NV¯ center emulation in an external magnetic field

The work is devoted to emulating the correlation of a projection of magnetic field vector on axes of nitrogen-vacancy center in diamond lattice with frequencies of optically detected magnetic resonance (ODMR). The projection of the magnetic field on the axes, which reflect the bonds of the carbon atom vacancy with the neighboring carbon atoms and the nitrogen atom, is calculated in this work. The paper highlights the algorithmic representation of the above calculations by software. The dependence of the optically detected magnetic resonance on the direction and magnitude of the magnetic induction vector is demonstrated. In total, there are 4 bonds between the vacancy and neighboring atoms located at an angle of 109.5° relative to each other. Having the magnitude of the ODMR signal, it is possible to reconstruct the vector of the external magnetic field, taking into account its projection angle on the bonds with the vacancy.