“…In our previous work, the potential energy function for the interaction between the zeolite A framework and the ion bound to it was proposed. , The potential function reproduced well the X-ray crystal structures of various kinds of ion-exchanged zeolites. The purpose of this work is to calculate the energy distribution and the structure of inert gases Ne, Ar, Kr, and Xe, which are encapsulated in a Cs 3 Na 9 −A zeolite at several temperatures and various loading conditions.…”
Section: Introductionmentioning
confidence: 68%
“…Since there are three different Na-binding sites in the A-type zeolite, the average value of the Na net atomic charges was taken. In our previous work, , it was determined to be +0.625 e from normal mode analysis results . Since the electronegativity of the Cs ion is not much different from that of Na + , the net atomic charge assigned to the Cs ion was the same as that of the Na ion.…”
Section: Methodsmentioning
confidence: 96%
“…The framework was assumed to be rigid throughout the calculation. The fractional coordinates of the model, the Cs 3 Na 9 −A zeolite, were taken from our previous work . In the model, the eight Na atoms are bound to the 6-rings, the three Cs atoms are bound to the 8-ring windows, and the extra Na is located at the center of the β-cage.…”
Section: Methodsmentioning
confidence: 99%
“… a The parameters were determined with fixed cation charge, δ Na(or Cs) = +0.625 e . ε is in kcal/mol, δ in e, σ in Å, and α in Å 3 . σ O,Na,Cs - M = (σ O,Na,Cs + σ M )/2, ε O,Na,Cs - M = (ε O,Na,Cs × ε M ) 1/2 . …”
Section: Introductionmentioning
confidence: 99%
“…The MC sampling and energy calculation technique was modified in order to save computing time. The atomic point charges and potential functions of zeolites were taken from previous work 1 Potential energy curves V ( r ) plotted at representative grid points (θ,φ)s along r⃗ for (a) Ne and (b) Xe.…”
The states of the inert gases that are encapsulated in Cs 3 Na 9 -A zeolite were investigated by Monte Carlo (MC) simulations. The interacting potential energy between the zeolite framework and the encapsulated atom was expressed as a function of polar coordinates. A cumulative distribution function was introduced for the sampling of the positions in the polar coordinate system during MC sampling. When the size of the encapsulated atom is large (Kr, Xe), the binding energy of the atoms decreases with oscillation as the number of the encapsulated atoms increases. Since the R-cage of the model zeolite has high symmetry, the binding energy of the encapsulated atoms that form a high-symmetry cluster is relatively larger than that of the atom in a low-symmetry cluster.
“…In our previous work, the potential energy function for the interaction between the zeolite A framework and the ion bound to it was proposed. , The potential function reproduced well the X-ray crystal structures of various kinds of ion-exchanged zeolites. The purpose of this work is to calculate the energy distribution and the structure of inert gases Ne, Ar, Kr, and Xe, which are encapsulated in a Cs 3 Na 9 −A zeolite at several temperatures and various loading conditions.…”
Section: Introductionmentioning
confidence: 68%
“…Since there are three different Na-binding sites in the A-type zeolite, the average value of the Na net atomic charges was taken. In our previous work, , it was determined to be +0.625 e from normal mode analysis results . Since the electronegativity of the Cs ion is not much different from that of Na + , the net atomic charge assigned to the Cs ion was the same as that of the Na ion.…”
Section: Methodsmentioning
confidence: 96%
“…The framework was assumed to be rigid throughout the calculation. The fractional coordinates of the model, the Cs 3 Na 9 −A zeolite, were taken from our previous work . In the model, the eight Na atoms are bound to the 6-rings, the three Cs atoms are bound to the 8-ring windows, and the extra Na is located at the center of the β-cage.…”
Section: Methodsmentioning
confidence: 99%
“… a The parameters were determined with fixed cation charge, δ Na(or Cs) = +0.625 e . ε is in kcal/mol, δ in e, σ in Å, and α in Å 3 . σ O,Na,Cs - M = (σ O,Na,Cs + σ M )/2, ε O,Na,Cs - M = (ε O,Na,Cs × ε M ) 1/2 . …”
Section: Introductionmentioning
confidence: 99%
“…The MC sampling and energy calculation technique was modified in order to save computing time. The atomic point charges and potential functions of zeolites were taken from previous work 1 Potential energy curves V ( r ) plotted at representative grid points (θ,φ)s along r⃗ for (a) Ne and (b) Xe.…”
The states of the inert gases that are encapsulated in Cs 3 Na 9 -A zeolite were investigated by Monte Carlo (MC) simulations. The interacting potential energy between the zeolite framework and the encapsulated atom was expressed as a function of polar coordinates. A cumulative distribution function was introduced for the sampling of the positions in the polar coordinate system during MC sampling. When the size of the encapsulated atom is large (Kr, Xe), the binding energy of the atoms decreases with oscillation as the number of the encapsulated atoms increases. Since the R-cage of the model zeolite has high symmetry, the binding energy of the encapsulated atoms that form a high-symmetry cluster is relatively larger than that of the atom in a low-symmetry cluster.
Potential energy functions, suitable for the (Cs1‐xNaxT2O4)‐A type zeolite family, obtained from the known crystal structure of Cs7Na5‐A zeolite using a constraint method, are shown to be useful for the investigation of other crystal structures in this family which have not been experimentally obtained.
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