We have investigated the bulk and microscopic properties of the rhombohedral intermediate valence superconductor CeIr by employing magnetization, heat capacity, and muon spin rotation and relaxation (SR) measurements. The magnetic susceptibility indicates bulk superconductivity below $T_ = 3.1T_ = 3.1T_{}\Delta C\gamma T_{} \sim 1.39(1)$, is slightly less than the BCS weak coupling limit of 1.43. Transverse-field SR measurements suggest a fully gapped, isotropic, -wave superconductivity with 2$\Delta(0)/k_{}T_{} = 3.76(3)$, very close to 3.56, the BCS gap value for weak-coupling superconductors. From the temperature variation of magnetic penetration depth, we have also determined the London penetration depth $\lambda_{}(0) = 435(2)m^{*} = 1.69(1)m_{}n_{} = 2.5(1)\times 10^{26}^{-3}_34f_34f^{n}n \le 1$-electron (Ce ion in a valence fluctuating state), both exhibit the same -wave gap symmetry indicates that the physics of these two compounds is governed by the Ir- band near the Fermi-level, which is in agreement with previous band structure calculations.

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