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B@8F0B5;L=K9 ;>30@8D< :>=F5=B@0F88 8>=>2 2>4>@>40 =07K205BAO 2>4>@>4=K< ?>:070B5;5<: @ = - lg[+] 8 @ = -lg[ ]. >A:>;L:C 8>==>5 ?@>872545=85 2>4K ?@8 :><=0B=>9 B5<?5@0BC@5 @02=> 1(10 14, 4;O G8AB>9 2>4K @ = 7. @8 @ > 7 @0AB2>@ O2;O5BAO I5;>G=K<, 0 ?@8 @ < 7 - :8A;K<. >:070B5;L @ - AB5?5=L 0:B82=>AB8 ?@>B>=0 - 8<55B >3@><=>5 7=0G5=85 4;O :8A;>B=>-I5;>G=KE ?@>F5AA>2 35>E8<88. =0;>38G=CN @>;L B>;L:> 2 A;CG05 >:8A;8B5;L=>-2>AAB0=>28B5;L=KE ?@>F5AA>2 83@05B ?>:070B5;L h. @8 >:8A;8B5;L=>-2>AAB0=>28B5;L=KE ?@>F5AA0E ?@>8AE>48B ?5@540G0 ? M;5:B@>=>2 >B 2>AAB0=>28B5;O Red : >:8A;8B5;N >E: (Red( (>E +ne. >4 >:8A;5=85< ?>=8<0NB ?@>F5AA >B40G8 M;5:B@>=>2 (2>AAB0=>28B5;L >:8A;O5BAO), 0 ?>4 2>AAB0=>28B5;5< - 8E ?@85<0 (>:8A;8B5;L 2>AAB0=02;8205BAO). > 0=0;>388 A 25;8G8=>9 @ 2 :0G5AB25 AB5?5=8 0:B82=>AB8 M;5:B@>=0 8A?>;L7C5BAO @ =  lg[5]. >;55 C?>B@518B5;L=K< O2;O5BAO 25;8G8=0 >:8A;8B5;L=>-2>AAB0=>28B5;L=>3> ?>B5=F80;0 Eh = (2,3 R T/F) pE = 0,059@,(4)345 R - 307>20O ?>AB>O==0O, R = 8,314 6/(<>;L(); "  01A>;NB=0O B5<?5@0BC@0 (4;O 25>! RT = 2,479(103 6/<>;L); F  ?>AB>O==0O $0@045O, F = 9,65(104 :/<>;L. 5;8G8=0 Eh 87<5@O5BAO 2 2>;LB0E. 803@0<<K @  Eh ?>;CG8;8 G@572KG09=> H8@>:>5 @0A?@>AB@0=5=85 2 35>E8<88 8 =07K20NBAO 4803@0<<0<8 AB018;L=>AB8. ;O ?>=8<0=8O ACB8 MB8E 4803@0<< >E0@0:B5@87C5< AB018;L=>ABL A0<>9 2>4K A ?><>ILN 42CE ?>;C@50:F89 (@8A.5): 0,252(307) + + + 5 (0,52, (RGo =  118,65 :6/<>;L, lg = 20,8; 2 + 5 ( 0,52307 +  , (RGo = 79,9 :6/<>;L, lg = -14,0, 345 (RGo  87<5=5=85 A2>1>4=>9 M=5@388;   :>MDD8F85=B @02=>25A8O. A;8 (RGo ( 0, - @50:F8O 845B A;520 =0?@02> (87 8AE>4=KE 25I5AB2 >1@07CNBAO ?@>4C:BK @50:F88), ?@8 (RGo ( 0 @50:F8O 845B A?@020 =0;52> (8AE>4=K5 25I5AB20 >1@07CNBAO 87 ?@>4C:B>2 @50:F88). @8 ?0@F80;L=>< 402;5=88 1050 ?>;CG8< C@02=5=8O: @ = 20,8  @; @ = -@, ?5@2>5 87 :>B>@KE A>>B25BAB2C5B ?@O<>9 1 (@8AC=>:5), 0 2B>@>5  ?