The Solution of Capture-Cascade Equations for Hydrogen

Calculations are made for T = 2.5 × 10 3 , 5 × 10 3 , 1 × 10 4 and 2 × 10 4 °K taking an infinite number of levels into account but assuming that |bₙₗ=[(2l+I)/n²]bₙ| . The results obtained by Baker and Menzel are shown to be in error by about 5 per cent for Case A and 20 per cent for Case B. An improved method of calculation results from the introduction of the cascade matrix, the elements C n'n giving the total probability of the |n^→ n| transition when all cascade routes are taken into account.