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Formula in general relativity
quadrupole formula describes the gravitational waves that are emitted from a system of masses in terms of the (mass) quadrupole moment. The formula reads:
Quadrupole_formula
Arrangement that creates a quadrupole field of some sort
A quadrupole or quadrapole is one of a sequence of configurations of things like electric charge or current, magnetic fields, or gravitational mass that
Quadrupole
Chemical analysis technique
Nuclear quadrupole resonance spectroscopy or NQR is a chemical analysis technique related to nuclear magnetic resonance (NMR). Unlike NMR, NQR transitions
Nuclear_quadrupole_resonance
Topics referred to by the same term
Canadian mining company Quadrupole ion trap Quantum information theory Queensland University of Technology Q = It, the formula describing charge in terms
QIT
Double pulsar in the constellation Puppis
decay and the speedup of the orbital period was tested to follow the quadrupole formula with a great precision of 0.013% mainly because of the unique characteristics
PSR_J0737−3039
Radiation description framework
Spherical harmonics Vector spherical harmonics Near and far field Quadrupole formula Hartle, James B. (2003). Gravity: An Introduction to Einstein's General
Multipole_radiation
Aspect of relativity in physics
gravitational wave's amplitude also varies with time according to Einstein's quadrupole formula. As with other waves, there are a number of characteristics used to
Gravitational_wave
Statement of spherically symmetric spacetimes
to the Einstein field equations Shell theorem in Newtonian gravity Quadrupole formula Israel, Werner (25 December 1967). "Event Horizons in Static Vacuum
Birkhoff's theorem (relativity)
Birkhoff's_theorem_(relativity)
American physicist
convergent. They then used it to prove rigorously that the standard "quadrupole formula" for the emission of gravitational waves applies even if the sources
Bernard_F._Schutz
internal constitution of the stars. 1918 – Albert Einstein derives the quadrupole formula for gravitational radiation. 1918 – Emmy Noether publishes Noether's
Timeline of gravitational physics and relativity
Timeline_of_gravitational_physics_and_relativity
Thought experiment in physics
famous quadrupole formula quantifying the rate at which such radiation should carry away energy. Examples of systems with time varying quadrupole moments
Sticky_bead_argument
German physicist
theory such as general relativity, pointing out that the standard quadrupole formula for the energy flux for systems like the binary pulsar had not (yet)
Jürgen_Ehlers
Spectroscopic technique
electron densities (also called the chemical shift in older literature), quadrupole splitting due to atomic-scale electric field gradients; and magnetic splitting
Mössbauer_spectroscopy
Analytical technique based on determining mass to charge ratio of ions
mass spectrometers. The quadrupole mass filter is closely related to the quadrupole ion trap, particularly the linear quadrupole ion trap except that it
Mass_spectrometry
Solid consisting of discrete molecules
molecules together are van der Waals forces, dipole–dipole interactions, quadrupole interactions, π–π interactions, hydrogen bonding, halogen bonding, London
Molecular_solid
Two circular coil device which creates a homogeneous magnetic field
{\displaystyle 4\pi \times 10^{-7}{\text{ T}}\cdot {\text{m/A}}} ). Start with the formula for the on-axis field due to a single wire loop which is itself derived
Helmholtz_coil
Analytical method
matrix background. The first quadrupole (Q1) is connected with a collision cell (Q2) and another quadrupole (Q3). Both quadrupoles can be used in scanning
Gas chromatography–mass spectrometry
Gas_chromatography–mass_spectrometry
Property of a charged particle beam
passes through the quadrupole(s) are described using the transfer matrix R {\displaystyle R} of the beam line, including the quadrupole(s) and other beam
Beam_emittance
