Kinetics of crystallite size evolution by ball milling
Abstract
One of the distinguishing features of mechanochemical treatment is crystallite size reduction. The crystallite size of the powder subjected to milling decreases to some minimal value characteristic for the given material. Two processes occur concurrently during milling: reduction of the crystallite size and grain growth, whereby the steady-state crystallite size is attained when the rates of these processes are in equilibrium. This study deals with the kinetics of crystallite size evolution by milling. Published experimental data were analyzed using three kinetic models: dr/dt=-k1r2 + k2r-1; dr/dt=-k1r3 + k2r and dr/dt=-nktn-1(r - rs), where r and rs are the crystallite radius and steady-state crystallite radius respectively, t time, k1 and k2 the rate constants of crystallite reduction and grain growth, respectively, k the rate constant and n the Avrami exponent. The applied kinetic relations describe the crystallite size dependence on milling time in a satisfactory manner.
Keywords:
mechanochemical treatment / ball milling / crystallite size / solid-state reactions / mehanohemijski tretmanSource:
Hemijska industrija, 2002, 56, 9, 355-360Publisher:
- Belgrade : Association of the Chemical Engineers of Serbia
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - JOUR AU - Zdujić, Miodrag PY - 2002 UR - https://dais.sanu.ac.rs/123456789/173 AB - One of the distinguishing features of mechanochemical treatment is crystallite size reduction. The crystallite size of the powder subjected to milling decreases to some minimal value characteristic for the given material. Two processes occur concurrently during milling: reduction of the crystallite size and grain growth, whereby the steady-state crystallite size is attained when the rates of these processes are in equilibrium. This study deals with the kinetics of crystallite size evolution by milling. Published experimental data were analyzed using three kinetic models: dr/dt=-k1r2 + k2r-1; dr/dt=-k1r3 + k2r and dr/dt=-nktn-1(r - rs), where r and rs are the crystallite radius and steady-state crystallite radius respectively, t time, k1 and k2 the rate constants of crystallite reduction and grain growth, respectively, k the rate constant and n the Avrami exponent. The applied kinetic relations describe the crystallite size dependence on milling time in a satisfactory manner. PB - Belgrade : Association of the Chemical Engineers of Serbia T2 - Hemijska industrija T1 - Kinetics of crystallite size evolution by ball milling SP - 355 EP - 360 VL - 56 IS - 9 DO - 10.2298/HEMIND0209355Z UR - https://hdl.handle.net/21.15107/rcub_dais_173 ER -
@article{ author = "Zdujić, Miodrag", year = "2002", abstract = "One of the distinguishing features of mechanochemical treatment is crystallite size reduction. The crystallite size of the powder subjected to milling decreases to some minimal value characteristic for the given material. Two processes occur concurrently during milling: reduction of the crystallite size and grain growth, whereby the steady-state crystallite size is attained when the rates of these processes are in equilibrium. This study deals with the kinetics of crystallite size evolution by milling. Published experimental data were analyzed using three kinetic models: dr/dt=-k1r2 + k2r-1; dr/dt=-k1r3 + k2r and dr/dt=-nktn-1(r - rs), where r and rs are the crystallite radius and steady-state crystallite radius respectively, t time, k1 and k2 the rate constants of crystallite reduction and grain growth, respectively, k the rate constant and n the Avrami exponent. The applied kinetic relations describe the crystallite size dependence on milling time in a satisfactory manner.", publisher = "Belgrade : Association of the Chemical Engineers of Serbia", journal = "Hemijska industrija", title = "Kinetics of crystallite size evolution by ball milling", pages = "355-360", volume = "56", number = "9", doi = "10.2298/HEMIND0209355Z", url = "https://hdl.handle.net/21.15107/rcub_dais_173" }
Zdujić, M.. (2002). Kinetics of crystallite size evolution by ball milling. in Hemijska industrija Belgrade : Association of the Chemical Engineers of Serbia., 56(9), 355-360. https://doi.org/10.2298/HEMIND0209355Z https://hdl.handle.net/21.15107/rcub_dais_173
Zdujić M. Kinetics of crystallite size evolution by ball milling. in Hemijska industrija. 2002;56(9):355-360. doi:10.2298/HEMIND0209355Z https://hdl.handle.net/21.15107/rcub_dais_173 .
Zdujić, Miodrag, "Kinetics of crystallite size evolution by ball milling" in Hemijska industrija, 56, no. 9 (2002):355-360, https://doi.org/10.2298/HEMIND0209355Z ., https://hdl.handle.net/21.15107/rcub_dais_173 .