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The diamagnetic correction for [Co(ox)₃]⁴⁻ involves accounting for the diamagnetic contribution of all the atoms in the complex ion. This is typically done using Pascal's constants, which are empirical values representing the diamagnetic susceptibility of individual atoms. The diamagnetic correction is then subtracted from the measured magnetic susceptibility to obtain the paramagnetic susceptibility, which reflects the number of unpaired electrons. To calculate the diamagnetic correction for [Co(ox)₃]⁴⁻, you would need to look up the Pascal constants for cobalt, oxygen, and carbon and sum them up according to the number of each atom in the complex. The correction would be a small negative value, reflecting the slight reduction in magnetic susceptibility due to the diamagnetic nature of the core electrons.