The Pippard relations (CP vs. P and P vs. T) are examined at various temperatures up to 1200 K at zero pressure (P = 0) for the cubic gauche nitrogen. The specific heat (CP) is related to the thermal expansion (P) and the P is also related to the isothermal compressibility (T) as the Pippard relations for this solid structure. For those relations, experimental data are used from the literature. It is found that the variation of the CP with the P and P with the T is linear. Using the linear relations dP/dT is predicted, which can be compared with the experimental measurements in the P-T phase diagram of cubic gauche nitrogen.