I need some clarifications on the Coulomb interaction in Lammps.

Title: I need some clarifications on the Coulomb interaction in Lammps.

For pair potentials such as Born?CMayer?CHuggins, there is an adding Coulombic pairwise interaction which is expressed as: (Page 1103 in the latest Manual).

clip_image001.png

C is an energy-conversion constant. However, in some references(Masahiko Matsumiya, Ryuzo Takagi, Electrochimica Acta 46 (2001) 3563?C3572), the Coulombic interaction is:clip_image003.jpg

Otherwise, some other references (Jamshed Anwar et al, J. Chem. Phys., Vol. 118, No. 2, 8 January 2003) formulate the Coulombic interaction as: clip_image005.jpg.

My questions:

  1. What is the energy-conversion constant means? What is the value and unit of it? Does it have any relationships with the electrostatic constant?

  2. Why the energy-conversion constant is ignored sometimes? Should I modify the energy-conversion constant to satisfy the references’ expressions? If so, how to modify the energy-conversion constant.

  3. Does the charge numbers are always integers? E.g. the charge of Na+ in NaCl is +1 with enough precision?

Thank you very much!

Title: I need some clarifications on the Coulomb interaction in Lammps.

For pair potentials such as Born–Mayer–Huggins, there is an adding
Coulombic pairwise interaction which is expressed as: (Page 1103 in the
latest Manual).

C is an energy-conversion constant. However, in some references(Masahiko
Matsumiya, Ryuzo Takagi, Electrochimica Acta 46 (2001) 3563–3572), the
Coulombic interaction is:

Otherwise, some other references (Jamshed Anwar et al, J. Chem. Phys.,
Vol. 118, No. 2, 8 January 2003) formulate the Coulombic interaction as: .

My questions:

1. What is the energy-conversion constant means? What is the value
and unit of it? Does it have any relationships with the electrostatic
constant?

​it is essentially a unit conversion factor. its value depends on what unit
of energy and what units of charge you have.​

2. Why the energy-conversion constant is ignored sometimes? Should I
modify the energy-conversion constant to satisfy the references’
expressions? If so, how to modify the energy-conversion constant.

​see answer to question 1.​

3. Does the charge numbers are always integers? E.g. the charge of
Na+ in NaCl is +1 with enough precision?

no. ​that is m​odel dependent, but for salts it is often chosen to be
integers.

axel.

clip_image001.png

clip_image003.jpg

clip_image005.jpg