(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 9.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 157, 7] NotebookDataLength[ 141944, 2445] NotebookOptionsPosition[ 140844, 2409] NotebookOutlinePosition[ 141541, 2432] CellTagsIndexPosition[ 141498, 2429] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["\<\ (* Xe atom Kimball, Ne,Ar,Zn,Kr,Cd-centers, 4 5sp-spheres tetrahedral \ 21.12.2011 *) Clear[k1,k2,k3,k4,k5,k6,k7,sig1,sig2,sig3,sig4,sig5,sig6,sig7,c,z,R1,R2,R3,R4,\ R5,R6,R7,S2,S3,S4,S5,S6,S7]; c = {k1 -> 1.0, k2 -> 1.0, k3 -> 1.0, k4 -> 1.0, k5 -> 1.0, k6 -> 1.0, k7 -> \ 1.0, sig1 -> 0.3, sig2 -> 0.302, sig3 -> 0.302, sig4 -> 0.302, sig5 -> 0.302, \ sig6 -> 0.302, sig7 -> 0.302}; z=54.; (* He+Ne shell *) T = (2.*9./8.)*k1/R1^2+(8.*9./8.)*k2/R2^2 /. c; ad = Sqrt[3./8.]; Vee=3.0*sig1/R1+12.*sig2/R2+16/(R1+R2)+24*ad/(R1+R2) /. c; Vne=-3.0*z/R1-8.*z/(R1+R2); S2 = R2*4^(1/3); (* Ar shell *) T = T + (8.*9./8)*k3/R3^2 /. c; Vee = Vee+12.*sig3/R3+80./(S2+R3)+24.*ad/(S2+R3) /. c; Vne = Vne-8.45*z/(S2+R3); S3 = R3*4^(1/3); (* Zn shell octahedron, d10 with 2 charges; *) T = T + (12.*9./8)*k4/R4^2 /. c; Vee = Vee+6.*3.*sig4/R4+(216.+60./Sqrt[2])/(S3+R4) /. c; Vne = Vne - 12.6*z/(S3+R4); S4 = R4*6^(1/3); (* Kr shell *) T = T + (8.*9./8.)*k5/R5^2 /. c; Vee = Vee+12.*sig5/R5+224./(S4+R5)+24.*ad/(S4+R5) /. c; Vne = Vne-8.45*z/(S4+R5); S5 = R5*4^(1/3); (* Cd shell octahedron, d10 s2 full*) T = T + (12.*9./8)*k6/R6^2 /. c; Vee = Vee+6.*3.*sig6/R6+(432.+60./Sqrt[2])/(S5+R6) /. c; Vne = Vne - 12.6*z/(S5+R6); S6 = R6*6^(1/3); (* Xe shell *) T = T + (8*9./8)*k7/R7^2 /. c; Vee = Vee+12.*sig7/R7+432./(S6+R7)+24.*ad/(S6+R7) /. c; Vne = Vne-8.45*z/(S6+R7); S7 = R7*4^(1/3); func = T + Vee + Vne; t = FindMinimum[func, {R1,0.02384}, {R2,0.0667}, {R3,0.1142}, \ 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