Droplet motions fill a periodic table

Area of Science:

• Physics
• Chemistry
• Materials Science

Background:

• The periodic table of elements organizes atomic properties based on electron shell symmetry.
• Understanding the dynamics of liquid droplets on surfaces is crucial in various scientific and industrial applications.

Purpose of the Study:

• To introduce a novel periodic table for droplet motions, analogous to the periodic table of elements.
• To explore the concept of symmetry breaking in droplet dynamics and its relation to spectral theory.
• To develop a new tool for characterizing surface wettability.

Main Methods:

• Applying symmetry breaking principles, guided by droplet spectral theory, to classify droplet motions.
• Discovering higher-order droplet mode shapes based on the spectral theory.
• Inventing a wettability spectrometer to measure and analyze droplet behaviors.

Main Results:

• A periodic table of droplet motions has been established, ordered by kinetic energy.
• The theory predicts and experimental observations confirm the first 35 elements for water on a surface with a 60° contact angle.
• Higher droplet mode shapes were identified and characterized.

Conclusions:

• Droplet motions exhibit natural mode shapes governed by symmetry breaking, forming a predictable periodic table.
• The developed periodic table is characteristic of specific droplet volumes and material parameters.
• The relationship between different periodic tables is explained through a two-parameter family tree based on symmetry breaking.