In a nonvolatile memory cell with charge trapping dielectric (150), the tunnel dielectric (140) includes chlorine adjacent to the charge trapping dielectric but no chlorine (or less chlorine) adjacent to the cell's channel region (120). The chlorine adjacent to the charge trapping dielectric serves to improve the programming and/or erase speed. The low chlorine concentration adjacent to the channel region prevents chlorine from degrading the data retention. Other features are also provided.