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Êîäèðîâêà:
« . ..»







: , ..

: , ..

: .-., c... .. 2014


1. 1.1. 1.2. 1.3. 2. 2.1.Topos 16 5 8 13 3

2.2.GULP ­ - 2.3. 17 19

3. MgSiO3 20 4. 4.1. MgSiO 4.2. MgSiO
3

29 33 36 37

3

2


, , . , - . MgSiO3 , CaSiO3, , . . , - , (1992) MgSiO
3.







CaSiO3, TOPOS . . , .. , . - .. ( , . .. , .) . 12-05-00809- « », 12-05-00983- « - ». «-» (http://parallel.ru/cluster). , . .. ., .
3




3 7 2013 . « », TOPOS . : 1) ; 2) .

4


1.
1.1. - . . , , 90% , 1 . , . , , , , . , , . , . , , . , , , , . , , , . [, 1999]. , , . . , .. 2900 30 ( ). 6371 . . 410 : . . 670 .
5



(

2000

)






. D", , . (.1)

1.

. 24-410 . , . , , 220 ( ), [endelhson and Price, 1997]. , 300 , [Williams et al, 2005]. , 2(g,F)SiO3 = (Mg,Fe)2SiO4 () + SiO2 ().

6


15 1600-1700 , .. , 450 . , 300 . 410-670 . «410 » -, «520 » - . , 410 670 « », , , , , (g,Al)(Si,Al) 3 . «670 » , 80% , g- (20%) NaCl. , : CaCl2, -2, -, KAlSi3O8, , MgAl2O4 NaAlSiO4 , CaFe2O4 -, CaTi2O4. 410, 520 670 . ( ) , , 900, 1200-1300 2700 , 1700, 1900 -2000, 2850 . , .

7


1.2. , , - . . . . , 1200 , .. [Funamori et al, 1998]. 1200 CaCl2, . SiO2 ( CaCl2) 50 . 1200 , , -1500 . -100 SiO2 -b2 [ , 1997] . , , , SiO2 [Prewitt, 2003] (210 ). 200 [Kuwayama et al, 2005]. - , . , , . , SiO2, , , ,
8





, ,


gSi - MgO SiO2. , [Murakami et al, 2006] [Oganov and Price, 2005] , . , , CaCl2, [Oganov et al, 2005] . SiO , ,
2



, , SiO2 . , . MgO/SiO2 > 1 MgO gSiO . , , , , , . . F 70 [Knitle et al, 1986]. , -, . , . ( g0.9Fe0.1)Si. , 70 (-1850 ), 120 (2700 ), .. D" . gSi. ( -) , .

9


[Frost et al, 2004], gSi Fe 3+, Fe2+, . , - Fe , ,gSi : 3Fe2+( ) =2F+( ) + F(), [Frost et al, 2004]. [Oganov and Price, 2005] , Fe
3+ 2+





( ,

Fe3+) Mg- Si-. , [Frost et al, 2004] 100 . ,

. , , , , . , , . , , - . , , - . , , , . - ( D"). .. , 40- XX . , D' (984-2700 ), - D" (2700-2900 ). D" . - . - . , ( 3000 25-70 )
10


(Mg,Fe)SiO , . [Badro, 2003] - FeSi. , y - , gSiO lr 125-127 2500-3000, 27002740 , .. D" [Oganov et al, 2005]. , , 1.2%. , gSiO lrO - D", 2700-2890 . [Murakami et al, 2004]. , , -, [Ono et al, 2004] Fe2O3. 30 - Fe2O3 () , 50 [Oganov et al, 2005] [Oganov et al, 2005] , gSiO (. 2). = 0, , , «» «», . D" . , «» «» , [Oganov et al, 2005] . «» D". MgSiO3 IrO, 130 [, - [Oganov et al, 2005] , , 90 MgSiO3 [ , 1994] O. , , , ,
11


- (g,F)SiO, (Mg,Fe)O SiO. Al2O3 130 1500 , .. IrO, , 2010] gSiO, . [ .. .,

2. gSiO [Oganov et al, 2005] - ; , - , 22 3xl, ; - «». Mg.

