Cut-off wavenumber of Alfvén waves in partially ionized plasmas of the solar atmosphere T. V. Zaqarashvili, M. Carbonell, J. L. Ballester and M. L. Khodachenko A&A, 544 (2012) A143 Published online: 15 August 2012 DOI: 10.1051/0004-6361/201219763