Energetic outer radiation belt electron phase space density(PSD)evolution due to interaction with whistler-mode chorus at different L-shells is investigated by solving the diffusion equation including cross diffusion terms.It is found that the difference of diffusion rates for different L-shells occurs primarily at pitch angles 0°-50° and around 90°.In particular,diffusion rates for L = 6.5 are found to be 5-10 times larger than that for L = 3.5 at these pitch angles.In the presence of cross terms,PSD for～MeV electrons after 24 h decreases by about 25,12,10 and 8 times at L = 3.5,4.5,5.5 and 6.5 near the loss cone,and increases by about 55,45,30 and 20 times at larger pitch angles,respectively.After 24 h,the ratios between～MeV electron PSDs from simulations without and with cross diffusion at L = 3.5,4.5,5.5 and 6.5 are about 350,600,800 and 800 near the loss cone,and become 5,5.5,6.5 and 8 at pitch angle 90°,respectively.These results demonstrate that neglect of cross diffusion generally results in the overestimate of PSD,and the cross diffusion plays a more significant role in the resonant interaction between chorus waves and outer radiation belt electrons at larger L.