\(\text{Irregularity in \(E^\ominus\) values of first row transition metals}\)
From \(\rm~V\) to \(\rm~Cr\), \(\rm~E^0\) value becomes less negative because ionization energy and enthalpy of atomisation both increase.
From \(\rm~Cr\) to \(\rm~Mn\) it becomes more negative due to extra stability of \(\rm~Mn^{2+}\) (\(\rm~d^5\) configuration’s extra stability. Now From \(\rm~Mn\) to \(\rm~Fe\) its value again decreases due to increase in enthalpy of atomisation and I.E of \(\rm~Fe\).
The irregular variation of \(\rm~E^0(M^{2+}/M)\) can be explained by ionisation enthalpies \((\rm~\Delta _iH_1 + \Delta _iH_2)\) and also the sublimation enthalpies which are relatively much less for manganese and vanadium.
From \(\rm~Fe\) to \(\rm~Ni\) the value becomes less and less negative and in the end for \(\rm~Cu\) its positive, as enthalpy of atomisation and I.E both increases.