UMR 8587 CNRS / Evry University / CEA (NUCLEAR ENERGY DIVISION), France

Hydrolysis of hard cations, a molecular dynamics study Magali Duvail UMR 8587 Evry University (France) Supervisor: Thierry Cartailler co-supervising: Marc Souaille

PhD Thesis started on October 2004

UMR 8587 CEA Saclay DPC/SECR co-supervising: Pierre Vitorge

Context Aqueous Radio-Chemistry in nuclear fuel cycles, waste disposals and environment

Objectives Modelling the hydration of La3+, a cation analogue to lanthanides(III) fission products, Am3+, Cm3+ and Pu3+ Parametrization of a model potential for molecular dynamics simulations.

Methodology

First results

Potential:

1. Molecular dynamics simulations

1. Definition

216 water molecules

Temperature: 298 K

Length of the cubic box: 18.643 Å

Model potential:

Coordination number

E = V Coul + V pol + V LJ + V TF The Coulomb electrostatic term is given by:

e 2 qi q j 4πε 0 rij

Polarisation…

V pol = −

(

1 ∑ μ i Ei0 2 i

)

μ i = α Ei

E i = E i0 +

1 4πε 0

∑ (T μ j ≠i

ij

j

g(La,O)

VijCoul ( rij ) =

)

Short-range interactions were accounted for by using12-6 Lennard-Jones Potential:

⎡⎛ σ V ijLJ ( r ij ) = 4 ε ij ⎢ ⎜⎜ ij r ⎣⎢ ⎝ ij

⎞ ⎟ ⎟ ⎠

12

⎛σ − ⎜⎜ ij ⎝ r ij

6 ⎞ ⎤ ⎟ ⎥ ⎟ ⎥ ⎠ ⎦

La-OH2 distance (Å)

and Tosi-Fumi Potential [1,2] with parameters fitted in the present work

c d e − − rij6 rij8 rij10

E (kcal.mol-1)

VijTF (rij ) = a exp( −brij ) −

2. Ab initio calculations

2. Parametrization: molecular dynamics ab initio

VTF (kcal.mol-1)

La(H2O)3+

Fitting the Tosi-Fumi potential on ab initio quantum-mechanics calculations

1 d(La-OH2)= 10 Å 1 4 d(La-OH2)= 3.4 Å 5

4

3

2

La-OH2 distance (Å)

5 d(La-OH2)= 2.6 Å

2 d(La-OH2)= 5.1 Å 3 d(La-OH2)= 4.5 Å

La-OH2 distance (Å)

Prospect

Conclusion Parameterization of the Tosi-Fumi potential Comparison between molecular dynamics simulations, ab initio calculations and published data 1st shell O-La (Å) Molecular dynamics 2.60 ± 0.01 Ab initio calculations 2.6 ± 0.1 Published data 2.54 ± 0.02 [3]

Influence of Temperature on the first shell coordination number of La(H2O)2163+ Study of La(H2O)8(OH)2+ by ab initio calculations

2nd shell CN

O-La (Å)

8.75 4.84 ± 0.01 8 4.5 ± 0.1 9.2 ± 1.5 [3] 4.63 [4]

CN ~16 16.0 [4]

References: [1] F.Fumi, M.Tosi, J.Phys.Chem.Solids 25, 31 (1964) [2] M.Tosi, F.Fumi, J.Phys.Chem.Solids 25, 45 (1964) [3] P.Allen, J.Bucher, D.Shuh, N.Edelstein, I.Craig, Inorg.Chem. 39,595 (2000) [4] C.Clavaguera, R.Pollet, J.Soudan, V.Brenner, J.P.Dognon, J.Phys.Chem.B. 109,7614 (2005)

5ème Journé Journée scientifique de la DEN – 23 juin 2005

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Published data. 2.54 ± 0.02 [3] ... ab initio calculations and published data. Conclusion ... Definition. Model potential: The Coulomb electrostatic term is given by:.

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