of the nucleus originated in 1939 in the spectroscopic analysis of the quadrupole moments while the prolate spheroid shape of the nucleon arises from analysis
Shape_of_the_atomic_nucleus
Organic compound that consists only of carbon, hydrogen, and oxygen
quadrupole (QqQ) instrument, which is set to detect a predetermined precursor ion in the first quadrupole, a fragmented in the collision quadrupole,
Carbohydrate
Chemical compound
acid from phosphopeptides as exemplified by nano-electrospray ionization quadrupole time-of-flight parent ion scanning". Rapid Communications in Mass Spectrometry
Iodoacetamide
Chemical compound
Style Sauces Using QuEChERS Extraction and Gas Chromatography–Triple Quadrupole Mass Spectrometry". Journal of Agricultural and Food Chemistry. 65 (4):
1,3-Dichloropropan-2-ol
Class of drugs
2-Benzylbenzimidazole Nitazene Analogs by Liquid Chromatography-Tandem Quadrupole Mass Spectrometry (LC-QQQ-MS)". Journal of Analytical Toxicology. 46 (3):
Nitazenes
Chemical compound
1515/znb-1983-0802. ISSN 1865-7117. Nakamura, Daiyu; Kubo, Masaji (1 May 2002). "Pure Quadrupole Resonance of Halogens in Some R2[MX6] Type Complexes". ACS Publications
Ammonium hexaiodoplatinate(IV)
Ammonium_hexaiodoplatinate(IV)
Spectral line splitting in magnetic field
resulting in the Breit–Rabi formula (named after Gregory Breit and Isidor Isaac Rabi). Notably, the electric quadrupole interaction is zero for L = 0
Zeeman_effect
Magnetic moment of an atomic nucleus
the protons and neutrons. It is mainly a magnetic dipole moment; the quadrupole moment does cause some small shifts in the hyperfine structure as well
Nuclear_magnetic_moment
Group of isomeric chemical compounds which are strong bases
isomer is the third-strongest. These dianions were generated in a linear quadrupole ion-trap mass spectrometer. Electrospray ionization (ESI) of the diacid
Diethynylbenzene_dianion
Chemical compound
(1975). "Structural study of phosphoryl bromide by means of nuclear quadrupole resonance". Inorganic Chemistry. 14 (5): 1207–1209. doi:10.1021/ic50147a048
Phosphoryl_bromide
Chemical compound
Fe2(C2O4)3 · 4 H2O exhibits a doublet with an isomer shift of 0.38 mm/s, and a quadrupole splitting of 0.40 mm/s, suggesting a high spin Fe3+ in distorted octahedral
Ferric_oxalate
Spectral density of light emitted by a black body
that the rate of transition formula depends on dipole moment operator. For higher order approximations, it involves quadrupole moment and other similar terms
Planck's_law
Mass spectrometry software
devices such as Q-TOF, IT-TOF or IT-Orbitrap. Spectra measured with a quadrupole or linear trap do not provide the required accuracy for data analysis
SIRIUS_(software)
Fire-resistant chemical used in dinnerware, insulation, and cleaning products
Melamine /ˈmɛləmiːn/ is an organic compound with the formula C3H6N6. This white solid is a trimer of cyanamide, with a 1,3,5-triazine skeleton. Like cyanamide
Melamine
Chemical data page
The Microwave Spectra, Structure, Dipole Moment, and Chlorine Nuclear Quadrupole Coupling Constants of Methylene Chloride Rollie J. Myers and William D
Dichloromethane_(data_page)
Major metabolite of the psychostimulant drug methylphenidate
vitro metabolites of ethylphenidate by liquid chromatography coupled to quadrupole time-of-flight mass spectrometry". Journal of Pharmaceutical and Biomedical
Ritalinic_acid
Proposed quantum computer implementation
standards-meeting compact trapped-ion quantum computer. The electrodynamic quadrupole ion trap now used in trapped-ion quantum computing research was invented
Trapped-ion_quantum_computer
Chemical compound
with a single ring, and a formula of C17H21O2. Further significant peaks appear at m/z's of 217 and 243, corresponding to formulas of C13H15O2 and C15H19O2
Sugiol
Chemical compound
; Favero, P. G.; Dal Borgo, A. (1974). "Molecular Structure, Nuclear Quadrupole Coupling Constant and Dipole Moment of Nitrogen Trichloride from Microwave
Nitrogen_trichloride
