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- The Madelung constant for the NaCl structure may be found by summing an infinite alternating series of terms giving the electrostatic potential energy between an Na+ ion and its 6 nearest Cl neighbors, its 12 next-nearest N+ neighbors, and so on (see Fig. 12.1a). (a) From this expression, show that the first three terms of the infinite series for the Madelung constant for the NaCl structure yield = 2.13. (b) Does this infinite series converge rapidly? Calculate the fourth term as a check.What is the cnergy difference in eV between the two lowest rotational levels of the HD molecule? The HD (D is a deuteron) distance is 0.75 Å.(4) Predict the structure of CsCl. Given: radius of Cs+= 0.160 nm, radius of Cl-=0.181nm. Calculate the radius ratio between Cs+ and Cl- and derive the coordination number (CN) based on the table below. Rcation/Ranion CN 0-0.155 2 3 0.155-0.225 0.225-0.414 0.414-0.732 0.732-1 1 4 6 8 12
- is the tranfer or sharing valence electrons different than bonding. If so, how?Determine the lattice constant, coordination number, afp of hexagonal close pack. Please help me answer this one.In this problem you will model the mixing energy of a mixture in a relatively simple way, in order to relate the existence of a solubility gap to molecular behavior. Consider a mixture of A and B molecules that is ideal in every way but one: The potential energy due to the interaction of neighboring molecules depends upon whether the molecules are like or unlike. Let n be the average number of nearest neighbors of any given molecule (perhaps 6 or 8 or 10). Let μ0be the average potential energy associated with the interaction between neighboring molecules that are the same (A-A or B-B), and let μAB be the potential energy associated with the interaction of a neighboring unlike pair (A-B). There are no interactions beyond the range of the nearest neighbors; the values of μ0 and μAB are independent of the amounts of A and B; and the entropy of mixing is the same as for an ideal solution. (a) Show that when the system is unmixed, the total potential energy due to all the…
- The bond length in F2 is 1.417 Å, instead of twice theatomic radius of F, which is 1.28 Å. What can account forthe unexpected length of the F_ F bond?An excited state electronic configuration for the valence shell of Na₂ (sodium dimer) is (4µg 3s)¹(4µµ 3s)¹. What are the possible term symbols corresponding to this configuration, including the label for parity? Choose all term symbols that could result for this configuration. о 3{u 1{g 30g о 1 пи 38g 1{uIn this problem you will model the mixing energy of a mixture in a relatively simple way, in order to relate the existence of a solubility gap to molecular behavior. Consider a mixture of A and B molecules that is ideal in every way but one: The potential energy due to the interaction of neighboring molecules depends upon whether the molecules are like or unlike. Let n be the average number of nearest neighbors of any given molecule (perhaps 6 or 8 or 10). Let Uo be the average potential energy associated with the interaction between neighboring molecules that are the same (A-A or B-B), and let UAB be the potential energy associated with the interaction of a neighboring unlike pair (A-B). There are no interactions beyond the range of the nearest neighbors; the values of Uo and UAB are independent of the amounts of A and B; and the entropy of mixing is the same as for an ideal solution. Show that when the system is unmixed, the total potential energy due to all neighbor-neighbor…
- Given that the radius of the Ca2+ and F- ions are 1.03 Å and 1.36 Å, respectively, show that the packing fraction of the CaF2 (Fluorite) structure is 0.61.In this problem you will model the mixing energy of a mixture in a relatively simple way, in order to relate the existence of a solubility gap to molecular behavior. Consider a mixture of A and B molecules that is ideal in every way but one: The potential energy due to the interaction of neighboring molecules depends upon whether the molecules are like or unlike. Let n be the average number of nearest neighbors of any given molecule (perhaps 6 or 8 or 10). Let Uo be the average potential energy associated with the interaction between neighboring molecules that are the same (A-A or B-B), and let UAB be the potential energy associated with the interaction of a neighboring unlike pair (A-B). There are no interactions beyond the range of the nearest neighbors; the values of Uo and UAB are independent of the amounts of A and B; and the entropy of mixing is the same as for an ideal solution. Find a formula for the total potential energy when the system is mixed, in terms of x, the fraction…The distemce of nth boignt bond From center bemd is given by Ca) (b) (d) (2n)AD
