Hertz to Petahertz Converter
Convert Hz to PHz quickly and accurately with our free frequency converter
Quick Conversions
Conversion Formula
Converting between hertz and petahertz requires multiplying or dividing by 1015. The relationship between these frequency units is straightforward:
PHz to Hz: Hz = PHz × 1.0E+15
Since “peta” represents 1015 in the metric system, one petahertz equals one quadrillion hertz. This makes petahertz suitable for measuring extremely high frequencies, such as those found in visible light and X-rays.
Conversion Examples
Example 1: Converting 1,000 Hz to PHz
Step 1: Start with the value in hertz: 1,000 Hz
Step 2: Multiply by the conversion factor: 1,000 × 1.0E-15
Step 3: Result: 1.0E-12 PHz
Example 2: Converting 5,000,000 Hz to PHz
Step 1: Start with the value: 5,000,000 Hz (5 MHz)
Step 2: Apply the formula: 5,000,000 × 1.0E-15
Step 3: Result: 5.0E-9 PHz
Example 3: Converting 0.5 PHz to Hz
Step 1: Start with the value: 0.5 PHz
Step 2: Multiply by 1015: 0.5 × 1.0E+15
Step 3: Result: 5.0E+14 Hz (500 terahertz)
Hz to PHz Conversion Table
| Hertz (Hz) | Petahertz (PHz) | Scientific Notation |
|---|---|---|
| 1 Hz | 0.000000000000001 PHz | 1.0E-15 PHz |
| 10 Hz | 0.00000000000001 PHz | 1.0E-14 PHz |
| 100 Hz | 0.0000000000001 PHz | 1.0E-13 PHz |
| 1,000 Hz (1 kHz) | 0.000000000001 PHz | 1.0E-12 PHz |
| 10,000 Hz (10 kHz) | 0.00000000001 PHz | 1.0E-11 PHz |
| 100,000 Hz (100 kHz) | 0.0000000001 PHz | 1.0E-10 PHz |
| 1,000,000 Hz (1 MHz) | 0.000000001 PHz | 1.0E-9 PHz |
| 10,000,000 Hz (10 MHz) | 0.00000001 PHz | 1.0E-8 PHz |
| 100,000,000 Hz (100 MHz) | 0.0000001 PHz | 1.0E-7 PHz |
| 1,000,000,000 Hz (1 GHz) | 0.000001 PHz | 1.0E-6 PHz |
| 1,000,000,000,000 Hz (1 THz) | 0.001 PHz | 1.0E-3 PHz |
| 1,000,000,000,000,000 Hz (1 PHz) | 1 PHz | 1.0E+0 PHz |
Popular Frequency Conversions
Besides hertz to petahertz, here are other commonly used frequency conversions in science and engineering:
1 Hz = 0.001 kHz
1 Hz = 1.0E-6 MHz
1 Hz = 1.0E-9 GHz
1 Hz = 1.0E-12 THz
1 kHz = 1.0E-12 PHz
1 MHz = 1.0E-9 PHz
1 GHz = 1.0E-6 PHz
1 THz = 0.001 PHz
Applications of Petahertz Frequencies
Petahertz frequencies represent extremely high oscillation rates that occur in various natural phenomena and scientific applications:
Visible Light Spectrum
Visible light occupies the frequency range from approximately 400 THz to 800 THz (0.4 to 0.8 PHz). Red light has a frequency around 430 THz, while violet light reaches about 750 THz. This makes petahertz the appropriate unit for discussing optical frequencies.
Ultraviolet Radiation
Ultraviolet (UV) light extends from about 800 THz to 30 PHz. Near-UV radiation, which causes sunburn, operates around 1 PHz, while extreme UV approaches the X-ray spectrum at higher frequencies.
X-ray and Gamma Radiation
Soft X-rays begin around 30 PHz and extend into the hundreds of petahertz range. Hard X-rays and gamma rays reach even higher frequencies, making petahertz a standard unit in high-energy physics and medical imaging applications.
Attosecond Science
Modern ultrafast laser physics operates in the petahertz regime, enabling scientists to observe electron movements in atoms. Attosecond pulses, which last only 10-18 seconds, have spectral components measured in petahertz.