12


1.3. , CaAl4Si2O11, CaAl2Si2O8 ( ) 14 . [Gautron et al, 1996]. , , ( CAS Ca-AlSi ), 1994 . [Ilifune et al, 1994]. CAS . , , : a=5.4 å C=12.7 å, P63mc, P62c P63/mmc. , AS , , 3.94 /3, . Ba-, . : P63/mmc. , ¾ , Ca-12, Al Si . , CAS. [Elsevier Science, 1997] CaSiO3 . , , (Mg,Fe)SiO3 (. ) , CaSiO
3

(. ,

7-8 % [, Irifune, 1994]. , , , . [Stacey and Isaak, 2001]. CaSiO3 , , 10- 13a . , CaSiO3 , , . , , [Shim et al, 2002; Kurashina et al, 2004],
13


[Stixrude et al, 1996; Chizmeshya et al, 1996; Magyari et al, 2002; Karakas et al, 2005]. CaSiO3 [, et al, 1989; Tamai Yagi, 1989; Van et al, 1996; Sheem et al 2000, 2002; Kurashina ey al, 2004; Shieh et al, 2004]. 42 . [, Wentzcovitch et al, 1995; . Chizmeshya et al, 1996; Stixrude et al, 1996] . , , , CaSiO .
3



[Karakas et al, 2005] :

CaSiO3, . , , I4/mcm 16a . I4/mcm - , , I4/mcm . , , 250 a , R- 3. [Van et al, 1996 ; Sheam et al, 2002] , , [ et al, 1989; Tamai and Yagi, 1989]. , , 600 - 1200 25 ­ 120a , , [Karakas et al, 2005]. , 2000 - 2500, , CaSiO3 (.3). , [Li et al, 2006] . , , .
14


[Karki and Crain, 1998], . .

3. P T CaSiO3 . [Kurashina et al, 2004]

15


2. 2.1.Topos
Topos 3.2/4 . . Topos 3.2./4 , (), , , . 1. - . 2. . 3. . 4. . 5. . 6. . 7. . 8. . 9. . 10. . . 11. 12. . , " , . '-- [http://www.topos.ssu.samara.ru/] .

16


2.2.GULP ­ - . : WMIN, EMIN, METAPOCS, PLUTO, CASCADE, GULP . . . , , ( 15-20 å). , . -. -: (.4)

.4. [ , 2012]

17


GULP (General Utility Lattice Program) [J. Gale, 1997] . : · ; · ; · P-T ; · - ; · , - . · , ; · , ; · ; · (electronegativity equilization model); · ; · . , , , , . GULP 4.0 WINDOWS.

18


2.3. . 90% , [, , 2004]. . [ Gale J.D. Rohl A.L., 2003] -, , - .

A exp(-r/)-C/r

6







o - (-C/r6) . , , .

19


3. MgSiO3
MgSiO3 (1992) . (.1) MgSiO3. : Pbca. : a=18.227; b=8.819; c=5.179 : 31.33 3
-1

MgSiO3. : P21/c. : a=9.605; b=8.813; c=5.166 : 31.22 3
-1

20


MgSiO3. : Pbcn. : a=9.306; b=8.892; c=5.349 : 31.32 3
-1

MgSiO3. : I41/a : a=11.501; b=11.501; c=11.480 : 28.58 3
-1

21


MgSiO3. : R3 : a=4.728; b=4.728; c=13.56 : 26.35 3
-1



MgSiO3. : Pbnm : a=4.775; b=4.929; c=6.897 : 24.44 3
-1



1. 6 MgSiO
22

3


() - , (), , , -- -. , MgSiO3: Pbca (), P21/c (), Pbcn (), I41/a (), R3- () Pbnm (). - , , . , P21/c , . MgSiO3 , . Pbca P21/c , ; Pbca , P21/c . 1273 , Pbca - Pbcn [Smith,1974; Murakami et al,1982], , , 1830 [Kusiro, 1972]. Pbcn . Pbcn, Pbca P21/c [Smith, 1974; .Murakami et al, 1982], , Pbcn [Lee Heuer, 1987; Shraider et al, 1990]. , Pbca , % ( Mg2SiO4) (SiO2) , (Mg2SiO4 ) , [Ringwood, 1975 ; aogi and Akimoto, 1977; , 1985] . , , , , Pbca P21/c , I41/a, R3- Pbnm [Kato and Kumazawa, 1985; Sawamoto, 1987]. : ,
23


, , [Angel et al, 1989; Horiuchi et al, 1987], . [Price et al, 1987; Matsui, 1988], , , . , [Price et al, 1989].

