Korean Chemical Engineering Research
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(2) df E. Dí s-Ñ À´ ôdí o [ÎK éfõ KèK. q 7G
(3) , ôdfQ «5Ü äÑ g ê ôdí« U¾ † To. whom correspondence should be addressed. E-mail: [email protected]. ‡. « øéo K¬H/ é§, /¤ _¸s ,ÄGñ ·ÊæÉ5n. 33.
(4) [CÝö1ò,ö6ÜÄ. 34. o hòf Ùs «ÄGñ ôdfõ dHJk³ ~gK. «5 ôdí« Ë´À2 Dís s-O A «÷ DÍ õ( :´ ÄU pHõ ÆQK. , pHõ Í 2 ÝQk³ ôdí « õ( :2 «÷ DÍ æ´ Dê_« Ä«g0 ¤ À. s-O U yÑ ÊéG2 «5Ü ~¯õ ¡dQÿD .Gñ pH às ÆQG2), pH à« ¶(
(5) s- à_ ÆÆ ÆQ« ÷ zMí _Ñ s k ¤ À. ÄU yÑ ÊéG2 Î « 5Ü ¬J¯ , ñ6 Í( «5Ü ~¯2 Ú ôdí «Â <s, îwê ¤ à Ú pH às «ÄGñ ªO ¤ À. MÑ2 ÄU «5Ü ~ Ú ñ ~ Äg Ñ ¬K Us g G2 ~ s +GD .Gñ É Ãõ lÄGñ H K. «Q ço H ê , U_K H1ª Ñ ôdí ô MÑ ¬K (Rk³z Yf ªÑ ³´÷2 «Ë Ms kÎ K Gj +O ¤ À. ôdí ~ 2 «5Gh äÑ ³´÷2 «5 ¯4Ñ º s g[3, 4]. á õgÑ2 òɳ -Ϊ ö 1í fM(f)Q Dí³ è@G2 low oxidative-state metal Ion(LOMI) fÄU «5 «5Gh U s [@ Æ O IJk³, )- «T ôdfÍ Ë´À2 ÄUÑ à÷³ Ú { «5Ü ôdí ~ Ms Æ ê pH à« ñ ñ6 ÆQÑ H G. 2.. _ã-ë-§÷o¿ K§ tW ` û. gG Z gGô¬£ | ³äJk³ òɳ -Ϊ ö 1í fM, fo ö. í0ê Wÿ MJæ´ À2 zR dLs ff u\s. ÄGñ dHJk³ ÄgQE fMG2 ÆÊ«. LOMI f d H äo 1P à÷³ 2Í «5(V )« òÉt èM 1ó Τ ª z ,
(6) .Ñ ê zR dL gÆ Ñ ÊéG 2 1P { 3Í «5(Fe )ê äGñ zR dLs hò ÄgQ . «³ ¯g zR dLs g G2 { «5« 2Í =³ h òê f ÄU k³ Äê. ñD ÄgQ { «5 é zJs ö(GD .Gñ {-)-«T ôdís G2) ) 1 « 3P 1®G[5]. !¶ 2Í à÷³ )-«TÍ Ë´À2 LOMI ffÑ K { dí ò Ägäo 4Ö äRsF ,}ê. V(Pic) + / Fe O +3HPic & 2-1. LOMI. 2+. 3+. − 3. 1. 2. 2 3. V(Pic)3+Fe(Pic)3− +11/2H++11/2OH−. Chemical name Water Sodium hydroxide Formic acid Picolinic acid Free metal ions Vanadium(II) complexes Vanadium(III) complexes Iron(II) complexes Iron(III) complexes. 2 )-«T {«5s ÷. fà_ ðD ªÑ ff KÁ ~o 2Í =¯ à÷³(II) T-) )-«T, V(Pic) ôdí³, )«T(Pic ) ¬ à÷³ P9Í 3:1z 6:1 p.Ñ @ ê. )-«T ¬ à÷³ P9Í 2.5:1 «G«
