In recent years the nucleus 51 Y has been extensively studied, both experimentally by Horoshko et al. (1970), using the 48Ti(oc, py)51y reaction, and theoretically in terms of shell model calculations by many authors (McCullen et al. 1964; Horoshko et al. 1970; Lips and McEllistrem 1970). Mixed configuration shell model calculations by Lips and McEllistrem, in particular, have successfully reproduced the low-lying energy levels of5ly. However, strong coupling rotational model calculations by Malik and Scholz (1966) did not give satisfactory results. In the present work, the intermediate coupling unified model (Bohr and Mottelson 1953; Choudhury 1954) is applied to Sly. The purpose of this work is to show that the intermediate coupling model can successfully predict the low-lying energy levels of Sly.