Polarizability and magic wavelength of Yb + clock transition 2 S 1/2 → 2 D 3/2

Differential static polarizability and black body radiation (BBR) shift for Ytterbium ion ( 171 Yb + ) clock transition from ground state 2 S 1/2 to metastable state 2 D 3/2 corresponding to the wavelength 435.5 nm are calculated accurately for frequency standard applications. The values are found to be −7.5(5) × 10 −40 Jm 2 /V and −0.4(1) Hz, respectively, which are well in agreement with pre-available data and more accurate than the previous theoretical results. We further determine the values of dynamic polarizability of these states to find out the magic and tune-out wavelengths for the above mentioned clock transition.