opposing charges brought close together and a quadrupole to two dipoles brought together. A quadrupole field is shown in the lower figure on the right
Earth's_magnetic_field
Chemical compound – an oxide of copper with formula Cu2O
is the narrowest bulk exciton resonance ever observed. The associated quadrupole polaritons have low group velocity approaching the speed of sound. Thus
Copper(I)_oxide
Magnetic analogue of the electric dipole
a dipole with the same dipole moment. For higher-order sources (e.g. quadrupoles) with no dipole moment, their field decays towards zero with distance
Magnetic_dipole
Pairs of molecules with same chemical formula showing different spatial orientations
molecule has a net zero dipole moment (it does however have a non-zero quadrupole moment). The differing properties of the two isomers of butenedioic acid
Cis–trans_isomerism
Chemical compound
solubility inhibits growth of crystals. The Mößbauer spectrum reveals one quadrupole doublet, consistent with the D3h-symmetric structure. Fe2(CO)9 is a precursor
Diiron_nonacarbonyl
Minimum energy required to separate particles within a nucleus
repulsion decreases to 10 N) would attract the neutron only for an electric quadrupole (− + + −) arrangement. Higher multipoles, needed to satisfy more protons
Nuclear_binding_energy
Force that acts between the protons and neutrons of atoms
to the discovery in 1939 that the deuteron also possessed an electric quadrupole moment. This electrical property of the deuteron had been interfering
Nuclear_force
Device for storing charged particles
storage of charged particles using a homogeneous magnetic field and a quadrupole electric field. It is mostly found in the physical sciences and related
Penning_trap
Spectroscopic technique based on change of nuclear spin state
the nucleus may also be excited in zero applied magnetic field (nuclear quadrupole resonance). In the dominant chemistry application, the use of higher fields
Nuclear_magnetic_resonance
Force due to magnetic field
field can be expressed as a multipole expansion: A dipole field, plus a quadrupole field, plus an octopole field, etc. in the Ampèrian loop model, but this
Force_between_magnets
Isotope of hydrogen with one neutron
2 state. The electric dipole is zero as usual. The measured electric quadrupole of the deuterium is 0.2859 e·fm2. While the order of magnitude is reasonable
Deuterium
Solution of Einstein field equations
multipole moments, such as an electric quadrupole moment. However, no experimental measurements of such a quadrupole moment have been reported. Newman, Ezra;
Kerr–Newman_metric
Trace radiation from the early universe
directions create polarizations that cancel out. If the incoming radiation has quadrupole anisotropy, residual polarization will be seen. Other than the temperature
Cosmic_microwave_background
Chemical compound
Hexahalostannates(IV) and Ammonium Hexachloroplumbate(IV) Studied by the Pure Quadrupole Resonance of Halogens". Bulletin of the Chemical Society of Japan. 36
Ammonium_hexachloroplumbate
Chemical compound
2-Benzylbenzimidazole Nitazene Analogs by Liquid Chromatography-Tandem Quadrupole Mass Spectrometry (LC-QQQ-MS)". Journal of Analytical Toxicology. 46 (3):
Protonitazene
Chemical compound
"Phase transitions in some hexahalostannates(IV) as revealed by the pure quadrupole resonance of halogens". Journal of Magnetic Resonance. 3 (1): 76–83. Bibcode:1970JMagR
Ammonium hexabromostannate(IV)
Ammonium_hexabromostannate(IV)
to SIFT-MS no mass filter is interconnected) and an analyzing system (quadrupole mass analyzer or time-of-flight mass spectrometer). Commercially available
Proton-transfer-reaction mass spectrometry
Proton-transfer-reaction_mass_spectrometry
Chemical compound
Imidazole (ImH) is an organic compound with the formula (CH)2NHCHN. It is a white or colourless solid that is soluble in water, producing a mildly alkaline
Imidazole
Measure of positive and negative charges
{\displaystyle {\tfrac {d}{R}}} (see Multipole expansion and Quadrupole § Electric quadrupole) expresses this potential as a series. V ( R ) = 1 4 π ε
