Supplementary material: Detailed documentation (.html), and Jupyter notebook with examples and benchmarking runs (.html and. This CalcTown Calculator calculates the wavelength and frequency generated by quantum leap of an electron in any hydrogen-like atom according to the Rydberg formula. (Instructions for the calculation we will be using are shown below.) a. Purpose of use Calculation of Rydbergs constant in Joules up to 30 digits. Restrictions: External electric field fixed to be parallel to quantisation axis. Purpose of use High-precision calculation of rapidities (hyperbolic angles). Properties are calculated using second order perturbation theory or exact diagonalisation of the interaction Hamiltonian, yielding results valid even at large external fields or small interatomic separation.
Solution method: Numerical integration of radial Schrödinger equation to obtain atomic wavefunctions, which are then used to evaluate dipole matrix elements. This calculation requires careful attention to units. Nature of problem: Calculating atomic properties of alkali atoms including lifetimes, energies, Stark shifts and dipole–dipole interaction strengths using matrix elements evaluated from radial wavefunctions. Using the following equation calculate a value for R in cm-1 (i.e. You can also use a modified version of the Rydberg equation to calculate the frequency of each of the. Programming language: Python 2.7 or 3.5, with C extensionĮxternal Routines: NumPy, SciPy, Matplotlib RH is a constant known as the Rydberg constant. Program Title: ARC: Alkali Rydberg Calculator
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