Average moment

Figure 5. Molecular dynamics simulation of the decay forward and backward in time of the fluctuation of the first energy moment of a Lennard-Jones fluid (the central curve is the average moment, the enveloping curves are estimated standard error, and the lines are best fits). The starting positions of the adiabatic trajectories are obtained from Monte Carlo sampling of the static probability distribution, Eq. (246). The density is 0.80, the temperature is Tq — 2, and the initial imposed thermal gradient is pj — 0.02. (From Ref. 2.)...

In interpreting the experimentally determined moments however (which with the sole exception of Fe(Cp)2+ relate only to average moments), the part played by two parameters is of great importance, namely the distortion parameter, A, and the orbital reduction factor,... 

Resistance-Deflection Function. The resistance-deflection function establishes the dynamic resistance of the trial cross-section. Figure 4a shows a typical design resistance-deflection function with elastic stiffness, Kg (psi/in), elastic deflection limit, Xg (in) and ultimate resistance, r.. (psi). The stiffness is determined from a static elastic analysis using the average moment of inertia of a cracked and uncracked cross-section. (For design... 

Though the traceless moments can be derived from the unabridged moments, the converse is not the case because the information on the spherically averaged moments is no longer contained in the traceless moments. The general relations between the traceless moments and the unabridged moments follow from Eq. (7.3). For the quadrupole moments, we obtain with Eq. (7.2) ... 

The random force Q in the dynamic equations (2.29) is determined by its average moments and is specified from the condition that the equilibrium moments of the co-ordinates and velocities are known beforehand (Chandrasekhar 1943). In the linearised version, with ipn -C 1, this requirement determines the relation... 

Average moment of inertia for ethyl radical tumbling about its own axis. 

However, it is quite possible that for smaller values of x holes are trapped at the C atoms, which act as acceptors relative to the N-Mnf bonding band. If this happens, the holes will add an average moment of OMSxfjLB to each Mnf and there is no depletion of the antibonding electrons to fill the holes. This gives an effective v for equations 205, 207 of... 

Given an ensemble of static electric dipole moments of magnitude fi and random orientation in an external static electric field E, we can use the microcanonical ensemble partition function to compute the average moment... 

Estimate the average moment of a dipole cluster of water subject to an external electric field of 2.7 x 10 V cm . Assume the average of the cosine of the angles between the dipole moment of the central water molecule and those of its bonded neighbors is 1/3 at 298 K. (Contractor)... 

For a two-sublattice antiferromagnet, one simply has two coupled single-ion equations such as Equation (15) that are simultaneously solved selfconsistently for the two sublattice average moments. A p-sublattice material gives rise to p coupled equations and presents no special difficulty. The MFT method has been generalized to random, disordered, and amorphous magnetic materials by Rancourt et al. (1993). 

---