attained an equilibrium

USAGE SUMMARY

The phrase "attained an equilibrium" is correct and usable in written English.
It can be used when discussing a state of balance or stability that has been reached in a particular context, such as in science, economics, or personal situations. Example: "After several months of negotiation, the two parties finally attained an equilibrium in their agreement."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

The results showed that the drainage of the liquid film initially took place quickly and then slowly attained an equilibrium thickness.

Chemical Engineering Science

When the Meta I state is attained, an equilibrium between Meta I and Meta II states develops, which is dependent upon pH and temperature, with lower pH and higher temperature favoring Meta II.

Chemical Reviews

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

For a system of ordinary differential equations (ODE) with continuous right-hand side, any solutions cannot attain an equilibrium in a finite time.

Advances in Difference Equations

To attain an equilibrium solution with only incomplete information in a distributed setting, we have proposed a distributed learning automata algorithm.

EURASIP Journal on Wireless Communications and Networking

After attaining an equilibrium process, the biosorbent gets separated from samples using Whatman filter No. 41 and microorganism separated by centrifuge at 10,000 rpm.

Applied Water Science

After the spoofing signal enters the code loop, the code loop attains an equilibrium state at t1. Assume that at t0 and t1, the code phase difference between an authentic signal and a spoofing signal is τ0 and stabilizes.

EURASIP Journal on Wireless Communications and Networking

The acceleration factor was set to 10000 [ 126], which is sufficiently large to attain an equilibrium in the CO2+H2O↔H++ reaction.

BMC Physiology

Variation within blocks will attain an equilibrium value between Θ and 2Θ, which will depend on IGC and crossover rates.

G3: Genes, Genomes, Genetics

Based on the model for an infinite panmictic population [ 14], an infection with these parameters is selectively favoured when its frequency exceeds the invasion threshold of p it = 0.13 and will attain an equilibrium frequency of p e = 0.94.

BMC Evolutionary Biology

Accordingly, for the current studies, constructs were allowed to attain an equilibrium Young's modulus (EY) of at least approximately 100 kPa (for bovine) and approximately 150 kPa (for canine) before the application of any cytokine.

Arthritis Research and Therapy

Thus, in each year t the resource density quickly attains an equilibrium, (12) A brook charr with mass W grows according to the instantaneous growth equation (e.g., West et al. 2001) (13) where δ describes the brook charr's metabolic rate.

Evolutionary Applications

Expert writing Tips

Best practice

When describing dynamic systems, use "attained an equilibrium" to emphasize that the system has reached a stable point after a period of change or adjustment. This highlights the process of reaching balance rather than simply stating that it is balanced.

Common error

Avoid using "attained an equilibrium" when you mean to describe a system that is already in a state of balance and needs to be kept that way. "Attained" implies reaching a state, while "maintain" implies preserving an existing one. Instead use something like "maintaining equilibrium" or "preserving balance".

Linguistic Context

The phrase "attained an equilibrium" functions as a descriptor, typically used in scientific and technical contexts to denote the achievement of a balanced state. Ludwig AI confirms that it is grammatically correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

80%

Encyclopedias

10%

News & Media

10%

Less common in

Formal & Business

0%

Social Media

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "attained an equilibrium" is a grammatically correct and semantically sound expression used to describe the achievement of a balanced state. As Ludwig AI confirms, it is most frequently found in scientific contexts, implying a formal and analytical register. When writing, remember that "attained" suggests a process of reaching equilibrium, and be careful not to confuse it with "maintain", which describes preserving an existing balance. Alternatives such as "reached a state of equilibrium" or "achieved balance" can provide variety while maintaining clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Reached a state of equilibrium

This alternative replaces "attained" with "reached" and uses "a state of" for added emphasis on the condition of equilibrium.

Achieved balance

This alternative simplifies the phrase using "achieved" instead of "attained" and "balance" instead of "equilibrium", focusing on the outcome.

Arrived at equilibrium

This option uses "arrived at" which implies a process leading to the state of equilibrium.

Established a stable state

This phrase shifts the focus to the stability aspect of equilibrium, using "established" to denote the creation of this state.

Settled into equilibrium

This alternative suggests a more gradual process of reaching equilibrium, using "settled into" to convey the idea of adjustment.

Found equilibrium

This alternative suggests discovering a state of equilibrium, using "found" to convey the idea of identifying the balance.

Gained equilibrium

This alternative suggests obtaining a state of equilibrium, using "gained" to convey the idea of acquiring the balance.

Stabilized

This is a more concise alternative, implying that the system has reached a stable condition without explicitly mentioning equilibrium.

Equalized

This alternative emphasizes the aspect of equality, particularly when referring to balancing opposing forces or quantities.

Reached a steady state

This phrase is commonly used in science and engineering contexts, where 'steady state' is the technical term for a balanced condition.

FAQs

How can I use "attained an equilibrium" in a sentence?

You can use "attained an equilibrium" to describe a situation where balance or stability has been reached, such as, "After prolonged negotiations, the parties "attained an equilibrium" in their agreement."

What are some alternatives to "attained an equilibrium"?

Alternatives include "reached a state of equilibrium", "achieved balance", or "established a stable state", depending on the specific context.

Is it better to say "attained equilibrium" or "reached equilibrium"?

Both "attained equilibrium" and "reached equilibrium" are correct. "Attained" emphasizes the effort or process involved in achieving the balance, while "reached" is a more general term. The best choice depends on the nuance you want to convey.

What does it mean for a system to have "attained equilibrium"?

When a system has "attained equilibrium", it means it has reached a state of balance where opposing forces or influences are equal, resulting in a stable condition. This can apply to various fields, such as physics, chemistry, economics, or even personal relationships.