Electric_dipole_moment
Chemical compound
; Lide, David R. (July 1969). "Microwave Spectrum, Dipole Moment, and Quadrupole Coupling Constant of Trifluoramine Oxide". The Journal of Chemical Physics
Trifluoramine_oxide
Scientific analytical tool
The digital ion trap (DIT) is an quadrupole ion trap driven by digital signals, typically in a rectangular waveform, generated by switching rapidly between
Digital_ion_trap
Chemical compound
"The Structure of Solid Copper(I) Cyanide: A Multinuclear Magnetic and Quadrupole Resonance Study". Journal of the American Chemical Society. 121 (7): 1582–1590
Copper(I)_cyanide
Mathematical objects more general than vectors
dipole and quadrupole moments typically appear because fundamental concepts of physics are associated precisely with them. Dipole and quadrupole moments
Harmonic_tensors
Stimulant drug
α-pyrrolidinohexiophenone (α-PHP) in human urine by liquid chromatography quadrupole time-of-flight mass spectrometry (LC-QTOF-MS)". Journal of Mass Spectrometry
Α-Pyrrolidinohexiophenone
Chemical compound
Gayton, T.R.; Rego, C.A. (November 1988). "Microwave spectrum, structure, quadrupole coupling constant and dipole moment of chlorotrifluorosilane and iodotrifluorosilane"
Chlorotrifluorosilane
Chemical compound
form within days. The two forms are distinguished by their difference in quadrupole splitting from their Mössbauer spectra. Anhydrous iron(III) fluoride is
Iron(III)_fluoride
Chemical compound
; Blaha, P.; Andersen, P., "Structure, Chemical Bonding, and Nuclear Quadrupole Interactions of β-Cd(OH)2: Experiment and First Principles Calculations"
Cadmium_hydroxide
Chemical compound
structure came from Mössbauer spectroscopic measurements that revealed two quadrupole doublets with similar isomer shifts but different (1.13 and 0.13 mm s−1)
Triiron_dodecacarbonyl
Soviet physicist (1911–1991)
quantitatively described important properties of nuclei — magnetic and quadrupole moments, isotopic shift, radiative transitions, and giant resonance in
Arkady_Migdal
In physics, proton and neutron magnetism
to the discovery in 1939 that the deuteron also possessed an electric quadrupole moment. This electrical property of the deuteron had been interfering
Nucleon_magnetic_moment
Technique for the investigation of nucleic acids and its modifications
enzymes such as benzonase, NP1 and CIP are used. Typically, a triple quadrupole in MRM mode is used for the measurements. How the labeling of RNA molecules
NAIL-MS
Quantities describing probability of absorption or emission of light
that the rate of transition formula depends on dipole moment operator. For higher order approximations, it involves quadrupole moment and other similar terms
Einstein_coefficients
Pigment, aluminium salt of carminic acid
chromatography and a diode array detector combined with a mass spectrometer with a quadrupole-time-of-flight analyzer (LC-DAD-QTOF). The process is used for identifying
Carmine
Chemical element with atomic number 17 (Cl)
distribution and thus resonance broadening as a result of a nonzero nuclear quadrupole moment and resultant quadrupolar relaxation. The other chlorine isotopes
Chlorine
Activation energy required for a nucleus of an atom to undergo fission
spherical drops, respectively, and α 2 {\displaystyle \alpha _{2}} is the quadrupole distortion parameter. When the changes in the Coulomb and surface energies
Fission_barrier
Measurement method in nuclear physics
{eQV_{zz}}{4I(2I-1)}}\cdot 3|M^{2}-M'^{2}|} The quadrupole frequency ω Q {\displaystyle \omega _{Q}} is introduced. The formulas in the colored frames are important
Perturbed_angular_correlation
Chemical compound
Richard J.; Bateman, Linda R. (1972). "Solid-state structure, nuclear quadrupole resonance spectrum, and the resultant symmetry implications for tetrachloroiodic
Tetrachloroiodic_acid
Foam used for fire suppression
Surfactants Tentatively Identified in Firefighters Using Liquid Chromatography Quadrupole Time-of-Flight Tandem Mass Spectrometry and a Case-Control Approach".
