STUDY ON THE DEPENDENCY OF STEADY STATE RESPONSE ON THE RATIO OF LARMOR AND RABI FREQUENCY FOR ESR USING MATLAB

Amit Kumar, Rajib Chakraborty

Abstract: In this project we simulate with very high accuracy specially to study the dependency of the steady state power and dispersion output on the ratio (r) between Larmor and Rabi frequency for the electron spin resonance experiment by the matlab software (version 7.9.0.529(R2009b)). Where the sample material (DPPH) has been kept in a strong static magnetic field (B0) and in orthogonal direction a high frequency electromagnetic field (B1(t)) has been applied. We divide our simulation into two parts. In the first part we ignore the terms and observe the dependency of the power maximum on the amplitude of the oscillating e.m. field B1 (for fixed (?L) Larmor frequency) and on ?L (for fixed B1). Also observe a clear shift (??) of the power maxima (Pmax) from ?L. In our second part we consider the term and the ratio (r) between Larmor and Rabi frequency and observe the shift (??) of the power maxima (Pmax) from ?L and change in peak to peak line width (?BPP) with B1 both depends upon the ratio r. we consider various range of r ([0.83,5], [16,100], [88.3,500], [1000,2000], [833.3,5000]) and observe these dependency. We observe as the ratio of r increases the output i.e. shift (??) and the change in ?BPP with B1 decreases and converges to the case of neglecting terms. We also observe the shift (??) follows some non linear relationship with B1

Keywords: E.S.R., Larmor, Rabi, Ratio r, Spin

DOI: https://doi.org/10.15623/ijret.2016.0503042