Lungerich Group tools

Ball Mill Calculator

A general calculation method is presented in https://doi.org/10.1002/anie.202409731 for traversing synthetic protocols derived from mixer or planetary ball mills; finding (1) the point impact energy E_impact of a single collision between the ball and the molecules, and (2) the cumulative energy E_total, which is transferred to the reaction mixture during the whole milling process. Similarly, experimentally relevant parameters such as RPM and time can be determined when the cumulative energy E_total is known.

##Button description##

Clear: Reset calculation parameters.
Calculate: Execute the computation to obtain set outputs.
Add: Append the current parameters and results to a new row within the data table.
Save: Export the data table as an Excel file, including any recent additions.
Remove: Erase all previously added data, opening a new data table.

Type1. Planetary Ball Mills

E_impact and E_total in planetary ball mills can be calculated based on known parameters: Effective diameter of milling disk, diameter of the jar, the height of the jar, the diameter of the ball, the mass of the ball, the total number of balls, RPM, and milling time.

Conditions

Calculate

Machine :
Effective diameter of main disk :
Diameter of jar :
Height of jar :
Diameter of a ball :
Mass of a ball :
Total number of balls :

RPM :

Time :

E_total :

Parameter :

Output

Result =
E_impact =
φ_{filling factor} =

#0 #0

Add #: Number of calculations added to the data table.

Type2. Mixer mills

For “theory to practice”, the commercially available mill is taken to simulate kinematics of a one-dimension mill. E_impact and cumulative energy E_total are calculated based on known parameters: Diameter of the jar, length of the jar, amplitude of the jar, diameter of the ball, mass of the ball, total number of balls, frequency, and time. If the “Amplitude of jar oscillation” is unknown, the use of an ideal amplitude equal to half the length of the jar (A = l_j/2) is recommended.

Conditions

Calculate

Diameter of jar :
Length of jar :
Amplitude of jar oscillation :
Diameter of a ball :
Mass of a ball :
Total number of balls :

Frequency(Hz) :

Time :

E_total :

Parameter:

Output

Result =
E_impact =
φ_{filling factor} =

#0 #0

Add #: Number of calculations added to the data table.

** The number on the right side of the Calculate button shows the current calculation number. It increases when the previous calculation is added. The number on the right side of the Add button shows the number of calculations added to the data table.
** If you don't add anything and click save, the current calculation will be saved.

citation: Orein Francis Jafter, Sol Lee, Jongseong Park, Clément Cabanetos, Dominik Lungerich, Angew. Chem. Int. Ed. 2024, e202409731.

Version 2.1.1 (Date: 25th Sept. 2024) Bug Fixes: Change of time units in planetary mill calculator did not function. We acknowledge Prof. Gregory Peterson (Incheon Natl. Univ.) for pointing out this problem.

This web page was constructed and is maintained by Sol Lee. If you have any trouble please contact. sol.lee.rk@gmail.com