Second and third virial coefficients (A 2 and A 3 , respectively) for cyclohexane solutions (34.5 C) of three four-arm star polystyrene (PS) samples with a benzyl group at each arm end (4SPS-Bz) and two four-arm star PS samples with a sec-butyl group at each arm end (4SPS-Bu) were determined as functions of weight-average molecular weight M w lower than 1:5  10 4 . As in the case for linear PS with benzyl ends, A 2 for 4SPS-Bz at the theta temperature (34.5 C), where A 2 vanishes for sufficiently high M w , was negative and decreased with lowering M w in contrast to the increase of positive A 2 for 4SPS-Bu. The negative A 2 for 4SPS-Bz was ascribed to the effects of three-segment interactions and binary interactions between middle and junction point segments, while the positive A 2 for 4SPS-Bu was explained as due to the effects from arm ends. These findings reveal that the previously observed lowering in apparent theta temperature (with decreasing M w ), where A 2 ¼ 0 for a given M w , for four-arm star polystyrene is attributed to the arm-end effect. The values of A 3 for both 4SPS-Bz and 4SPS-Bu were positive and increased with decreasing M w at the theta temperature, showing significant three-segment interactions among two middle and one junction point or one arm-end segment. 1 found from light scattering measurements that the second virial coefficient A 2 of linear polystyrene (PS) with benzyl ends (benzyl-PS) in cyclohexane at the theta point  (34.5 C) becomes negative and decreases with decreasing weight-average molecular weight M w in contrast to positive and increasing A 2 for linear PS with a butyl group at one of the chain ends (butyl-PS), 2,3 where  is defined as the temperature at which A 2 vanishes for sufficiently high molecular weight M. They explained the negative A 2 for benzyl-PS as due to the effects from three-segment interactions with negligibly small chain-end effects. On the other hand, for butyl-PS the end effects 4 on A 2 were predominant, demonstrating that the chain-end groups strongly affect A 2 of low M polystyrene (M w < 3  10 4 ) at Â. It is well-known for star polymers that the apparent theta temperature  app , where A 2 ¼ 0 for a given M, decreases with lowering M.5-11 This is equivalent to an increase in A 2 with decreasing M at a fixed temperature Â. Such molecular weight dependence of  app (or opposite dependence of A 2 at Â) for star polymers has been interpreted as due to effects of threesegment interactions by theories based on the smootheddensity model. 12,13 However, a more rigorous perturbation calculation 14 predicts a decrease in A 2 at  with deceasing M for f (the number of arms) less than five. 15 This prediction, contradictory to the behavior of experimental A 2 for star polymers, at least, with f 4, prompted us to examine the end effects on A 2 of four-arm star PS as was done for linear PS. We note that the previously investigated star polystyrene samples, anionically synthesized with butyllithium, [16][17][18][19][20] had a butyl group at each arm end.In t...