Asymmetry of M+(H2O)RG Complexes, (M=V, Nb) Revealed with

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+
Na+
Asymmetry of M+(H2O)RG Complexes, (M=V, Nb) Revealed with
Infrared Spectroscopy
Timothy B Ward, Evangelos Miliordos, Sotiris Xantheas,
Michael A Duncan
Metal-cation water complexes
+
V (H2O)n
4
1
10
15
20
• Selectivity
• Sensitivity
50 100 150 200 250 300 350 400 450 500 550 600 650 700
m/z
Mass-Selected Ion Photodissociation Spectroscopy
V+(H2O)Ar2
Mass gate on
-Ar
Fragmentation
at 3683 cm-1
0
+ hïŪ (IR) 
50
-Ar
100
150
200
Cation-water interactions
• Red shift in the OH stretches
• Changes due to polarization removes density
along O-H bonds
• Free water has ratio of Isym/Iasym 1:18
• Symmetric stretch gains intensity from charge
oscillation along symmetry axis
Cu+(H2O)Ar2
symmetric stretch,
parallel type band
3622
3696
asymmetric stretch,
perpendicular type band
+
Cu (H2O)Ar2
asymmetric stretch-bend
combination
3762
3500
3600
3700
cm
-1
3800
3900
JPCA 113, 4849 (2009)
3657
3683
+
V +(H2O)Ar2
• Many metal ion water
complexes have been
studied
• In most case Ar-M
binding energy strong,
requiring tagging with
multiple Ar atoms
3756
V (H2O)Ar2
3622
3696
+
Cu+((H
2
Cu
H22O)Ar
O)Ar
2
3611
3762
3697
3500
3500
3600
cm
3700
(H23O)Ar3
Co+Co
(H2O)Ar
3800
3624
-1
3846
3500
3600
3700
-1
cm
3800
3700
cm
+
3400
3600
3900
-1
3800
3900
Sym
Asym
ðđ ð―, ðū = ðĩð― ð― + 1 + ðī − ðĩ ðū 2
• A special situation
happen if:
• Tagging with one
Ar
• Ar is on C2 axis
with metal-water
para
K’ = 2
v=1
• Treat as prolate
symmetric trop
ortho
4A’
K’ = 1
K‘ = 0
1x
3x
K“ = 1
v=0
JCP 134, 014302 (2011)
2A’’
K“ = 0
Cation Binding Increase H-O-H Angle
Ca+
+
Mg
• Using A” we can calculate the
HOH bond angle, if we
assume that the OH bond
length is constant
O
• This has been done for several
cation-water complexes
o
o
2.22 A
2.03 A
O
H
H
O
H
H
104.5o
106.8o
110.6o
JPCA 109, 7057 (2005)
JCP 104, 4591 (1996)
Cr+
Li+
O
O
H
H
106.3o
H
H
H
PCCP 8, 3078 (2006)
111.9o
H
JPCA 112, 6237 (2008)
Nb+(H2O)Ar is different!
Nb+(H2O)Ar
• Still seem to have two
OH stretch bands, that
are red shifted
• Asymmetric stretch still
looks to have rotational
structure, but different
pattern
PGOPHER
Simulation
3500
Duncan and co-workers, J. Chem. Phys., 2011, 134,
3550
3600
3650
cm
-1
3700
3750
3800
• Ne tagging shows that we only
have two OH stretches
Vanadium-water also has unusual pattern
• Same rotational intensity issue
arises in V+(H2O)Ar
3604
V+(H2O)Ar
3673
3589
3673
3589
3705
3694
3667
3692
3674
3684
3630
3650
Nb+(H2O)Ar
Nb+(H2O)Ne
3665
3500
3500
3550
3600
3650
cm
-1
3700
3750
3800
3550
3600
3650
cm
-1
3700
3750
3800
Theory by E. Miliordos and S.S. Xantheas at Pacific Northwest National Lab
Nb+(H2O)
• icMRCI and CCSD(T) methods
• aug-cc-pVQZ for H, O, and Ar
• cc-pVQZ for V
• cc-pVQZ-PP for Nb
• Calculations show C2v for the metal-water
• Argon however is off axis
v=2
v=1
v=0
• V also has out of plane Ar
V+(H2O)
• This explains smaller spacing but not
intensities
v=2
v=1
v=0
PGOPHER
Simulation
3500
3550
3600
3650
cm
-1
3700
3750
3800
Need an effect to change line intensities
How to probe ortho-para mixing?
Isotropic Fermi Contact from Xantheas and Miliordos
•
Isotopic Fermi Contact
• Here it defines interaction of 1H
nuclear spin with clusters total
electronic spin
• ak, bk, and ck are the three
eigenvalues of the spin-dipole
tensor
•
ðŧ hf =
•
The hamiltonian for the interaction
between two magnetic moments
(nuclear and electronic)
•
Nb and V much greater than Sc
K
ðīK 𝑆 ∙ 𝐞K +𝑆 𝐁𝐊 𝐞K
Normal 3:1 ortho-para ratio
Constant
M = Sc (3Α1)
(MHz)
M = V (5B1)
(MHz)
M = Nb (5B1)
(MHz)
AK
0.42
2.17
3.46
ak
-4.28
-13.01
-11.76
bk
-3.88
-12.98
-10.12
ck
8.16
25.99
21.87
Nb+(H2O)Ar
A” = 11.5 cm-1
B”/C”= 0.0476 cm-1
A’ = 10.5 cm-1
B’/C’= 0.0476 cm-1
T = 40 K
Ortho-Para mixed
PGOPHER
Simulation
B.O.sym = 3589 cm-1
B.O.asym = 3662 cm-1
Ortho-Para 3:1
PGOPHER
Simulation
3500
3550
3600
3650
cm
-1
3700
3750
3800
V+(H2O)Ar
A” = 5.5 cm-1
B”/C”= 0.0542 cm-1
A’ = 10.5 cm-1
B’/C’= 0.0542cm-1
T = 40 K
Ortho-Para mixed
PGOPHER
Simulation
B.O.sym = 3604 cm-1
B.O.asym = 3690 cm-1
Ortho-Para 3:1
PGOPHER
Simulation
3500
3550
3600
3650
cm
-1
3700
3750
3800
Conclusions
• Ar seems to be out of C2v plane, lowering the value of A” and A’ for both Nb and V
• Nb and V are examples where nuclear spin is catalyzing ortho-para interconversion
• Rate is approximately 106 s-1
• This compares well reasonably with Tanaka and co-workers 1.2*105 s-1 torr-1 for open-shelled vinyl radical
Acknowledgements
• Michael Duncan
• The Duncan lab
• Sotiris Xantheas
• Evangelos Miliordos
• Gary Douberly
• Department of Energy
• University of Georgia
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