, MgSiO3, , MgSiO3 [Matsui, 1988]. , : , MgSiO . , [Murakami et al, 1982] 1673 1830 . , [Pacalo and Gasparik, 1990] MgGeO3. . [ Nos, 1984 ] [Parrinelo and Rahman, 1981]. , , 6 (a 2b 3, 480 ) Pbca, 12 (2 2b 3 , 480 ), P21/c Pbcn , 8 (2a1 22 2c , 1280 ) I41/a, 12 (3a1 2 (1 +2 a2) c, 360 ) R3- 27 (3 3b 3c , 540 ) Pbnm. (.2) , ( 5000 = 5 , ),
3

,

24


.

2 . (), . , , . - , , [Matsui, 1989]. , , Mg Si I41/a, MgSiO3 [kmillan et al, 1989], , Mg Si , , . , [Angel et al, 1989]. , ( ) . , , , , . . , Pbnm, ,
25


[Matsui, 1988], , .

MgSiO3 ,c / , Pbca [Weidner et al, 1978], Pbcn [Vaughan and Bas, 1983], I41/a [Akaogi et al, 1987], R3- [Weidner et al, 1985] Pbnm [Yeganeh ­ Hayry et al, 1989], Pbca. 3, 300 0 , 22% , 21% , 11% , 6%, 1% Pbca, P21/c, Pbcn, , . Pbca Pbcn , . , , [Matsui, 1988], Si O 1,80 å, Si Pbca Pbcn O Si-O 1,63 å. , 20% , P21/c ( 3), P21/c Pbca Pbcn. I41/a, - - Si, . , , O- Si-O Si -O-Si , Si, , [Matsui et al, 1984] [Price et al, 1987]. , , , Pbca [Skinner, 1966], P21/c [Smith, 1974], I41/a [Scinner, 1966], [Ashida et al, 1988], [Knittle et al, 1986], 1353 1633 Pbcn [Murakami et al, 1984]. I41/a,

26


















. , Pbca, P21/c Pbcn 50 60% . Pbca, P21/c Pbcn, . Pbca [Akaogi et al, 1991], [Ashida et al, 1988] [Yto et al, 1990], , 31 (3) 983 , 59 (4) 298 110 (4) 298 , .

3. MgSiO3 0 [ Matsui and Price, 1992]

Pbca I41/a, Pbca [Krupka et al, 1985] I41/a [Yusa et al, 1991] 292 32 (3) . ,

27


: < < <, . MgSiO
3,

,

MgSiO3 300 0 ,

3, , , , . , - , [Angel et al, 1989] .

28


4.
4.1. MgSiO
3

C TOPOS - . 4 , . , , , , . , , ,

, , , . Pbca () Frevel, L.K. The crystal structure of sodium sulfate III, Journal of Chemical Physics, 1940, 8, 290-290 Marchand, R.;l'Haridon, P.;Laurent, Y.Structure cristalline de Eu2(II) SiO4 beta, Journal of Solid State Chemistry ,1978, 24, 7176 Weber, H.J.;Schulz, M.;Schmitz, S.;Granzin, J.;Siegert, H. Determination and structural application of anisotropic bond polarisabilities in complex crystals, Journal of Physics: Condensed Matter (1989), 1, 8543-8557 Creer, J.G.;Troup, G.F.J.The Crystal and Magnetic Structures of Mn2GeO4, Solid State Communications (1970), 8, 1183-1188 Becht, H.Y.;Struikmans, R. A monoclinic hightemperature modification of potassium carbonate, Acta Crystallographica, (1976), 32, 3344-3346 Krishnamachari, N.;Calvo, C. Crystallographic studies of cobalt arsenate. III. Crystal structure of Co6.95 As3.62 O16.Canadian Journal of Chemistry, (1973), 51, 46-50
29


P21/c ()