(7) à÷³(II) 9) )-«T, V(Pic) Í ( J¯ ~« ê. f ÆÊ« Ü0æD )M f ÄUÑ2 à÷³o ¤d à ÷³(III) 9) )-«T V(OH)(Pic) ê, dLÑ Ä ê {o {(II) T-) )-«T Fe(Pic) , {(II) 9) )- LOMI. − 3. −. 2. 2 − 3. Species H+, OHNa+, OHHCOOH, H+, COOHHPic, H+, PicV2+, V3+, Fe2+ V(Pic)1+, V(Pic)2, V(Pic)3V(Pic)12+, V(Pic)2+, V(Pic)3, V(OH)(Pic)2 Fe(Pic)1+, Fe(Pic)2, Fe(Pic)3These complexes do not exist to any significant extent during a LOMI decontamination. «T Fe(Pic) , {(II) Hô )-«T Fe(Pic) Ù« c³ Ë´ À[5]. Table 1Ñ LOMI f ÄUÑ ÊéO ¤ À2 ñ6 Í( ÜÍ dHÜs YÉ. LOMI fÑ íÂ Ú ¤d÷TÝ o ÄU pH à ÆQ Ú U£ ÄU òOs .g Äê. 2-2. _ã-ë-W§÷o¿ £ tW ` û ñ6 ~ Ú ôdf³ g æ2 ªÑ HÇ dHÜ 2 í0¤(R Ú ¤R Ù ³w ö_Rs T´ ªO ¤ À. « ªs .g2 ÄU pH à, ê ôdf Ú «Ë ä ¤ à Ù« ½tæ´t K. ö_R ªÑ2 í¯Ä É Ú DÊ É é³æs KÄGj lÄO ¤ À[6, 7]. LOMI fà_ JÄ K(L ªÑ2 ÄUÑ Ë´À2 2Í à÷³ «5o H& { dí hò ÄgäÑ Äæ´ 3Í =³ dæÉÊ Í_G. q7G
(8) , òɳ -Ϊ îé0Í dHfÑ g zR æ( :´ fÆÊQ f f KÁ ~ s ÄgQ dí Ý êÁ« æ( :j f´GD AéÑ ff¯ à÷³ 2Í «5o M H& Hæ´ 3Í =³ dî ¤ À[5]. «2 fÄU +j ¡d³ e ¯O ¤ À2), LOMI fà_ QÊ ªQ Ü0 ªÑ pH à« ¡G à÷³ 2Í «5« Ë´À2 ðD fÄU +« Ü 0 )MÑ2 3Í à÷³ )-«T +k³ à`[5, 8]. à÷ ³, { Ú )-«T ôdf o f ÄU Ë´À2 H Ç «5Ü Y«³ 4ÖQ ç« í0¤(Rk³ ÷ ¤ À. + 1. 2. [Vtotal]= [V3+]+[V(Pic)12+]+[V(Pic)2+]+[V(Pic)3]+[V(Pic)2(OH)] (2) [Fetotal]=[Fe2+]+[Fe(Pic)1+]+[Fe(Pic)2]+[Fe(Pic)−3 ] (3) 2+ + − [Pictotal]=[Pic ]+[HPic]+[V(Pic)1 ]+[2V(Pic)2 ]+[3V(Pic)3]+[2V(Pic)2(OH)] +[Fe(Pic)1+]+[2Fe(Pic)2]+[3Fe(Pic)3− ]. (1). Pic. ¤@¤ C43× C1 2005 2. Table 1. Ionic and undissociated soluble species in solution during a LOMI decontamination. (4). Table 2Ñ2 á ªÑ ÄK äR Ú 8_ ¤ às ÷É. LOMI fÄU Ë´À2 V(III)-)-«T Ú Fe(II)-)-«T ôdís ¯WK ñ6 Í( dHÜÑ ¬K Ä U É02 éËÑ »É[9-11]. (2)-(4) í0¤(R Ú ¤³z )-«T Ñ ¬K Rs 7ó ]Rk³ KO ¤ ÀÉ[12]. f ÄU y «5Ü Ú -)-«T ôdí Ü ~S, ôdís G( :o )-«T ôdf 2 V , Fe , Pic Ù Î ~ ðD à Ú ÄU pH às ½tGÊ É é³æs lÄGñ «·Jk³ ªG[12]. total. total. total.
