equations for mass, momentum, total energy, and mechanical energy may be found in Whitaker (ibid.), Bird, Stewart, and Lightfoot (Transport Phenomena, Wiley, New York, 1960), and Slattery (Momentum, Heat and Mass Transfer in Continua, 2d ed., Krieger, Huntington, N.Y., 1981), for example. These references also present the equations in other useful coordinate systems besides the cartesian system. The coordinate systems are fixed in inertial reference frames. The two most used equations, for mass and momentum, are presented here. 

If we select the position coordinates (total 3AT) and the components of momentum (total N) of each particle in the system as our variables, we can write the total energy H as ... 

Total orbital angular momentum Total spin angular momentum... 

By means of these definitions, (1.274) gives the instantaneous area-averaged equations for the balance of total mass, momentum, total energy, and species mass. 

Angular momenmm, linear momentum and energy are all subject to universal conservation laws such that in any interaction the total angular momentum, total linear momentum, and total energy, before and after the event, remain unchanged. 

S, L, and J are the total spin angular momentum, total orbital angular momentum, and total angular momentum, respectively. In a Ln -doped insulator, the coordination of anions aroimd the Ln cation produces an electrostatic field having a symmetry lower than spherical. As a result, the 2J + l)-fold degeneracy of the multiplets in the free ion case is partially or completely... 

Ion f electron Angular momentum Total orbital Term associated... 

The "favourable" behaviour is most interesting in that the strong alignment is not due to kinematic constraints. In a A + BC(J) -> AB(J ) + C reaction where 1 and are the reactant and product rotational angular momenta, conservation of total angular momentum, total requires that ... 

J,S,L total angular momentum, total spin, total orbital momentum, respectively Xo temperature-independent susceptibility... 

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