2 [Einstein] conjectured that the infrared characteristic frequencies of a solid might be determined by the same forces between atoms as determine the solid's ordinary elastic behavior. The relevant quantities are these. quantity characteristic frequency v compressibility k dimensional formula L°M°T-1 L¹M-¹T² L-³M°T° L°M'T® number of atoms per cubic cm N mass of an atom m Show that there is one dimensionless product. Conclude that, in any complete relationship among quantities with these dimensional formulas, k is a constant times v-2N-1/3m-1. This conclusion played an important role in the early study of quantum phenomena.

2 [Einstein] conjectured that the infrared characteristic frequencies of a solid might be determined by the same forces between atoms as determine the solid's ordinary elastic behavior. The relevant quantities are these. quantity characteristic frequency v compressibility k dimensional formula L°M°T-1 L¹M-¹T² L-³M°T° L°M'T® number of atoms per cubic cm N mass of an atom m Show that there is one dimensionless product. Conclude that, in any complete relationship among quantities with these dimensional formulas, k is a constant times v-2N-1/3m-1. This conclusion played an important role in the early study of quantum phenomena.