Proton conducting solids are of potential interest for fuel cells, steam electrolysis, and as sensors. Proton conduction occurs in several types of materials including many hydrogen-bonded systems. In some ferroelectric and ferroelastic hydrogen-bonded crystals the superionic conductivity was discovered: MHSO4 (M = K, Rb, Cs, NH4) exhibit high proton conductivity in their high temperature phases. The hydrogen sulfate family, MHSO4 has received much attention owing to its interesting properties. The most interesting group in the crystal structures of this series is the HSO4 ion, which is usually distorted and arranged, in a tetrahedral symmetry. Potassium hydrogen sulfate, KHSO4, is a member of the alkali acid sulfate family interesting because of its ferroelectric behavior. Until now, the phase transition temperature in the KHSO4 crystal has not been exactly established. The structure of a KHSO4 single crystal is orthorhombic with space group Pbca (D 2h) and with sixteen molecules per unit cell. The unit cell parameters are a 1⁄4 8:4030 A, b 1⁄4 9:799 A, and c 1⁄4 18:945 A. All the 16 Kþ and 16 HSO 4 ions in the unit cell occupy sites of C1 symmetry. There are two types of crystallographically different Kþ, as well as HSO 4 , ions in the cell. According to the crystal structure data, one kind of HSO 4 ion appears to form a chain of similar units whereas two units of the other kind of HSO 4 ion occupy positions at opposite sides of a point of inversion, forming a dimer through two intermolecular H-bonds. Recently, we reported on the K nuclear magnetic resonance (NMR) at room temperature. The EFG tensors of K(1) and K(2) were asymmetric and the orientations of the principal axes of the EFG tensors did not coincide for the K(1) and K(2) sites. These results show that the K(1) and the K(2) sites, which are surrounded by nine oxygen atoms, were clearly distinguished by K NMR. KHSO4 crystals have previously been studied by means of X-ray diffraction, electron paramagnetic resonance and Raman scattering measurements. In order to obtain information about the dynamic motions of the HSO4 ion, it is necessary to measure the spin–lattice relaxation times, T1, of H and K in KHSO4 single crystals. However, very few NMR studies relating to the dynamic motion of the oxygen atoms have been reported. In this paper, the temperature dependences of the spin– lattice relaxation time, T1, for the H and the K nuclei in a KHSO4 single crystal grown by using the slow evaporation method were investigated using a pulse NMR spectrometer. The relaxation times of the H and the K nuclei in a KHSO4 single crystal are new observations. Single crystals of KHSO4 were grown at room temperature by using slow evaporation of an aqueous solution containing a stoichiomeric proportion of K2SO4 and H2SO4. The crystals with hexagonal shapes were colorless and transparent and had good optical quality. The NMR signals of H and K in the KHSO4 crystal were measured using the Bruker MSL 200 FT NMR and the Bruker DSX 400 FT NMR spectrometers, respectively, at the Korea Basic Science Institute. The H spin–lattice relaxation time was measured in the temperature range from 140K to 400K at a frequency of 200MHz. The spin–lattice relaxation time, T1, was measured by applying a pulse sequence of 180 –t–90 . The nuclear magnetization SðtÞ of H at time t after the 180 pulse was determined from the inversion recovery sequence following the pulse. The recovery traces of the magnetization of the crystals were measured at several different temperatures. The recovery traces of H show a single exponential function. The temperature dependence of T1 for H in the single crystal is shown in Fig. 1. In the case of the H nucleus, the spin–lattice relaxation time is long with T1 1⁄4 382 s at room temperature. The variation of the relaxation rate, T 1 1 , with temperature exhibits a minimum. As the temperature is increased, the H relaxation rate slowly decreases, and then begins to increase, passing through a minimum at 210K. The curve of T 1 1 in this temperature range has a positive parabolic shape with a minimum near 210K. This result is not consistent with the trend of H in the hydrogen sulfate family: the shape of T 1 1 for H has a positive parabolic shape in KHSO4 while the plots of T 1 1 for H in RbHSO4 and NH4HSO4 crystals 17,18) have a negative parabolic shape. Therefore, by the Bloembergen–Purcell–Pound (BPP) theory, the change in the slope of T1 for H in KHSO4 at about 210K is not believed to be related to HSO4 motion. The trend of H in KHSO4 crystals is not usual. In order to check the phase transition temperature, we measured differential scanning calorimetry (DSC) using a Du Pont 2010 DSC instrument measurements. From this result, KHSO4 showed four phase transitions in the temperature range from 140K to 473K: 451, 453, 456, and 462K.