\begin{document}$N = 79$\end{document} isotones, including \begin{document}$^{129}{\rm{Sn}}$\end{document}, \begin{document}$^{131}{\rm{Te}}$\end{document}, \begin{document}$^{133}{\rm{Xe}}$\end{document}, \begin{document}$^{135}{\rm{Ba}}$\end{document}, and \begin{document}$^{137}{\rm{Ce}}$\end{document}, within the nucleon-pair approximation (NPA) of the shell model. Low-lying energy levels of these nuclei with both positive and negative parities, as well as \begin{document}$B(E2)$\end{document} transition rates and g factors of some low-lying states, are calculated. Most of them agree closely with experimental data. The wave functions of yrast \begin{document}$1/2^+_1$\end{document}, \begin{document}$5/2^+_1$\end{document}, \begin{document}$7/2^+_1$\end{document}, \begin{document}$23/2^+_1$\end{document} states and negative parity \begin{document}$11/2^-_1 \sim 23/2^-_1$\end{document} and \begin{document}$27/2^-_2$\end{document} states of these nuclei are discussed in detail. The NPA calculations show that many of these states have a simple structure in the nucleon-pair basis."> Low-lying states of odd-even <i>N</i> = 79 isotones within the nucleon-pair approximation -
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