eigenfrequency
C2Technical/Scientific
Definition
Meaning
A characteristic frequency at which a system naturally vibrates or oscillates when disturbed.
In physics and engineering, a frequency corresponding to a normal mode of vibration of a system; an inherent resonant frequency determined solely by the system's properties (like mass and stiffness).
Linguistics
Semantic Notes
A compound from German 'Eigen-' (own, characteristic) and 'frequency.' Used almost exclusively in physics, engineering, mathematics, and closely related fields. The plural is typically 'eigenfrequencies.'
Dialectal Variation
British vs American Usage
Differences
No significant difference in meaning or spelling. Both regions use it primarily in academic/technical contexts. The American variant may be slightly more common due to larger STEM literature output.
Connotations
Purely technical, precise, and formal. Implies a mathematical or physical model.
Frequency
Extremely low frequency in general English, but standard in relevant technical literature in both regions.
Vocabulary
Collocations
Grammar
Valency Patterns
the eigenfrequency of [SYSTEM]an eigenfrequency corresponding to [MODE]to calculate/find/determine the eigenfrequencyVocabulary
Synonyms
Strong
Neutral
Weak
Vocabulary
Antonyms
Usage
Context Usage
Academic
Central to papers on structural dynamics, quantum mechanics, and acoustics.
Everyday
Virtually never used in everyday conversation.
Technical
The primary context. Used in engineering design, vibration analysis, and theoretical physics.
Examples
By Part of Speech
adjective
British English
- The eigenfrequency analysis was crucial for the bridge design.
- They studied the eigenfrequency spectrum.
American English
- An eigenfrequency calculation was performed.
- The eigenfrequency values were tabulated.
Examples
By CEFR Level
- The guitar string vibrates at its natural frequency.
- Engineers must consider a building's resonant frequencies.
- The bridge's design was modified after its fundamental eigenfrequency was found to be too close to that of wind forces.
- Calculating the eigenfrequencies of a molecule is essential in quantum chemistry.
Learning
Memory Aids
Mnemonic
Think 'I own this frequency' -> 'Eigen-frequency'. It's the frequency that a system owns by its very nature.
Conceptual Metaphor
A SYSTEM is a VOICE BOX; its EIGENFREQUENCIES are the PITCHES at which it can sing naturally.
Watch out
Common Pitfalls
Translation Traps (for Russian speakers)
- Avoid direct calques like *'sobstvennaya chastota'* in non-technical English contexts.
- Do not confuse with 'resonance frequency' which is related but not identical; resonance occurs when driving frequency matches an eigenfrequency.
Common Mistakes
- Misspelling as 'eigen frequency' (should be one word or hyphenated: eigenfrequency/eigen-frequency).
- Using it to refer to any frequency, not specifically a natural mode.
Practice
Quiz
In which context is the term 'eigenfrequency' MOST appropriately used?
FAQ
Frequently Asked Questions
In most practical contexts, yes. 'Eigenfrequency' is the more formal, mathematically precise term originating from eigenvalue problems, while 'natural frequency' is more general.
No, it would sound highly technical and out of place unless speaking to an engineer or physicist about a very specific topic.
The standard plural is 'eigenfrequencies'.
It originates from German, meaning 'own', 'characteristic', or 'self-'.