Structure, Dynamics, and Properties of Silicate Melts

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Page 1 Titles REVIEWS in MINERALOGY Volume 32 EDITORS: Mineralogical Society of America Page 1 Titles MINERALOGICAL SOCIETY OF AMERICA REVIEWS IN MINERALOGY Volume 32 Structure, Dynamics and Properties Page 1 Titles STRUCTURE, DYNAMICS AND PROPERTIES OF SILICATE MELTS FOREWORD EDITORS' PREFACE iii Page 2 Titles iv Page 3 Titles v Page 4 Tables Table 1 Page 1 Titles STRUCTURE, DYNAMICS AND PROPERTIES vii Page 2 Titles viii Page 3 Titles ix Page 4 Titles x Page 5 Titles xi Page 6 Titles xii Page 7 Titles xiii Page 8 Titles xiv Page 9 Titles xv Page 10 Page 1 Titles Chapter 1 STRUCTURAL RELAXATION AND THE GLASS TRANSITION Cornelius T. Moynihan Page 2 Titles 2 Page 3 Titles 3 Page 4 Titles 4 time - - - o _____,.. T Structural Relaxation in Liquids (2) _ H - He _ Tf - T2 _ t Ho - He T, - T2 T (4) Page 5 Titles 5 , 6TL __ a b Page 6 Titles 6 Page 7 Titles 7 a P Tables Table 1 Page 8 Titles 8 t (5) Page 9 Titles 9 0.5 720 Page 10 Titles 10 Page 11 Titles 11 x6H* (1 - x)6H* 'I = Toexp[ RT + RTf 1 (8; B 'I = TO exp[",,.., /", ,l (9) ¢(t) = 'L:9iexP[-l dt'hl (11) , x6H* (1 - x)6H* Page 12 Titles 12 ¢(t) = exp[-([ dt'/T)f3) (14) ¢(t) = p(t) - Pe = Tf(t) - T2 (l5) Po - Pe Tl - T2 Tf(t) = To + L 6Tj[1 - ¢(t, tj)) ¢(t, tj) = exp[-(!ot-tj d(t' - tj)/T),B] Page 13 Titles 13 Tables Table 1 Page 14 Titles 14 Tables Table 1 Page 15 Titles 15 Tables Table 1 Page 16 Titles 16 TglT (22) B7] 1 [B7] 1 'i) = 'i)oexp[TSc(T) = 'i)oexp T!:::.Cpln(TjTK) Tables Table 1 Page 17 Titles 17 60 1; 50 ~ "Q. 40 10 20 30 Na201 mol% 40 1~ ~ 0-;' Jf 50 Page 18 Titles 18 Moynihan: Structural Relaxation and the Glass Transition REFERENCES Page 19 Titles Moynihan: Structural Relaxation and the Glass Transition 19 Page 20 Page 1 Titles Chapter 2 SOME APPLICATIONS D. B. Dingwell Page 2 Titles 22 P dP Page 3 Titles 23 "\ Page 4 Titles 24 Page 5 Titles 25 T = n/G Page 6 Titles 26 Dingwell: Relaxation in Silicate Melts: Applications f ~ s-c ~~ IJ ~ g. o Tables Table 1 Page 7 Titles 27 ;; Page 8 Titles 28 M = K + (4/3)0 Page 9 Titles 29 o c -_ Tables Table 1 Page 10 Titles 30 o o .... • • Tables Table 1 Page 11 Titles 31 Page 12 Titles 32 Dingwell: Relaxation in Silicate Melts: Applications ::: 1 MAl r;6,~~.. __ _ i, "" -f- - - - - - --- - - - - - - KEO AGPAITIC INDEX Tables Table 1 Page 13 Titles 33 Page 14 Titles 34 Tables Table 1 Table 2 Table 3 Page 15 Titles 35 '. .. . " -: ..... ..... .. ~ ) Page 16 Titles 36 Page 17 Titles 37 (6) Page 18 Titles TEMPERA TURE Tables Table 1 Page 19 Titles 39 H Page 20 Titles 40 Dingwell: Relaxation in Silicate Melts: