In this work, Pulsed field gradient NMR is used to Measure the translational self-diffusion constants (D-T'S) of five simple peptides (GG, GR, GGR, GGNA. and GGRA) as well as glycine, G, at low concentration. The experiments were carried out in D2O at 298 K at pD = 3.5 in 80 mM sodium phosphate buffer. Of the five peptides, four are being reported for the first time (all except GG) and the results of G and GG are compared with D-T's from the literature. When corrected for differences in solvent viscosity and temperature, the discrepancy between D-T's of G and GG measured in the present work are lower than previously published Values by several percent. Given the range of values reported in the literature for specific values of the amino acids by different groups, this discrepancy is regarded as reasonable. Diffusion constants call provide useful information about Molecular size and conformation. Modeling a peptide made up of N amino acids as 2N heads (2 for each amino acid present in the peptide), we examine the diffusion constants of the above-mentioned peptides and Conclude they are consistent with unfolded or random conformations in solution. Also, by comparing the diffusion constants of G and GG. an estimate of the change in solvation Volume due to the loss of a water molecule can be estimated.