Abstract
The ideal MHD linear stability theory of arbitrary-n (including n=1) interchange modes in shaped tokamaks with flat central rotational transform is developed. The unstable modes have very long parallel wavelength everywhere, but their perpendicular wavelength is assumed to be comparable to the plasma minor radius. It is shown that the stability condition against these radially extended modes is independent of their toroidal wave number n, and identical to the shearless limit of the n≫1 Mercier criterion.

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