Hertz to Nanohertz
Hz
nHz
Conversion History
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Quick Reference Table (Hertz to Nanohertz)
| Hertz (Hz) | Nanohertz (nHz) |
|---|---|
| 20 | 20,000,000,000 |
| 50 | 50,000,000,000 |
| 60 | 60,000,000,000 |
| 440 | 440,000,000,000 |
| 1,000 | 1,000,000,000,000 |
| 20,000 | 20,000,000,000,000 |
About Hertz (Hz)
The hertz (Hz) is the SI unit of frequency, defined as one cycle per second. It is the base unit from which all other frequency units are derived by decimal prefix. Hertz is used across an enormous range of applications: electrical mains frequency (50 or 60 Hz), the lower edge of human hearing (~20 Hz), and up through audio, radio, and computing frequencies. A sound of 440 Hz is the musical note A4, the standard orchestral tuning pitch. The hertz replaced the older term "cycles per second" when it was adopted by the SI in 1960.
Mains electricity in Europe alternates at 50 Hz; in North America at 60 Hz. The concert A pitch is 440 Hz. Human hearing spans roughly 20 Hz to 20,000 Hz.
Etymology: Named after German physicist Heinrich Rudolf Hertz (1857–1894), who first conclusively demonstrated the existence of electromagnetic waves predicted by Maxwell's equations. The unit was adopted by the General Conference on Weights and Measures in 1960.
About Nanohertz (nHz)
A nanohertz (nHz) is one billionth of a hertz — a frequency so low that one cycle takes approximately 31.7 years to complete. Nanohertz frequencies are relevant in geophysics, astrophysics, and gravitational-wave astronomy. Pulsar timing arrays detect gravitational waves in the nanohertz band by monitoring tiny variations in the arrival times of pulses from millisecond pulsars over years or decades. Earth's Chandler wobble — a slow oscillation of the planet's rotation axis — also falls in the low nanohertz range.
A frequency of 1 nHz corresponds to one cycle every 31.7 years. The NANOGrav collaboration detected a gravitational-wave background at roughly 10–30 nHz using pulsar timing.
Hertz – Frequently Asked Questions
Why does Europe use 50 Hz mains electricity while North America uses 60 Hz?
It is largely a historical accident. Early generators in the US settled on 60 Hz because it divided neatly by common motor pole counts and worked well with the 110 V supply Edison promoted. Germany standardized on 50 Hz with a 220 V supply, and colonial-era wiring spread each standard across continents. Changing now would mean replacing every motor, transformer, and clock in the country — so both standards persist.
What is the deal with 432 Hz vs 440 Hz tuning — does it really matter?
Concert pitch A4 = 440 Hz was standardized internationally in 1955, but some musicians insist 432 Hz sounds warmer or more natural. There is no physics-based reason 432 is special — it is 8 Hz lower, which shifts every note slightly flat. Historical tuning varied wildly (baroque pitch was often ~415 Hz). The debate is real in music circles, but the claimed health benefits of 432 Hz have no scientific support.
How did Heinrich Hertz prove electromagnetic waves exist?
In 1887 Hertz built a spark-gap transmitter and a loop antenna receiver in his lab in Karlsruhe. When the transmitter sparked, the receiver — across the room with no wire connecting them — also sparked. He measured the wavelength and speed, confirming they matched Maxwell's theoretical predictions for light. Hertz was 30 years old. Ironically, he called the discovery of no practical use.
Why do fluorescent lights sometimes flicker at 50 or 60 Hz?
Older magnetic-ballast fluorescent tubes ignite and extinguish twice per mains cycle (100 or 120 times per second) because AC current crosses zero twice per cycle. Most people can't consciously see 100 Hz flicker, but it can cause headaches and eye strain. Modern electronic ballasts drive the tube at 20–40 kHz, eliminating visible flicker entirely.
What is the lowest frequency a human can hear?
About 20 Hz under ideal conditions, though sensitivity at that frequency is poor — you need extremely high sound pressure to perceive it. Below 20 Hz is infrasound: you cannot hear it as a tone, but at sufficient intensity you feel it as chest pressure or unease. Pipe organs exploit this: their longest 64-foot pipes produce notes around 8 Hz that you feel more than hear.
Nanohertz – Frequently Asked Questions
How can something have a frequency of one cycle every 31 years?
It sounds absurd, but nanohertz signals are real — they just unfold on geological or cosmic timescales. Pulsar timing arrays detect them by recording tiny shifts in pulsar pulse arrivals over decades. The signal is there the whole time; you simply need a clock patient enough (and stable enough) to notice it. Think of it like tracking the slow wobble of a spinning top filmed over years.
What did NANOGrav actually detect at nanohertz frequencies?
In 2023 NANOGrav announced strong evidence for a gravitational-wave background at roughly 1–100 nHz. The likely source is thousands of supermassive black-hole pairs spiralling toward merger across the universe. Each pair radiates gravitational waves so low-pitched that one full wave cycle can take years to pass through our solar system.
Why can't we use ordinary instruments to measure nanohertz signals?
Any conventional oscillator drifts far more than a nanohertz over the time needed to observe one cycle. Millisecond pulsars serve as nature's most stable clocks — their spin is predictable to parts in 10¹⁵. By comparing dozens of these cosmic clocks scattered across the sky, astronomers tease out correlated timing shifts smaller than 100 nanoseconds spread over 15+ years.
What is Earth's Chandler wobble and what frequency does it have?
The Chandler wobble is a small, slow oscillation of Earth's rotational axis around its figure axis, with a period of about 433 days — roughly 27 nHz. It was discovered by Seth Carlo Chandler in 1891 and is thought to be sustained by pressure fluctuations on the ocean floor. Without it, Earth's axis would settle to a fixed orientation within about 70 years.
Are there any man-made systems that operate in the nanohertz range?
Not intentionally. No engineered oscillator is designed to cycle once per decade. However, economic cycles, climate oscillations like El Niño (~50–80 nHz), and solar magnetic-field reversals (~1 nHz) are naturally recurring processes that scientists analyse in the nanohertz band using spectral methods borrowed from signal processing.