As the orbit number increases, the difference in two consecutive energy levels — Atomic Structure Chemistry Question

💡 Solution & Explanation

The energy difference between two consecutive levels is given by Δ E = E_(n+1) - E_n = 13.6 * Z^2 * (1/n^2 - 1/(n+1)^2). As the orbit number n increases, both terms 1/n^2 and 1/(n+1)^2 decrease rapidly, causing their difference Δ E to decrease and asymptotically approach zero as n goes to ∞.