Supported by the following organizations
This is to certify that SIVASHANTHINI successfully completed and received a passing grade in UTokyo003x: Quantum Mechanics of Molecular Structures a course of study offered by UTokyoX, an online learning initiative of University of Tokyo.
Noted by
Kaoru Yamanouchi
Professor The University of Tokyo
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- Verified Certificate Issued December 26, 2025
- Valid Certificate ID 41879610c40b4aecb85edb3869b3bb63