Researchers Measure Hydrogen’s Atomic Energy Levels with Precision to the 13th Decimal Place

Researchers at the Max Planck Institute for Quantum Optics (MPQ) in Garching, in collaboration with Professor Dr. Randolf Pohl of Johannes Gutenberg University Mainz (JGU), have achieved a significant milestone in quantum physics. They measured hydrogen’s atomic energy levels with an unprecedented precision to the 13th decimal place, reaching an accuracy of one trillionth. This achievement provides a highly precise confirmation of the Standard Model of particle physics.

The experiment involved advanced techniques to measure hydrogen’s atomic structure with extreme accuracy, surpassing previous benchmarks in precision. The findings validate theoretical predictions made by the Standard Model, which describes fundamental particles and their interactions. Researchers utilized state-of-the-art equipment and methodologies to refine their measurements, ensuring reliability and consistency at this extraordinary level of detail. This breakthrough represents a critical step forward in testing and verifying foundational principles in modern physics.

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Date: March 11, 2026

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GOAI