gambhir trijya

nirnayak trijya haah kiman kann aakar aahe jyatoon eka samuchchay ushmagatikiyadrushtya sthir aahe. aahe shabdant, naveen tappyatil samavesh (eka budbuda, eka themb kinwa eka ghan kann) vyavharya honyapurvi aanee vadhanyas suruvat honyapurvi anoo kinwa renu ekatra (vayoo, drav kinwa ghan matrixmadhye) ektrit houn tayar jhaleli hii sarvat qamee trijya aahe. asha sthir kendrakanchya nirmitila kendrak mhanatat.
nucleation prakriyechya suruvatila, pranali swatahla prarambhik tappyat shodhate. tyanantar, naveen tappyatoon ektrit kinwa samoohanchi nirmiti haloohaloo aanee yadruchchikpane nanoscalver hote. tyanantar, jarr prakriya vyavharya asel tarr kendrak tayar hoto. vishisht paristhitinmadhye ektritanchi nirmiti kalpana karnyayogya aahe heey lakshat ghya. jevha yaa atty purn hott naheet, tevha ektritanchi jalad nirmiti-nirmulan hote aanee nucleation aanee postariyar chrystal vaadh prakriya hott nahee.
parjanyaman modelmadhye, nucleation hii samanyatah sphatik vadhichya prakriyechya modelschee prastavna asate. kadhikadhi parjanyaman heey nucleation prakriyedvare darr-maryadit asate. eka udaharan asey asel qee jevha konee microvevmadhun eka cup atiushna paanee ghete aanee teey chamchyane kinwa kapchya bhintivar halavate tevha vijatiy nucleation hote aanee bahutek panyache kann vafemadhye rupantarit hotat.
jarr tappyatil badal dravarup matrixmadhye sfatikeey ghan tayar karat asel, tarr anoo nantar dendrite tayar karoo shakatat. sphatikanchi vaadh teen parimananmadhye suru rahate, anoo vishisht pasantichya dishene swatahla jodatat, sahasa sfatikanchya akshanvar, dendritechi vaishishtyapurn vrukshasarkhi rachana tayar karatat.
ganiteey vyutpatti.
pranalichi nirnayak trijya tyachya gibbs mukt urjevarun nirdharit kelee jaau shakate.
sootra _ 1
tyache done ghatak aahet, khand urja sootra _ 2 aanee prushthbhag urja sootra _ 3. pahila tappa badalanyachi shakyata kitee aahe yache varnan karato aanee dusra mhanje interfaces tayar karnyasathi aavashyak asalelya urjeche praman. 
golakar kanancha vichar karoon sootra _ 2 chee ganiteey abhivyakti khalilpramane dilee jaateh
sootra _ 5
jethe sootra _ 6 hii prati ghanfal gibbs mukt urja aahe aanee sootra _ 7 chey palan karate. tyachi vyakhya vishisht tapmanavaril eka pranali aanee sanlayan tapmanavaril samaan pranalimadhil urja farak mhanoon kelee jaate aanee teey daab, kananchi sankhya aanee tapmanavar avalambun asateh sootra _ 8. qamee tapmanasathi, sanlayan bindupasoon door, hii urja mothee asate (tappa badalane adhik katheen asate) aanee sanlayan binduchya jawal asalelya tapmanasathi tee lahan asate (pranali tyacha tappa badalanyacha cull asel). 
sootra _ 3 chya sandarbhat aanee golakar kanancha vichar karata, tyachi ganiteey abhivyakti khalilpramane dilee aaheh
sootra _ 10 
jethe sootra _ 11 heey prushthbhagavaril taana aahe jeey aaplyala kendrak tayar karnyasathi todane aavashyak aahe. sootra _ 12 chey moolya kadhihi nakaratmak nasate kaaran interfaces tayar karnyasathi nehmich urja lagate. 
tyamule ekoon gibbs mukt urja ashee aaheh
sootra _ 13
critical trijya sootra _ 14 heey optimizationdware aadhalate, sootra _ 15 chey vyutpann shoonyachya barobarine seet karate.
sootra _ 16
utpann
sootra _ 17,
jethe sootra _ 11 heey prushthbhagavaril taana aahe aanee sootra _ 19 heey prati khand gibbs mukt urjeche paripoorn moolya aahe. 
anoo nirmitichi gibbs mukt urja samanya sutratil nirnayak trijya abhivyaktichi jaaga ghet asalyache aadhalate.
sootra _ 20
arth lavane.
jevha gibbs mukt urja badal sakaratmak asel, tevha nucleation prakriya samruddha honar nahee. nanoe kananchi trijya lahan aahe, prushthbhagachi sandnya aakarmanachya _ 21 yaa sutravar varchasva gajavate. ulatpakshi, jarr bhinnatecha darr nakaratmak asel tarr too ushmagatikiyadrushtya sthir asel. gulacha aakar nirnayak trijyepeksha jaast asato. yaa prasangi, khand sandnya varvarchya sandnya sutravar maat karate.
critical trijyechya abhivyaktivarun, jibschi volume urja jasjashi vadhel tastashi critical trijya qamee hoil aanee tyamule, kendrakanchi nirmiti sadhya karane aanee sfatikikaran prakriya suru karane sope hoil.
gambhir trijya qamee karnyachya paddhati.
super cooling.
nirnayak trijya sootra _ 23 chey moolya qamee karnyasathi aanee nucleationla protsahan denyasathi, supercooling kinwa superheating prakriya vaparali jaau shakate.
supercooling hii eka ashee ghatana aahe jyamadhye naveen tappa tayar naan karata tappyachya sankraman tapmanakhali pranaliche tapman qamee kele jaate. sootra _ 24 haah tapmanatil farak asoo dya, jethe sootra _ 25 heey tappyache sankraman tapman aahe. sootra _ 26 heey anukrame volume gibbs mukt urja, enthalpy aanee entropy asoo dya. 
jevha sootra _ 27 asate, tevha pranalimadhye null gibbs mukt urja asate, mhanoonah
sootra _ 28 
sarvasadharanpane, khaleel andaj kele jaau shakatatah 
sootra _ 29 aanee sootra _ 30
parinamih
sootra _ 31 
tyamuleh 
sootra _ 32
sootra _ 23 aanee sootra _ 34 chya abhivyaktivar haah parinam badaloon, khaleel samikarane prapt kelee jaatatah
sootra _ 35 
sootra _ 36
lakshat ghya qee sootra _ 23 aanee sootra _ 34 vadhatya supercoolings qamee hotat. tyachpramane, atiushnatesathi ganiteey vyutpatti kelee jaau shakate.
atiprasang.
atishoshan hii eka ashee ghatana aahe jithe dravkache sandrata santulan sandratechya mulyapeksha jaast asate.
rasayanik sambhavya sootra 39 chya vyakhyenusar, jethe sootra 40 haah boltzmann sthirank aahe, sootra 41 heey dravanachi ekagrata aahe aanee sootra 42 heey samtol ekagrata aahe. stoikiometric sanyugasathi aanee sootra _ 43 aanee sootra _ 44 vicharat ghetalyas, jethe sootra _ 45 heey anooche praman aaheh
sootra _ 46
superseturation vyakhya sootra _ 47 mhanoon kelee tarr heey asey punha lihile jaau shakate
sootra _ 48
shevati, nirnayak trijya sootra _ 14 aanee anoo nirmiti sootra _ 50 chee gibbs mukt urja asha prakare prapt kelee jaau shakate
sootra _ 51,
sootra _ 52
jethe sootra _ 53 heey daadh aakarman aahe aanee sootra _ 54 haah daadh vayoo sthirank aahe.

