TY - JOUR

T1 - Interaction Energy between Two Separated Charged Spheres Surrounded Inside and Outside by Electrolyte

AU - Sugár, István P.

N1 - Publisher Copyright:
© 2022 by the author.

PY - 2022/10

Y1 - 2022/10

N2 - By using the recently generalized version of Newton’s shell theorem, analytical equations are derived to calculate the electric interaction energy between two separated, charged spheres surrounded outside and inside by electrolyte. This electric interaction energy is calculated as a function of the electrolyte’s ion concentration, temperature, distance between the spheres and size of the spheres. At the same distance between the spheres, the absolute value of the interaction energy decreases with increasing electrolyte ion concentration and increases with increasing temperature. At zero electrolyte ion concentration, the derived analytical equation transforms into the Coulomb Equation Finally, the analytical equation is generalized to calculate the electric interaction energy of N separated, charged spheres surrounded by electrolyte.

AB - By using the recently generalized version of Newton’s shell theorem, analytical equations are derived to calculate the electric interaction energy between two separated, charged spheres surrounded outside and inside by electrolyte. This electric interaction energy is calculated as a function of the electrolyte’s ion concentration, temperature, distance between the spheres and size of the spheres. At the same distance between the spheres, the absolute value of the interaction energy decreases with increasing electrolyte ion concentration and increases with increasing temperature. At zero electrolyte ion concentration, the derived analytical equation transforms into the Coulomb Equation Finally, the analytical equation is generalized to calculate the electric interaction energy of N separated, charged spheres surrounded by electrolyte.

KW - Debye length

KW - charge–charge interaction energy

KW - screened potential

UR - http://www.scopus.com/inward/record.url?scp=85140780879&partnerID=8YFLogxK

U2 - 10.3390/membranes12100947

DO - 10.3390/membranes12100947

M3 - Article

AN - SCOPUS:85140780879

SN - 2077-0375

VL - 12

JO - Membranes

JF - Membranes

IS - 10

M1 - 947

ER -