Bloch equations
E166545
The Bloch equations are a set of differential equations in nuclear magnetic resonance and quantum mechanics that describe the time evolution of nuclear magnetization in an external magnetic field.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Bloch equations canonical | 4 |
| Rabi formula for magnetic resonance | 1 |
| optical Bloch equations | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1455589 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Bloch equations Context triple: [Felix Bloch, notableWork, Bloch equations]
-
A.
Fokker–Planck equation
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
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B.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
-
C.
Maxwell's equations
Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
-
D.
Faraday effect
The Faraday effect is a magneto-optical phenomenon in which the polarization plane of light is rotated as it passes through a material under the influence of a magnetic field aligned with the direction of propagation.
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E.
Tomonaga–Schwinger equation
The Tomonaga–Schwinger equation is a relativistic generalization of the Schrödinger equation that formulates quantum field evolution on arbitrary spacelike hypersurfaces, forming a key part of covariant quantum field theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Bloch equations Target entity description: The Bloch equations are a set of differential equations in nuclear magnetic resonance and quantum mechanics that describe the time evolution of nuclear magnetization in an external magnetic field.
-
A.
Fokker–Planck equation
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
-
B.
London equations
The London equations are fundamental relations in superconductivity that describe how magnetic fields behave inside superconductors, capturing key features like the Meissner effect and zero electrical resistance.
-
C.
Maxwell's equations
Maxwell's equations are the fundamental set of four equations in classical electromagnetism that describe how electric and magnetic fields are generated and interact with charges and currents.
-
D.
Faraday effect
The Faraday effect is a magneto-optical phenomenon in which the polarization plane of light is rotated as it passes through a material under the influence of a magnetic field aligned with the direction of propagation.
-
E.
Tomonaga–Schwinger equation
The Tomonaga–Schwinger equation is a relativistic generalization of the Schrödinger equation that formulates quantum field evolution on arbitrary spacelike hypersurfaces, forming a key part of covariant quantum field theory.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
physical law
ⓘ
set of differential equations ⓘ |
| appliesTo |
electron spins
ⓘ
nuclear spins ⓘ |
| assumes |
classical description of spin precession
ⓘ
macroscopic magnetization approximation ⓘ phenomenological relaxation ⓘ |
| coordinateSystem |
laboratory frame
ⓘ
rotating frame ⓘ |
| describes |
dynamics of spin systems in magnetic fields
ⓘ
time evolution of nuclear magnetization ⓘ |
| developedBy | Felix Bloch ⓘ |
| domain | continuous time ⓘ |
| field |
nuclear magnetic resonance
ⓘ
quantum mechanics ⓘ |
| governs | magnetization vector M ⓘ |
| hasComponent |
longitudinal relaxation term
ⓘ
precession term ⓘ transverse relaxation term ⓘ |
| hasSolutionType |
exponential relaxation
ⓘ
sinusoidal precession ⓘ |
| includesParameter |
T1 relaxation time
ⓘ
T2 relaxation time ⓘ equilibrium magnetization ⓘ |
| includesVariable |
Mx component of magnetization
ⓘ
My component of magnetization ⓘ Mz component of magnetization ⓘ gyromagnetic ratio γ ⓘ magnetic field B ⓘ |
| influenced | development of NMR-based imaging techniques ⓘ |
| involves | cross product of magnetization and magnetic field ⓘ |
| mathematicalForm | first-order linear differential equations ⓘ |
| relatedTo |
Bloch–McConnell equations
ⓘ
Bloch–Torrey equation ⓘ Liouville–von Neumann equation ⓘ |
| usedFor |
analysis of relaxation processes
ⓘ
description of free induction decay ⓘ modeling of spin echo formation ⓘ simulation of NMR experiments ⓘ |
| usedIn |
electron spin resonance
ⓘ
magnetic resonance imaging ⓘ magnetic resonance pulse sequence design ⓘ nuclear magnetic resonance spectroscopy ⓘ |
| usesConcept |
Larmor precession
ⓘ
external magnetic field ⓘ magnetization vector ⓘ relaxation times ⓘ |
| yearProposed | 1946 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Bloch equations Description of subject: The Bloch equations are a set of differential equations in nuclear magnetic resonance and quantum mechanics that describe the time evolution of nuclear magnetization in an external magnetic field.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Isidor Isaac Rabi
this entity surface form:
Rabi formula for magnetic resonance
this entity surface form:
optical Bloch equations