The cellular method has been applied to a calculation of the cohesive energy of metallic potassium. The crystal potential is taken from a self-consistent field with exchange for the potassium ion. An approximate exchange interaction between the valence and the core electrons was included. The cohesive energy was found to be 18.5 or 19.3 cal/mole according as Pines' or Wigner's expression for the correlation energy is used, and the effective mass to be 86% of the free-electron mass. The experimental value is 22.6 cal/mole.
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Berman et al. (1956) studied this question.
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