HDO diffusion kinetics on ultrathin (25-200 BL, 90-730 Angstrom) HNO3- and HCl-dosed crystalline D2O ice multilayers were investigated using a combination of laser-induced thermal desorption (LITD) probing and isothermal desorption depth profiling. Crystalline hexagonal D2O ice multilayers were grown epitaxially on a Ru(001) single-crystal substrate. HDO diffusion into the ice bulk was measured along the c-axis of crystalline ice by monitoring the HDO and D2O LITD signals during depth profiling by isothermal multilayer desorption. The HDO diffusion rate into HNO3-dosed D2O ice films was similar to 30-70 times slower than that of HDO diffusion into pure D2O ice. The measured HDO diffusion coefficients at initial HDO and DNO3 coverages of 0.5-3.0 bilayers (BLs) ranged from D = 2.5(+/-0.3) x 10(-18) cm(2)/s at T = 150 K to D = 1.5(+/-0.2) x 10(-15) cm(2)/s at T = 173 K. Arrhenius analysis yielded diffusion kinetic parameters of D-0 = 71.9 +/- 9.2 cm(2)/s and E-A = 13.2 +/- 1.4 kcal/mol. In contrast, the HDO diffusion rate into HCl-dosed D2O ice films was similar to 10-20 times faster than that of HDO diffusion into purr D2O ice. The measured HDO diffusion coefficients at initial HDO and DCl coverages of 0.3-5.0 BL varied from D = 9.8(+/-0.7) x 10(-17) cm(2)/s at T = 146 K to D = 3.5(+/-0.2) x 10(-14) cm(2)/s at T = 161 K. Arrhenius analysis yielded diffusion kinetic parameters of D-0 = 2.4(+/-0.1) x 10(12) cm(2)/s and E-A = 19.0 +/- 0.3 kcal/mol. Measurements of HDO surface diffusion were also conducted using LITD probing to monitor the relaxation of a HDO coverage gradient on the basal (001) face of the ice multilayer. HDO surface diffusion on HNO3- and HCl-dosed ice multilayers was not observed within the resolution of the LITD experiment at 140 K. The lack of measurable HDO surface diffusion is consistent with HDO diffusion into the ice bulk at the surface diffusion temperatures. The diffusion kinetics predicted at stratospheric temperatures of T = 180-210 K indicate that H2O molecules readily diffuse into pure crystalline ice on the millisecond to microsecond time scale. In the presence of HNO3 and HCl, the H2O surface residence times are considerably increased and decreased, respectively. The effect of HNO3 and HCl on the H2O surface residence time may influence heterogeneous atmospheric chemistry by altering absorption rates into ice cloud particles.