Physical Review A

Pressure shifts and broadenings of Rb Rydberg states by Ne, Kr, and H2

Douglas C. Thompson, E. Kammermayer, Boris Peter Stoicheff, E. Weinberger

Published Sep 1, 1987• 26 citations

Abstract

Broadening and shift rates for Rb $^{2}\mathrm{S}$ and $^{2}\mathrm{D}$ Rydberg states with principal quantum number n\ensuremath{\sim}10--50 have been measured for Ne, Kr, and ${\mathrm{H}}_{2}$ perturbers, using the technique of Doppler-free two-photon spectroscopy. From the shift rates at high n, we derived electron scattering lengths of (0.24\ifmmode\pm\else\textpm\fi{}0.01)${a}_{0}$ for Ne, (-4.0\ifmmode\pm\else\textpm\fi{}0.3)${a}_{0}$ for Kr, and (1.64\ifmmode\pm\else\textpm\fi{}0.07)${a}_{0}$ for ${\mathrm{H}}_{2}$. For Ne and Kr, these are in good agreement with other experimental values. Also, the n dependence of broadening and shift rates follows theoretical predictions for Ne and Kr, but not for ${\mathrm{H}}_{2}$.

DOI: 10.1103/physreva.36.2134

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Physical Review A

Pressure shifts and broadenings of Rb Rydberg states by Ne, Kr, and H2

Douglas C. Thompson, E. Kammermayer, Boris Peter Stoicheff, E. Weinberger

Published Sep 1, 1987• 26 citations

Publisher

Abstract

Broadening and shift rates for Rb

^{2}\mathrm{S}

and

^{2}\mathrm{D}

Rydberg states with principal quantum number n\ensuremath{\sim}10--50 have been measured for Ne, Kr, and

{\mathrm{H}}_{2}

perturbers, using the technique of Doppler-free two-photon spectroscopy. From the shift rates at high n, we derived electron scattering lengths of (0.24\ifmmode\pm\else\textpm\fi{}0.01)

{a}_{0}

for Ne, (-4.0\ifmmode\pm\else\textpm\fi{}0.3)

{a}_{0}

for Kr, and (1.64\ifmmode\pm\else\textpm\fi{}0.07)

{a}_{0}

for

{\mathrm{H}}_{2}

. For Ne and Kr, these are in good agreement with other experimental values. Also, the n dependence of broadening and shift rates follows theoretical predictions for Ne and Kr, but not for

{\mathrm{H}}_{2}

DOI: 10.1103/physreva.36.2134

Related papers

Frequency shifts and line broadenings in collisions between Rydberg and ground-state alkali-metal atoms

Douglas C. Thompson, E. Weinberger, Guoqing Xu +1 more

The technique of Doppler-free two-photon spectroscopy was used to measure rates for line broadenings and frequency shifts of Rydberg levels with pressure. Measurements were made of spectra of $^{2}\mathrm{S}$ and $^{2}\mathrm{D}$ states (with n\ensuremath{\sim}10--40) for ${\mathrm{Rb}}^{\mathrm{*}\mathrm{*}}$ +Rb and ${\mathrm{K}}^{\mathrm{*}\mathrm{*}}$ +K, and of $^{2}\mathrm{S}$ states (with n=14--29) for ${\mathrm{K}}^{\mathrm{*}\mathrm{*}}$ +Rb. Large oscillations are observed in both broadening and shift rates for n\ensuremath{\sim}20--30 in all series except for the $^{2}\mathrm{D}$ series in ${\mathrm{Rb}}^{\mathrm{*}\mathrm{*}}$ +Rb. Overall rates for broadening and shift are compared with a theory based on the ``free-electron'' model. The observed oscillations are inconsistent with theories based on the resonance scattering of the Rydberg electron by the perturbing atom. A possible alternative mechanism related to interference in l-mixing collisions is suggested.The technique of Doppler-free two-photon spectroscopy was used to measure rates for line broadenings and frequency shifts of Rydberg levels with pressure. Measurements were made of spectra of $^{2}\mathrm{S}$ and $^{2}\mathrm{D}$ states (with n\ensuremath{\sim}10--40) for ${\mathrm{Rb}}^{\mathrm{*}\mathrm{*}}$+Rb and ${\mathrm{K}}^{\mathrm{*}\mathrm{*}}$+K, and of $^{2}\mathrm{S}$ states (with n=14--29) for ${\mathrm{K}}^{\mathrm{*}\mathrm{*}}$+Rb. Large oscillations are observed in both broadening and shift rates for n\ensuremath{\sim}20--30 in all series except for the $^{2}\mathrm{D}$ series in ${\mathrm{Rb}}^{\mathrm{*}\mathrm{*}}$+Rb. Overall rates for broadening and shift are compared with a theory based on the ``free-electron'' model. The observed oscillations are inconsistent with theories based on the resonance scattering of the Rydberg electron by the perturbing atom. A possible alternative mechanism related to interference in l-mixing collisions is suggested.

