Benford distributions in NMR

• DOI: 10.48550/arxiv.1406.7077
• Publication Date: 2014-01-01
• Authors: Gaurav Bhole; Abhishek Shukla; T. S. Mahesh
• Keywords: Benford's law

Benford's Law is an empirical law which predicts the frequency of significant digits in databases corresponding to various phenomena, natural or artificial. Although counter intuitive at first sight, it a higher occurrence digit 1, and decreasing occurrences other larger digits. Here we report Benford analysis NMR draw several interesting inferences. We observe that, general, signals follow distribution time-domain as well domain. Our survey included nuclear species wide variety molecules different phases, namely liquid, liquid-crystalline, solid. also studied dependence on parameters such signal noise ratio, number scans, pulse angles, apodization. In this process find under certain circumstances, can distinguish genuine spectrum from visually identical simulated spectrum. Further that chemical-shift amplitudes radio pulses generated using optimal control techniques satisfy good extent.