Summary: The localization behavior of one-dimensional quantum systems for \(\hbar\to 0\) is investigated by semiclassical methods. In particular the localization of the quantum probability around turning points of arbitrary even order associated to classical hyperbolic orbits is considered and a relation of the localization speed in \(\hbar\) with the classical motion is established. Our analysis is based on local norm comparisons of solutions to Schrödinger type equations; it relies mainly on a combination of scaling and asymptotic arguments and thus evades the use of special functions. Applications of the results to separable multidimensional Schrödinger equations are indicated by a brief discussion of the one-electron diatomic molecular ion.