# Rubric for assessing the report for the NV magnetometry research practicum ## Abstract & introduction - [ ] The research question is clear - [ ] Abstract is a concise summary of research question and main results ## Theory The important theory is summarized. The answers to the preparation questions can also be discussed in this section: - [ ] NV center defect in diamond: diamond lattice and NV orientations - [ ] Discussed in own words the principle of the NV center's spin-dependent photoluminescence - Students explain initialization process. - Explanation of the difference between the PL of the m=0 and m= +/- 1 states - Student includeds illustration of energy diagram of the NV- with spin transitions and decay channels - [ ] NV spin Hamiltonian and ESR frequencies - Derivation of an expression for the eigenvalues of the NV - Hamiltonian - Calculate the ESR frequencies for a 0- and 90-degree field. - [ ] Explanation of the expected field for a small cylindrical permanent magnet ## Experimental setup Explanation and self-made schematic illustration of experimental setup including: - [ ] A correct enumeration of the required optical elements to excite the NV centers and detect their photoluminescence. - [ ] Explanation of the use of the microwave generator, its use, operating frequencies, its location. - [ ] Presence of an external magnetic field: - Control of the strength at the position of the NV centers - Discussion of field orientation w.r.t to the orientation of the diamond and the NV centers. ## Results and discussion - [ ] Discussion of a single ESR measurement of the NV centers in a magnetic field: - How many peaks are visible and why? - From the ESR frequencies, the corresponding magnetic field strength and angle are calculated with respect to the different NV families. - [ ] Discussion of a set of ESR measurements while varying the angle of the magnetic field - Determine the ESR frequencies as a function of the angle of the magnetic field - From the ESR frequencies calculate the angle of the field with respect to the different NV families. - The orientation of the permanent magnet is determined such that its magnetic field is aligned parallel to one of the NV families. - [ ] Discussion of a set of ESR measurement while varying the distance of the permanent magnet to the diamond - Determine the ESR frequencies as a function of the distance - From the ESR frequencies extract the magnetic field strength - Plot the magnetic field as a function of distance and fit the dependence with an analytical expression that can approximate the field of a permanent magnet. - Extract the magnetization of the permanent magnet. Is this reasonable? - The findings are compared against the calculated magnetic field for a cylindrical magnet. - [ ] All plots have correct labels and units - [ ] The extracted ESR frequencies / values for the magnetic field are determined up to **significant** numbers. - [ ] Assessment of the noise level and assess how many iterations are necessary for an accurate measurement and how many you have used for your plots. ## Data analysis - [ ] At least one ESR spectrum was fitted correctly - A succesfull lorentzian fit of at leats one ESR spectrum. - Correct determination op peak center, peak amplitudem, FWHM and the standart diviation errors. - [ ] The extracted fit parameters have error bars - The ESR frequencies as a function of the angle of the permanent magnet are plotted with error bars. - The magnetic field as a function of distance is plotted with error bars.