(9) -^«6 ôdí U~ H. 35. Table 2. The Dissociation equilibria and pKa values [9-11]. :. Dissociation reactions HPic H++ Pic− V3++Pic− V(III)(Pic)2+ 1 − V(III)(Pic)2+ V(III)(Pic)2+ 1 + Pic V(III)(Pic)3 V(III)(Pic)2++Pic− V(III)(OH)(Pic)2+H+ V(III)(Pic)2++H2O Fe(II)(Pic)1+ Fe2++Pic− Fe(II)(Pic)2 Fe(II)(Pic)1++Pic− Fe(II)(Pic)3− Fe(II)(Pic)2+Pic−. : : : : : : :. 3.. pKa 5.21 5.72 6.56 4.07 2.66 4.90 4.10 3.30. ûG Z +{. fÆÆ« ³û )-«T ôdfQ ö «5Ü« Ë ´À2 LOMI fÄUk³z ö í0¯ «5Os Áê Jk³ ~-GD .g2, )-«T ôdfÍ Ë´À2 ÄU «5Ü ôdí Ñ îK _ÝÍ À´t K. =Ñ À2 ôdí ~ =õ «5ê ôdf Ú ÄU pH àk³z ªO ¤ À. « ªo kÎ ÞÛG(O, Perrin Ú Sayce[6], Ingri Ù[13]« íèK COMICS«÷ HALTAFALL Ù É é³æ« kÎ KÄG. á õgÑ2 )-« TÍ Ë´À2 fÄU ªÑ ¬Gñ «Q ço 鳿s Ä Ú ¤_Gñ ÄG[12]. ³_
(10) à÷³(III), {(II) Ú )1 k³ «P´, LOMI f ÄUÑ2 ñ6 Í( «5Ü« Ë´Àk, pH Ù ÄU ÆQ« ¶(
(11) «5Ü ~ =Í ¶,. à÷³(III), {(II) Ú ) -«T³ «P´, H1 ÄUÑ ÄU pH àê Æ s ¡ dQEÍ
(12) «5Ü ~ õ ªGñ ~ Ëk³ ÷ É. 3-1. +Ø W§÷o¿ ô¬ »¿£ `Ï{ ,k 3-1-1. V:Fe:Pic=1:0.8:6 H1 ÄU Ägê { « à÷³ 50%õ ðêGÊ, )-«T ¬ à ÷³ 9Í Ê )-«T LOMI f MJ¯ Æ ¯ 6:1 s K(G2 H1 ÄU ª ~ Ës ªG. Fig. 1(a)2 à÷³ Í 6 mM¯ ÄU ª êõ à3k³ à÷³(III)-) -«T ôdí ~ õ pH W¤³ Ê K ~ Ë «. Fig. 1(b)2 { Í à÷³ 80%¯ 4.8 mM ÎÑ pH W¤³ 1 {(II)-)-«T ôdí ~ Ë«. à÷³ Í 3 mM³ A à÷³(III)-)-«T ôdí Ú { Í 2.4 mM³ A {(II)-)-«T ôdí ~ Ë o Fig. 2Ñ YÉ. K, á øéÑ2 Y-( :I(O Ê ÆQÑ s e¯GD .Gñ à÷³ Ú { Í ÎÎ 10 mM Ú 8 mM³ ÍK ÄUÑ ¬K ~ Ë Ê G . «Q ço ~ Ëk³z )-«T ¬ P 9Í ³_K àk³ Ê_æ
(13) fÄU Í ¶ ~ Ë =Ñ2 à ó«Í ÇÉ. 3-1-2. V:Fe:Pic=1:x:6 H1 ÄU gê { Í à÷³ 50% «G¯ ÄUÑ ÄU Æ « ~ Ë =Ñ Âj2 s oÝI. Fig. 3(a) 2 à÷³ Í 6 mM¯ ÄUÑ à÷³(III)-)-«T ~ Ë«Ê, { Í à÷³ 20%¯ 1.2 mM ÄUÑ {. Fig. 1. Distribution diagram of vanadic-picolinate (a) and ferrous-picolinate complexes (b) in the high-picolinate model decontamination solution. V3+=6 mM, Fe2+=4.8 mM, Picolinate=36 mM.. Fig. 2. Distribution diagram of vanadic-picolinate (a) and ferrous-picolinate complexes (b) in the high-picolinate model decontamination solution. V3+=3 mM, Fe2+=2.4 mM, Picolinate=18 mM. Korean Chem. Eng. Res., Vol. 43, No. 1, February, 2005.
