The concept or co-operetive thermal vibrations in crystals is applied
here for an independent analysis of a system of martensitic phase tran
sitions in titanium nickelide (NiTi). In addition to the orthorhombic
B19 phase. which is well known for NiTi, a trigonal and a monoclinic p
hase - have been produced and are analyzed in detail. The calculated a
nd experimental neutron diffraction patterns obtained for monoclinic a
nd trigonal phases show a good agreement. The obtained structure of th
e monoclinic phase is absolutely different from the B19' structure des
cribed in tile literature. Finally. more emphasis is placed on some co
mplicated problems associated with a detailed identification of the tr
igonal phase structure.