45

Solid State Physics

Sequence of Expressions

When X-rays are scattered from a crystal lattice, peaks of scattered intensity are observed when the path difference between the rays scattered from parallel planes of atoms is a whole number of wavelengths: nλ=2dsinθn\lambda = 2d \sin \theta.
The magnetization in a paramagnetic material is directly proportional to the applied magnetic field and inversely proportional to temperature: M=CBTM = C \frac{B}{T}.
The molar heat capacity of many solids at room temperature is approximately 3R3R.
The ratio of the thermal conductivity to the electrical conductivity of a metal is proportional to the temperature: κσ=LT\frac{\kappa}{\sigma} = L T.
Describes the magnetic susceptibility of a ferromagnet in the paramagnetic region above the Curie point: χ=CTTc\chi = \frac{C}{T - T_c}.
The heat capacity of a solid at low temperatures is proportional to the cube of the temperature.
The lattice parameter of a solid solution of two constituents is approximately a linear function of the concentrations of the constituents.
The total electrical resistivity of a metal is the sum of the resistivity due to thermal agitation of the metal ions and the resistivity due to the presence of imperfections in the crystal lattice.