Light shift per mk, extracted from MK mathematica Ground state state for 850nm format as sigma- lin sigma+ MF = ...-2 -1 0 1... ## S level ## F=1 -1.99365*10^7 -2.0827*10^7 -2.17176*10^7 -2.0827*10^7 -2.0827*10^7 -2.0827*10^7 -2.17176*10^7 -2.0827*10^7 -1.99365*10^7 F=2 -2.26082*10^7 -2.17176*10^7 -2.0827*10^7 -1.99365*10^7 -1.90459*10^7 -2.0827*10^7 -2.0827*10^7 -2.0827*10^7 -2.0827*10^7 -2.0827*10^7 -1.90459*10^7 -1.99365*10^7 -2.0827*10^7 -2.17176*10^7 -2.26082*10^7 ## P level ## F'=0 9.52887*10^6 9.52887*10^6 9.52887*10^6 F'=1 4.70379*10^6 1.25405*10^7 1.13423*10^7 1.25405*10^7 3.50556*10^6 1.25405*10^7 1.13423*10^7 1.25405*10^7 4.70379*10^6 F'=2 2.89036*10^6 6.20961*10^6 9.52887*10^6 1.28481*10^7 1.61674*10^7 9.52887*10^6 9.52887*10^6 9.52887*10^6 9.52887*10^6 9.52887*10^6 1.61674*10^7 1.28481*10^7 9.52887*10^6 6.20961*10^6 2.89036*10^6 F'=3 3.33567*10^6 2.89036*10^6 3.95087*10^6 6.51721*10^6 1.05894*10^7 1.61674*10^7 2.32512*10^7 1.99973*10^6 9.52887*10^6 1.40464*10^7 1.55522*10^7 1.40464*10^7 9.52887*10^6 1.99973*10^6 2.32512*10^7 1.61674*10^7 1.05894*10^7 6.51721*10^6 3.95087*10^6 2.89036*10^6 3.33567*10^6 ## Calculation of S level ## P levels used If[n=={5,1,1/2},v={2*Pi*2.998*10^8/(7949.8*10^-10),3.648*10^7}, If[n=={5,1,3/2},v={2*Pi*2.998*10^8/(7802.4*10^-10),3.843*10^7}, If[n=={6,1,1/2},v={2*Pi*2.998*10^8/(4215.524*10^-10),1.50*10^6}, If[n=={6,1,3/2},v={2*Pi*2.998*10^8/(4201.792*10^-10),1.77*10^6}, If[n=={7,1,1/2},v={2*Pi*2.998*10^8/(3591.572*10^-10),2.89*10^5}, If[n=={7,1,3/2},v={2*Pi*2.998*10^8/(3587.050*10^-10),3.96*10^5}]]]]]]; v] v=shiftSJJ[5,1,1/2,J1,F1,mF1,q,I1]+ shiftSJJ[5,1,3/2,J1,F1,mF1,q,I1]+ shiftSJJ[6,1,1/2,J1,F1,mF1,q,I1]+ shiftSJJ[6,1,3/2,J1,F1,mF1,q,I1] ## Calcultion of P level ## If[n=={5,0,1/2},v={2*Pi*2.998*10^8/(-7802.4*10^-10),3.843*10^7}, If[n=={6,0,1/2},v={2*Pi*2.998*10^8/(13668.7*10^-10),1.451*10^7}, If[n=={7,0,1/2},v={2*Pi*2.998*10^8/(7410.2*10^-10),4.536*10^6}, If[n=={8,0,1/2},v={2*Pi*2.998*10^8/(6161.3*10^-10),2.169*10^6}, If[n=={4,2,3/2},v={2*Pi*2.998*10^8/(15292.6*10^-10),1.864*10^6}, If[n=={4,2,5/2},v={2*Pi*2.998*10^8/(15293.7*10^-10),1.119*10^7}, If[n=={5,2,3/2},v={2*Pi*2.998*10^8/(7759.436*10^-10),4.161*10^5}, If[n=={5,2,5/2},v={2*Pi*2.998*10^8/(7757.651*10^-10),4.318*10^6}, If[n=={6,2,3/2},v={2*Pi*2.998*10^8/(6299.225*10^-10),3.876*10^5}, If[n=={6,2,5/2},v={2*Pi*2.998*10^8/(6298.325*10^-10),4.042*10^6} v=shiftJJP3[5,0,1/2,J1,F1,mF1,q,I1]+ shiftJJP3[6,0,1/2,J1,F1,mF1,q,I1]+ shiftJJP3[7,0,1/2,J1,F1,mF1,q,I1]+ shiftJJP3[4,2,3/2,J1,F1,mF1,q,I1]+ shiftJJP3[4,2,5/2,J1,F1,mF1,q,I1]+ shiftJJP3[5,2,3/2,J1,F1,mF1,q,I1]+ shiftJJP3[5,2,5/2,J1,F1,mF1,q,I1]