  Field emission from nano-structured emitters primarily takes place from the
tips. Using recent results on the variation of enhancement factor around the
apex (Biswas et al, Ultramicroscopy 185, 1-4 (2018)), analytical expressions
for surface distribution of net emitted electrons as well as the total and
normal energy distributions are derived in terms of the apex radius $R_a$ and
the local electric field at the apex $E_a$. Formulae for the net emitted
current and effective emission area in terms of these quantities are also
obtained.
