would you please describe the problem in more detail. The question as it stands is not clear. Alternating electric field moves the ions in two directions.
Assuming a material with ionic bond, so, applying an alternating electric field E will displace the ions form each other making the positive ions to be displaced in the direction of the electric field and the negative ions will be displaced in the reverse direction of the electric filed.
The positive ions will be accumulated in the forward face of the material and the negative ions will be accumulated on the negative face. The charge density which is the ion density D at the face of the ionic material will be determined by the relation D= epsilon ionic E where epsilon is the dielectric constant due to ionic polarization. Further D= QN, where Q the charge of one ion and N is the ion density per unit area say cm^2.
Dear Abdelhalim Zekry, I have a coplanar electrode device with 100 micron gap between the coplanar electrodes on which kHz high voltage ( 400-500 Vrms) is applied. I want to know whether ions will be produced above the gap since the field is so high to ionise the air above it. If so, what could be the direction of the ionic wind and how can I estimate the ion density with electric field.