@O<>9 2. KH5 ;8=88 1 2 @07;0305BAO 2A;54AB285 >:8A;5=8O =0 307>>1@07=K9 :8A;>@>4 8 +, 0 =865 ;8=88 2, ?@8 2>AAB0=>2;5=88, - =0 307>>1@07=K9 2>4>@>4 8  . 4.2.3. !>AB02 384@>AD5@K > ?>4AG5B0< ..>;L4H<84B0, =0 1A<2 75<=>9 ?>25@E=>AB8 ?@8E>48BAO 273; 2>4K, 2 B>< G8A;5 268,45; <>@A:>9 2>4K, 0,1; ?@5A=>9 2>4K, 4,5; 2>4K, 70:;NG5==>9 2 <0B5@8:>2KE ;L40E 8 0,003; 2>4K 2 D>@<5 2>4O=>3> ?0@0. !>AB02K 4>6452KE, @5G=KE, <>@A:8E 8 ?>475<=KE 2>4 @07;8G=K (B01;8F08). ;02=K<8 :><?>=5=B0<8 <>@A:>9 2>4K O2;ONBAO 8>=K =0B@8O 8 E;>@0, :>B>@K5 4;O @5G=KE 8 3@C=B>2KE 2>4 8<5NB ?>4G8=5==>5 7=0G5=85.  MB8E 2>40E 3;025=AB2CNB 8>=K :0;LF8O, 384@>:0@1>=0B (:0@1>=0B)-8>=. ;O 4>6452>9 2>4K =081>;55 E0@0:B5@=K 8>=K =0B@8O, :0;LF8O, AC;LD0B-8>=. 5>1E>48<> >B<5B8BL, GB> 2 B01;.8 ?@82545= CA@54=5==K9 A>AB02 ?@8@>4=KE 2>4, =5 8A?KB02H8E B5E=>35==>3> 2;8O=8O. !>AB02 2>4 2> <=>3>< 7028A8B >B :;8<0B0  8AC=>:5. 803@0<<0 AB018;L=>AB8 2>4K (B5<?5@0BC@0, 2;06=>ABL, :>;8G5AB2> >A04:>2, A57>==>ABL), H8@>B=>9 8 2KA>B=>9 ?@82O7:8, <5AB=>3> B5E=>35==>3> 2>7459AB28O 8 <=>38E 4@C38E D0:B>@>2. !@54=89 A>AB02 ?@5A=KE 2>4 >?8AK205BAO A;54CNI59 D>@<C;>9 C@;>20:  EMBED Equation.3  (5) "01;8F0 8 !>AB02 ?@8@>4=KE 2>4, G/<;= ><?>=5=B>64520O 2>40 5G=0O 2>40>@A:0O 2>40@C=B>2K5 2>4K C<5@5==>3> :;8<0B0N0  !0 g !l SOEMBED Equation.3 !EMBED Equation.3 + 2!O3 Si1,1 0,26 0,97 0,36 1,1 4,2 1,2 0,835,8 2,1 20,0 3,4 5,7 12 35 8,110560 380 400 1270 18980 2650 140 0,05-2* 2,5-523,8 3,04 37,3 10,5 10,9 14,7 212 14,3* G8A;8B5;5  4;O ?>25@E=>AB=KE A;>52, 2 7=0<5=0B5;5  4;O 3;C18==KE. >2>@O > A@54=5< A>45@60=88 E8<8G5A:8E M;5<5=B>2 8 8>=>2 2 3@C=B>2KE 2>40E, E8<8G5A:85 M;5<5=BK 8 8>=K 2 =8E ?>4@0745;ONB =0 3;02=K5 (480?07>= :>=F5=B@0F89 1,0-1000G/<;=), 2B>@>AB5?5==K5 (0,01-10,0G/<;=), <0;K5 (0,00001-0,1G/<;=) 8 <8:@>:><?>=5=BK (=5 1>;55 0,001G/<;=).  A>>B25BAB288 A B0:>9 :;0AA8D8:0F859 =07>25< 3;02=K5 :><?