Applications a m m ill ~ ill m ~ ~ " b c (\f \ TEMPERATURE caC) Page 21 Titles 41 ] 6 15 14 12 -6 , u bD Tables Table 1 Page 22 Titles 42 Page 23 Titles Dingwell: Relaxation in Silicate Melts: Applications • 43 -S o > o ::2' TEMPERATURE (C) Tables Table 1 Page 24 Titles 44 Tables Table 1 Page 25 Titles 45 Tables Table 1 Page 26 Titles MOLAR VOLUME OF THE MELTS Dingwell: Relaxation in Silicate Melts: Applications mol% Tables Table 1 Page 27 Titles 47 Page 28 Titles 48 '" .. .•.. -. .... '" Tables Table 1 Page 29 Titles 49 • • ~ .. .. Page 30 Titles 50 Page 31 Titles 51 Page 32 Titles 52 1 Page 33 Titles 53 ~ Page 34 Titles 54 Page 35 Titles 55 a Tables Table 1 Page 36 Tables Table 1 Table 2 Page 37 Titles 57 o ::z:: , ::z:: __ of T----~----~----~ Page 38 Titles 58 Dingwell: Relaxation in Silicate Melts: Applications 10 Tables Table 1 Table 2 Table 3 Page 39 Titles 59 Page 40 Titles 60 Page 41 Titles 61 o calcalkaline t 10,OOO/T(K) Tables Table 1 Page 42 Titles 62 Page 43 Titles Dingwell: Relaxation in Silicate Melts: Applications 63 REFERENCES Page 44 Titles 64 Dingwell: Relaxation in Silicate Melts: Applications Page 45 Titles Dingwell: Relaxation in Silicate Melts: Applications 65 Page 46 Titles 66 Dingwell: Relaxation in Silicate Melts: Applications Page 1 Titles Chapter 3 RHEOLOGY AND CONFIGURATIONAL ENTROPY P. Richet and Y. Bottinga o eo - ~ ..... o ~ .... ... 9 Page 2 Titles 68 Page 3 Titles 69 Page 4 Titles do/dr = G~ ds/dr . daldt = G~ ds/dr - air, (8) Page 5 Titles 71 ... ~ ... ~ .. TJ = G~ 't'. K = K~ - K; (12) TJv = Kr't'v 't'p = 1:vK.JK. (14) Page 6 Titles 72 (J' = TJel deelfdt , (15) (J' = E eel, TJel = 3 TJ . (19) Page 7 Titles 73 1500 3Rfg atom 1200 900 ~~ I' id y _... IqUI a 600 '. ... ~~ , t glass 50~~~~~~~~~~~~~ 300 90 60 c.. 70 g- o 80 ~ T (K) Page 8 Titles 74 Tables Table 1 Page 9 Titles 75 T (K) sconr Tables Table 1 Page 10 Titles 76 sconf(T) = sconf(Tg) + J C~Onf I TdT. weT) = A exp (-BeiTsconf) , (25) Tables Table 1 Page 11 Titles Temperature dependence of the viscosity Tables Table 1 Page 12 Titles 78 Richet & Bottinga: Rheology and Configurational Entropy so ~ ~ 40 Page 13 Titles 79 Tables Table 1 Page 14 Titles 80 ~ Page 15 Titles 81 Tables Table 1 Page 16 Titles 82 Page 17 Titles 83 " .. Page 18 Titles 84 Page 19 Titles 85 = kB T (aVlaT)p (38) = kB T [(av/aT)p - (av/aT)p] . (39) Tables Table 1 Page 20 Titles 86 Page 21 Titles 87 Page 22 Titles 88 '" .:: Page 23 Titles ACKNOWLEDGMENTS REFERENCES Page 24 Titles 90 Richet & Bottinga: Rheology and Configurational Entropy Page 25 Titles Richet & Bottinga: Rheology and Configurational Entropy 91 Page 26 Titles 92 Richet & Bottinga: Rheology