The low-temperature specific-heat C(T) data of high-T_{c} superconductors RBa_{2}Cu_{3}O_{7-x}(R123O_{7-x}) were reviewed. A discussion of the C(T) data obtained on single-crystalline samples of Er123O_{7-x} and Sm123O_{7-x} compounds in applied magnetic fields for better evaluation of the crystal-electric-field parameters is given. The C(T) measurements of Sr-substituted compounds RBaSrCu_{3}O_{7} revealed the λ-type of peak related to the antiferromagnetic order at 1.2 K and 0.6 K respectively for Dy- and Er-compounds. The magnetic singlet ground state in these compounds is produced by weak exchange interactions of -0.05 T/μ_{B} and -0.035 T/μ_{B}, respectively. For Nd- and Sm-compounds, only a broad anomaly around 0.6 K was observed which is well fitted with a Schottky-type anomaly with an energy splitting of 1.4 K.
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