>=5=BK 3@C=B>2KE 2>4: :0B8>=K - =0B@89, :0;LF89 8 <03=89; 0=8>=K - 18:0@1>=0B, AC;LD0BK 8 E;>@84K; :@5<=575<, 2AB@5G0NI89AO 8 2 2845 0=8>=0, 8 2 2845 :0B8>=0. 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"@>?>AD5@0 - MB> =86=89 A;>9 0B<>AD5@K A 8=B5=A82=K< ?5@5<5H820=85< 2>74CH=KE <0AA 8 >4=>@>4=K< E8<8G5A:8< A>AB02><, 53> 2KA>B0 2 ?>;O@=KE AB@0=0E 11:<, 2 B@>?8G5A:8E - 4> 17:<. "5<?5@0BC@0 2>74CE0 2 B@>?>AD5@5 C1K205B >1KG=> =0 0,5! =0 :064K5 100<. 5@E=OO 3@0=8F0 B@>?>AD5@K >B<5G5=0 B0: =07K205<>9 B@>?>?0C7>9. KH5 B@>?>?0C7K @0A?>;0305BAO AB@0B>AD5@0 (@8AC=>:6), 4;O :>B>@>9 E0@0:B5@=> C<5=LH5=85 BC@1C;5=B=>3> ?5@5<5H820=8O 2>74CE0. 0 2KA>B5 35:< B5<?5@0BC@0 =0G8=05B ?>2KH0BLAO 8 4>AB8305B 0! ?@81;878B5;L=> =0 2KA>B5 50:<. 4.3.2. %8<8G5A:89 A>AB02 0B<>AD5@K > E8<8G5A:><C A>AB02C 2AN 0B<>AD5@C @0745;ONB =0 35B5@>AD5@C 8 3><>AD5@C. 5B5@>AD5@0 - 25@E=OO G0ABL 0B<>AD5@K 5<;8, :>B>@0O =0G8=05BAO ?@8<5@=> A 2KA>BK 100:< 8 8<55B =5>4=>@>4=K9 E8<8G5A:89 A>AB02. 865 @0A?>;0305BAO 0B<>AD5@=K9 A;>9, >B=>AOI89AO : 3><>AD5@5, :>B>@K9 8<55B A>AB02, AE>4=K9 A ?@875<=K< 2>74CE><. '5B:>9 3@0=8FK <564C  8AC=>:6. !B@>5=85 0B<>AD5@K 5<;8 8 :@820O 87<5=5=89 B5<?5@0BC@K " A 2KA>B>9 . 25@E=59 8 =86=59 G0ABO<8 0B<>AD5@K =5 ACI5AB2C5B. ;O 25@E=59 G0AB8 0B<>AD5@K E0@0:B5@=K ?@>F5AAK 48AA>F80F88 8 8>=870F88 307>2, :>B>@K5 ?@>8AE>4OB ?>4 2;8O=85< 87;CG5=8O !>;=F0. B<>AD5@=K9 2>74CE ?@54AB02;O5B A>1>9 307>2CN A<5AL (B01;8F09), 2 >A=>2=>< 07>B0 8 :8A;>@>40. "01;8F0 9 !@54=89 E8<8G5A:89 A>AB02 0B<>AD5@K (ACE>9 2>74CE) 07!>45@60=85, %0AA>20O 4>;O, %1I0O <0AA0, 10203N2 O2 3 !2 N5 5 !4 3 N2O 2 %5 3*78,0900 20,9500 0,9300 0,0300 0,0018 0,00052 0,00022 0,0001 0,0001 0,00005 0,000008 0,00000175,5100 23,1500 1,2800 0,0460 0,00125 0,000072 0,00012 0,00029 0,00015 0,000003 0,000036 0,00003638,648 11,841 0,655 0,0233 0,000636 0,000037 0,000062 0,000146 0,000077 0,000002 0,000038 0,000031*!>45@60=85 C25;8G8205BAO A 2KA>B>9.  