Abstract

We calculate the pendular-state spectra of cold linear molecules, and investigated the dependences of “Q-branch” integrated intensity of pendular spectra on both electric-field strength and molecular rotation-temperature. A new multi-peak structure in the “Q-branch” spectrum is appearing when the Stark interaction strength ω = μE/B equal to or larger than the critical value. Our study shows that the above results can be used not only to measure the electric-field vector and its spatial distribution in some electrostatic devices, such as the Stark decelerator, Stark velocity filter and electrostatic trap and so on, but also to survey the orientation degree of cold linear molecules in a strong electrostatic field.

Highlights

  • Their measurement to date have not been solved well, unlike the measurement of the magnetic field[34]

  • It would be interesting and worthwhile to investigate the dependences of Q-branch intensity of pendular-state spectrum of cold/ultracold linear molecules on both the E-field strength and the molecular rotational temperature, and develop a new and desirable method to measure the E-field vector and its spatial distribution with an ultra-wide surveying range

  • Polar molecules in a strong electric field will be oriented and converted from pinwheeling rotors into pendular liberators confined to oscillate over a limited angular range along the field direction

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Summary

Introduction

Their measurement to date have not been solved well, unlike the measurement of the magnetic field[34]. Only a few methods have been developed to measure the E-field amplitude or the E-field vector and its spatial distribution from a weak E-field (∼​1 V cm−1) to a moderate one (∼​103 V cm−1) by using electro-optic probe[35], Stark spectrum of Rydberg-atoms[36,37] and Rydberg-molecules[38], and fluorescence-dip spectroscopy[39] and so on[40,41] Those methods only cover a narrow range of around three orders of magnitude which is far narrower than the measuring range of the magnetic field from 10−15 T to 103 T34. The main results and conclusions are included in final section

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