(14) [CÝö1ò,ö6ÜÄ. 36. Fig. 3. Distribution diagram of vanadic-picolinate (a) and ferrous-picolinate complexes (b) in the high-picolinate model decontamination solution. V3+=6 mM, Fe2+=1.2 mM, Picolinate=36 mM.. Ë´À{s < ¤ À. ¤«5(H )s WKK «5Gh ¤(@k³ f Us ê Q Î ¤(@ Ñ ÄU ÷TÝ «5« ÏI ¯4æ
(15) «5 ¤(@Ñ ¤«5« ©´ ÷Q ÄU pH às Yó ÝQÿÊ «³ ¯g ôdí« +1Í 2 +2Í « 5 Ük³ ¡Gñ ¤(@Ñ ¯4æ f Uk³z fMê. 3-2. KØ W§÷o¿ ô¬g `Ï{ ,k 3-2-1. V:Fe:Pic=1:0.8:3 H1 ÄU )-«T ¬ à÷³ 9Í 3:1¯ I )-«T H1 ÄUs à÷³ Ú { )-«T ôdí ~ H õ .g _G[3]. LOMI fÑ I )-«T ÄU s ÄG2 «K2 è@æ2 Dí
(16) s k«2 ) IJ« À. )1 s ¬,J¯ Ê )-«T LOMI f ÆQ Ñ ÄG2 u 50%³ kk, à÷³ 50% « Ñ g¢æ2 {« õ2Ê _G. Fig. 4(a)Ñ2 à÷³ Í 6 mM³ A à÷³(III)-)-« T ôdí ~ Ës ÷ÉÊ, Fig. 4(b)Ñ2 { Í 4.8 mM³ A(à÷³ 80%)Ñ ¬Gñ {(II)-)-«T ~ Ës YÉ. à÷³ Í 3 mM³ A à÷³(III)-)-«T ôdí ~ Ëê { Í à÷³ 80%¯ 2.4 mM³ A {(II)-) -«T ~ Ë gG. à÷³ Ú { õ 10 mM Ú 8 mM³ ÎÎ ¯ ÄU ~ Ës Fig. 5Ñ ÷É. «Q ç« Ê K Fig. 4 Ú Fig. 5 ~ Ës 9GG. )-«T ~ Ëo Fig. 3(b)Ñ ÷É. «Q ç« Ägê { Í s ÎÑ2 ~ Ë =Í uÑ ¶k÷ fÆÊ hòÄgÑ g Äê { ¡ dÑ !ñ ~ Ë &Ã6, ó«2 ÇÉ. Fig. 1-3Ñ ÷ aê ç« f ÆÊ Ü0 QYÑ ÄU pH ào 4-5 p.Ñ À2) « f ÄUÑ2 à÷³o c³ ¤ d à÷³(III) 9) )-«T V(OH)(Pic) ê, dLÑ Äê {o c³ {(II) T-) )-«T Fe(Pic) Í ÎÎ 70% 8´k³ Ë´À{s å ¤ À. f U s-õ .Gñ «5 Gh ÆÊ« Q« Äæ´ f2), f Ü0Q à÷³ Ú { ) -«T ôdío MGõ ( :M÷ { MGõ Ê Àk÷ «Ë ôdí« Ë´À2 f ÄUs «5Gh ¤(@s êQ Î à÷³ Ú { ¬z~« ¤(@Ñ ¯4æ´ ¤(@s êg ÷5 ÄUÑ2 M Ç{s «Â Y×s g e¯G[12, 14]. «fb( MGõ ( :M÷ { MGõ Ê À2 ôdí «5Gh ä o GDÍ ( :I. 6÷ á õgÑ Ê K Fig. 1-3 ~ Ëk³z «Ë «5Gh ä s eGj O ¤ À. ~ ËÑ å ¤ À׫ ÄU pH à« Ê42Ñ !¶ ÄU ( J¯ ~ ôdí = Yó GMs 2 ôdí³ ¡dK. f UÑ s ÍGñ ¤«5(H )s YY ÍQÿ
(17) ôdís «PÊ À2 )-«T {«5« ©´ ÷Q )1 (HPic)s @ G
(18) ôdío GM¤Í Yó ÍK. «Q ç« G ñ ÄU pH à« u 1.5¯ òÑ c³ Ë´À2 ôdí o à÷³ Î V(Pic) «Ê { Î Fe(Pic) Ú Fe Í ä. Fig. 4. Distribution diagram of vanadic-picolinate (a) and ferrous-picolinate complexes (b) in the low-picolinate model decontamination solution. V3+=6 mM, Fe2+=4.8 mM, Picolinate=18 mM.. +. (II)-. 2. − 3. +. + 2. ¤@¤ C43× C1 2005 2. + 1. 2+.
