For a na'-ci ion pair, attractive and repulsive energies ea and er, respectively, depend on the distance between the ions r, according to 1.436 7.32 106 for these expressions, energies are expressed in electron volts per na-cl- pair, and r is the distance in nanometers. the net energy en is just the sum of the preceding two expressions (a) superimpose on a single plot ex, er, and ea versus r up to 1.5 nm using matlab. (b) on the basis of this plot, determine (i) the equilibrium spacing ro between the na and cl ions, and (ii) the magnitude of the bonding energy eo between the two ions. (c) mathematically determine the ro and eo, and compare these with the graphical results from part (b).

Acommon technique in analysis of scientific data is normalization. the purpose of normalizing data is to eliminate irrelevant constants that can obscure the salient features of the data. the goal of this experiment is to test the hypothesis that the flux of light decreases as the square of the distance from the source. in this case, the absolute value of the voltage measured by the photometer is irrelevant; only the relative value conveys useful information. suppose that in part 2.2.2 of the experiment, students obtain a signal value of 162 mv at a distance of 4 cm and a value of 86 mv at a distance of 5.7 cm. normalize the students' data to the value obtained at 4 cm. (divide the signal value by 162.) then calculate the theoretically expected (normalized) value at 5.7 cm.