A324033 - OEIS

%I #8 Feb 13 2019 08:17:40

%S 2,6,1,4,8,3,0,4,8,2,2,8,5,6,1,5,6,8,6,3,7,6,1,9,7,1,9,3,0,3,9,8,5,4,

%T 1,6,1,4,3,6,2,7,6,8,8,3,1,5,3,6,5,3,3,6,5,2,7,2,7,2,3,7,9,6,4,9,7,9,

%U 6,4,3,6,8,6,1,0,9,5,8,7,6,7,2,8,5,3,9,1,6,4,9,7,4,0,8,9,3,6,2,4,0,1,7,5,4,8,1

%N Decimal expansion of the conversion factor from the old derived SI unit lm (lumen) to the combination of 2019 SI units K_{cd}*h*(Δν_{Cs})^2.

%C For the seven units of the 2019 SI system of units see the BIPM link with the resolutions of the CGPM, and A322415.

%C The 2010 SI unit K_{cd} is the luminous efficacy of monochromatic radiation of frequency 540 x 10^{12} Hz, given by K_{cd} = 683 lm/W  = 683 cd sr s^3 kg^{-1} m^{-2}, with the old SI unit cd and the derived unit sr = steradian.

%H BIPM, <a href="https://www.bipm.org/en/cgpm-2018/">CGPM-2018</a> [See the link "Resolutions of the CGPM" there.]

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/2019_redefinition_of_SI_base_units">2019 redefinition of SI base units</a>

%F 1 lm =  (1/638) K_{cd}*W = 1/(683*662607015*(9192631770)^2)*10^{42} K_{cd}*h*(Δν_{Cs})^2 = 2.614830482285615686376197193039854161436276883153653365272723... x 10^{10} K_{cd}*h*(Δν_{Cs})^2 .

%Y Cf. A003676 (h), A230458 (Δν_{Cs}), A322415.

%K nonn,cons,easy

%O 10,1

%A _Wolfdieter Lang_, Feb 13 2019