By Frenkel D.
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The pioneering paintings of Edwin T. Jaynes within the box of statistical physics, quantum optics, and likelihood concept has had an important and lasting impression at the learn of many actual difficulties, starting from primary theoretical questions via to functional functions equivalent to optical snapshot recovery.
The purpose of this sequence is to aid the reader receive basic information regarding a wide selection of issues within the large box of chemical physics. specialists current analyses of matters of curiosity to stimulate new learn and inspire the expression of person issues of view.
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N ) . 3 Enthalpy of Mixing and the Activity Coefficient, ~ 45 Thus, the total Gibbs energy of ideal mixing becomes G t~ = n~, x i G ~ ~ X i l n X i = a m e c h m i x + A G idealmix, i=l (14b) i=I where G~~ is the Gibbs energy of the mineral end-member i in its given standard state, hence being identical to the standard state chemical potential of i, /-tl~ (cf. Appendix 2). The first sum in eq. 14b is the energy contribution that is due to purely mechanical mixing (cf. sect. 2) between the end-members and is referred to as the mechanical Gibbs energy of mixing, Gn'ch''~ .
X gr WE lb: Calculate the ideal mixing activities of the biotite end-members phlogopite ( KMg(Mg2)Si 2 (SiAI)O,, (OH)2), annite ( K Fe(Fe2)Si 2(SiAl)O,,, (OH)2), eastonite ( K Mg(Mg al)Si~_ (alz)Qo (OH)2), siderophyllite K Fe( Feal) Si2 (Al)z O,, (OH)~. and Na-phlogopite ( NaMg(Mg2)Si 2(SiAt)O~o (OH)2) from the given biotite analysis. oxide. . . . 37 Many iron-bearing minerals contain ferrous (Fe 2§ and ferric (Fe 3+) iron. Unfortunately, microprobe analyses can not distinguish between the two oxidation states, and the total iron content of a mineral is estimated as ferrous iron.
Biotite has two different octahedral sites, M1 and M2, which occur in the ratio 2:1, with the s m a l l e r M1 site being preferentially occupied by three- and 30 2 Thermodynamics of Solid Solutions fourvalent cations. 17. 075. The remaining space on M1 are Xve~. on M1, X~p,~ Ml = 1 - ( X ~ l + xMIF:" + XrM~) = 0 . 414. 396. The two M1 sites are now completely occupied. The commonly made assumption that the Fe2+-Mg distribution between discrete structural sites is identical, ie. x z -" g-'biotite (eg.