A>AB025 0B<>AD5@K 2K45;ONB 425 3@C??K A>AB02;ONI8E 307>2: ?>AB>O==KE 8 ?5@5<5==KE. 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"01;8F0 12 O4K 18>;>38G5A:>3> ?>3;>I5=8O M;5<5=B>2 (?> ..5@5;L<0=C) %0@0:B5@ =0:>?;5=8O!B5?5=L =0:>?;5=8OEn(100n(10nn(0,1n(0,1-0,001)8>;>38G5A-:>5 =0:>?;5=85-=5@35B8G5A:>5 , S, !l, Br, I!8;L=>5Ca, Na, K, Mg, Sr, Zn, B, Se8>;>38G5A-:89 70E20B!@54=55Mn, F, Ba, Ni, Cu, Ga, Co, Pb, Sn, As, Mo, Hg, Ag, Ra!;01>5Si, Al, Fe, Ti, Zr, Rb, V, Cr, Li, Y, Nb, Th, Sc, Be, Cs, Ta, U, W, Sb, Cd  A>AB025 2A5E 682>B=KE 8 @0AB8B5;L=KE >@30=87<>2 ?@>O2;O5BAO >4=0 >A>15==>ABL: M;5<5=BK ?>=865==>3> @0A?@>AB@0=5=8O >1KG=> >:07K20NBAO B>:A8G=K<8. > B>:A8G=>AB8 E8<8G5A:85 M;5<5=B>2 :;0AA8D8F8@CNBAO A;54CNI8< >1@07><: #@>25=L B>:A8G=>AB8 -;5<5=BK 5B>:A8G=K5 (=5:@8B8G5A:85) G5=L B>:A8G=K5 8 >B=>A8B5;L=> @0A?@>AB@0=5==K5 ">:A8G=K5, => >G5=L @54:85 8;8 ?;>E> @0AB2>@8<K5 Na,C, F, , , Li, Mg, Fe, Rb, Ca, S, Sr, H, Cl, Al, O, Br, Si, N Be, As, Au, Co, Se, Hg, Ni, "5, !8, Rd, Pb, Zn, Cd, Sb, Sn, Ag, Bi, Pt Ti, Ga, Hf, La, Zr, Os, W, Rh, Nb, Ir, "0, Ru, Re, Ba  8>AD5@0 >1;0405B A@54>>1@07CNI59 DC=:F859, 70:;NG0NI59AO 2 ?@5>1@07>20=88 D878:>-E8<8G5A:8E ?0@0<5B@>2 A@54K 2 @57C;LB0B5 687=545OB5;L=>AB8 >@30=87<>2.  @57C;LB0B5 687=545OB5;L=>AB8 @0AB5=8O 2K45;ONB :8A;>@>4, O2;ONI89AO A8;L=59H8< >:8A;8B5;5<, 8 >@30=8G5A:85 25I5AB20, O2;ONI85AO A8;L=59H8< 2>AAB0=>28B5;5<. 1@07>20=85 <8=5@0;>2 O2;O5BAO >4=8< 87 E0@0:B5@=KE ?@>O2;5=89 35>E8<8G5A:>9 45OB5;L=>AB8 682KE >@30=87<>2. 0==K5 ?> @0A?@545;5=8N 18>35==KE <8=5@0;>2 <564C 3@C??0<8 >@30=87<>2 ?>:07K205B, GB> 25 <8=5@0;>2 A8=B578@CNBAO 682>B=K<8, 11 - ?@>AB59H8<8 @0AB5=8O<8, 7 - 2KAH8<8 @0AB5=8O<8 8 4 - 3@810<8. 0@1>=0B=K5 <8=5@0;K (:0: ?@028;>, !0!3) O2;ONBAO =081>;55 @0A?@>AB@0=5==K<8 18>=5>@30=8G5A:8<8 >1@07>20=8O<8. @5<=575< (>?0; SiO2(2H2O) 70=8<05B 2B>@>5 <5AB> A@548 <8=5@0;>2, 2>7=8:0NI8E 18>35==K< ?CB5<. 