Felsche, J. The crystal structure of the low form of Eu2SiO4, Naturwissenschaften, (1971), 58, 218-219 Mori, K.;Kiyanagi, R.;Yonemura, M.;Iwase, K.;Sato, T.;Itoh K.;Sugiyama, M.;Kamiyama, T.;Fukunaga, T. Charge states of Ca atoms in beta-dicalcium silicate, Journal of Solid State Chemistry (2006), 179(11), 3286-3294 Catti, M.;Gazzoni, G.;Ivaldi, G. Structures of twinned Sr2SiO4-beta and of Sr1.9 Ba0.1SiO4alpha, Acta Crystallographica , (1983), 39, 2934 Nishi, F.;Takeuchi, Y. Structure of a high temperature modification of Sr2GeO4,European Crystallographic Meeting, (1991), 13, 197-197 Idemoto, Y.;Ricardson, J.W.jr.;Koura, N.;Kohara, S.;Loong, C. Crystal structure of (Lix K1-x)2 (CO3) (x= 0, 0.43, 0.5, 0.62, 1) by neutron powder diffraction analysis. Journal of Physics and Chemistry of Solids (1998), 59, 363-376 Tamada, O.;Shen, B.;Morimoto, N. The crystal structure of laihunite (Fe0.8Fe0.8SiO4) Mineralogical Journal (Japan) (1983), 11, 382391, American Mineralogist (1986), 71, 14551460

Pbcn ()

Frevel, L.K.,The crystal structure of sodium sulfate III, Journal of Chemical Physics (1940), 8, 290-290 Wallez, G.;Jaulmes, S.;Elfakir, A.;Souron, J.P.;Quarton, M. beta-Tl2SO4, Acta Crystallographica (2004), 60, 107-109 Rasmussen, S.E.;Jorgensen, J.E.;Lundtoft, B. Structures and phase transitions of Na2SO4, Journal of Applied Crystallography, (1996), 29, 42-47 Friese, K.;Goeta, A.E.;Leech, M.A.;Howard, J.A.K.;Madariaga, G.;Perez-Mato,
30


J.M.;Breczewski, T. The low-temperature structure of Tl2SeO4 at 30 K. Journal of Solid State Chemistry, (2004), 177, 1127-1136 Fujino, K.;Sasaki, S.;Takeuchi, Y.;Sadanaga, R. X-ray determination of electron distributions in forsterite, fayalite and tephroite. Acta Crystallographica, (1981), 37, 513-518 Deppisch, B.;Engel, G.Verfeinerung. Der Kristallstruktur von Dicadmium germanat Cd2GeO4. Zeitschrift fuer Kristallographie.(1984), 167, 217-223 I41/a () Y S P P amada, N.;Ono, Y.;Ikeda, T. A. Structural tudy of the Incommensurate-to-Ferroelectric hase Transition in K2SeO4, ,Journal of the hysical Society of Japan, 1992

Mumme, W.G.;Hill, R.J.;Bushnell, G.W.;Segnit, E.R. Rietveld crystal structure refinements, crystal chemistry and calculated powder diffraction data for the polymorphs of dicalcium silicate and related phases. Neues Jahrbuch fuer Mineralogie. Abhandlungen (1995), 169(1), 35-68 Lottermoser, W.;Steiner, K.;Grodzicki, M.;Jiang, K.;Scharfetter, G.;Bats, J.W.;Redhammer, G.;Treutmann, W.;Hosoya, S.;Amthauer, G. The electric field gradient in synthetic fayalite alpha-(Fe2SiO4) at moderate temperatures. Physics and Chemistry of Minerals (Germany) (2002), 29, 112-121 Pbnm (). Catti, M.;Gazzoni, G.;Ivaldi, G.;Zanini, G. The beta alpha' Phase Transition of Sr2SiO4. I. Order-Disorder in the Structure of the alpha' Form at 383 K, Acta Crystallographica (1983), 39, 674-679 Grosse, H.P.;Tillmanns, E. Bariumorthosilicate, Ba2SiO4, Crystal Structure Communications, (1974), 3, 599-601
31


