zinc is considered as a useful material for cooling water treatment in light water nuclear power plants . a trace amount of soluble zinc injected into the coolant water suppresses co buildup in water piping systems and reduces the gamma ray dose rate from the piping system carrying the coolant [ 16 ] and this method has been successfully applied to several nuclear reactors that were used for power generation . however , the use of natural zinc does not provide the maximum benefit due to the adverse effects that are brought about by an increase in radioactive zn levels caused by the neutron activation of zn in the reactor core . the use of depleted zinc , i.e. , depleted in isotope zn , was found to be more effective to reduce this radiation dose in the cooling water system . the separation of zinc isotopes is therefore of high interest within nuclear science and technology . nowadays , zinc isotopes can be obtained using the most advanced centrifuge technology in the world , but this method requires a relatively large amount of energy and therefore has economic restrictions . the present technique could not meet the increasing demands of the zn depleted zinc isotopes in the world . compared to this physical method , chemical exchange methods utilizing equilibrium processes have been considered to require less energy consumption and present more economical and environmental clean advantages . the use of chromatographic techniques for the enrichment of isotopes has been regarded as a promising method for large scale production of enriched isotopes . chromatography operated in the band displacement manner was found to be an efficient process and was characterized by maintaining the self - sharpening band boundaries at both migration band ends . isotope separation based on ion exchange involves equilibrium formation between the stationary phase resin and the mobile phase solution . the ion exchange displacement chromatography has been successfully applied to the separation of isotopes of various elements in complex formation systems especially for those using hydroxycarboxylates as ligands [ 812 ] . malate , citrate , lactate and edta are important ligands that can form a wide variety of complex species with metal ions [ 13 , 14 ] . chelating exchange resins have a relatively large zinc adsorption capacity and may be caused by the functional group of the chelating resin . the present study continued the effort to carry out zinc isotope separation by the use of chelating exchange resin . chromatographic experiments were designed using the four ligands mentioned above in order to elucidate the isotope effect present during zinc complexation . emphasis was placed on the impact of ligands on the separation coefficient (  ) and the separation coefficient per unit mass differences ( /m ) observed during the separation processes . the chromatographic system used in the present study consisted of five pyrex columns ( 100  cm long and 1.0  cm i.d . ) and a high pressure pump ( nihon seimitsu np - kx-100 ) that was used for controlling the flow rate of the feeding solution . columns were connected in series with a teflon tube . in order to monitor the column pressure , a pressure gauge with a safety device was placed between the first column and the pump . the temperature was set at 298    1  k throughout the experiments by circulating thermostated water through an extension water jacket out of the columns . an automatic fraction collector ( frc-2100 , iwaki asahi techno glass , tokyo , japan ) was used for collecting the effluents into small fractions ( ca . the columns were packed with the commercially available chelating exchange resin d850 ( hangzhou zhengguang resin co. , hangzhou , china ) . the functional group of this macroporous exchange resin was based on ch2n(ch2cooh)2 and the particle size of the resin was 0.40.6  mm . at the beginning of the chromatographic operation packed column was conditioned by elution with 2.0  mol  l hcl solution in order to remove impurities followed by redistilled water . a 0.1  mol  l zncl2 with 0.01  mol  l hcl solution were used as feeding solution until the length of the zinc adsorption band became ca . the zinc band was then eluted at a flow rate of 6.0    0.1  ml  h using 0.1  mol  l ligand solutions . these were prepared from malic acid , citric acid , lactic acid , and edta , with ammonia solution , respectively . the eluting solutions were adjusted to each corresponding ph value and transferred to the top of the column . after collection of the zinc fractions the resin was regenerated to the h form using 2.0  mol  l hcl solution in order to continuously run the five packed columns . the operating conditions for the zinc isotope separation is summarized in table  1.table  1chromatographic experimental conditions of zinc isotope fractionation using different ligandscomplex systemzn edtazn  malatezn  citratezn  lactateeluting agent(nh4)2edta ( 0.1  mol  l , ph  =  7.5    0.2)(nh4)2malate ( 0.1  mol  l , ph  =  7.4    0.2)(nh4)3citrate ( 0.1  mol  l , ph  =  7.2    0.2)nh4lactate ( 0.1  mol  l , ph  =  7.3    0.2)resinmacroporous , particle size 0.40.6  mm , total exchange capacity 1.8  mmol  ml , water content 4856% , ch2n(ch2cooh)2 functional grouptemperature ( k)298    1feed solution0.1  