摘要： Precise measurement of atomic transition frequencies (neutral, ion) have been performed and the uncertainty of the order of 10-18 has been attained with several transitions. However, the measurement uncertainty lower than 10-15 has never been attained with molecular transition frequencies. Precise measurement of molecular transition frequencies are useful to develop physics beyond the standard model: detection of electron electric dipole moment, detection of symmetry violation between optical isomers of chiral molecules, and search for the variation in the proton-to-electron mass ratio etc.. The attained systematic frequency is limited by the Stark, Zeeman, and electric quadrupole shifts, which have significant dependence on the electronic states and the angular momentum quantum numbers (electron orbital angular momentum, spin, nuclear spin, molecular rotation, and couplings between them). The molecular pure vibrational transition frequencies without changing any angular momentum quantum numbers are expected to be advantageous for precise measurement, because all frequency shifts at upper and lower states are more than 99 % canceled. Theoretical estimation of attainable accuracies will be given in this presentation.