(19) -^«6 ôdí U~ H. 37. Fig. 5. Distribution diagram of vanadic-picolinate (a) and ferrous-picolinate complexes (b) in the low-picolinate model decontamination solution. V3+=10 mM, Fe2+=8 mM, Picolinate=30 mM.. Fig. 6. Distribution diagram of vanadic-picolinate (a) and ferrous-picolinate complexes (b) in the low-picolinate model decontamination solution. V3+=6 mM, Fe2+=3 mM, Picolinate=18 mM.. s A I )-«T Æ H1 ÄU ~ Ëo ¡dÑ îÇ« =2 - ¿j ¡dG( :I . 6÷ )-«T s à÷³ 6 (Ê )Ñ 3 (I )³ ks AÑ2 ~ Ë =Í Q« ¡G . à÷³(III)-)-«T ôdí Î à÷³ T-) )«T, V(Pic) Ñ g¢G2 )¿Í ¿j k´ËÉ. {(II)-)«T ôdí ~ Ë =Í ¿j ¡G. I ) -«T ÆQ H1 ÄUÑ {(II) ôdí «5Ü ~ =2 pH 4 « òÑ2 M ³_K 9Ss K(GÊ À. { ~ Ë« ¿j ¡K «K2 ÄU pH à« ÍG
(20) ¶ {(II) «5ê ôdís «X ¤ À2 )-«T « ¬Jk³ zÇGD Aék³ @Îê. 3-2-2. V:Fe:Pic=1:x:3 H1 ÄU Ägê { Í à÷³ 50% «G¯ H1 ÄUÑ Fig. 6(a)2 à÷³ Í 6 mM³ A gK à÷³(III)-)-« T ôdí ~ Ë«Ê, Fig. 6(b)2 { Í à÷³ 50%¯ 3 mM³ A gK {(II)-)-«T ôdí ~ « . K, Fig. 7Ñ2 à÷³ 2 6 mM«÷, { Í 1.2 mM ³ { Í à÷³ 20%³ kÎ o ÄUÑ gK à÷ ³(III)-)-«T Ú {(II)-)-«T ôdí ~ Ë s YÉ. {(II)-)-«T ôdí ~ Ëo Fig. 4(b), Fig. 6(b) Ú Fig. 7(b)Ñ =Í ³ í. 6÷ à÷³ «5Ü ~ Ëo K K =õ ÝñcÊ À. I )-« T LOMI ÆQ H1 ÄUÑ {(II)-)-«T ôdí . Fig. 7. Distribution diagram of vanadic-picolinate (a) and ferrous-picolinate complexes (b) in the low-picolinate model decontamination solution. V3+=6 mM, Fe2+=1.2 mM, Picolinate=18 mM.. 3. Korean Chem. Eng. Res., Vol. 43, No. 1, February, 2005.
