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For a K+Cl ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according to EA =

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For a K+Cl ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according to EA = 1.436 r ER = 5.8 106 r 9 For these expressions, energies are expressed in electron volts (eV) per K+Cl pair, and r is the distance in nanometers (nm). The net energy EN is just the sum of the two expressions above (EN = EA + ER). (a) Superimpose on a single plot EN, ER, and EA versus r up to 1.0 nm (the plot must be printed using a computer software program (excel, matlab, etc) OR hand-drawn on graph paper with labels). (b) On the basis of this plot, determine the equilibrium spacing r0 between the K+ and Cl ions, and the magnitude of the bonding energy E0 between the two ions. (c) Mathematically determine the r0 and E0 values (Hint: at equilibrium distance r0, the first derivative of the EN is zero).

5) For a Kt-Ch ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according to 1.436 5.8 x 106 For these expressions, energies are expressed in electron volts (eV) per K+-Cl-pair, and r is the distance in nanometers (nm). The net energy Es is just the sum of the two expressions above (Ev = EA + ER). (a) Superimpose on a single plot EN, ER, and EA versus r up to 1.0 nm (the plot must be printed using a computer software program (excel, matlab.etc) OR hand-drawn on graph paper with labels). (b) On the basis of this plot, determine the equilibrium spacing ro between the K* and Ch ions, and the magnitude of the bonding energy Eo between the two ons (c) Mathematically determine the ro and Eo values (Hint: at equilibrium distance ro. the first derivative of the EN is zero)

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