Firefighting_foam
Extension of the scalar spherical harmonics for use with vector fields
Wittmann, R. C. (1988). "Spherical wave operators and the translation formulas". IEEE Transactions on Antennas and Propagation. 36 (8): 1078–1087. Bibcode:1988ITAP
Vector_spherical_harmonics
Chemical element with atomic number 7 (N)
theoretically usable, has an integer nuclear spin of one and thus has a quadrupole moment that leads to wider and less useful spectra. 15N NMR nevertheless
Nitrogen
Theory of molecular orbitals by Erich Hückel
an example. Transition electric dipole, magnetic dipole and electric quadrupole moments interactions result in optical rotation(OR), which can be described
Hückel_method
Constant in crystallography
multipole concept that also includes higher multipole moments like dipoles, quadrupoles etc. These concepts require the determination of higher order Madelung
Madelung_constant
Branch of molecular spectroscopy
electric-dipole-forbidden and the molecules are infrared inactive. However, a weak quadrupole-allowed spectrum of N2 can be observed when using long path-lengths both
Rotational–vibrational spectroscopy
Rotational–vibrational_spectroscopy
Set of quantities in accelerator physics
strong focusing accelerator, transverse focusing is primarily provided by quadrupole magnets. The linear equation of motion for transverse motion parallel
Courant–Snyder_parameters
Pharmaceutical compound
al.64 recently developed and validated a liquid chromatography triple quadrupole tandem mass spectrometry (LC-MS/MS) method for the quantification of LSD
13-Hydroxy-LSD
Technique of electroplating
Surfactants Tentatively Identified in Firefighters Using Liquid Chromatography Quadrupole Time-of-Flight Tandem Mass Spectrometry and a Case-Control Approach".
Chrome_plating
Designer drug with opioid effects
2-Benzylbenzimidazole Nitazene Analogs by Liquid Chromatography-Tandem Quadrupole Mass Spectrometry (LC-QQQ-MS)". Journal of Analytical Toxicology. 46 (3):
Flunitazene
Physical constant equal to the speed of light
the displaced particle's absence: accelerations due to the change in quadrupole moment of star systems, like the Hulse–Taylor binary, have removed much
Speed_of_gravity
Chemical compound
Ogata T, Kuwano S, Oe S (September 1997). "Microwave Spectrum, Nuclear Quadrupole Coupling Constants, and Structure of Bromodifluoromethane". J Mol Spectrosc
Bromodifluoromethane
cup Microchannel plate detector with Faraday cup Quadrupole mass analyzer with Faraday cup Quadrupole mass analyzer with microchannel plate detector and
Pressure_measurement
Chemical compound
; Bateman, Linda R. (February 1972). "Solid-state structure, nuclear quadrupole resonance spectrum, and the resultant symmetry implications for tetrachloroiodic
Iodine_trichloride
Study of electromagnetic radiation absorbed/emitted by atoms
Learning by Simulations – various atomic absorption and emission spectra Atomic Spectroscopy: A Compendium of Basic Ideas, Notation, Data, and Formulas
Atomic_spectroscopy
Seventh planet from the Sun
; Geballe, T. R.; Tennyson, J.; Ballester, G. E. (October 1999). "H2 Quadrupole and H3+ Emission from Uranus: The Uranian Thermosphere, Ionosphere, and
Uranus
Tensor operator generalizes the notion of operators which are scalars and vectors
operators. An example of a tensor quantity (of rank two) is the electrical quadrupole moment of the above molecule. Likewise, the octupole and hexadecapole
Tensor_operator
Representation of angular momentum tensor product states important to physics
