I guess I wasn't as clear as I hoped. I was trying to compare the limits for establishing a radiologically controlled area with the readings Norm found, my point being Norm's readings based on contact would be greatly reduced at 30cm, and therefore were orders of magnitude below the levels required for occupational controls. For this purpose, the difference between contact readings and the 30cm reading would follow the inverse square rule. You are correct regarding the shielding of the watch. For purposes of exposure from close contact like wearing a watch the alpha from the radium would not penetrate the metal case and would likely not penetrate the crystal. Norms's dial readings are probably mostly from decay products like radon still trapped on the dial. I appreciate everyone's interest and discussion on this topic because I think it will help us enjoy our hobby safely but without undue concern.