Does this bond formation release energy?

[MrGenetic]

If -Nh2 terminal become Nh3+, is this bond formation release energy in terms of entalpy decreasing way?

 

[Ygggdrasil]

Yes, if the enthalpy of the products is lower than the enthalpy of the reactants, the reaction will release energy (usually in the form of heat). Eletrostatic interactions between the positively-charaged hydrogen ion and slight negative charge on the lone pair of the nitrogen atom cause the decrease in potential energy when the two interact.