It is shown that by varying pulse lengths and delay times in electron spin resonance microwave pulse sequences, designed to enhance C-13 nuclear magnetic resonance signals in diamond, and measuring the resulting C-13 nuclear magnetic resonance signal, the paramagnetic impurity concentration, electron spin-spin and spin-lattice relaxation times in the laboratory and rotating frames, as well as the electron-nuclear interaction time, can be obtained. It is also shown that the maximum C-13 polarization at a specific microwave frequency is dependent on the electron spin-lattice relaxation times in the laboratory and rotating frames.