07>25< 8 4@C385 18>35==K5 <8=5@0;K: D>AD0BK :0;LF8O, <03=8O, 65;570 [Ca3Mg3(PO4)4; Fe3(PO4)2(8H2O], AC;LD0BK :0;LF8O, AB@>=F8O, 10@8O (CaSO4, SrSO4, BaSO4), DB>@84 :0;LF8O - D;N>@8B CaF2; >:A84K 65;570 8 <0@30=F0 [Fe3O4, Fe2O3, FeO(OH), MnO2 (n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h), O2;5=8O BO3>B5=8O 8 4@., 0 : 2=CB@5==8<  A2>9AB20 A0<8E M;5<5=B>2 (20;5=B=>ABL, @07<5@ 8 AB@>5=85 M;5:B@>==>9 >1>;>G:8, ?>B5=F80;K 8>=870F88, A@>4AB2> : M;5:B@>=C 8 4@C385 ?@>O2;O5<K5 2 E8<88 A2O78), 8E A?>A>1=>ABL 4020BL A>548=5=8O @07;8G=>9 @0AB2>@8<>AB8, ;5BCG5AB8, B25@4>AB8. 5.1.1.=CB@5==85 D0:B>@K <83@0F88 -;5:B@>AB0B8G5A:85 (:@8AB0;;870F8>==K5) A2>9AB20 8>=>2. -BC 3@C??C D0:B>@>2 =5>1E>48<> CG8BK20BL B>;L:> ?@8 <83@0F88 M;5<5=B>2 2 2845 A2>1>4=KE 8>=>2. 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"0:, =0 ?>25@E=>AB8 ;8B>AD5@K B5<?5@0BC@0 :>;51;5BAO 2 >A=>2=>< >B -20 4> +40 !. ! 3;C18=>9 B5<?5@0BC@0 @0AB5B, => A @07=>9 8=B5=A82=>ABLN.  ?>B><C =0 >4=8E 8 B5E 65 3;C18=0E B5<?5@0BC@0 =5>48=0:>20. 0?@8<5@, =0 3;C18=5 30 :< 70D8:A8@>20=K B5<?5@0BC@K >B 300 4> 1250 !. 7<5=5=85 @ 8 Eh >?@545;O5BAO A>>B=>H5=85< 2708<=>9 :>=F5=B@0F88 M;5<5=B>2 8 @07=>>1@0785< 8E E8<8G5A:8E A2>9AB2. A>1>5 7=0G5=85 MB8 D0:B>@K 8<5NB 1;87 ?>25@E=>AB8, 2 7>=5 ?@>=8:=>25=8O 2 ;8B>AD5@C 384@>AD5@K. ;O 3;C18==KE 7>= 2;8O=85 @- 8 Eh-CA;>289 87CG5=> <0;>. !;>6=K< A>G5B0=85< 2=5H=8E 8 2=CB@5==8E D0:B>@>2 <83@0F88 >1CA;>2;8205BAO @07=>>1@0785 8 <0AHB01K <83@0F88 M;5<5=B>2 2 ?@8@>45. %0@0:B5@8AB8:>9 <83@0F88 <>65B A;C68BL @01>B0, A>25@H05<0O ?@8 ?5@5<5I5=88 E8<8G5A:8E M;5<5=B>2,  = f(E, U),(6)345  8 U - M:AB5=A82=K5 8 8=B5=A82=K5 ?0@0<5B@K.  M:AB5=A82=K< ?0@0<5B@0< >B=>AOB, =0?@8<5@, @0AAB>O=85, =0 :>B>@>5 <83@8@C5B M;5<5=B, 8 <0AAC ?5@5<5I5==>3> M;5<5=B0, : M:AB5=A82=K< - A:>@>ABL <83@0F88. =B5=A82=>ABL <83@0F88 2K@0605BAO A:>@>ABLN ?5@5E>40 2 ?>4286=>5 A>AB>O=85 1 3 25I5AB20 40==>3> M;5<5=B0: E =  EMBED Equation.3 (7)345 bx  A>45@60=85 M;5<5=B0 2 ?