and Configurational Entropy Page 27 Titles Richet & Bottinga: Rheology and Configurational Entropy 9~ Page 28 Page 1 Titles Chapter 4 Sharon L. Webb and Donald B. Dingwell Page 2 Titles 96 - - ~! ~ - r- - - - - TIME (2) Page 3 Titles 97 >-­ :; log, TIME Page 4 Titles 98 Webb & Dingwell: Viscoelasticity (5) , , >­ 1+ 'ts 1+ 'ts Page 5 Titles 99 K * (00) = K= - Ko + Ko 2 2 + lKo ----:::;- 2 (9) I . 00 'is I (oo'tv K= - KO) Page 6 Titles 100 ~ a > , o :J ~ ,/\ 3: Page 7 Titles 101 Tables Table 1 Page 8 Titles 102 Page 9 Titles 103 Page 10 Titles 104 Page 11 Titles 105 - Tables Table 1 Table 2 Page 12 Tables Table 1 Page 13 Titles 107 -.- - .. - loglo 7:1\ Tables Table 1 Page 14 Titles 108 Page 15 Titles 109 M(oo) = p v~ (00). Tables Table 1 Page 16 Titles 110 Webb & Dingwell: Viscoelasticity 2 G'((1) Tables Table 1 Table 2 Page 17 Titles 111 Page 18 Titles 112 Page 19 Titles 113 10 >-­ :; o iovz-c Tables Table 1 Page 20 Titles 114 V = IX v: + I X X v: K = ~=- v· ap . 1 [ n .... -V· n av 1 (20) Page 21 Titles 115 Tables Table 1 Table 2 Page 22 Titles 116 Page 23 Titles Webb & Dingwell: Viscoelasticity 117 melts is an essential component of progress in understanding viscous deformation in REFERENCES Page 24 Titles 118 Webb & Dingwell: Viscoelasticity Page 25 Titles 119 APPENDIX Mechanical relaxation time Electrical relaxation time 't =~~------------~~--~~-------------- (AI) (A2) Thermal relaxation time 'tt =-= (A3) Page 26 Page 1 Titles Chapter 5 ENERGETICS OF SILICATE MELTS Alexandra Navrotsky Page 2 Titles 122 Page 3 Titles 123 Page 4 Titles 124 Navrotsky: Energetics of Silicate Melts FACTORS AFFECTING MELT ENERGETICS Major acid-base interactions and polymerization equilibria (1) (2) b o a Tables Table 1 Table 2 Page 5 Titles 125 Tables Table 1 Page 6 Titles 126 Tables Table 1 Page 7 Titles 127 Page 8 Titles [ e :t Tables Table 1 Page 9 Titles 129 Page 10 Titles 130 Navrotsky: Energetics of Silicate Melts -48b -og Tables Table 1 Table 2 Page 11 Titles 131 Tables Table 1 Page 12 Titles Navrotsky: Energetics of Silicate Melts Temperature (K) Tables Table 1 Page 13 Titles 133 Tables Table 1 Page 14 Titles 134 Page 15 Titles '" 135 Page 16 Tables Table 1 Table 2 Page 17 Titles 137 Tables Table 1 Page 18 Page 19 Titles 139 • • • • •• 11\ Tables Table 1 Page 20 Titles 140 Navrotsky: Energetics of Silicate Melts REFERENCES Page 21 Titles Navrotsky: Energetics of Silicate Melts 141 Page 22 Titles 142 Navrotsky: Energetics of Silicate Melts Page 23 Titles Navrotsky: Energetics of Silicate Melts 143 Page 24 Page 1 Titles Paul C. Hess Page 2 Page 3 Page 4 Tables Table 1 Page 5 Titles 149 Page 6 Titles 150 ... ·::::z ..» 0