"Fine structure 3" -- CODATA Internationally recommended 2022 values -- https://physics.nist.gov/cuu/Constants/ alpha = 7.2973525643 10^(-3) c = 299792458.0 meter / second e = 1.602176634 10^(-19) coulomb h = 6.62607015 10^(-34) joule second me = 9.1093837139 10^(-31) kilogram mp = 1.67262192595 10^(-27) kilogram joule = kilogram meter^2 / second^2 eV = 1/e coulomb / joule "eV" -- eV per joule mu = me mp / (me + mp) -- reduced electron mass E(n,j) = -mu c^2 (1 - 1 / sqrt(1 + (alpha / (n - j - 1/2 + sqrt((j + 1/2)^2 - alpha^2)))^2)) Delta(n1,j1,n2,j2) = E(n1,j1) - E(n2, j2) h c / Delta(3, 1/2, 2, 1/2) 10^9 "nm" / meter h c / Delta(3, 1/2, 2, 3/2) 10^9 "nm" / meter h c / Delta(3, 1/2, 2, 1/2) 10^9 "nm" / meter h c / Delta(3, 3/2, 2, 1/2) 10^9 "nm" / meter h c / Delta(3, 3/2, 2, 1/2) 10^9 "nm" / meter h c / Delta(3, 3/2, 2, 3/2) 10^9 "nm" / meter h c / Delta(3, 5/2, 2, 3/2) 10^9 "nm" / meter Run