Ojima, K.;Nishihata, Y.;Sawada, A. Structure of potassium sulfate at temperatures from 296 K down to 15 K. Acta Crystallographica (1995), 51, 287-293 Lager, G.A.;Meagher, E.P.High-temperature structural study of six olivines. American Mineralogist, (1978), 63, 365-377 Hushur, A.;Manghnani, M.H.;Smyth, J.R.;Nestola, F.;Frost, D. Crystal chemistry of hydrous forsterite and its vibrational properties up to 41 GPa. Mineralogist, (2009), 94, 751-7 Miyake, M.;Nakamura, H.;Kojima, H.;Marumo, F Cation ordering in Co-Mg olivine solid-solution series. American Mineralogist, (1987), 72, 594-598 R3- () Tanaka, K.;Naruse, H.;Morikawa, H.;Marumo, F. Phase-transition process of Na2SO4(III) to Na2SO4(I) and anharmonic thermal vibration Acta Crystallographica (1991), 47, 581-588 Gonzalez-Silgo, C.;Solans, X.;Ruiz Perez, C.;Martinez-Sarrion, M.L.;Mestres, L. Study on K2SeO4 at different temperatures, Ferroelectrics (1996), 177, 191-199 Friese, K.;Goeta, A.E.;Leech, M.A.;Howard, J.A.K.;Madariaga, G.;Perez- Mato, J.M.;Breczewski, T. The low-temperature structure of Tl2SeO4 at 30 K, Journal of Solid State Chemistry (2004), 177, 1127-1136 Redhammer, G.J.;Roth, G.;Amthauer, G.;Lottermoser, W. Crystal chemistry of olivine-type germanate compounds, Ca(1+x) M(1-x)GeO4 (M(2+) = Ca, Mg, Co, Mn). Acta Crystallographica,(2008), 64(3), 261-271 4. MgSiO
3

32


4.2. MgSiO

3

. GULP, , . , (.2, 3 ), . O, 7%, 1% 2% . 5. Mg-O O-O Si-O 1848.7174 652.5051 2157.243 0.29 0.09 0.2410 0 10.8 0. , , å C, *å

5. , . 300 0. (.6,7,8,9,10,11).


a,å
18.227 18.146

b,å
8.819 8.727

c,å
5.179 5.262

, °
90 90

V,3-1
31.33 31.36

Matsui and Price 1992

18.880

8.506

5.220

90

31.39

6. MgSiO 3 Pbca
33




a,å
9.605 9.600

b,å
8.813 8.672

c,å
5.166 5.244

, °
108.5 108.6

V,3-1
31.22 31.14

Matsui and Price 1992

9.607

8.723

5.254

108.5

31.20

7. MgSiO 3 P21/c


a,å
9.306 9.378

b,å 8.892 8.820

c,å 5.349 5.458

, ° 90 90

V,3-1 33.32 33.98

Matsui and Price 1992

9.356

8.875

5.456

90

33.64

8. MgSiO 3 Pbcn


a,å
11.501 11.516

b,å 11.501 11.516

c,å 11.480 11.523

, ° 90 90

V,3-1 28.58 28.76

Matsui and Price 1992

11.514

11.514

11.520

90

28.74

9. MgSiO3 I41/a
34




a,å
4.728 4.740

b,å
4.728 4.740

c,å
13.56 13.33

, °
120 120

V,3-1
26.35 26.03

Matsui and Price 1992

4.737

4.737

13.48

120

26.26

10. MgSiO 3 R3

a,å
4.775 4.772

b,å 4.929 4.925

c,å 6.897 6.942

, ° 90 90

V,3-1 24.44 24.56

Matsui and Price 1992

4.781

4.932

6.923

90

24.49

11. MgSiO 3 Pbnm , , 2%. : . Matsui Price , . , ,

. GULP.

35


:
3



MgSiO

, - . Topos GULP. TOPOS MgSiO3 . GULP , Matsui Price. , CaSiO3-MgSiO
3

36



1. u .. , .. // . 2006. . 51, NQ 5. . 819-829. 2. u .. // .. 2002. . 172,'NQ 4. . 480-485. 3. u .. // . . . 4, . 2004. NQ 2. . 3- 10. 4. u .. . .: , 1986. 160 . 5. u .. , u .. / /. 1999. 1. . 3-14. 6. u .. , u .. //Geos. 2010 7. .., .. // . 1961. 10. . 837-839. 8. . ., . . . . 2004. C. 4. . N. 5. . 37-44.

