LIMITS OF SMALL SCALE PRESSURE SWING ADSORPTION

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moment. Molecules may also exhibit higher order charge distribution. For example, a quadrupole signifies an effective charge difference at four points in the molecule and an octupole signifies an effective charge difference at eight points in the molecule.17 For oxygen generation via air separation, the difference between quadrupoles of N2 and O2 is exploited (see Table 3.1). 3.1.2 Induction and Dispersion Forces Intermolecular interactions also take the form of induction forces when electrons of a molecule become disturbed in an electrical field. The molecule (polar or non-polar) essentially gains an instantaneous charge distribution from the electrical field of another polar (or quadrupolar) molecule or ion in the immediate vicinity; hence the name “induced” electrostatic interaction. This causes the molecules to experience an attractive force with polar (or quadrupolar) molecules or ions. The ease with which electrons are dislocated in a molecule is called polarizability, α, of the molecule. Accordingly, induced electrostatic interactions are a strong function of polarizability.17 Finally, intermolecular interactions also occur due to instantaneous coupling of electron clouds of two molecules approaching each other. This type of interaction, called a dispersion force, exists for all molecules in nature, even if the molecules are non-polar since the effective charge distribution for a non-polar molecule is only zero when averaged over time. At any given instant, the molecule (polar or nonpolar) has a momentary dipole moment capable of inducing an effective charge distribution on a neighboring molecule. Hence, electrons in the interacting molecules essentially move in tandem resulting in a net attractive (negative) potential energy. The ionization potential 32

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