Abstract
The inhomogeneity correction to the statistical theory of the atom in a uniform strong magnetic field is derived by using the March-Murray perturbation expansion theorem of the canonical density matrix modified to give the Thomas-Fermi electron density as the first term of the expansion. The inhomogeneity correction makes the atom non-spherical and it is concluded that as the magnetic field strength increases the electron cloud of the atom contracts in the direction perpendicular to the applied magnetic field as will be expected.

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