exact exchange

USAGE SUMMARY

The phrase "exact exchange" is correct and usable in written English.
It can be used when referring to a situation where two parties trade items or services of equal value. Example: "In our agreement, we ensured that there would be an exact exchange of goods to maintain fairness."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

17 human-written examples

The role of exact exchange.

Nature

iii. the role of exact exchange.

Nature

3. The role of exact exchange.

Nature

The results are also compared with that of the exact exchange formalism by considering it as the standard.

Physica E: Low-dimensional Systems and Nanostructures

Focusing on the performance of time-dependent density functional theory but using also the ab initio CIS(D), CC2 and CASPT2 methods, we explore how various methodological considerations influence computed spectra and find, somewhat surprisingly, that density functionals lacking exact exchange reproduce the experimental measurements with smaller errors than functionals that include exact exchange.

Chemical Physics

In this work, several pure and hybrid functionals were examined on N@C60 to study the amount of Hartree Fock exact exchange effect in magnetic exchange coupling constant values.

Synthetic Metals

Human-verified similar examples from authoritative sources

Similar Expressions

43 human-written examples

Hybrid functionals (TPSSh, B3LYP, PBE0) overestimate the experimental reduction potentials: the larger the exact-exchange contribution, the larger the resulting reduction potential.

Electrochimica Acta

These are constructed by mixing a fraction of Hartree-Fock exact-exchange with the exchange and correlation terms from some underlying DFT functional.

Nanoscale Research Letters

In a hybrid functional, some proportion of the local exchange-correlation potential is replaced by Hartree-Fock exact-exchange terms, giving a better description of electronic properties.

Nanoscale Research Letters

To evalutate the self-consistent fraction of Hartree-Fock exact-exchange, α, the dielectric function ε ∞ is calculated in an iterative series of full geometry optimisations.

Nanoscale Research Letters

The PBE0 functional adds a fixed proportion of Hartree-Fock exact-exchange (α=0.25) and produces structural properties in much better agreement with experimental data.

Nanoscale Research Letters

Expert writing Tips

Best practice

In business negotiations or contractual agreements, specify "exact exchange" terms to avoid ambiguities and ensure mutual understanding of the value being transferred by each party.

Common error

A common mistake is to assume "exact exchange" implies a universally agreed-upon value. Clearly define the metrics for equivalence relevant to the specific context to avoid disputes.

Linguistic Context

The phrase "exact exchange" primarily functions as a noun phrase, often acting as a subject, object, or complement within a sentence. As Ludwig AI indicates, the phrase is grammatically sound and used to describe a precise and equal transaction or interaction. Examples from Ludwig illustrate its usage in both scientific and general contexts.

Expression frequency: Rare

Frequent in

Science

50%

News & Media

50%

Formal & Business

0%

Less common in

Academia

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "exact exchange" functions as a noun phrase used to describe a precise and equal transaction or interaction. Ludwig AI confirms its grammatical correctness. Its usage is rare, primarily appearing in science and news media, suggesting a neutral formality level. While synonyms like "precise interchange" and "equivalent trade" exist, "exact exchange" emphasizes a strict adherence to equivalence. When employing this phrase, define the criteria for 'exactness' to prevent ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

precise interchange

Emphasizes the accuracy and detail of the exchange process.

accurate reciprocation

Highlights the mutual and balanced nature of the exchange.

identical transaction

Focuses on the sameness and equivalence of what is being exchanged.

equivalent trade

Stresses the equal value between the items or services being exchanged.

commensurate exchange

Implies the exchange is proportional and balanced.

direct substitution

Highlights the replacement aspect with something of the same type or value.

strict equivalence

Underscores the unwavering adherence to equal value in the exchange.

mirror exchange

Suggests a perfect reflection of what is given and received.

precise swap

Highlights the accuracy of the change.

perfect match exchange

Focuses on the idea of perfect correspondence and compatibility in the trade.

FAQs

How can I use "exact exchange" in a sentence?

You can use "exact exchange" to describe situations where items or services of equal value are traded, as in: "The contract stipulated an "exact exchange" of goods to ensure fairness."

What are some alternatives to saying "exact exchange"?

Alternatives include "precise interchange", "equivalent trade", or "identical transaction", depending on the specific nuance you want to convey.

In what contexts is it appropriate to use "exact exchange"?

"Exact exchange" is typically used in formal or technical contexts, such as scientific research, business agreements, or economic discussions, where precision and equivalence are crucial.

What's the difference between "exact exchange" and "fair exchange"?

"Exact exchange" emphasizes the precise equivalence of what is being traded, while "fair exchange" focuses on the perceived justness or equity of the trade, which may be subjective.