  Graphane is a quasi-two-dimensional material consisting of a single layer of
fully hydrogenated graphene, with a C:H ratio of 1. We study nuclear quantum
effects in the so-called chair-graphane by using path-integral molecular
dynamics (PIMD) simulations. The interatomic interactions are modeled by a
tight-binding potential model fitted to density-functional calculations.
Finite-temperature properties are studied in the range from 50 to 1500~K. To
assess the magnitude of nuclear quantum effects in the properties of graphane,
classical molecular dynamics simulations have been also performed. These
quantum effects are significant in structural properties such as interatomic
distances and layer area at finite temperatures. The in-plane compressibility
of graphane is found to be about twice larger than that of graphene, and at low
temperature it is 9\% higher than the classical calculation. The thermal
expansion coefficient resulting from PIMD simulations vanishes in the
zero-temperature limit, in agreement with the third law of Thermodynamics.
