Journal of Physics Conference Series

Energy intervals between Rydberg statesnDandnFin lithium-7

Sergey A. Saakyan, Vladimir A. Sautenkov, Boris B. Zelener

Published Nov 1, 2016• 2 citations

Abstract

Using recently developed diagnostic technique we measured the frequency intervals between Rydberg states nF and nD ( n = 38-48) of lithium-7 atoms. The obtained value of the quantum defect δ F for Rydberg states nF is 0.000478(24).

DOI: 10.1088/1742-6596/774/1/012165

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Journal of Physics Conference Series

Energy intervals between Rydberg statesnDandnFin lithium-7

Sergey A. Saakyan, Vladimir A. Sautenkov, Boris B. Zelener

Published Nov 1, 2016• 2 citations

Publisher

Abstract

DOI: 10.1088/1742-6596/774/1/012165

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We report a measurement of the fine structure interval of the

^{7}\mathrm{Li}

10p

atomic state with a precision significantly better than previous measurements of fine structure intervals of Rydberg

^{7}\mathrm{Li}

p

states. Our result of

74.97(74)

MHz provides an experimental value for the only

n=10

fine structure interval which is yet to be calculated. We also report a measurement of the absolute energy of the

10p

state and its quantum defect, which are, respectively, $42379.498(23){\mathrm{cm}}^{\ensuremath{-}1}$ and

0.04694(10)

. These results are in good agreement with recent calculations.

We present calculations of high Rydberg states for the lithium atom by two different theoretical methods. The first method is based on the

R

-matrix theory to obtain the energy levels and the quantum defects for the

1{s}^{2}nd\phantom{\rule{0.2em}{0ex}}^{2}D

and

1{s}^{2}nf\phantom{\rule{0.2em}{0ex}}^{2}F

states and their adjacent continuum states. Then the quantum defect functions of the two channels are obtained which vary smoothly with energy based on quantum defect theory. The second method is based on the full core plus correlation method. Our results are compared with data in the literatures; especially the results of the

R

-matrix method are in excellent agreement with microwave measurements for the lithium atom.

Using a laser-excitation, optical-detection scheme, we have observed microwave transitions from the

\mathrm{nd}

to the

\mathrm{nf}

and

\mathrm{ng}

orbital levels in lithium states with principal quantum number

n

from 7 to 11. These measurements yield precise values for the

d

f

, and

g

state fine-structure intervals as well as $d\ensuremath{-}f$ and $d\ensuremath{-}g$ energy separations. Within the accuracy of these measurements, the fine structures are found to be hydrogenic. The dipole polarizability of the

{\mathrm{Li}}^{+}

core is determined from the $d\ensuremath{-}f$ and $d\ensuremath{-}g$ energy splittings. The $d\ensuremath{-}f$ intervals are compared to pseudopotential calculations.