@8@>4=>9 A8AB5<5; t - 2@5<O. 7 D>@<C;K (7) A;54C5B, GB> 8=B5=A82=>ABL <83@0F88 M;5<5=B0 2 40==>9 35>E8<8G5A:>9 A8AB5<5 B5< 2KH5, G5< =865 53> :>=F5=B@0F8O bE. =B5=A82=>ABL 2>4=>9 <83@0F88 E0@0:B5@87C5BAO :>MDD8F85=B>< 2>4=>9 <83@0F88: E =  EMBED Equation.3 ,(8)345 0 - AC<<0 <8=5@0;L=KE 25I5AB2, @0AB2>@8<KE 2 2>45, 3/;; BE 8 ?E - A>45@60=85 M;5<5=B0 E 2 2>45 8 2 ?>@>45 A>>B25BAB25==>, 3/; 8 %. >MDD8F85=B 2>4=>9 <83@0F88 E0@0:B5@87C5B B>;L:> >B=>A8B5;L=CN ?>4286=>ABL E8<8G5A:8E M;5<5=B>2, >1CA;>2;5==CN @07;8G=>9 A:>@>ABLN 2K=>A0 8E 87 3>@=KE ?>@>4, => =5 405B ?@54AB02;5=8O >1 87<5=5=88 <83@0F8>==>9 A?>A>1=>AB8 M;5<5=B0 2 ?@>F5AA5 @0728B8O A8AB5<K 2>40  ?>@>40 (B01;8F015). 4=8< 87 206=59H8E <><5=B>2 2 @0728B88 A8AB5<K 2>40 - ?>@>40 O2;O5BAO 87<5=5=85 E0@0:B5@0 8E 2708<>459AB28O 2> 2@5<5=8 8, :0: A;54AB285, 87<5=5=85 <83@0F8>==>9 A?>A>1=>AB8 M;5<5=B>2, E0@0:B5@87C5<>5 :>MDD8F85=B>< 8=B5=A82=>AB8 >A0645=8O: > =  EMBED Equation.3 (9)345 no - A>45@60=85 8AA;54C5<>3> M;5<5=B0 2 ?@>4C:B0E @50:F88 (2 ?>G25, 384@>:A840E, :0@1>=0B0E 8 B.?.), %. "01;8F0 15 =B5=A82=>ABL <83@0F88 M;5<5=B>2 2 ?>475<=KE 2>40E 7>=K 38?5@35=570 -;5<5=B!>45@60=85 M;5<5=B>2>MDD8F85=B 2>4=>9 <83@0F88 x2 2>40E x, 3/; (?>!..(20@F52C)2 75<=>9 :>@5, % (?>..8=>3@04>2C)!l4,7(10-2 1,7(10-2644 r 1,83(10-4 2,1(10-4203 J 1,61(10-5 4(10-599 g 1,86(10-2 1,872,3 !a 4,3(10-2 2,963,3 Na 4,55(10-2 2,54,2 F 4,5(10-4 6,6(10-21,6 Zn 3,4(10-5 8,3(10-30,94 Sr 1,85(10-4 3,4(10-21,2 Mo 2,06(10-61,1(10-44,4  4,59(10-3 2,50,43 P 5,75(10-5 9,3(10-20,14 Mn 4,94(10-5 0,10,11 Ni 3,31(10-6 5,8(10-30,13 !8 5,58(10-64,7(10-30,27 Fe 5,47(10-44,650,02 Al 2,79(10-48,050,008 Ti 1,07(10-50,450,005 Cr 2,9(10-68,3(10-30,08 V 2,06(10-69(10-30,05 Zr 1,3(10-61,7(10-20,017 Th 4,2(10-7 1,3(10-30,07  >MDD8F85=B 8=B5=A82=>AB8 >A0645=8O - MB> CA;>2=0O 25;8G8=0, A>>B25BAB2CNI0O >B=>A8B5;L=>9 A:>@>AB8 2K2>40 >A0645=8O) M;5<5=B>2 87 @0AB2>@0. '5< 1>;LH5 M;5<5=B0 2 :04:5, B5< <5=LH5 7=0G5=85 >, B.5. 