Units the factor

In reduced electrostatic units, the factor is eliminated and the Poisson equatic becomes ... 

From the Nemst equation, (equation (3.9)), we can indeed predict how much an electrode potential will change per decade change in activity, or predict the activity from a knowledge ofEM< +,M. The pre-logarithm term in equation (3.9) is a constant and (with logarithms in base-10) has the value (2.303 x RT/nFj. At 298 K, this value is equal to (0.0591/a V). Using slightly different units, the factor is 59.1/n mV. 

When C2D2 frequencies are used, in should be replaced by /Hq. The force constants for acetylene can be calculated from these relations using the measured vibrational frequencies, and the bond lengths can be determined from the rotational analysis described below. If one expresses the frequencies in cm units and the masses in appropriate isotopic mass units, the factors 4t7 should be replaced by 4t7 c 10 NY = 5.8918 X 10 (this includes a factor of 10 kg/g mass conversion). This substitution gives the force constants Y, kg, and Yr in N m units and the bending constants kg and kgg in units of N m. 

Measurement is the key to quantitative physical science. The results of every measurement must include both a numeric value and a unit (or set of units). Be sure to use standard abbreviations for all units. The factor label method is used to convert a quantity from one set of units to another without changing its value. The original quantity is multiplied by a factor equal to 1. (The numerator and denominator of the factor are equal to each other in value but different in form.) To use the factor label method (1) write down the quantity given, (2) multiply by a factor that will yield the desired units, (3) cancel the units, (4) multiply all numbers in the numerators and divide by the number(s) in the denominator(s). Sometimes, it is necessary to multiply by more than one factor. We may solve for the intermediate answers, but we do not have to. (Section 2.1)... 

Clearly, units of gab/qt are not those asked for in the problem, nor are they reasonable units. The factor-label method is therefore a self-indicating system the correct units (those required by the problem) will result only if the factor is set up properly. 

The lattice constants are given in Angstrom units for conversion from kX units, the factor 1,00202 A/kX was used. 

The foregoing method enjoys great versatility. The chain may be of any specified length and structure. If it comprises a variety of skeletal bonds and repeat units, the factors entering into the serial products have merely to be fashioned to introduce the characteristics of the bond represented by each of the successive factors. The mathematical methods are exact the procedure is free of approximations beyond that involved in adoption of the rotational isometric state scheme. With judicious choice of rotational states, the error here Involved is generally within the limits of accuracy of basic information on bond rotations, nonbonded interact ions, etc. 

In SI units the factor (fl2 amounts to 1/753. It is important to note here that the special form of the nonlinear polarization [see Eq. (11.3)], as well as the associated nonlinear coefficient 2(f) or W2( ), is appropriate for describing only a specific class of nonlinear optical phenomena. In the next section we will describe other more general forms of nonlinear polarization. For the present, however, we will continue with this form of polarization in discussing some conventional usage and systems of units. 

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