Does the measured value of the Planck constant depend on the energy of   measurements?
  The measurement of the Avogadro constant opened the way to a comparison of the watt-balance measurements of the Planck constant with the values calculated from the quotients of the Planck constant and the mass of a particle or an atom. Since the energy scales of these measurements span nine energy decades, these data provide insight into the consistency of our understanding of physics. 
Enrico Massa, Giovanni Mana, Michael Jentschel
physics.data-an