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