1>;LH5 A:>@>ABL >A0645=8O M;5<5=B0 8 <5=LH5 53> <83@0F8>==0O A?>A>1=>ABL. "0:8< >1@07><, :>MDD8F85=B 2>4=>9 <83@0F88 E E0@0:B5@87C5B >B=>A8B5;L=K9 2K=>A M;5<5=B>2 87 3>@=>9 ?>@>4K, 0 :>MDD8F85=B 8=B5=A82=>AB8 >A0645=8O > - >B=>A8B5;L=CN AB5?5=L A2O7K20=8O M;5<5=B>2 2B>@8G=K<8 ?@>4C:B0<8. 5>E8<8G5A:0O ?>4286=>ABL M;5<5=B0 O2;O5BAO @57C;LB0B>< 2>7459AB28O MB8E 42CE ?@>F5AA>2. >MDD8F85=B 35>E8<8G5A:>9 ?>4286=>AB8 ? = E + >; ? = E(1 + nx, / no); ? = >(1 + no/ nx)(10)=0;87 C@02=5=89 (10) ?>:07K205B, GB> 5A;8 2K25B@820=85 3>@=KE ?>@>4 A>?@>2>6405BAO >1@07>20=85< 2B>@8G=KE ?@>4C:B>2 A 1>;55 =87:8< A>45@60=85< M;5<5=B0, B> :>MDD8F85=B 35>E8<8G5A:>9 ?>4286=>AB8 C25;8G8205BAO >B=>A8B5;L=> x, => ?@81;8605BAO : o, 8, =0>1>@>B, 5A;8 2K25B@820=85 A>?@>2>6405BAO :>=F5=B@8@>20=85< M;5<5=B0, :>MDD8F85=B 53> 35>E8<8G5A:>9 ?>4286=>AB8 C25;8G8205BAO >B=>A8B5;L=> o, => ?@81;8605BAO : x. ;O >?@545;5=8O ?>4286=>AB8 :0:>3>-;81> M;5<5=B0 2 :>=:@5B=KE ?@8@>4=KE CA;>28OE =5>1E>48<> 7=0BL, :0:85 ?>@>4K E8<8G5A:8 @07@CH0NBAO, :0:85 2B>@8G=K5 ?@>4C:BK >1@07CNBAO, :0:>2K :>=F5=B@0F88 8AA;54C5<>3> M;5<5=B0 2 B5E 8 4@C38E, 0 B0:65 2 0AA>F88@CNI8E A =8<8 2>40E. 5.2. 84K <83@0F88 M;5<5=B>2  7028A8<>AB8 >B B>3>, 2 :0:>9 D>@<5 ?5@5<5I0NBAO E8<8G5A:85 M;5<5=BK, <83@0F8N :;0AA8D8F8@CNB A;54CNI8< >1@07><: <5E0=8G5A:0O - <83@0F8O, ?>4G8=ONI0OAO 70:>=0< <5E0=8:8 (=0?@8<5@, >1@07>20=85 @>AAK?59, 25B@>20O 8 2>4=0O M@>78O); D878:>-E8<8G5A:0O - <83@0F8O, ?>4G8=ONI0OAO 70:>=0< D878:8 8 E8<88 (48DDC78O, @0AB2>@5=85, >A0645=85, A>@1F8O, 45A>@1F8O 8 B.?.); <83@0F8O 2 2845 307>2 2 0B<>AD5@5, 2>45 8 ?>G25 (B0:8< >1@07>< <83@8@CNB 8=5@B=K5 307K, :8A;>@>4, 07>B); :>;;>84=0O - <83@0F8O 2 2845 :>;;>84=KE A>548=5=89 =5>@30=8G5A:>3> 8, >A>15==>, >@30=8G5A:>3> ?@>8AE>645=8O (B0:>20 <83@0F8O @O40 <5B0;;>2: Al, Fe, Mn, Zr, Sn, Ti, V, Cr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