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We study correlated pairs of photons of the optical and terahertz frequencies emitted by spontaneous parametric down-conversion. Frequency-angular distributions of the power of signal photons generated in the Stokes and anti-Stokes ranges are measured in the wide range of the nonlinear crystal temperatures 4 K - 300 K. The temperature and spectral dependencies are analyzed using the nonlinear Kirchhoff law, with account of crystal terahertz absorption and thermal field fluctuations.