In this paper, based on the critical temperature predicted function educed by HMO theory, the consistency specimen were selected from homologous compound chain H-[-CH_2-]_n-OH and H-[-CH_2-]_n-?in 27-group uncertain critical temperature literatures. Thereafter three parameters in the critical temperature predicted function were chosen,and the maximum of the predicted error 0.48K, 0.62 K, and the maximum average absolute error 0.29 K, 0.45 K were obtamed.It is much better than the complex group contributi...