Frequency Scale Context
To better appreciate where petahertz sits in the frequency spectrum, consider this hierarchical view:
Base unit – 1 cycle/second
103 Hz – AM radio
106 Hz – FM radio, TV
109 Hz – WiFi, processors
1012 Hz – Far infrared
1015 Hz – Visible light, UV
1018 Hz – X-rays
1021 Hz – Gamma rays
Frequently Asked Questions
What is a hertz?
A hertz (Hz) is the SI unit of frequency, representing one cycle per second. Named after physicist Heinrich Hertz, it measures how many times a periodic event occurs in one second. For example, if a wave oscillates 50 times per second, its frequency is 50 Hz.
What is a petahertz?
A petahertz (PHz) equals one quadrillion (1015) hertz. This unit is commonly used in optics and high-energy physics to describe the frequencies of visible light, ultraviolet radiation, and X-rays. The prefix “peta” comes from the Greek word for “five,” representing 10005.
How many hertz are in one petahertz?
One petahertz contains exactly 1,000,000,000,000,000 (one quadrillion) hertz. Conversely, one hertz equals 0.000000000000001 petahertz or 1.0E-15 PHz in scientific notation.
When should I use petahertz instead of hertz?
Petahertz becomes practical when dealing with optical frequencies, X-rays, or any electromagnetic radiation in the visible to hard X-ray spectrum. Using petahertz avoids unwieldy numbers with many zeros and makes calculations more manageable in these high-frequency domains.
What color light corresponds to 500 THz (0.5 PHz)?
A frequency of 500 THz (0.5 PHz) corresponds to orange-red light with a wavelength of approximately 600 nanometers. This falls within the visible spectrum that human eyes can detect, specifically in the warm color range.
Can radio waves be measured in petahertz?
While technically possible, radio waves are never measured in petahertz because their frequencies are far too low. Radio waves typically range from kilohertz to gigahertz. Using petahertz for radio frequencies would result in extremely small decimal numbers, making the measurement impractical.
How does frequency relate to wavelength?
Frequency and wavelength have an inverse relationship described by the equation: wavelength = speed of light / frequency. Higher frequencies (like those measured in petahertz) correspond to shorter wavelengths. For instance, 1 PHz light has a wavelength of about 0.3 nanometers.
Are hertz and cycles per second the same?
Yes, hertz and cycles per second are identical measurements. The term “hertz” was adopted as the official SI unit to honor Heinrich Hertz, but both expressions describe the same concept: the number of complete cycles occurring in one second.
Historical Background
The hertz unit honors Heinrich Rudolf Hertz (1857-1894), a German physicist who conclusively proved the existence of electromagnetic waves predicted by James Clerk Maxwell’s equations. His experiments in the late 1880s demonstrated that electromagnetic waves could be transmitted and received, laying the foundation for wireless communication.
Before 1960, frequency was commonly expressed as “cycles per second” (cps). The International System of Units officially adopted “hertz” in 1960, though the transition took several years in practice. The metric prefixes like “peta” were systematized in 1975, making “petahertz” a relatively recent addition to scientific vocabulary.
As scientific instrumentation advanced to probe shorter timescales and higher energies, the need for larger frequency units became apparent. Today, petahertz-scale measurements are routine in synchrotron facilities, free-electron lasers, and attosecond laser laboratories worldwide.
Measurement Techniques
Directly measuring petahertz frequencies presents significant technical challenges due to the extremely short oscillation periods involved:
Optical Frequency Combs
The most precise method for measuring optical frequencies uses optical frequency combs, which earned the 2005 Nobel Prize in Physics. These devices generate evenly spaced spectral lines that can bridge the gap between microwave and optical frequencies, enabling accurate measurements in the petahertz range.
Spectroscopy Methods
Various spectroscopic techniques determine frequencies by analyzing how matter interacts with electromagnetic radiation. Absorption and emission spectroscopy can identify specific frequencies based on characteristic atomic and molecular transitions that often occur in the petahertz regime.
Heterodyne Detection
This technique mixes two high-frequency signals to produce a lower-frequency beat signal that’s easier to measure. By comparing an unknown optical frequency with a known reference, scientists can determine petahertz frequencies with remarkable precision.