Physical Review AJan 1, 198735 citations

Pressure shift and broadening of Rydberg states with high principal quantum numbers (11 ≤ n ≤ 150)

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J -Q Sun, P. J. West

The impact broadening rates of Rb ns Rydberg levels by He, Ar and Xe atoms measured by Weber and Niemax (1982) and by Ne and Kr atoms observed by Thompson et al. (1987) are quantitatively explained over the whole range of the principal quantum number n. As Rb ns Rydberg levels (quantum defect delta =3.13) are very close to the nearly hydrogenic high l levels, inelastic collisions make as important a contribution to the broadening rates as elastic collisions. The authors derive the cross sections for the elastic and inelastic using a combination of Kaulakys' (1984) and Lebedev and Marchenko's (1985) impact theories. Good agreement between the theoretical and experimental broadening rates is achieved over the whole range of n.The impact broadening rates of Rb ns Rydberg levels by He, Ar and Xe atoms measured by Weber and Niemax (1982) and by Ne and Kr atoms observed by Thompson et al. (1987) are quantitatively explained over the whole range of the principal quantum number n. As Rb ns Rydberg levels (quantum defect delta =3.13) are very close to the nearly hydrogenic high l levels, inelastic collisions make as important a contribution to the broadening rates as elastic collisions. The authors derive the cross sections for the elastic and inelastic using a combination of Kaulakys' (1984) and Lebedev and Marchenko's (1985) impact theories. Good agreement between the theoretical and experimental broadening rates is achieved over the whole range of n.

Journal of Physics B Atomic Molecular and Optical PhysicsNov 28, 19907 citations

Scalar polarizabilities and avoided crossings of high Rydberg states in Rb

Maurice S. O'Sullivan, Boris Peter Stoicheff

Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of $n^{2}S$ Rydberg states of $^{85}\mathrm{Rb}$ (for $n=15 \mathrm{to} 80$ ). Scalar polarizabilities ${\ensuremath{\alpha}}_{0}$ were found to obey the relation ${\ensuremath{\alpha}}_{0}[\mathrm{in}\mathrm{MHz}/{(\mathrm{V}/\mathrm{cm})}^{2}]=2.202(28)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}{n}^{*6}+5.53(13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}{n}^{*7}$, in good agreement with theoretical values. Avoided crossings were also determined, and first avoided crossings (with the $n\ensuremath{-}3$ manifold of levels) fitted the relation $E(\mathrm{in}\mathrm{V}/\mathrm{cm})=4.638(6)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{8}}{{n}^{*5}}+1.528(18)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{10}}{{n}^{*7}}$.Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of $n^{2}S$ Rydberg states of $^{85}\mathrm{Rb}$ (for $n=15 \mathrm{to} 80$). Scalar polarizabilities ${\ensuremath{\alpha}}_{0}$ were found to obey the relation ${\ensuremath{\alpha}}_{0}[\mathrm{in}\mathrm{MHz}/{(\mathrm{V}/\mathrm{cm})}^{2}]=2.202(28)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}{n}^{*6}+5.53(13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}{n}^{*7}$, in good agreement with theoretical values. Avoided crossings were also determined, and first avoided crossings (with the $n\ensuremath{-}3$ manifold of levels) fitted the relation $E(\mathrm{in}\mathrm{V}/\mathrm{cm})=4.638(6)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{8}}{{n}^{*5}}+1.528(18)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{10}}{{n}^{*7}}$.

