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2. For a K-Chion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according to 1.436 EA r 5.8 x 10-6 ER r9 For these expressions, energies are expressed in electron volts per K-CF pair, and r is the distance in nanometers. The net energy En is just the sum of the two expressions above. Fig below is the En, ER, and EA on a single plot versus r up to 1.0 nm. (a) On the basis of this plot, determine (i) the equilibrium spacing ro between the K+ and CF ions, and (ii) the magnitude of the bonding energy E, between the two ions. (b) Mathematically determine the ro and Eo values and compare these with graphical results in part (a). EX 2 EX Bonding Energy, eV -2 r = 0.28 nm -4 E--4.6 eV E -6 0.00 0.10 0.20 0.30 0.70 0.80 0.90 1.00 0.40 0.50 0.60 Interatomic Separation, nm Part (b) Hint: For a general problem of the following form: En = EA + ER Or more precisely: -A B EN rn One can manipulate the above to obtain the ro value as follows: A 1-n nB = + To =