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Sodium cobaltate with high Na content is a promising thermoelectric material.It has recently been reported that oxygen vacancies can alter the materialproperties, reducing its figure of merit. However, experimental data concerningthe oxygen stoichiometry are contradictory. We therefore studied the formationof oxygen vacancies in Na_xCoO_2 with first principles calculations, focusingon x = 0.75. We show that a very low oxygen vacancy concentration is expectedat the temperatures and partial pressures relevant for applications.

Theoretical analysis of oxygen vacancies in layered sodium cobaltate Na_xCoO_{2-\delta}