(21) [CÝö1ò,ö6ÜÄ. 38. ~ 2 { Ñ ¿j ÊK. Fig. 6(b)Q ç« { Í à ÷³ 50%¯ Î ~ Ëo à÷³ 80%¯ Fig. 4(b)Q 9 Gg ÝIs A ÄU pH à« ÍWÑ !¶ {(II) «5Ñ ¬K )-«T « ¬Jk³ ÍGñ 8_K {(II)-)- «T ôdís Ws < ¤ À. { õ à÷³ 20%³
(22) Ï
(23) {Ñ ¬K )-«T ¬J¯ «
(24) Ï ÍGñ Fig. 7(b)Ñ Ý׫ Fe(Pic) Q ço ôdí « c³ @ ê . «Q ç« {(II)-)-«T ~ Ë« ¡dæ2 o ÄUÑ Ë´À2 {Ñ 9g )-«T ôdf ¬J¯ zÇÑ D¯G2 ak³ ·Jk³ Sg Table 2Ñ ÷ à ÷³(III) Ú {(II) «5Ü« )-«T ôdís G2 8_ ¤(stability constant) ó«Ñ 9Çê. − 3. 4.. û «. )-«T ôdfÍ Ë´À2 f UÑ à÷³ Ú { « 5Ü ~ Ms pH àê Æ « ñ ñ6 ÆQÑ H. G. Ê )-«T LOMI ÆQÑ )-«T ¬ à÷³ P9õ ³_K àk³ K(O Î «5 ¡dÑ gGÊ ~ Ë =2 ¿j ¶(( :I. I ) -«T LOMI ÆQ H1 ÄUÑ «5 ¡d o K G. 6÷ I )-«T ÆQ ÄUÑ2 { (II)-)-«T ~ Ë =Í ¿j ¡dG2), « Q ço o ÄUÑ Ë´À2 {Ñ ¬K )-«T ¬J ¯ « zÇGD AéÑ ³´÷ à÷³(III) Ú {(II) «5Ü« ) -«T ôdís G2 8_ ¤(stability constant) ó« Ñ 9Çê. á õgÑ gK ~ Ëo «5Gh ÆÊê ço LOMI f U s- ê_Ñ ÄU ÆQ ¡dÑ !ñ ä s +GM÷ «gG2) kÎ KÄGj lÄî ¤ À.. +S 1. Davis, M. S., “The Impact of LWR Decontamination on Solidification, Waste Disposal and Associated Occupational Exposure,” NUREG/CR-3444, 2(1985). 2. Boles, J. S., Ritchie, K. and Crerar, D. A., “Reducing the Poten-. ¤@¤ C43× C1 2005 2. tial for Migration of Radioactive Waste: Aqueous Thermal Degradation of the Chelating Agent Disodium EDTA,” Nucl. Chem. Waste Manag., 7, 89-93(1987). 3. Kotrly, S. and Sucha, L., Handbook of Chemical Equilibria in Analytical Chemistry, John Wiley & Sons, New York(1985). 4. Macasek, F. and Navratil, J. D., Separation Chemistry, Ellis Horwood, New York(1992). 5. Bradbury, D., Segal, M. G., Sellers, R. M., Swan, T. and Wood, C. J., “Development of LOMI Chemical Decontamination Technology,” EPRI NP-3177(1983). 6. Perrin, D. D. and Sayce, I. G., “Computer Calculation of Equilibrium Concentrations in Mixtures of Metal Ions and Complexing Species,” Talanta, 14, 833-842(1967). 7. Dyrssen, D., Jagner, D. and Wengelin, F., Computer Calculation of Ionic Equilibria and Titration Procedures: with Specific Reference to Analytical Chemistry, p. 66, Almqvist and Wiksell, Stockholm; Wiley, New York(1968). 8. Shim, J. B., Oh, W. Z., Lee, B. J., Park, H. S. and Kim, J. D., “Electrodialysis of Vanadium(III) and Iron(II) Ions from a Simulated Decontamination Solution,” Sep. Sci. and Tech., 34, 1963(1999). 9. Powell, J. E. and Ingemanson, J. W., Inorganic Chemistry, 7, 2459(1968). 10. Lannon, A. M., Lappin, A. G. and Segal, M. G., “Redox Reactions of Some Iron(II), Iron(III), and Cobalt(III) Picolinate Complexes,” J. Chem. Soc. Dalton Trans., 619-624(1986). 11. Sillen, L. G. and Martell, A. E., Stability Constants of Metal-Ion Complexes, Special Publication No. 17, The Chemical Society, Burlington House, London(1964). 12. Shim, J. B., “Study on the Regeneration of the Decontamination Liquid Waste Containing V-Fe-Picolinate Complexes by the Resin-Filled Electrodialysis,” Ph.D. Dissertation, KAIST, Daejeon(1999). 13. Ingri, N., Kakolowicz, W., Sillen, L. G. and Warnqvist, B., Talanta, 14, 1261(1967). 14. Shim, J. B., Park, S. Y., Moon, J. K., Oh, W. Z. and Kim, J. D., “Study on the Regeneration of Decontamination Waste Solution Containing V(III)-Fe(II)-Picolinate Complexes in the Cation Exchange Resin Bed (I); Characteristics of Cation Exchange Reaction,” Proceedings of the Korean Nuclear Society Spring Meeting, Pohang, Korea, 2, 807(1994)..
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