首先聲明: 純屬閑得無聊，獨樂樂不如眾樂樂。 BEAR & BILLINMON 別砸我 這兩天沒事在家煉長生不老的丹藥. 時代不同了，現在是科技煉丹，還得看相圖。 很久以前學過兩天相變&相圖。今天重讀，理解卻不一樣了。看來學業是荒廢了。 just found out that the two-phase phase transformation is similar to relationship 看圖說話 EFFORT: the effort/energy either side put to keep the relation Emin: minimum effort required to win the love of the opposite side if both side put equal effort and likes each other. (追到手，開始”熱“戀) Em: minimum effort required for male to move the female and eventually win the love of the female. phase transforms from 單戀 to LOVE Ef: minimum effort required for female to move the male and eventually win the love of the male. phase transforms from 單戀 to LOVE KEY POINTS - in general Em/Ef is much higher than Emin which means that love needs contributions from both sides. - make sure to find the critical point SF_optimal (彼此的感覺 level) so that less effort is required to be in (mutual) love. normlly SF is less than or equal to 0.5 (接近對稱的感情) - Em (Ef as well) in general is close to infinite. (單相思是徒勞的) Case studies (let's take a few typical examples in 美女壇) CASE1 - M=熊大師;； F=Eagle - EFFORT: 情詩 - at the begging, it's more look like a uni-directal love (SF is aound SF1). those love sonnets (&兒歌) are too hot for Eagle & Eagle is touched/moved (SF move towards to SF_optimal) - END-phase: LOVE - what we learn from Bear's case: - more effort at the bigging might change the love course to be more favorable - be talented & smart CASE2 - M=Billinmon/不學王明； F=Lilac09/小千 - EFFORT: ZT - SF=0. Lilac09/小千were happy while they don't want Billinmon know - End-phase: still 單相思 - lesson for Billinmon: read the love phase diagram more; post some E-文 readings so that your idols know little bit more about you (we all know & agree U R niu-ren); better not use extremely approach such as "有賢惠，善良女子愛我不?"; learn from 熊大師 & change your approach which is too WILD (may be ok if you are 靖哥哥 & your 蓉兒 likes it) -------------------------------------------------------------------------- ZT (as reference,technical illustration of the eutectic phase diagram) Eutectic diagram with partial solubility of the components in solid state This kind of phase diagram is a “hybrid” of the diagram with complete solid and liquid solution and the eutectic diagram (the metals are completely soluble in liquid state and entirely insoluble in solid state). Consider solidification of an alloy with concentration C. When the alloy temperature is higher than TL, single liquid phase exists (point M on the diagram). When the temperature reaches the value TL (point M1 on the liquidus curve) solidification starts. According to solidus curve the first solid crystals (primary crystals) of the α-phase have composition C1. Further cooling of the alloy causes changing of the liquid phase composition according to the liquidus curve and when the alloy temperature reaches a certain intermediate value T (position MT ), liquid phase of composition Cy and solid α-phase of composition Cx are in equilibrium. At the temperature equal to TE (eutectic temperature) formation of the primary crystals stops and the remainding liquid phase , having composition CE (eutectic composition), transforms to a finely devided mixture of small solid crystals of α-phase and β-phase (eutectic phase transformation). At this temperature all α-phase crystals have composition Cα and all crystals of β-phase have composition Cβ. Relative amounts of the α-phase primary crystals and the eutectic mixture may be calculated by the “lever rule” : WP / WE = M2E / M2N or WP / WE = (CE-C) / (C- Cα) Where: WP – weight of the α-phase primary crystals; WE – weight of the eutectic mixture; Just below the eutectic temperature TE the alloy consists of two solid phase: α-phase and β-phase, relative amounts of whichis determined by the “lever rule” : Wα / Wβ = M2F / M2N or Wα / Wβ = (Cβ-C) / (C- Cα) Where: Wα – weight of the α-phase; Wβ – weight of theβ-phase; During further cooling solid solution phases (α-phase and β-phase) change their compositions according to the solvus curves NN3 and FF3 . Solvus curve determins formation of solid solution phase from another solid solution phase – similar to liquidus curve. At the temperature T3 α-phase crystals have composition Cα and all crystals of β-phase have composition Cβ. Hypo-eutectic alloys If an alloy composition C is lower, than eutectic composition CE , solidification of the alloy starts from formation of the primary crystals of α-phase according to the left branch of the liquidus curve. These alloys are called hypo-eutectic. Hyper-eutectic alloys If an alloy composition C is higher, than eutectic composition CE , solidification of the alloy starts from formation of the primary crystals of β-phase according to the right branch of the liquidus curve. These alloys are called hyper-eutectic. Eutectoid phase transformation is analogous to the eutectic transformation, however it occurs with a solid solution phase, breaking up into a mixture of two finely divided phases of different compositions.
