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34                  Radiochemistry  and Nuclear  Chemistry

               differences  in the rates of dissociation of a proton (H +) and a deuteron (D +)  from water,
               and  the  rates  of  neutralization  of  these  hydrated  ions,  and  thus  has  a  kinetic  basis.
               Depending  on the physical  conditions c~-values between  3 and  10 are obtained.  For c~ =
               6 it is necessary to electrolyze 2700 1 natural water (deuterium content 0.014 %) to produce
               1 1 water containing  10 % deuterium, mainly as HDO.  In a multistage process the hydrogen
               gas  is  either  burnt  to  recover  energy,  or  used  in  a  chemical  process,  e.g.  in  ammonia
               synthesis  by  the  Haber-Bosch  process.  Although  this  technique  was  used  industrially  in
               Norway to produce ton amounts of pure D20,  it is no longer considered economic except
               for final purification of D20.


               2.8.4.  Gaseous  diffusion

                In a gaseous sample the lighter molecules have a higher average velocity than the heavier
               molecules.  In  1913  F.  W.  Aston  in  England  showed  that  the  lighter  of  the  two  neon
               isotopes 2~   diffused through the walls of porous vessels somewhat faster than the heavier
               isotope, 22Ne.  In the gas the average kinetic energy of isotopic molecules must be the same,
               i.e.  1/2MLV2L =  1/2MHV2H, where M H and M L are the masses of the molecules containing
               the heavy and light isotopes to be separated.  The maximum theoretical separation factor in
               gaseous diffusion is given by


                                         r  = VLIV H  =  (MH/ML) lh                (2.55)
                The theory is more complicated, depending among other things upon the mean free path
               of the  gaseous atoms,  the pore  length and diameter of the separating  membrane,  and  the
               pressure difference over the membrane. If experimental conditions are carefully controlled,
               this theoretical  maximum can be closely approached.
                235U is enriched through gaseous diffusion using the relatively volatile uranium compound
               UF 6.  In addition to its volatility, UF 6 has the advantage that fluorine consists of only one
               isotope,  19F. For  the  isotopic  molecules  235UF6 and  23sUF6,  a  value  of  1.0043  is
               theoretically possible for a  (cf. (2.55)).  The following conditions must be considered in the
               technical  application of the separation.
                (a) The cells are divided into two parts by a membrane which must have very small pores
               (e.g.   l0  -  100 nm in diameter)  in order to obtain isotopic separation.  In order that large
               gas volumes can flow through the membrane, millions of pores are required for each square
               centimeter.  Moreover, the membranes must have good mechanical stability to withstand the
               pressure  difference  across  them.
                (b)  UF 6 sublimes at 64~   which  means that  the separation process  must be conducted
               at a  temperature above this.
                (c)  UF 6 is highly corrosive and attacks  most materials.  The membrane must be inert  to
               attack by UF 6.  Water decomposes UF 6 according  to the equation

                                 UF6(g)  +  2H20(g)  =  UO2F2(s )  +  4HF(g)
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