VERIFIED CERTIFICATE of ACHIEVEMENT
Kaoru Yamanouchi Professor
This is to certify that
The University of Tokyo
Christos Mytafides 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 through edX.
VERIFIED CERTIFICATE Issued October 5, 2016
VALID CERTIFICATE ID 22439c7a35a948428606c8b4c50d5252