Sum calculations

With a cost of capital of 10 percent the various cash flows can be discounted and summed. Thus for the base cases Z Af = 2,815,600, Z Ajp/d = 754,716, Z Aofd = 614,457, and Z C c/d = 61,446. With corporate taxes payable at 50 percent the aftertax cash flows of the first three items are (1 — 0.50) of the sums calculated above. The discounted working capital and the fixed-capital outlay are not subject to tax. These most probable values are listed and summed in Table 9-11 and, after adjustment for tax, give the modal value of the (NPV) as 276,224. 

Potzel and Kalvius were the first to investigate zinc compounds with Zn Mossbauer spectroscopy. The first measurements were carried out with Znp2 powder at 4.2 K [80]. The observed quadrupole splitting could not be explained by a simple lattice sum calculation. More detailed measurements were carried out at... 

Fig. 12.8. The bond valence sums calculated around Eu (Eu2) on the surface of the EuS layer and Eu + (Eul) inside the layer as a function of the position along the incommensurate wave (phase t). Reproduced with permission from Cario et al. (1999).

In spite of the variability of the sum calculated from the nitrogen content and hygroscopicity the effect of the nitrogen content on the hygroscopicity can be expressed by a straight line. In Fig. 109 (after de Pauw) straight-lines corresponding with different relative moistness of atmosphere (f/F) are shown. 

The second type of probability sum calculated from the set of Ps contains only those trial tables that are more extreme in the same direction as the measured contingency table. As with the chi-square test, if this probability is less than or equal to the significance level, a, chosen for the study, then the null hypothesis of no effect is rejected otherwise, the null hypothesis is accepted. This P is referred to as a one-tail or one-sided P-value and its associated test, a one-tailed test. The difficulty in this type of test is to correctly identify the trial tables from the set that are more extreme in the same direction as the measured contingency table. 

Fig. 3.23. Water content of fresh and freeze-dried bone corticalis 1, water content measured by NMR 2, water removed in an oven at 90 °C over P205 3, water content measured by NMR after the drying according to (2) has been completed 4, sum calculated from (2) and (3) (part of Table 16-3 from [3.52])...

The equilibrium configuration of the surface region comprising n layers is determined by solving simultaneously the 4n equations obtained by equating to zero the partial derivatives of AU with respect to each of the variables. The equations so obtained are nonlinear and are solved by an iterative Newton-Raphson procedure (12), which necessitates calculating the second partial derivatives of AU with respect to all possible pairs of variables. A Bendix G15D computer was used for all numerical computations—i.e., evaluation of the various lattice sums, calculation of the derivatives of AU, and solution of the linearized forms in the Newton-Raphson treatment. 

Figure 6. Experimental (a), calculated (b), and difference (c) solid state deuterium NMR spectra for the segmented copolymer with 0.87 mole fraction of hard segments. The spectrum in (a) was obtained at 55.26 MHz and 20 C, using the quadrupole echo pulse sequence. The dashed line in (b) represents the sum calculated for the broad and narrow components in a respective 10 1 ratio. (See text for details of the calculation.) The spectrum in (c) is the difference spectrum obtained by subtracting the spectrum of poly(butylene terephthalate) (Figure 4a) from the segmented copolymer spectrum (Figure 6a).

Comparison of dipole moments proved useful to elucidate the structures of pairs of isomeric N-oxides of chlorinated phenylpyrazines <78JOC3367>. The observed dipole moments of pyrazine 4-oxides are in good agreement with the vectorial sum calculated from empirical group moments. Dipole moment data of several pyrazines are available from studies by Lumbroso and Palamidessi <65BSF3150> and by Katritzky et al. <72JCS(P2)668>. 

We would like to thank D. P. Norton and J. T. Luck for the preparation of the samples used for this work, J. Halbritter and Z. G. Ivanov for valuable comments and J. Buban for performing the bond-valence sum calculations. This research was sponsored by NSF under grant No. DMR-9503877 and by... 

The crystals of [V 0S04(H20)4]-S04-[H2N(C2H4)2NH2] contain two types of piperazines (one disordered with two essentially equal components and one situated about the crystallographic center of symmetry). The crystallographic data, the results of the bond valence sum calculations and manganometric titrations of the reduced vanadium(IV) sites, and charge balance consideration indicate that all piperazines are doubly protonated. 

Direct lattice-sum calculations show that the lattice contributions to e qQ of the two sites are of opposite sign [30]. The signs of the coupling constants have been confirmed as positive by the magnetic perturbation method [32], and the electronic excited states estimated assuming only one type of site [5, 19]. 

The many attempts at lattice-sum calculations of the electric field gradient tensor have already been listed in Section 5.4 in connection with the evaluation of the iron nuclear quadrupole moment. 

High-temperature measurements of the paramagnetic quadrupole splittings have been made in Y, Sm, Gd, Dy, Yb, and Lu garnets, but comparison with estimates from point-charge lattice-sum calculations gives only poor agreement [136]. 

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