I can't explain what I observe here with the following formula:
"'(En_eV)=-(Ⓒme·Ⓒqe^4·Z^2)/(8·Ⓒε0^2·Ⓒh^2)·(1/n^2)' "
representing the energy of the fondamental level for hydrogen (with Z = 1 and n=1). With the precision of 24 decimals (db48x V0.8), which is a lot more than necessary, the SOLVER gives -14,843_eV which is not the expected well known result of -13.6_eV.
The formula is the correct one, because if I calculate by hand on the db48x, I find the correct result. Therefore, this cannot be attributed to the imprecision of the calculation or to the insufficiently precise values of the fundamental constants. What's more, the calculation of the radius of the orbit by the SOLVER gives the right result of 5.292e-11_m and starting from this radius r1 we obtain the right energy value with the relation
E1 = -e^2/(8·π·ε0·r1) = -13.6_eV
I really don't understand why the SOLVER miss that one !
I can't explain what I observe here with the following formula:
The formula is the correct one, because if I calculate by hand on the db48x, I find the correct result. Therefore, this cannot be attributed to the imprecision of the calculation or to the insufficiently precise values of the fundamental constants. What's more, the calculation of the radius of the orbit by the SOLVER gives the right result of 5.292e-11_m and starting from this radius r1 we obtain the right energy value with the relation
I really don't understand why the SOLVER miss that one !