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Use Slater's rules to calculate the effective nuclear charge, Z* or Zeff, for a 4f electron in Eu, Tb, and Dy.

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I may have missed something here but it appears this site has all of the rules. It may be painstaking to apply the rules but I don't think I need to do it for you.
http://en.wikipedia.org/wiki/Slater%27s_rules

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