Physical Review AApr 1, 198537 citations

Broadening and shift rates for Rb

^{2}\mathrm{S}

and

^{2}\mathrm{D}

Rydberg states with principal quantum number n\ensuremath{\sim}10--50 have been measured for Ne, Kr, and

{\mathrm{H}}_{2}

perturbers, using the technique of Doppler-free two-photon spectroscopy. From the shift rates at high n, we derived electron scattering lengths of (0.24\ifmmode\pm\else\textpm\fi{}0.01)

{a}_{0}

for Ne, (-4.0\ifmmode\pm\else\textpm\fi{}0.3)

{a}_{0}

for Kr, and (1.64\ifmmode\pm\else\textpm\fi{}0.07)

{a}_{0}

for

{\mathrm{H}}_{2}

. For Ne and Kr, these are in good agreement with other experimental values. Also, the n dependence of broadening and shift rates follows theoretical predictions for Ne and Kr, but not for

{\mathrm{H}}_{2}

The technique of Doppler-free two-photon spectroscopy was used to measure rates for line broadenings and frequency shifts of Rydberg levels with pressure. Measurements were made of spectra of

^{2}\mathrm{S}

and

^{2}\mathrm{D}

states (with n\ensuremath{\sim}10--40) for

{\mathrm{Rb}}^{\mathrm{*}\mathrm{*}}

+Rb and

{\mathrm{K}}^{\mathrm{*}\mathrm{*}}

+K, and of

^{2}\mathrm{S}

states (with n=14--29) for

{\mathrm{K}}^{\mathrm{*}\mathrm{*}}

+Rb. Large oscillations are observed in both broadening and shift rates for n\ensuremath{\sim}20--30 in all series except for the

^{2}\mathrm{D}

series in

{\mathrm{Rb}}^{\mathrm{*}\mathrm{*}}

+Rb. Overall rates for broadening and shift are compared with a theory based on the ``free-electron'' model. The observed oscillations are inconsistent with theories based on the resonance scattering of the Rydberg electron by the perturbing atom. A possible alternative mechanism related to interference in l-mixing collisions is suggested.

Self-broadenings and frequency shifts of

{n}^{2}S

and

{n}^{2}D

Rydberg levels (up to $n\ensuremath{\sim}70$) have been measured for rubidium in the pressure range of 3 to 100 mTorr, and the general dependence on principal quantum number

n

has been established for this low-pressure regime. A closer examination has revealed large (almost evenly spaced) oscillations in the dependence of linewidth on principal quantum number for the

^{2}S

levels in the region of largest linewidth ($n\ensuremath{\sim}20 \mathrm{to} 30$).

Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of

n^{2}S

Rydberg states of

^{85}\mathrm{Rb}

(for

n=15 \mathrm{to} 80

). Scalar polarizabilities ${\ensuremath{\alpha}}_{0}$ were found to obey the relation ${\ensuremath{\alpha}}_{0}[\mathrm{in}\mathrm{MHz}/{(\mathrm{V}/\mathrm{cm})}^{2}]=2.202(28)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}{n}^{*6}+5.53(13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}{n}^{*7}$, in good agreement with theoretical values. Avoided crossings were also determined, and first avoided crossings (with the $n\ensuremath{-}3$ manifold of levels) fitted the relation $E(\mathrm{in}\mathrm{V}/\mathrm{cm})=4.638(6)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{8}}{{n}^{*5}}+1.528(18)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{10}}{{n}^{*7}}$.