We theoretically analyzed the H/D isotope effect for phase transition temperature (T c ) and geometrical changes of hydrogen-bonded dielectric materials by using the multi-component molecular orbital method, which can take account the quantum effect of proton, deuteron, triton, and muon. Taking into account the quantum effect of proton/deuteron using the MC_MO method directly, the difference of T c , as well as, the geometry and electronic charge difference is universally elucidated. The origin of the isotope effect for hydrogen-bonded dielectric materials is from the difference of the proton/deuteron wave distributions under the anharmonicity of the potential.
IntroductionThe hydrogen-bonded dielectric material is classified into the (anti-) ferroelectric materials having hydrogen bond in the crystal structure. Many hydrogen-bonded dielectric materials have been reported since the discovery of potassium dihydrogen phosphate, KH 2 PO 4 (KDP), in 1935 [1]. The hydrogen-bonded dielectric materials have various hydrogen-bonded networks such as three-, two-, one-, and zerodimensional structures [2][3][4][5].The phase transition of the hydrogen-bonded dielectric materials strongly depends on the nature of hydrogen-bonded networks. The hydrogen bond in the crystal of hydrogen-bonded dielectric materials plays an important role to control various physical properties. In particular, drastic change of the phase transition temperature (T c ) of the hydrogen-bonded dielectric materials upon replacing hydrogen atoms with deuterium is usually called the 'isotope effect'. Sometimes the difference of the T c between the hydrogen and deuterium compounds is more than 100 K. The problem of its phase transition and the large isotope effect on such physical quantities as the T c has been one of the most interesting topics in this field. Although there are many models and experimental results with respect to the isotope effect of M. Tachikawa