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chemical thermodynamics of neptunium and plutonium - U.S. ...

chemical thermodynamics of neptunium and plutonium - U.S. ...

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138 9. Neptunium group 17 (halogen) compounds <strong>and</strong> complexesWith these values the pressures <strong>of</strong> NpF 6 (g) in the above decomposition reaction are ca.3 × 10 −5 bar at 400 K <strong>and</strong> 5 × 10 −3 bar at 500 K, in accord with the observation <strong>of</strong>Malm et al.[93MAL/WIL].9.1.2.7 NpF 6 (cr)Osborne et al.[70OSB/WEI] have given an almost complete, consistent description <strong>of</strong>the relative properties <strong>of</strong> NpF 6 (cr, l, g) based on their measurements <strong>of</strong> the low temperatureheat capacity (7 to 350 K) <strong>and</strong> the vapour pressure measurements by Weinstock etal.[59WEI/WEA] from 273.15 to 350 K. Since there has been no other thermodynamicwork on this compound, we have accepted the values <strong>of</strong> Osborne et al. [70OSB/WEI]with only essentially trivial updating, but have also ventured to estimate the enthalpies<strong>of</strong> formation <strong>of</strong> the crystal <strong>and</strong> gas.9.1.2.7.aEnthalpy <strong>of</strong> formationThe enthalpy <strong>of</strong> sublimation <strong>of</strong> NpF 6 (cr) is well defined below, but the individualenthalpies <strong>of</strong> formation <strong>of</strong> the solid <strong>and</strong> gas are not known accurately.Approximate values have been estimated by interpolating the difference f Hm ◦ (MF 6, cr) − f Hm ◦ (MO2+ 2, aq) for M = U, Np, Pu, using the ionic radii <strong>of</strong>the M(VI) ions (for co-ordination number VI) [76SHA] as the interpolator. Sincethese values are 0.73 × 10 −10 m, 0.72 × 10 −10 m<strong>and</strong>0.71 × 10 −10 m for U, Np<strong>and</strong> Pu, the value <strong>of</strong> the enthalpy difference, f Hm ◦ (NpF 6, cr) − f Hm ◦ (NpO2+ 2 , aq),for Np becomes the mean <strong>of</strong> the corresponding values for U <strong>and</strong> Pu, namely−(1109.0 ± 15.0) kJ·mol −1 , where the uncertainty is estimated here. With f Hm ◦ (NpO2+ 2 , aq, 298.15 K) =−(860.7 ± 4.7) kJ·mol−1 selected by this review,this gives finally f Hm ◦ (NpF 6, cr, 298.15 K) = −(1969.7 ± 15.7) kJ·mol −1 . Theselected value is the rounded value, with a somewhat increased uncertainty f H ◦ m (NpF 6, cr, 298.15 K) = −(1970 ± 20) kJ·mol −19.1.2.7.bSt<strong>and</strong>ard entropy <strong>and</strong> heat capacityThe low temperature heat capacity <strong>of</strong> NpF 6 (cr) has been measured by Osborne et al.[70OSB/WEI] from 7 to 350 K. No anomalies were observed in the heat capacity curveover this temperature range. Because NpF 6 (cr) has one non-bonding electron, therewill be a tw<strong>of</strong>old degeneracy in the ground-state, <strong>and</strong> it is anticipated that at sometemperature below the current range <strong>of</strong> measurements, there will be a co-operativephenomenon to remove this degeneracy. Thus a term <strong>of</strong> R ln 2 has been added to theentropy obtained by extrapolation <strong>of</strong> the observed heat capacity curve from 7 to 0 K.The validity <strong>of</strong> this addition is confirmed by the excellent agreement for the entropy <strong>of</strong>the gas as calculated from the calorimetric data <strong>and</strong> from statistical mechanics, as describedin the following section (discussion on NpF 6 (g)). The derived st<strong>and</strong>ard entropy

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