mol  l zncl2  +  0.01  mol  l hcl solutionmigration length ( m)9.5flow rate ( ml  h)6.0    0.1 chromatographic experimental conditions of zinc isotope fractionation using different ligands the zinc concentrations obtained from each fraction was measured by an atomic adsorption spectrophotometer ( ana-182f type ) using the emission line at 213.9  nm and sensitivity calibration was performed before measurements . the mass determination of the feed solution and fraction samples taken from the front band region were performed by inductively coupled plasma mass spectrometry ( icp - ms , x7 series and supported by thermo electron corporation ) with the zinc concentration of 30  ppb diluted with 0.5% hno3 . the dwell time for zn , zn and zn was 10  ms and for zn and zn was 20  ms . for each isotope measurement , the number of scans were 200 and the measurement error was within 0.2% . the chromatographic system used in the present study consisted of five pyrex columns ( 100  cm long and 1.0  cm i.d . ) and a high pressure pump ( nihon seimitsu np - kx-100 ) that was used for controlling the flow rate of the feeding solution . columns were connected in series with a teflon tube . in order to monitor the column pressure , a pressure gauge with a safety device was placed between the first column and the pump . the temperature was set at 298    1  k throughout the experiments by circulating thermostated water through an extension water jacket out of the columns . an automatic fraction collector ( frc-2100 , iwaki asahi techno glass , tokyo , japan ) was used for collecting the effluents into small fractions ( ca . the columns were packed with the commercially available chelating exchange resin d850 ( hangzhou zhengguang resin co. , hangzhou , china ) . the functional group of this macroporous exchange resin was based on ch2n(ch2cooh)2 and the particle size of the resin was 0.40.6  mm . at the beginning of the chromatographic operation packed column was conditioned by elution with 2.0  mol  l hcl solution in order to remove impurities followed by redistilled water . a 0.1  mol  l zncl2 with 0.01  mol  l hcl solution were used as feeding solution until the length of the zinc adsorption band became ca . the zinc band was then eluted at a flow rate of 6.0    0.1  ml  h using 0.1  mol  l ligand solutions . these were prepared from malic acid , citric acid , lactic acid , and edta , with ammonia solution , respectively . the eluting solutions were adjusted to each corresponding ph value and transferred to the top of the column . after collection of the zinc fractions the resin was regenerated to the h form using 2.0  mol  l hcl solution in order to continuously run the five packed columns . the operating conditions for the zinc isotope separation is summarized in table  1.table  1chromatographic experimental conditions of zinc isotope fractionation using different ligandscomplex systemzn edtazn  malatezn  citratezn  lactateeluting agent(nh4)2edta ( 0.1  mol  l , ph  =  7.5    0.2)(nh4)2malate ( 0.1  mol  l , ph  =  7.4    0.2)(nh4)3citrate ( 0.1  mol  l , ph  =  7.2    0.2)nh4lactate ( 0.1  mol  l , ph  =  7.3    0.2)resinmacroporous , particle size 0.40.6  mm , total exchange capacity 1.8  mmol  ml , water content 4856% , ch2n(ch2cooh)2 functional grouptemperature ( k)298    1feed solution0.1  mol  l zncl2  +  0.01  mol  l hcl solutionmigration length ( m)9.5flow rate ( ml  h)6.0    0.1 chromatographic experimental conditions of zinc isotope fractionation using different ligands the zinc concentrations obtained from each fraction was measured by an atomic adsorption spectrophotometer ( ana-182f type ) using the emission line at 213.9  nm and sensitivity calibration was performed before measurements . the mass determination of the feed solution and fraction samples taken from the front band region were performed by inductively coupled plasma mass spectrometry ( icp - ms , x7 series and supported by thermo electron corporation ) with the zinc concentration of 30  ppb diluted with 0.5% hno3 . the dwell time for zn , zn and zn was 10  ms and for zn and zn was 20  ms . for each isotope measurement , the number of scans were 200 and the measurement error was within 0.2% . the mechanism of zinc isotope separation by chelating exchange chromatography is illustrated in fig . 1the fractionation mechanism and isotope ratio curve of zinc using chelating exchange chromatography the fractionation mechanism and isotope ratio curve of zinc using chelating exchange chromatography chromatography was conducted in a band displacement manner . at the rear band boundary of zinc ions , the adsorbed zinc ions were released from the resin , as indicated in eq .  1 , and formed complexes with the ligand supplied by the eluent where superscript bars denote the resin phase:\documentclass[12pt]{minimal } 
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				 \begin{document}$$ \overline{{{\text{zn}}^{2 + } } } + \left ( { { \text{nh}}_{4 } } \right)_{2 } { \text{l } } \to \ , \overline{{2{\text{nh}}_{4}^ { + } } } + { \text{znl } } $ $ \end{document } during the elution through the zinc adsorption band , the isotope exchange reaction ( eq . 2 ) took place repeatedly between zinc carboxylate complexes in the external solution phase and the zinc ions on the resin phase:\documentclass[12pt]{minimal } 
