Atomic Resonance and Scattering

Prof. Daniel Kleppner Prof. David E. Pritchard

Riad N. Ahmad Jerome Apt III Timothy A. Brunner William E. Cooke

Academic and Research Staff Prof. Dieter Zimmermann Dr. Theodore W. Ducas Graduate Students Martin C. Kaplan Walter P. Lapatovich Michael G. Littman Dr. Richard R. Freeman Dr. Rudolph G. Suchannek William D. Phillips Naser S. Saleh John A. Serri Myron L. Zimmerman

A. OPTICAL FREQUENCY STANDARD

Joint Services Electronics Program (Contract DAAB07-75-C-1346) Riad N. Ahmad, Walter P. Lapatovich, David E. Pritchard

We have taken test spectra of Na2 in a supersonic molecular beam consisting

pri-marily of Ar or Ne. Use of a supersonic molecular beam has two advantages: the Dop-pler width of the transition is reduced because the beam motion is perpendicular to the laser beam, and the gas expansion cools the molecules into the lowest vibrational and rotational states. A sample spectrum is shown in Fig. IV-1.

IA

Fig. IV-1. Soectrum of seeded Na. molecular beam near 6020 A. N etiv

JSEP

T

Z

₀

--(positive) marker pulses are separated 0. 019 A (0. 159 A).

The test spectra show a 0. 002 A linewidth. From day to day, the line position varies

JSEP

B.

VELOCITY DEPENDENCE OF ENERGY TRANSFER CROSS

SECTIONS

Joint Services Electronics Program (Contract DAABO7-75-C-1346)

Jerome Apt, David E. Pritchard

We have measured the velocity dependence of fine-structure changing cross sections

between Na and the target gases Ne, Ar, Kr, Xe, N

, and CO

These measurements

were made with the use of our technique of velocity selection based on the Doppler shift

which permits the measurement of the velocity dependence of collision cross sections

31 0.5 0.2 Na +Xe A AA 4At I I I I I t L i 14 1.6 -7, 0_

o

F

Fig. IV-2.

Velocity dependence of Na-Xe fine-structure changing cross

1

3

section for j =~- = -. Lower section shows rms velocity

resolution achieved by our velocity-selection Doppler-shift

(VSDS) technique.

in a gas cell, in contrast to the usual and more cumbersome crossed molecular beam

machines.

Typical results are shown in Fig. IV-2 for the process

Na(3P

/2)

Na(3P

) +

where AE is the amount of translational energy that goes into exciting the fine structure

JSEP

of Na.

JSEP Measurements of fine-structure changing collisions such as this one are important

both for comparison with recent theory2

and because this process is an important col-lision process in fine-structure lasers such as the high-power atomic iodine laser.

References

1. _{W. D. Phillips and D. E. Pritchard, Phys. Rev. Letters 33, 1254-1257 (1974).} 2. _{J. Pascale and R. E. Olson, J. Chem. Phys. 64, 3538 (1976).}

C.

ELECTRIC FIELD IONIZATION RATES OF SELECTED

STARK STATES IN SODIUM

Joint Services Electronics Program (Contract DAAB07-75-C-1346) Michael G. Littman, Myron L. Zimmerman, Daniel Kleppner

We have undertaken to study electric field ionization by tunneling in Rydberg states of sodium, n = 12-15. _{We have studied the rm! = 2 states, which are well described} by hydrogenic theory. _{The theory of ionization by tunneling has been developed by} sev-eral workers. _{In particular, Bailey, Hiskes, and Riviere have calculated rates for} states up to n = 25. Early spectroscopic observations for low levels (n< 6

) are in agree-ment with theory. _{Field ionization studies for statistical population distributions of} Stark states with larger values of n have been carried out,5

' 6 but to our knowledge there have been no direct measurements of spontaneous ionization rates from selected Stark sublevels. _{Using pulsed excitation, we have observed ionization of atoms in a} beam. The apparatus has been described elsewhere.7_{, 8 Ionization rates were}

mea-sured by direct observation of ion current vs time and in some instances by observation of level broadening.

The lowest level in each manifold ionizes at a rate that is in general agreement with the results of Bailey et al.4

For many levels, however, we find striking disagree-ment. _{Their theory predicts that ionization rates increase with field in a rapid} mono-tonic fashion and the redder states of a given manifold (i. e., those farthest from the ionization limit) ionize first as the field is increased. We find that the bluer compo-nents ionize first, the rates for these states are not monotonic, and the onset of ioniza-tion occurs at fields that in some cases are a factor of 2-3 smaller than predicted.

The anomalous ionization phenomena appear to be due to interactions with higher lying terms. The essential mechanism is as follows: numerous level anticrossings can occur before the level of interest ionizes according to the theory of Bailey et al. If the anticrossing occurs with a level from a higher term with a large ionization rate, then the level of interest will also ionize because of level mixing. Data exhibiting these JSEP

JSEP I S t i o I I I i o pheomw in F _I . LL 13- 12-I I I I I 1 I I 660 680 720 740 ENERGY (cm -1 )

Fig. IV-3. Spontaneous ionization of Rydberg states of Na.

phenomena are shown in Fig. IV-3.

Excitation curves obtained by scanning a pulsed dye laser for increasing electric fields constitute the data. Energy is measured from the ionization limit. The signal

is generated by ions collected following a 200 -ns delay after excitation. The disappear-ance of a signal indicates that the lifetime of the level has fallen below 200 ns because of ionization by tunneling. In regions of long tunneling lifetimes, the signal is due pri-marily to a small amount of collisional ionization. In Fig. IV-3 the straight lines indi-cate the positions of levels with m = 2. These levels are essentially hydrogenic and are labeled with the parabolic quantum numbers (n, nI , n2, m). Unlabeled peaks are due

to the m = 0 and 1 levels. "A" indicates where the long-lived state (12, 6, 3, 2) quenches because of mixing with the short-lived state (14, 0, 11,2). Quenching phenom-ena of this type, which can lead to violation of the "no crossing" theorem, have been described by Lamb.9 Level (12, 7, 2, 2) ionizes at "B" because of mixing with very broad n = 15 levels; the result essentially is premature ionization. In the absence of level mixing, state (12, 7, 2, 2) would disappear at ~25 kV/cm.

References 1. C. Lanczos, Z. Physik 68, 204 (1931).

2. M. H. Rice and R. H. Good, J. Opt. Soc. Am. 52, 239 (1962). 3. J. Hirshfelder and L. Curtiss, J. Chem. Phys. 53, 1395 (1971). 4. D. Bailey, J. Hiskes, and A. Riviere, Nucl. Fusion 5, 41 (1965).

5. A. Riviere, in Methods of Nuclear Physics (Academic Press, Inc., New York, 1968), JSEP p. 208.

6. R. Il'in, in Atomic Physics 3 (Plenum Press, New York, 1973), p. 309. JSEP 7. T. W. Ducas, M. G. Littman, R. R. Freeman, and D. Kleppner, Phys. Rev.

Let-ters 35, 366 (1975).

8. M. G. Littman, M. L. Zimmerman, T. W. Ducas, R. R. Freeman, and D. Kleppner, Phys. Rev. Letters 36, 788 (1976).