How far the stability domain of a numerical method for approximating solutions to differential equations extends along the imaginary axis indicates how useful the method is for approximating solutions to wave equations; this maximum extent is termed the imaginary stability boundary, also known as the stability ordinate. It has previously been shown that exactly half of Adams-Bashforth (AB), Adams-Moulton (AM), and staggered Adams-Bashforth methods have nonzero stability ordinates. In this paper, we consider two categories of Adams predictor-corrector methods and prove that they follow a similar pattern. In particular, if p\documentclass[12pt]{minimal}
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\begin{document}$$p$$\end{document} is the order of the method, ABp\documentclass[12pt]{minimal}
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\begin{document}$$p$$\end{document}-AMp\documentclass[12pt]{minimal}
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\begin{document}$$p$$\end{document} methods have nonzero stability ordinate only for p=1,2,5,6,9,10,…\documentclass[12pt]{minimal}
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\begin{document}$$p = 1, 2, \ 5, 6,\ 9, 10, \ldots $$\end{document}, and AB(p-\documentclass[12pt]{minimal}
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\begin{document}$$p-$$\end{document}1)-AMp\documentclass[12pt]{minimal}
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\begin{document}$$p$$\end{document} methods have nonzero stability ordinates only for p=3,4,7,8,11,12,…\documentclass[12pt]{minimal}
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\begin{document}$$p = 3, 4, \ 7, 8, \ 11, 12, \ldots $$\end{document}.