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				 \begin{document}$$ \overline{{^{\text{h } } { \text{zn}}^ { 2 + } } } + ^{\text{l } } { \text{zn l } } \rightleftarrows \overline{{^{\text{l } } { \text{zn}}^ { 2 + } } } + ^{\text{h } } { \text{zn l } } $ $ \end{document}where the superscripts h and l denote the heavier and lighter zinc isotopes , respectively . when the zinc carboxylate complex species reached the front boundary of the zinc adsorption band , the zinc complexes dissociated and the free zinc ions were re - adsorbed onto the resin phase ( eq .  3):\documentclass[12pt]{minimal } 
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				 \begin{document}$$ \overline{\text{zn l } } + 2 { \text{h}}^ { + } \to \ , \overline{{{\text{h } } _ { 2 } { \text{l } } } } + { \text{zn}}^ { 2 + } $ $ \end{document } the results obtained by the above mentioned chemical reactions and isotopic analysis are plotted in fig . .  2chromatographic profile of zinc effluent concentration and isotopic ratios using the citrate ligand chromatographic profile of zinc effluent concentration and isotopic ratios using the citrate ligand the zinc concentration found in the effluent fraction corresponded to the front band of zinc adsorption in the columns . the same analyses were performed for the other three ligands that were found to give similar results ( not shown ) . since the stability constant of zinc complex species is larger than that of ammonium complex species [ 16 , 17 ] and the total selectivity of the chelating exchange resin for zinc ions is higher than that for protons , the eq .  1 and eq . 3 at rear and front boundaries tended to proceed to the right side and resulted in the formation of sharp boundaries at both edges of the band . 2 ) that the heavier zinc isotopes were enriched at the front edge and the lighter zinc isotopes enriched at the rear boundary by the present chelating exchange resin . the results were interpreted by the mechanism that the heavier zinc isotopes were preferentially fractionated into the zinc complex species present in aqueous solution and moved down at a relatively faster velocity to the front edge while the lighter zinc isotopes were retained in the form of zinc ions on the resin and eluted down at a lower velocity , resulting in the accumulation at the rear boundary . the results suggested that the equilibrium constant of eq .  2 should be larger than unit one in each operated system . this was consistent with the prediction that the heavier zinc isotopes were expected to fractionation into the strong bound chemical species based on the theory of isotope effects in molecular vibration . the isotope separation coefficient  is used to evaluate chromatographic performance and can be calculated based on eq . 4 which was derived by spedding and kakihana [ 18 , 19]:\documentclass[12pt]{minimal } 
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				 \begin{document}$$ \varepsilon = \alpha - 1 = \sum { { \frac{{q_{i } \left| { r_{i } - r_{o } } \right|}}{{qr_{o } ( 1 - r_{o } ) } } } } $ $ \end{document}where  refers to the isotope fractionation factor , or the single stage separation factor ; q is the amount of zinc in fraction sample , q the total amount of adsorbed zinc on the resin , ri the isotopic percentage of zn , and the subscripts i and o are the fraction number and the original sample , respectively . the separation coefficients were calculated in each operation from the isotopic enrichment curve of the front boundary and are listed in table  2.table  2separation coefficients of zinc in ligand complex systems by chelating exchange resinzn malatezn  citratezn  lactateseparation coefficient (     10)zn / zn7.165.526.175.96zn / zn3.082.512.682.83 separation coefficients of zinc in ligand complex systems by chelating exchange resin each ligand gave distinct  values and edta was found to result in the strongest coordination bond with zinc ions as judged by the relatively large  value . when compared to the lactate , citrate and malate ligand systems , the different  value might relate to the complex chemical species in solution . it was reported that the existence of binuclear complexes of metal ions was probably the reason why the separation coefficient had a large value in the ligand system . in an uranyl carboxylate complex system the existence of binuclear uo2 complexes might create the condition for large isotope fractionation and the separation coefficients followed the order malate  >  citrate  =  tartrate  >  lactate [ 22 , 23 ] . on the contrary , the separation coefficients of vanadyl carboxylate system followed the inverse order lactate  >  citrate  >  >  malate . table  3 presents the separation coefficient  and the related data of the isotopic pair of zn / zn obtained in this work along with the results reported from the vo , cu , gd and uo2 in malate and edta ligand exchange systems [ 9 , 10 , 2427].table  3chromatographic separation coefficients of metal ions in ligand complex systemsmetal ionmeasured isotopic paircomplex formation systemt ( k)separation coefficient ,  ( 10)referencezn68/64malate2985.52present workcitrate6.17lactate5.96edta7.16vo50/51malate2981.0lactate2.4citrate2.2cu63/65malate3122.8edta3230.13gd158/160malate3120.092edta3320.25uo2235/238malate2982.2edta2980.6 