SUMMARY
The magnetisation ratio M0 of hydrogen-1 (1H) nuclei is significantly greater than that of carbon-13 (13C) nuclei due to the difference in their gyromagnetic ratios and number densities. The number density of 1H nuclei in the human body is approximately 600 times greater than that of 13C nuclei. To determine the factor by which M0 of 1H exceeds that of 13C in a uniform external magnetic field, one must consider both the gyromagnetic ratios and the scaling with number density. The relationship can be established by dividing the gyromagnetic ratio of 1H by that of 13C and factoring in the number density difference.
PREREQUISITES
- Understanding of gyromagnetic ratios, specifically for 1H and 13C nuclei
- Familiarity with Larmor frequency and its relation to magnetisation
- Basic knowledge of nuclear magnetic resonance (NMR) principles
- Concept of number density in the context of nuclear physics
NEXT STEPS
- Research the gyromagnetic ratios of 1H and 13C nuclei
- Study the relationship between Larmor frequency and magnetisation in NMR
- Explore the impact of number density on nuclear magnetisation
- Investigate scaling factors affecting magnetisation in different materials
USEFUL FOR
Students and researchers in nuclear physics, particularly those studying nuclear magnetic resonance (NMR) and its applications in medical imaging and spectroscopy.