\(\Delta H^\circ\) refers to the enthalpy change or heat of formation for a particular element in its standard state. For transition elements, the enthalpy change is affected by the electron configuration, the stability of the element, and its ionization energy.
- Scandium (Sc) and chromium (Cr) have relatively high ionization energies and enthalpy changes.
- Copper (Cu) has a relatively stable electron configuration due to its completely filled d-subshell, making it less reactive and having a moderate \(\Delta H^\circ\).
- Zinc (Zn), on the other hand, has a completely filled 3d subshell and a stable electron configuration, making it the least reactive and having the lowest enthalpy change among the 3d transition elements. This is why Zn has the lowest \(\Delta H^\circ\).
Thus, the correct answer is Zn.