The current-potential (I-V) relationship of a redox active species is measured as a function of potential in cyclic voltammetry (CV). In a CV trace, the oxidation and reduction peaks represent, respectively, the potentials at which the species is oxidized or reduced.

The interpretation of the CV peaks in the case of a stable organic radical might be challenging because the radical can exist in various redox states. For instance, the reduction peak may be caused by the addition of an electron to the lowest unoccupied molecular orbital (LUMO) or the highest occupied molecular orbital (HOMO), whereas the oxidation peak may be caused by the removal of an electron from the semi-full (SOMO) orbital (LUMO). As you have described, the peaks in this situation may be distinct and separated from one another.

It is crucial to remember that the interpretation of CV peaks for organic radicals can be challenging and may need for additional information, such as calculations based on the density functional theory (DFT) or spectroscopic data, in order to properly comprehend the species' redox activity.

In conclusion, the SOMO level is not always associated with the peaks in a CV trace of a stable organic radical, which can correspond to the removal or addition of an electron to different orbitals.

When it comes to electrochemistry of stable radicals, the interpretation of the cyclic voltammogram can be different from that of non-radical molecules. In general, stable radicals have a singly occupied molecular orbital (SOMO) that is partially filled, which leads to a complex electrochemical behavior. The electrochemistry of stable radicals can provide information on their redox properties, stability, and reactivity.

In cyclic voltammetry, oxidation and reduction peaks arise when an electron is added or removed from the molecule. For a stable radical, the SOMO is partially filled and can be involved in both the oxidation and reduction processes. Therefore, the oxidation and reduction peaks can be quite close to each other, and the traditional HOMO/LUMO peaks may not be clearly defined.

However, in some cases, the stable radical may have other molecular orbitals that are involved in the oxidation or reduction process, leading to more well-defined oxidation and reduction peaks. These peaks can be used to determine the redox potential and HOMO/LUMO energy levels of the stable radical.

It is important to note that the interpretation of cyclic voltammograms of stable radicals can be challenging, and a combination of experimental and theoretical methods is often needed to fully understand the electrochemical behavior of these molecules. As for crediting sources, it is always good scientific practice to acknowledge and cite any sources of information or assistance.