Inventing a completely new analogue of Mendeleev's periodic table for molecules, atoms, and elementary particles can be a complex and challenging task. However, I can provide you with a general approach to get started. Keep in mind that this is a highly theoretical and speculative endeavor, as such a table does not currently exist.
Research existing knowledge: Begin by gaining a comprehensive understanding of the properties and characteristics of molecules, atoms, and elementary particles. Familiarize yourself with the periodic table of chemical elements, quantum mechanics, and particle physics. This will serve as the foundation for your analog.
Identify key properties: Determine the key properties that define molecules, atoms, and elementary particles. Consider factors such as atomic number, mass, charge, electron configuration, spin, and other relevant characteristics.
Determine classification criteria: Devise a system of classification that organizes the entities based on their identified properties. This system should allow for a logical and consistent arrangement of molecules, atoms, and elementary particles, similar to how the periodic table organizes chemical elements.
Design a visual representation: Create a visual representation that represents your new analogue. Consider the layout, grouping, and patterns that will facilitate the understanding of the relationships between different entities. This could be a two-dimensional table, a three-dimensional representation, or even a more abstract visual format.
Test and refine: Continuously refine your analogue by testing it against known molecules, atoms, and elementary particles. Ensure that it provides meaningful insights and can accommodate future discoveries. You may need to make adjustments and refinements as you gain more knowledge and insights.
Seek expert input: Share your proposed analogue with experts in the fields of chemistry, physics, and related disciplines. Obtain feedback and suggestions to further improve and validate your design. Experts may help you identify potential flaws, suggest alternative arrangements, or provide valuable insights.
Document and communicate: Once you have developed a well-defined analogue, document it in a clear and organized manner. Create accompanying materials, explanations, and supporting information to help others understand your concept. Consider publishing your work in scientific journals or presenting it at conferences to contribute to the scientific community.
Remember that inventing a new analogue of Mendeleev's periodic table for molecules, atoms, and elementary particles is a highly ambitious task. It requires a deep understanding of the subject matter and an ability to conceptualize complex relationships. It's essential to stay open-minded, adaptable, and receptive to feedback from experts in the field.