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HCl, Morse pot fit to calc. F state (CCSD & CCSD(T); AB calc, 4.9.07): Agust,heima,.../REMPI/HCl/HCl,agust07-/HCl-Morse fit-F-070907ak.pxp & Agust,www,.../rempi/hcl/HCl,agust07-/HCl-Morse.

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Presentation on theme: "HCl, Morse pot fit to calc. F state (CCSD & CCSD(T); AB calc, 4.9.07): Agust,heima,.../REMPI/HCl/HCl,agust07-/HCl-Morse fit-F-070907ak.pxp & Agust,www,.../rempi/hcl/HCl,agust07-/HCl-Morse."— Presentation transcript:

1 HCl, Morse pot fit to calc. F state (CCSD & CCSD(T); AB calc, 4.9.07): Agust,heima,.../REMPI/HCl/HCl,agust07-/HCl-Morse fit-F-070907ak.pxp & Agust,www,.../rempi/hcl/HCl,agust07-/HCl-Morse fit-F-070907ak.ppt Fitting was performed in IGOR according to procedure: http://www.hi.is/~agust/rannsoknir/fitting.doc

2 1103918 1.0497888.7 1.0893327.7 1.1289955.7 1.1687545.7 1.1886642.7 1.285914.7 1.2285343.7 1.2484912.7 1.2684609.7 1.2884418.7 1.384330.7 1.3284333.7 1.3484417.7 1.3684574.7 1.3884795.7 1.485074.7 1.4485780.7 1.4886644.7 1.587124.7 1.5488159.7 1.5889271.7 1.6290439.7 1.6691643.7 1.792869.7 1.7494105.7 1.7895342.7 1.895958.7 1.8497182.7 1.8898389.7 1.9299572.7 1.96100728 2101853 2.04102945 2.08104004 2.12105029 2.14105529 2.18106504 2.22107447 2.26108358 2.3109239 r U calc (CCSD) 1) 1) AB´s calc, 4.9.07; F 1  state Red dots: Calc. FuncFit Fit W_coef wave26 /X=wave29 /D Fit converged properly fit_wave26= Fit(W_coef,x) W_coef={84242,37086,1.7202,1.3158} V_chisq= 837899; V_npnts= 41; V_numNaNs= 0; V_numINFs= 0; W_sigma={38.3,274,0.0112,0.000917} Coefficient values ± one standard deviation C1 = 84242 ± 38.3 C2 = 37086 ± 274 C3 = 1.7202 ± 0.0112 C4 = 1.3158 ± 0.000917 Red curve: Morse fit

3 U Morse (F;CCSD) = 84242 + 37086 (1-exp(-1.7202(r-1.3158)))**2 i.e: Fit: T0 = 84242 ± 38.3 cm-1 De = 37086 ± 274 cm-1  = 1.7202 ± 0.0112 A-1 re= 1.3158 ± 0.000917 A From exp 1) : T0= 81555.38 cm-1 De=34464.18 cm-1  =1.69331 A-1 re= 1.295 A 1) see: agust,heima,.../HCl-pot-040907.xls

4 => we and wexe can be derived from  = 0.12177 we SQRT(  HCl /De) & De = (we)**2/(4*wexe) i.e. we =  /(0.12177*SQRT(  HCl /De)) we =1.7202/(0.12177*Sqrt(0,9795925068/37086)) we = 2748.65927 cm-1 wexe=(we**2)/(4*De) wexe=(2748.65927**2/(4*37086) wexe= 50.9298 cm-1 i.e: Fit: we = 2748.65927 cm-1 wexe = 50.9298 cm-1 Exp. 1) : 2608.3 49.35 1) see: agust,heima,.../HCl-pot-040907.xls

5 Range: 1.08-1.74 A: FuncFit Fit W_coef wave2 /X=wave1 /D Fit converged properly fit_wave2= Fit(W_coef,x) W_coef={84303,32945,1.8274,1.3099} V_chisq= 10850; V_npnts= 24; V_numNaNs= 0; V_numINFs= 0; W_sigma={6.77,285,0.00944,0.0003} Coefficient values ± one standard deviation C1 = 84303 ± 6.77 C2 = 32945 ± 285 C3 = 1.8274 ± 0.00944 C4 = 1.3099 ± 0.0003

6 2) Fit, range: 1-2.3Fit range 1.08-1.74Exp. 1) T084242 ± 38.384303 ± 6.7781555.38 De37086 ± 27432945 ± 28534464.18  1.7202 ± 0.01121.8274 ± 0.009441.69331 re1.3158 ± 0.0009171.3099 ± 0.00031.295 we2748.659272752.1072608.3 wexe50.929857.47549.35 Summary: 1) see: agust,heima,.../HCl-pot-040907.xls 2) U M (r) = T0 + De (1-exp(-b(r-re)))**2 HCl, Morse pot. fit to calc. F state (CCSD; AB calc, 4.9.07): & comparison with experimental data:

7 2) Fit, range: 1-2.5Fit, range: 1.04-1.88Exp. 1) T084641 ± 52.884673 ± 1481555.38 De37504 ± 26832817 ± 30634464.18  1.6796 ± 0.01211.8189 ± 0.01091.69331 re1.3219 ± 0.001131.3135 ± 0.0005231.295 we2698.86792733.9792608.3 wexe49.5540756.9449.35 Summary: HCl, Morse pot. fit to calc. F state (CCSD(T); AB calc, 4.9.07): & comparison with experimental data: 1) see: agust,heima,.../HCl-pot-040907.xls 2) U M (r) = T0 + De (1-exp(-b(r-re)))**2

8 Conclusion: CCSD and CCSD(T) calculations predict the shape and vibrational quantum levels of the F 1  state resonably well, wherease absolute energy prediction is not equally good.


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