chromatographic separation coefficients of metal ions in ligand complex systems regarding the isotopic pair zn / zn ( table  3 ) the separation coefficients found for lactate and citrate were slightly larger than those observed in a malate system and the  value with corresponding ligands obtained in the present work was much larger than that in vanadium system . apart from the complex structure of zinc and vanadium with those ligands , the large mass difference between zn and zn could also contribute to the formation of a relatively large separation coefficient . zinc was found to display a much larger separation coefficient when compared with separation coefficients determined for cu , gd , uo2 ( table  3 ) . for a zinc / edta ligand a larger value was observed in comparison with the other three ligands and as far as cu and uo2 were concerned , the separation coefficients in edta were found smaller than those observed in a malate system . the different metal complex structure in ligands and the ph value of the solution used in the present work might have significant impact on results . further experiments were needed in order to elucidate the mechanism involved in the formation of zinc isotope separation coefficient using different ligand systems . in general , the isotope effect or the isotope separation coefficient depended on the temperature . theoretically ,  is proportional to m and inversely proportional to the square of both the atomic weight m and the absolute temperature t : \documentclass[12pt]{minimal } 
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				 \begin{document}$$ \varepsilon \propto \updelta m / m^{2 } t^{2 } $ $ \end{document } table  4 provides an overview of zinc isotope separation coefficient per unit mass differences using a number of different exchange resins [ 2831].table  4separation coefficient per unit mass differences ( /m ) for the isotopic pair of zn / zn using different exchange resinsresin typefeed solutiontemperature ( k)zn / zn /m ( 10)referencebenzo-12-crown-4 resin0.5  mol  l zncl22981.12benzo-15-crown-5 resin0.5  mol  lzncl22982.02[28 , 31]benzo-15-crown-5 resin0.08  mol  l zncl23231.32benzo-15-crown-5 resin0.05  mol  l zncl23131.68benzo-15-crown-5 resin0.05  mol  l zncl23431.42benzo-18-crown-6 resin0.5  mol  l zncl22981.98dibenzo-18-crown-6 resin0.5  mol  l zncl22981.60[28 , 31]strongly acidic cation exchange resin0.05  mol  l zn(no3)23330.80chelating exchange resin0.1  mol  l zncl2 with edta solution2981.79present work0.1  mol  l zncl2 with malate solution1.380.1  mol  l zncl2 with citrate solution1.540.1  mol  l zncl2 with lactate solution1.49 separation coefficient per unit mass differences ( /m ) for the isotopic pair of zn / zn using different exchange resins it can be seen that each type of resin had different /m values . the average /m value for the isotopic pair of zn / zn found in the present study was 1.55    10 which was in agreement with our previous publications using benzo crown resins . when this type of resin is used the cavity size can affect the /m value significantly , especially when using the benzo-12-crown-4 resin . benzo-15-crown-5 resin with 0.5  mol  l zinc chloride was determined to have the largest value ( table  4 ) . it was shown that with the same benzo crown resin and feed solution , the /m value was affected by operation temperature where a high temperature had a small value in alignment with eq . performed the zinc isotope separation by using a strongly acidic exchange resin and obtained a value for /m where the isotope effect occurred during cation exchange between the acidic resin and liquid phase . the present study indicated that the determined /m value was much larger than that of ban et al .   which meant that the present chelating exchange resin might form a more stable binuclear complex with zinc ions and could successfully applied to the zinc isotope separation . zinc isotope separations were studied by displacement chromatography in malate , citrate , lactate and edta systems . the zinc isotope fractionation was confirmed and the lighter isotope was found to be preferentially located on the resin stationary phase . separation coefficients were calculated for each tested system where the edta ligand was found to make a more stable coordination bond with zinc ions that resulted in large  values . the average /m value for the isotopic pair of zn / zn was determined to be 1.55    10 which was in agreement with that obtained from benzo crown resins and much larger than that determined in strongly acidic cation exchange resins .
zinc isotope separations were studied by displacement chromatography using the chelating properties of malate , citrate and lactate exchange resin and edta as ligands . 
 after each chromatographic operation , the heavier zinc isotopes were found to preferentially fractionated into the carboxylate complex solution phase . 
 the separation coefficients (  ) for zinc isotope separation had the largest value and were obtained for the isotopic pairs 68zn/64zn ( 7.16    104 ) and 66zn/64zn ( 3.08    104 ) , respectively , at 298    1  k. the separation coefficient per unit mass differences ( /m ) for the isotopic pair of 68zn/64zn was found to range around 1.55    104 .