Under certain circumstances, a nucleus can decay by emitting α-particle more massive than an α-particle. Consider the following decay processes:
\(_{88}^{223}Ra\rightarrow _{82}^{209}Pb+_6^{14}C\)
\(_{88}^{223}Ra\rightarrow\, _{86}^{219}Rn +\,_2^4He\)
Calculate the Q-values for these decays and determine that both are energetically allowed.