According to Judd-Ofelt principle and ligand field theory

the allowing number ofelectric and magnetic dipole transition from the lowest excited state to the ground states(

5

D

4

-

7

F

j

)for for f

8

electron configuration in 32 point group are calculated and listed by usinggroup theory.Investigation of the high-resolution-emission spectra of the single crystal TbBenH

4

·H

2

O at 10K shows that the coordination symmetry of Tb

3+

in this complex isvery low.This result is consistent with the X-ray structure analysis.This set of calculated data would be available in studying the coordination symmetry of Tb

3+

by determidetermination of fluorescence spectra.