This paper describes the temperature dependence of magnetization, the anisotropy constant K
1and the magnetostriction constant λ
gammaof single crystals of Tb
2Co
17, Ho
2Co
17and Er
2Co
17over the temperature range 77.4°K to 400°K. Tb
2Co
17and Ho
2Co
17have a uniformly easy magnetization in the basal plane while Er
2Co
17maintains an easy C axis over the entire temperature range. The anisotropy constant K
1was determined by a least square fit of the theoretical equation of magnetization to the measured magnetization curve along the hard axis. The anisotropy constant K
1at 297°K for Tb
2Co
17, Ho
2Co
17and Er
2Co
17is,

,

and

ergs/cm
3, respectively. The magnetostriction coefficient λ
γwas determined by the strain gage technique. The contribution of the Tb ion to the magnetostriction constant λ
γof the R
2Co
17compound is positive whereas the contribution of the Ho ion is negative. The magnetostrictive behavior of the Tb ion is single ion in nature.