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distal end of the IDD maximum. The longitudinal Bragg peak retraction Δ R$_{80}$ was defined as the difference between R$_{80}$ with and without magnetic field. The lateral Bragg peak deflection y$_{80}$ was determined from the trajectory obtained with magnetic field as y$_{T}$ ( R$_{80}$ ). 

## Appendix D. Bragg peak displacement 

Measured and simulated Bragg peak deflection and retraction values and their uncertainties are summa- rized in Supporting Table D.5. 

<img src='content_image/319940.jpg'>

