Abstract
Two-photon rotational spectroscopy of cold trapped HD <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">+</sup> ions may be exploited for characterization of the magnitude and orientation of a static magnetic field in the ion trap. The experimental setup and the approach for calibration of the magnetic field vector are described. A sensitivity at the 10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-11</sup> T level may be reached with Zeeman spectroscopy of a hyperfine component of the (v,L) = (0,0)→(0,2) transition. The orientation of a magnetic field with a magnitude at the 1 μT level may be characterized with an uncertainty better than 30 mrad.
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