How Do You Convert Hertz to Terahertz?
Divide hertz by 1,000,000,000,000 (10^12) to get terahertz. The formula is: THz = Hz / 10^12. Since tera means trillion, this conversion simply moves the decimal point 12 places to the left.
Maya Singh converts frequencies across the electromagnetic spectrum for a physics poster. Her Wi-Fi router operates at 5,000,000,000 Hz. Dividing: 5,000,000,000 / 10^12 = 0.005 THz. She discovers that Wi-Fi is only 0.5% of the way to the terahertz band, illustrating how much higher THz frequencies are compared to familiar wireless signals.
Electromagnetic Spectrum Reference
| Type | Hz | THz |
|---|---|---|
| AM Radio | 540,000 - 1,600,000 Hz | ~0.000001 THz |
| FM Radio | 88,000,000 - 108,000,000 Hz | ~0.0001 THz |
| Wi-Fi (5 GHz) | 5,000,000,000 Hz | 0.005 THz |
| 5G mmWave | 28,000,000,000 Hz | 0.028 THz |
| THz band start | 100,000,000,000 Hz | 0.1 THz |
| Far infrared | 30,000,000,000,000 Hz | 30 THz |
| Red light | 400,000,000,000,000 Hz | 400 THz |
| Violet light | 790,000,000,000,000 Hz | 790 THz |
Practical Applications
Spectrum Planning
Priya Patel writes about wireless spectrum allocation for a telecom client. The 5G mmWave band operates at 24,000,000,000-47,000,000,000 Hz = 0.024-0.047 THz. The proposed 6G band at 100,000,000,000-300,000,000,000 Hz = 0.1-0.3 THz. Converting to THz makes it easier to see how close 6G approaches the terahertz region.
Physics Education
Tom Brewer helps Maya visualize the electromagnetic spectrum by converting all frequencies to THz. Concert A (440 Hz) = 4.4 x 10^-10 THz. FM radio (100 MHz) = 0.0001 THz. Microwave oven (2.45 GHz) = 0.00245 THz. These numbers show that everyday frequencies occupy a tiny sliver of the full spectrum, which extends up to 10^12 THz for gamma rays.
Astronomical Observations
The Atacama Large Millimeter Array (ALMA) telescope observes at frequencies from 84,000,000,000 to 950,000,000,000 Hz = 0.084-0.95 THz. Maya Singh reads that ALMA detects cold dust and gas in distant galaxies at these frequencies. Coach Rivera uses this as a teaching moment about how different frequencies reveal different aspects of the universe that visible light cannot show.