Surface as functions

Figure A-6. Maximum view factor of a plane surface as function of dimensionless distance to emitter.

FIGURE 26.38 Correlation and regression coefficients between road test ratings obtained on three different wet road test tracks and laboratory ratings obtained on a wet Alumina 60 laboratory surface as function of... 

FIGURE 31.3 Zeta potentials of a glass surface as functions of the concentrations of salt solutions with the cations (from bottom to top) K, Ca +, Al, Th ". ... 

An equation of the type Eq. (34.9) (with instead of P) is valid for any shape of the free-energy surfaces as functions of the coordinates of any reactive modes provided that the motion along is classical. If the motion along some coordinates Q is quantum mechanical, these modes should be excluded from the free-energy surfaces. The transition along these modes has a tunnel character. 

Behm et al. have measured LEED diffraction intensities for H monolayers on Pd(100) surfaces as function of temperature at different coverages (Fig. 13b). Taking the temperature Ti,2 where the intensity has dropped to 50% of its low-temperature value as estimated for Td ), they constructed the phase diagram shown by crosses in Fig. 13a. (Alternatively using the inflection points of the I vs T curves (Fig. 13b) yields similar results.)... 

Figure 2 Qualitative plots of the electronic energy surfaces as functions of the anion-to-peptide distance R, for the anion-peptide collision complex, and for states in which the electron has been transferred from the anion to Rydberg states on one of the peptide s protonated amines, to an SS ct orbital, or to an amide it orbital.

Figure 7.14a-f Mechanical and textural property response surfaces as functions of blanching temperature and time. Steaming level temperature 117 °C, time 2 min. 

Lu, Z., Murray, K. S., Van Cleave, V., LaVallie, E. R., Stahl, M. L., and McCoy, J. M. (1995) Expression of thioredoxin random peptide libraries on the Escherichia coli cell surface as functional fusions to flagellin a system designed for exploring protein-protein interactions. Biotechnology 13, 366-372. 

The previous work of Cukier and coworkers [7, 12] differs from the formulation described in this chapter in a number of fundamental ways. In contrast to the multistate continuum theory described in this chapter, Cukier and coworkers did not calculate mixed electronic/proton vibrational free energy surfaces as functions of two solvent coordinates. Instead, they calculated solvated proton potentials obtained by the assumption that the inertial polarization of the solvent responds instantaneously to the proton position. (This is the limit opposite to the standard adiabatic limit of the fast proton vibrational motion responding instantaneously to... 

Figure 16.1 Two-dimensional vibronic free energy surfaces as functions oftwo collective solvent coordinates, Zp and z for a PCET reaction. The lowest energy reactant and product free energy surfaces are shown. The minima for the reactant and product surfaces, respectively, are...

Figure 5.7 Turbidity surface, as function of propylene glycol concentration and sucrose invert medium added, predicted by the second-order model (2).

FIGURE 2.3 (a) Schematic of in-situ self-assembly of PPy on PSS surface as function of... 

Fig. 6 a—c. Neutron wave functions at the nuclear surface as function of distance r from the centre of the nucleus (a) between resonances (b) near resonance (c) at resonance (Blatt and Weisskopf [7], p. 382). 

Figure 11. Dependence on intemucleax distance R of the H2 effective potential surface as function of the electronic coordinates zi and Z2 at constant r and

Fig. 14.27. Electron transfer in the reaction DA -> D+A , as well as the relation of the Marcus parabolas to the concepts of the conical intersection, diabatic and adiabatic states, entrance and exit channels and the reaction barrier. Panel (a) shows two diabatic surfaces as functions of the and 2 variables that describe the deviation from the comical intersection point (within the...

Thus the stability of the passive fihn depends on two parameters, the electrode potential and the pH value. Pourbaix developed special diagrams of stabUity regions of oxides on metal surfaces as function of electrode potential and pH value. The diagrams were calculated from thermodynamic equilibrium values for selected reactions between the metal and aqueous electrolyte. A Pourbaix diagram for iron is shown as example in Figure 10.11 (Kaesche ). 

Figure 3.89. Calculated absorbances - log(fl/flo) in IRRAS spectra of hypothetical adsorbate vibration at 3000 cnr on silicon and glass surface as function of light incidence angle v>i for p-polarized radiation (Ap, dotted lines) and s-polarized radiation dashed lines). Solid lines denoted with and A represent parallel and perpendicular components, respectively, of total absorbance Ap] cpB is Brewster angle. Optical constants d2 = 1 nm, 02 = 1-5, k2 = 0.1, rigiass = 1.5, risi = 3.42. Reprinted, by permission, from H. Brunner, U. Mayer, and H. Hoffmann, Appl. Spectrosc. 51, 209 (1997), p. 211, Fig. 2. Copyright 1997 Society for Applied Spectroscopy.

Fig, 4. Tilt angle in the center and ag about a quarter of the way from the surface as function of the reduced voltage V/Vq. The curves are calculated with en 10.5,... 

Fig. 14.27. Electron transfer in the reaction DA D+A , as well as the relation of the Marcus parabolas to the concepts of the conical intersection, diabatic and adiabatic states, entrance and exit channels and the reaction barrier. Panel (a) shows two diabatic surfaces as functions of the f i and I2 variables that describe the deviation from the comical intersection point (within the bifurcation plane cf., p. 312). Both surfaces are shown schematically in the form of the two intasecting paraboloids one for the reactants (DA), and the second for products (D A ). (b) The same as (a), but the hypersurfaces are presented more realistically. The upper and lower adiabatic surfaces touch at the conical intersection point, (c) A ma-e detailed view of the same surfaces. On the ground-state adiabatic surface (the lower one), we can see two reaction channels I and 11, each with its reaction barrier. On the upper adiabatic surface, an energy valley is visible that symbolizes a bound state that is separated from the conical intersection by a reaction barrier, (d) The Marcus parabolas represent the sections of the diabatic surfaces along the corresponding reaction channel, at a certain distance from the conical intersection. Hence, the parabolas in reality cannot intersect (undergo an avoided crossing).

FIGURE 9.1. Static contact angles (advancing and receding) of water drops placed on wax surfaces as functions of the roughness of the substrate. The horizontal scale is qualitative changes in roughness are achieved by successive bakes (reproduced from ref. 1). 

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