institute of experimental physics 1 wolfgang e. ernst xe and rb atoms on helium nanodroplets: is the...

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EP Institute of Experimental Physics 1 Wolfgang E. Ernst EP Xe and Rb Atoms on Helium Nanodroplets: is the van der Waals Attraction Strong Enough to Form a Molecule? Johannes Poms, Andreas W. Hauser, and Wolfgang E. Ernst 68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013 Institute of Experimental Physics Research funded by Fonds zur Förderung der wissenschaftliche n Forschung & EU regional development fund (ERDF) Currently at UC Berkeley

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Institute of Experimental Physics

1 Wolfgang E. Ernst

EPXe and Rb Atoms on Helium Nanodroplets: is the

van der Waals Attraction Strong Enough to Form a Molecule?

Johannes Poms, Andreas W. Hauser, and Wolfgang E. Ernst

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Institute of Experimental Physics

Research funded by Fonds zur Förderung der wissenschaftlichen Forschung

& EU regional development fund (ERDF)

Currently at UC Berkeley

Institute of Experimental Physics

2 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Experimental achievements

85RbMarkus Koch

(currently atStanford)

Institute of Experimental Physics

3 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Experiment

Xe Rb ?

Van der WaalsXe

Does the doping sequence influence the reaction?Application as diagnostic tool for cold chemistry?

87Rb

ESR transition:F‘mF‘FmF2 +21 +1Free atom atB0=0.113595 T

Optically detected via5 2P1/2 5 2S1/2

Institute of Experimental Physics

4 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Theoretical approach

1) Select pair potentials from previous work

2) Calculate energy and density profile of undoped HeN (DFT)

3) Add single Xe, DFT simulation find confinement potential

4) Add only Rb to HeN, find binding potential Rb-HeN and requ

5) Place Rb at requ, Xe in center & obtain changed conf. pot. for Xe

6) Use Rb-He potential to correct step 5, drop fixed Rb constraint

Institute of Experimental Physics

5 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Dalfovo et al., Phys. Rev. B 1995J. Pascale, CEN Saclay 1983Cvetko et al., J. Chem. Phys. 1994Cvetko et al., J. Chem. Phys. 1994

Ad 1) Pair potentials

J. Poms, A. W. Hauser, and W. E. Ernst,PhysChemChemPhys 14, 15158 (2012)

14 to 16 He atoms in 1st shell

Ad 2 & 3) DFT simulation (Trento-Orsay density functional)

Minimize the free energy F[] with helium density:

Dopant-helium interaction

Institute of Experimental Physics

6 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Ad 3) Confinement potential for Xe

Solvation energy for Xe in HeN (N=500) S(Xe) - 280 K

Radial probability

Potential analytically described by:

(K. K. Lehmann, Mol. Phys. 1999)

With a= 588502 K Å3 and b = 29.22 Å in the Lehmann model.(a related to C6 of He-Xe potential And b to droplet radius)

Institute of Experimental Physics

7 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Ad 4) Rb on He500

Helium density distribution,

requ = 20 Å and binding (or solvation) energy - 14 K (sensitive to diatomic potential, Barranco: - 9 K)

Institute of Experimental Physics

8 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Ad 5) Double dotation of He500 with Rb and Xe, neglect direct Rb-Xe interaction

Helium density distribution: 3-dim. and radial distribution (Xe at z = 0)

Note: negligible difference between He,Rb & He,RbXe

Institute of Experimental Physics

9 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Ad 6) Double dotation of He500 with Rb and Xe, add direct Rb-Xe interaction (Rb fixed).

In a further step, drop the constraint of a fixed Rb position (by scanning over the solvation energy of Xe in He500 and simultaneously optimizing the position of the Rb atom for each point).

Blue: Rb moves deeper into droplet,potential becomes slightly deeper and steeper,but barrier reduces only from 25 to 23.4 K

Institute of Experimental Physics

10 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Ad 6) Double dotation of He500 with Rb and Xe, drop the constraint of a fixed Rb position.

Rb-Xe potential:free diatomicandRbXe embedded in helium

Vibrational states of free RbXe

and RbXe attached to He500

Institute of Experimental Physics

11 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Ad 6) Double dotation of He500 with Rb and Xe, drop the constraint of a fixed Rb position.

Rb-Xe potential:free diatomicandRbXe embedded in helium

Tunneling probability for a single Xe atom or a Xe atom surrounded by a 15 He atom shell through a one-dimensional barrier of 23.4 K height:

Significant only for energies between 22 and 25 K, not at all for 0.4 K.

Institute of Experimental Physics

12 Wolfgang E. Ernst

EPHelium density plots of a helium

nanodroplet (500 atoms) with two impuritiesHelium density plot of a helium nanodroplet with two impurities:one xenon atom is moving through the droplet one rubidium atom is allowed to move too. Animation by Johannes Poms (http://www.student.tugraz.at/poms/dichte2.html)

Johannes Poms, Andreas W. Hauser,and Wolfgang E. Ernst,Phys. Chem. Chem. Phys. 14, 15158 (2012)

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Institute of Experimental Physics

13 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Conclusions

Analyze reaction on helium nanodroplet by DFT using Orsay-Trento functional

Xe + Rb XeRb

Simulation of double-doped HeN with N = 500 shows:

1. Alkali metal atom stays on the surface, Xe resides in the droplet center,

2. Separation by a potential barrier of 23.4 K prevents reaction,

3. Consequences for the doping sequence:

a) Xe first, Rb second no reactionb) Rb first, Xe second possibly formation of RbXe on surface

vibrational excitation of RbXe may induce sinking of Xe into the droplet and controlled fragmentation.

4. Planned experiments: laser-induced fluorescence spectroscopy around alkali D-lines for each scenario, ESR spectroscopy

Institute of Experimental Physics

14 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Thank you for your attention !

Institute of Experimental Physics

15 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013

Graz, 18th - 22nd August 2014

XXIInd International Symposium on the Jahn-Teller Effect

Institute of Experimental Physics

Institute of Experimental Physics

16 Wolfgang E. Ernst

EP

68th Int. Symp. on Molecular Spectroscopy, Columbus, Ohio June 17-21, 2013