Abstract
A large part of the development of mathematics was driven by the desire to understand why objects in nature are found in a myriad of shapes and sizes and why certain forms are preferred over others. The area of mathematics called the calculus of variations has been utilized to handle the optimal forms in geometry and nature. It has been used to comprehend morphogenesis and the similarity, yet variety, of forms in the natural world. The mathematical underpinnings of natural form are beginning to influence the inorganic materials world, especially the unusual morphologies that arise in the field of self-assembly. These morphologies often exhibit curved shapes resembling those of minimal surfaces rather than familiar Platonic, polyhedral crystal habits. The curved shapes of mesostructured inorganic materials synthesized by supramolecular templating are striking examples of minimal surface area and energy principles at work in their growth and form.Key words: mesoporous materials, morphosynthesis, silica, supramolecular.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.