Significant zeros

Place a decimal after the last zero to show that you actually consider the last zero significant. 

Fig. 3 Schematic diagram of the propagation of an acoustic shear wave launched by a TSM resonator loaded with a viscoelastic overlayer and exposed to a fluid. Note the progressive zero, significant, and dramatic attenuations of the wave on moving from the rigid layer (electrode plus surface feature-entrapped material) to the viscoelastic solid to the fluid. The acoustic decay lengths in these three regions are, respectively, infinity, [2C/ 1 — C7C ] / /(ft)ypf), and t A[G"//(o in the latter two instances, typical values are 2 and 0.2 pm.

As a matter of fact, if the uncertain digit is a zero, it is best to have it to the right of the decimal point. If 75.0 cm were to be written in the next-smaller decimal unit, it would be 750 mm. The reader of this measurement is faced with the question, Is the zero significant, or is it a place holder for the decimal point With 75.0 cm or 7.50 X 10 mm, there is no question The zero is significant. 

If the vapor mixture contains only ideal gases, the integrals in Equations (3) and (6) are zero, z is unity for all compositions, and ()i equals 1 for each component i. At low pressures, typically less than 1 bar, it is frequently a good assumption to set ( ) = 1, but even at moderately low pressures, say in the vicinity of 1 to 10 bars, (f) is often significantly different from unity, especially if i is a polar component. 

When plotted according to the linear form of the BET equation, data for the adsorption of N2 on Graphon at 77 K give an intercept of 0.004 and a slope of 1.7 (both in cubic centimeters STP per gram). Calculate E assuming a molecular area of 16 for N2. Calculate also the heat of adsorption for the first layer (the heat of condensation of N2 is 1.3 kcal/mol). Would your answer for Vm be much different if the intercept were taken to be zero (and the slope the same) Comment briefly on the practical significance of your conclusion. 

The amplitude and therefore the intensity, of the scattered radiation is detennined by extending the Fourier transfomi of equation (B 1.8.11 over the entire crystal and Bragg s law expresses die fact that this transfomi has values significantly different from zero only at the nodes of the reciprocal lattice. The amplitude varies, however, from node to node, depending on the transfomi of the contents of the unit cell. This leads to an expression for the structure amplitude, denoted by F(hld), of the fomi... 

Now in the present case i/a 1, so it follows from equation (A.1.7) that G/a 1, provided f differs significantly from zero. Thus che first term on the right hand side of (A.L.8) is a close approximation to the familiar Poisoiille flux. The second term, on the other hand, represents thermal transpiration. In particular, setting N 0, we find... 

The three moments higher than the quadrupole are the octopole, hexapole and decapoli. Methane is an example of a molecule whose lowest non-zero multipole moment is the octopole. The entire set of electric moments is required to completely and exactly describe the distribution of charge in a molecule. However, the series expansion is often truncated after the dipole or quadrupole as these are often the most significant. 

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