- Use Our First Order Perturbation Result For The Ground State Energy Of The Two Electron Atom Helium To Approximate The 1 (168.3 KiB) Viewed 39 times
- Use Our First Order Perturbation Result For The Ground State Energy Of The Two Electron Atom Helium To Approximate The 2 (105.68 KiB) Viewed 39 times
Use our first-order perturbation result for the ground state energy of the two electron atom (Helium) to approximate the ground state energy for each of the following two electron atoms. The "exact" solution for the energy is as given. Determine the percentage error for each case. What trend do you notice? Explain. 27.211] (for units atom Estact [a.u.] ion enersy H -0.52759 Scound state -14.356 -198.096 O Lif -7.27991 Be² -13.65556 -374.586 B3+ -22.03097 -599.491 -32.40624 7298.04 1000 = 7.298 14948.7/1000 = 14.8487 25,025,8/1000 = 25.0258 37,831/1000 = 0.037831 53.166.11000 = 0.033266 74,330/1000 = 0.07173 92.038 /1000 = 6.09 20 38 115.379 /1000 = 0.443374 -44.78144 -881.816 -1218.562 -1609.728 - 2035, 346 -2555.326 -59.15659 -75.53171 -93.90680 F7+ Ne8+ ("Exact" means a non-relativistic approximation to thirteenth order in Z-¹.) N5+ 06+
EGS = Ecs + EGS 5 = = EHe+,1s + EHe+,1s + ZEH = -74.8eV 4 1st Order Perturbation Theory Indep. e Model w/Zeff=+1.6875 Experimental Independent e Model -74.8 -77.49 -78.986 Energy 0 -108.8 1s 2