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We calculate the dependence of the nuclear magnetic moments on the quarkmasses including the spin-spin interaction effects and obtain limits on thevariation of the fine structure constant $\alpha$ and $(m_q/\Lambda_{QCD})$using recent atomic clock experiments examining hyperfine transitions in H, Rb,Cs, Yb$^+$ and Hg$^+$ and the optical transition in H, Hg$^+$ and Yb$^+$

Dependence of nuclear magnetic moments on quark masses and limits on temporal variation of fundamental constants from atomic clock experiments