theory of harmonic oscillators (II). The integrals of Motion for the quadrupole-quadrupole interaction". Nuclear Physics. 23: 177–199. Bibcode:1961NucPh..23
Clebsch–Gordan coefficients for SU(3)
Clebsch–Gordan_coefficients_for_SU(3)
Superconducting intermetallic compound
tonnes of NbTi strands. At the Large Hadron Collider at CERN, extra-strong quadrupole magnets (for focussing beams) made with niobium–tin are being installed
Niobium–tin
Chemical compound
2-Benzylbenzimidazole Nitazene Analogs by Liquid Chromatography-Tandem Quadrupole Mass Spectrometry (LC-QQQ-MS)". Journal of Analytical Toxicology. 46 (3):
N-Desethylisotonitazene
Special function occurring in problems possessing elliptic symmetry
phenomenon of parametric resonance in forced oscillators motion of ions in a quadrupole ion trap the Stark effect for a rotating electric dipole the Floquet theory
Mathieu_function
Chemical compound
Suhara, Masahiko (April 1973). "The Temperature Dependence of the Nuclear Quadrupole Resonance of 35Cl in KClO3, AgClO3, Ba(ClO3)2·H2 O, and Cu(ClO3) 2·6H2O"
Copper(II)_chlorate
Class of bodybuilding supplement
AG, Wang YH, Wang M, Khan IA (September 2019). "Liquid chromatography-quadrupole time of flight mass spectrometric method for targeted analysis of 111
Pre-workout
Object that has a magnetic field
involve configurations more than a simple magnetic dipole; for example, quadrupole and sextupole magnets are used to focus particle beams. For many disciplines
Magnet
Concept in the physics of electromagnetism
dipole (represented by two equal and opposite magnetic poles), and the quadrupole (represented by four poles that together form two equal and opposite dipoles)
Magnetic_moment
Chemical compound
Retrieved 3 June 2015. Bailey, W. C.; Story, H. S. (1973). "Nuclear quadrupole coupling of 115In in NH4In(SO4)2 · 12 H2O". The Journal of Chemical Physics
Indium(III)_sulfate
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QUADRUPOLE FORMULA
QUADRUPOLE FORMULA
Boy/Male
Hindu, Indian
King of Enchanting Formulas
QUADRUPOLE FORMULA
QUADRUPOLE FORMULA
QUADRUPOLE FORMULA
QUADRUPOLE FORMULA
QUADRUPOLE FORMULA
QUADRUPOLE FORMULA
QUADRUPOLE FORMULA
imp. & p. p.
of Quadruple
a. & adv.
Four times; quadruple; as, a fourfold division.
v. t.
To reduce to a forula; to formulate.
v.
Times or repetitions; -- used with numerals, chiefly in composition, to denote multiplication or increase in a geometrical ratio, the doubling, tripling, etc., of anything; as, fourfold, four times, increased in a quadruple ratio, multiplied by four.
adv.
To a fourfold quantity; so as to be, or cause to be, quadruple; as, to be quadruply recompensed.
v. t.
To make fourfold; to double twice; to quadruple.
n.
four times the sum or number; a fourfold amount; as, to receive to quadruple of the amount in damages.
v. t.
To reduce to, or express in, a formula; to put in a clear and definite form of statement or expression.
n.
The act, process, or result of formulating or reducing to a formula.
a.
Fourfold; folded or doubled twice.
n.
Prescribed form or model; formula.
imp. & p. p.
of Formulate
v. t.
To multiply by four; to increase fourfold; to double; to double twice.
v. i.
To be multiplied by four; to increase fourfold; to become four times as much.
n.
A book containing stated and prescribed forms, as of oaths, declarations, prayers, medical formulaae, etc.; a book of precedents.
a.
Fourfold; as, to make quadruple restitution; a quadruple alliance.
p. pr. & vb. n.
of Quadruple
p. pr. & vb. n.
of Formulate
v. t.
To make four times as much or as many, as an assessment,; to quadruple.
pl.
of Formulary
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