Bloch–McConnell equations
E646669
The Bloch–McConnell equations are an extension of the Bloch equations that describe nuclear magnetic resonance (NMR) signal evolution in systems with chemical exchange between different spin populations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Bloch–McConnell equations canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7145248 — 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–McConnell equations Context triple: [Bloch equations, relatedTo, Bloch–McConnell equations]
-
A.
Bloch–Torrey equation
The Bloch–Torrey equation is an extension of the Bloch equations that incorporates diffusion effects to describe the evolution of nuclear magnetization in magnetic resonance imaging and NMR.
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B.
Bloch equations
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.
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C.
Karplus equation for NMR coupling constants
The Karplus equation for NMR coupling constants is an empirical relationship that links three-bond scalar coupling values between nuclei to the dihedral angle between them, enabling the determination of molecular conformations from NMR data.
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D.
Bhabha–Corben equations
The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
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E.
Wiener–Hopf equations
Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
- 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–McConnell equations Target entity description: The Bloch–McConnell equations are an extension of the Bloch equations that describe nuclear magnetic resonance (NMR) signal evolution in systems with chemical exchange between different spin populations.
-
A.
Bloch–Torrey equation
The Bloch–Torrey equation is an extension of the Bloch equations that incorporates diffusion effects to describe the evolution of nuclear magnetization in magnetic resonance imaging and NMR.
-
B.
Bloch equations
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.
-
C.
Karplus equation for NMR coupling constants
The Karplus equation for NMR coupling constants is an empirical relationship that links three-bond scalar coupling values between nuclei to the dihedral angle between them, enabling the determination of molecular conformations from NMR data.
-
D.
Bhabha–Corben equations
The Bhabha–Corben equations are relativistic wave equations in quantum electrodynamics that describe the dynamics of spinning charged particles, developed by physicists Homi J. Bhabha and H. C. Corben.
-
E.
Wiener–Hopf equations
Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
NMR theory
ⓘ
mathematical model ⓘ system of differential equations ⓘ |
| appliesTo |
multi-pool magnetization models
ⓘ
multiple spin populations ⓘ systems with chemical exchange ⓘ two-pool magnetization models ⓘ |
| assumes | first-order chemical exchange kinetics ⓘ |
| basedOn |
Bloch equations formalism
ⓘ
linked to:
Bloch equations
|
| characteristic |
coupled differential equations for each exchanging site
ⓘ
matrix representation of magnetization and exchange ⓘ |
| describes |
NMR signal evolution
ⓘ
chemical exchange between spin populations ⓘ exchange broadening of NMR lines ⓘ magnetization dynamics in exchanging systems ⓘ multi-site chemical exchange ⓘ relaxation in exchanging spin systems ⓘ two-site chemical exchange ⓘ |
| domain | theoretical NMR spectroscopy ⓘ |
| extends | Bloch equations ⓘ |
| field |
chemical physics
ⓘ
magnetic resonance imaging ⓘ magnetic resonance spectroscopy ⓘ nuclear magnetic resonance ⓘ physical chemistry ⓘ spin dynamics ⓘ |
| includes |
chemical exchange rate constants
ⓘ
longitudinal relaxation terms ⓘ off-diagonal exchange terms in the magnetization matrix ⓘ transverse relaxation terms ⓘ |
| language | mathematics ⓘ |
| namedAfter |
Felix Bloch
ⓘ
Harden M. McConnell ⓘ |
| relatedTo |
Bloch equations
ⓘ
Bloch–Torrey equations ⓘ
linked to:
Bloch–Torrey equation
Redfield theory ⓘ |
| relates |
observed NMR line shapes to exchange rates
ⓘ
observed relaxation to exchange processes ⓘ |
| usedFor |
analysis of saturation transfer experiments
ⓘ
chemical exchange saturation transfer (CEST) modeling ⓘ dynamic NMR studies ⓘ exchange spectroscopy (EXSY) analysis ⓘ interpretation of NMR line shapes ⓘ magnetization transfer contrast modeling ⓘ quantitative analysis of exchange rates ⓘ |
| usedIn |
biomolecular NMR
ⓘ
in vivo spectroscopy ⓘ magnetic resonance imaging research ⓘ solid-state NMR ⓘ solution-state NMR ⓘ |
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–McConnell equations Description of subject: The Bloch–McConnell equations are an extension of the Bloch equations that describe nuclear magnetic resonance (NMR) signal evolution in systems with chemical exchange between different spin populations.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.