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Supported by analytical considerations and experimental verification, we demonstrate that thermionic electron current under partial space-charge condition follows the threehalves power Child-Langmuir law with a proportionality coefficient, j, that is material dependent and characterizes the emitter unambiguously. Such a partial space-charge regime has been assessed through experiments on parallel plane diodes with borondoped diamond films (with four different B/C ratios) as electron emitters at temperature of 1000 K. All current measurements have indicated a 3/2-power relationship on voltage but with distinct, material dependent coefficients j that were found to decrease with the work function of the samples tested.

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