Calculation of supercooling temperature for primary nucleation of potassium nitrate from aqueous solution by the two-kind active site model

Effect of sample volume on metastable zone width and induction time

“…However, experimental data in the literature are always not the case even when careful attention [3,11] is paid to exclude hetero-nuclei that induce heterogeneous nucleation. Another evidence showing the difficulty in realizing homogeneous nucleation is the filtering effect on nucleation; the value of DT 10 increases (i.e., nucleation becomes more unlikely to occur) by filtering the solution [4,11]. Homogeneous nucleation is never affected by filtration.…”

“…The data for m-aminobenzoic acid and L-histidine solutions reported by Jiang et al [10] may be the case. However, if the number of heteronuclei is reduced by filtration, each small sample cannot include equal number of hetero-nuclei any more [11]. The probability of nucleation per sample per unit time B 1 M is not the same for all the samples and the plot of ln P r vs. t is curved [3,11].…”

Secondary nucleation-mediated effects of stirrer speed and growth rate on induction time for unseeded solution

“…At the lowest secondary nucleation rate with a kinetic constant of k b2 = 1 6 10 4 s 21 kg solvent 21 uC 2b2 , the simulated induction time is nearly the same as that calculated by eqn (14) (dotted line). Eqn (14) is obtained from eqn (12) for a constant temperature T with the assumption of no secondary nucleation and no concentration change (i.e., T sat is equal to the initial saturation temperature T 0 ). Setting (N/M) primary = (N/M) det and rearranging leads to the following equation (see also Kubota 18 ).…”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] It is usually defined as the time elapsed from supersaturation creation to ''new phase detection'' under isothermal conditions. The term ''new phase detection'' has been interpreted in different ways 3 depending on the researcher.…”

Modeling adsorption and order formation by colloidal particles on a solid surface: A Brownian dynamics study

“…Setting c dt as the probability for a non-ordered system before the last adsorption to get ordered within time interval between t and t + dt, the integration with respect to time gives the probability P (t) for the system not to get ordered from t = 0 to t = t to be as given by Kubota and Kawakami (1986) for nucleation phenomenon:…”