A quadrupole or quadrapole is one of a sequence of configurations of things like electric charge or current, or gravitational mass that can exist in ideal form, but it is usually just part of a multipole expansion of a more complex structure reflecting various orders of complexity.

The system possesses what is known as a quadrupole moment. While a single charge is a scalar quantity, and a dipole moment is a vector quantity, the quadrupole moment is a second order symmetric tensor.

May 13, 2024 · 𝑄 Ü Ý is called the “quadrupole moment,” also the “quadrupole moment tensor.” It is a collection of nine numbers (𝑖 and 𝑗 each can be 𝑥, 𝑦, 𝑧) which can be written as a 3×3 matrix, just like 𝐩 can be written as a 3-element vector.

Operated with U = 0, quadrupole becomes a broad filter Such “RF-only” quads are an important tool for transferring ions between regions of mass spectrometers.

…of focusing magnet is a quadrupole, a magnet built with four poles (two norths and two souths) arranged opposite each other. This arrangement pushes particles toward the centre in one direction but allows them to spread in the perpendicular direction.

The quadrupole moment is a measure of the deviation of an object's charge distribution from spherical symmetry. It is a higher-order multipole moment that describes the degree to which an object's charge distribution departs from a perfect sphere or point charge.

While a single charge is a scalar quantity, and a dipole moment is a vector quantity, the quadrupole moment is a second order symmetric tensor. It has no net charge and no net dipole moment. Unlike a dipole, it will experience neither a net force nor a net torque in any uniform field.

The meaning of QUADRUPOLE is a system composed of two dipoles of equal but oppositely directed moment.

In general relativity, the quadrupole formula describes the rate at which gravitational waves are emitted from a system of masses based on the change of the (mass) quadrupole moment. The formula reads

May 29, 2024 · A quadrupole moment is a measure of the second order (quadratic) distribution of a physical quantity (like charge or mass) away from its center. To understand this, imagine breaking down the arrangement of charge or mass within …