The values for infrared absorption of quartz cut along the definite direction have been rescrutinized within the range of 1500~400cm-1 through transmission and reflection techniques, being well agreeable with the data and assignment proposed by SCOTT and PORTO. On the basis of their in-frared and Raman spectra for α-quartz as well as the infrared data offered in the case of heating at 600°C by SIMON and McMAHON in association with the Raman data shown at 600°C by NARAYANA-SWAMY respectively for β-quartz the values of frequency for the fundamental vibration of quartz have been estimated in good harmony with those observed really in the experiments whereas it has become evident that the previous data for frequency were erroneously assigned to more or less extent. In view of the preceding works the data resulted from calculation of the wave-numbers of fundamental vibration for α- and β-quartz have been presented in this report.