9. Badro J., Fiquet G., Guyot F., Rueff J.-P. Iron partitioning in the Earth's mantle: Toward deep lower mantle discontinuity / / Science. 2003. V. 300, 5620. . 789-791. 10. Badro J., Rueff J.P., Vanko G., n G., Fiquet G., Guyot F. Electronic transitions in perovskite: Possible nonconvecting layers in the lower mantle // Science. 2004. V. 305, 5682. . 383-386. 11. Catti, M.;Gazzoni, G.;Ivaldi, G.;Zanini, G. The beta alpha' Phase Transition of Sr2SiO4. I. Order-Disorder in the Structure of the alpha' Form at 383 K, Acta Crystallographica (1983), 39, 674-679 12. Catti, M.;Gazzoni, G.;Ivaldi, G. Structures of twinned Sr2SiO4-beta and of Sr alpha, Acta Crystallographica , (1983), 39, 29-34 13. Creer, J.G.;Troup, G.F.J.The Crystal and Magnetic Structures of Mn2GeO4, Solid State Communications (1970), 8, 1183-1188
37
1.9

Ba0.1SiO4-


14. Deppisch, B.;Engel, G.Verfeinerung. Der Kristallstruktur von Dicadmium germanat Cd2GeO4. Zeitschrift fuer Kristallographie.(1984), 167, 217-223 15. Dubrovinsky L.S., Saxena S.K., Lazor ., Ahuja R., Eriksson O., Wills J.M., Johansson . Experimental and theoretical identification of new high-pressure phase of silica // Nature. 1997. V. 388. . 362-365. 16. Fiquet G. Mineral phases of the Earth's mantle // Z. ristallogr. 2001. Bd. 216. S. 248271. 17. Frevel, L.K. The crystal structure of sodium sulfate III, Journal of Chemical Physics, 1940, 8, 290-290 18. Frevel, L.K.,The crystal structure of sodium sulfate III, Journal of Chemical Physics (1940), 8, 290-290 19. Friese, K.;Goeta, A.E.;Leech, M.A.;Howard, J.A.K.;Madariaga, G.;Perez-Mato, J.M.;Breczewski, T. The low-temperature structure of Tl2SeO4 at 30 K. Journal of Solid State Chemistry, (2004), 177, 1127-1136 20. Frost D.J., Lebske ., Langenhorst F., mmon .., Tronnes R.G., Rubie D.C. Experimental evidence for the existence of iron-rich metal in the Earth's lower mantle // Nature. 2004. V. 428. . 409-412. 21. Funamori N., Jeanloz R., Nguyen J.H., Kavner ., Caldwell W.A., Fujino K., Miyajima N., Shinmei ., Tomioka N. High-pressure transformations in MgAI 2O4// J. Geophys. Res. 1998. V. 103. . 20813-20818. 22. Gonzalez-Silgo, C.;Solans, X.;Ruiz Perez, C.;Martinez-Sarrion, M.L.;Mestres, L. Study on K2SeO4 at different temperatures, Ferroelectrics (1996), 177, 191-199 23. Grosse, H.P.;Tillmanns, E. Bariumorthosilicate, Ba2SiO4, Crystal Structure Communications, (1974), 3, 599-601 24. Ojima, K.;Nishihata, Y.;Sawada, A. Structure of potassium sulfate at temperatures from 296 K down to 15 K. Acta Crystallographica (1995), 51, 287-293 25. Hemley R.J., H.-K. (d.). UItrahigh-Pressur Mineralogy // Rev. Miner. 1998. V. 37. 671 . 26. Idemoto, Y.;Ricardson, J.W.jr.;Koura, N.;Kohara, S.;Loong, C. Crystal structure of (Lix K1
-x)2

(CO3) (x= 0, 0.43, 0.5, 0.62, 1) by neutron powder diffraction analysis. Journal of

Physics and Chemistry of Solids (1998), 59, 363-376
38


27. Kingma K.J., Cohen R.E., Hemley R.J., Mao H-K. Transformation of stishoviite to denser phase at lower-mantle pressure // Nature. 1995. V. 374.P. 243-245. 28. Knittle ., Jeanloz R. High-pressure metallization of F and implications for the Earth's core // Geophys. Res. Lett. 1986. V. 13. . 1541-1544. 29. Kuwama Y., Hirose K., Sata N., Ohishi Y. he pyrite-type high-pressure form of silica // Science. 2005. V. 309. . 923-925. 30. Krishnamachari, N.;Calvo, C. Crystallographic studies of cobalt arsenate. III. Crystal structure of Co6
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As3.62 O16.Canadian Journal of Chemistry, (1973), 51, 46-50

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