This chapter begins with a recount of the histories of electricity and magnetismMagnetism as they apply to chemistry. The CoulombCoulomb Law, the electrostatic field, and electric potential are introduced. Next comes the concept of superposition of chargeSuperposition of charge. The centimeter, gram, second (cgs) system of units is introduced and used to calculate the classical radiusClassical radius of the electronElectron. The electric currentCurrent is identified as a source of magnetismMagnetism. This observation leads to the consideration of a cgs unit of current not basedBase on the cgs unit of charge. This inconvenience is resolved by introducing the modern system of meter, kilogram, second, Coulomb (MKSQ) units. Faraday’s law of electrolysisElectrolysis is then invoked in order to determine the charge of the electron. Linear, surface, and volume charge distributions are introduced. As an example of a linear charge distribution, the electric fieldFieldelectric in the vicinity of a charged double strand DNADNA molecule is calculated. The electrostaticDipolestatic potentialPotentialelectrostatic and electric field of a point electric dipoleDipoleelectric are introduced, and the energy of interactionDipoleinteraction with another point dipole is calculated. The chapter closes with the derivation of the formula representing the electric field of the point electric quadrupole. This is supplemented by a discussion of Gauss’ lawGauss law, perfect conductorsPerfect conductor, and Legendre polynomialsLegendre polynomial, which are used to represent the electrostatic potential inCoordinatesspherical polar spherical polar coordinatesCoordinatesplane polar. The chapter ends with a proof of Earnshaw’s theorem concerning the stability of matter.

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Electrostatics

  • James K. Baird

摘要

This chapter begins with a recount of the histories of electricity and magnetismMagnetism as they apply to chemistry. The CoulombCoulomb Law, the electrostatic field, and electric potential are introduced. Next comes the concept of superposition of chargeSuperposition of charge. The centimeter, gram, second (cgs) system of units is introduced and used to calculate the classical radiusClassical radius of the electronElectron. The electric currentCurrent is identified as a source of magnetismMagnetism. This observation leads to the consideration of a cgs unit of current not basedBase on the cgs unit of charge. This inconvenience is resolved by introducing the modern system of meter, kilogram, second, Coulomb (MKSQ) units. Faraday’s law of electrolysisElectrolysis is then invoked in order to determine the charge of the electron. Linear, surface, and volume charge distributions are introduced. As an example of a linear charge distribution, the electric fieldFieldelectric in the vicinity of a charged double strand DNADNA molecule is calculated. The electrostaticDipolestatic potentialPotentialelectrostatic and electric field of a point electric dipoleDipoleelectric are introduced, and the energy of interactionDipoleinteraction with another point dipole is calculated. The chapter closes with the derivation of the formula representing the electric field of the point electric quadrupole. This is supplemented by a discussion of Gauss’ lawGauss law, perfect conductorsPerfect conductor, and Legendre polynomialsLegendre polynomial, which are used to represent the electrostatic potential inCoordinatesspherical polar spherical polar coordinatesCoordinatesplane polar. The chapter ends with a proof of Earnshaw’s theorem concerning the stability of matter.