Write the nuclear reactions for the following:
(i) $\mathrm{\alpha }-\mathrm{decay} \mathrm{of} {}_{84}{}^{204}\mathrm{Po}$

(ii) ${\mathrm{\beta }}^{-} \mathrm{decay} \mathrm{of} {}_{15}{}^{32}\mathrm{P}$

(iii) ${\mathrm{\beta }}^{+} \mathrm{decay} \mathrm{of} {}_6{}^{11}\mathrm{C}$

Nuclear reactions are given by: 

(i)  $\mathrm{\alpha }$-decay : ${}_{84}{}^{204}\mathrm{Po} \to {}_{82}{}^{200}\mathrm{Pb} + {}_2{}^4\mathrm{He}$

(ii) ${\mathrm{\beta }}^{-}$ decay : ${}_{15}{}^{32}\mathrm{P} \to {}_{16}{}^{32}\mathrm{S} + {}_{-1}{}^0\mathrm{e} + \overline{\mathrm{v}}.$

(iii) ${\mathrm{\beta }}^{+}$ decay : ${}_6\mathrm{C}^{11} \to {}_5{}^{11}\mathrm{B} + {}_{+1}{}^0\mathrm{e} + \overline{\mathrm{v}.}$