5G/6G Academy

5G/6G Academy

Telecom certifications · since 2009

Wavelength / Frequency Converter

Convert between frequency and wavelength using c = λ × f, with half-wave and quarter-wave lengths for antenna design. Uses the exact speed of light c = 299,792,458 m/s.

λ (m)
0.085655 m
λ (mm)
85.654988 mm
λ/2 (half-wave)
42.827494 mm
λ/4 (quarter-wave)
21.413747 mm
Formulas
  • λ (m) = c / f (Hz)
  • f (Hz) = c / λ (m)
  • c = 299,792,458 m/s

Common band wavelengths

Frequencyλλ/2λ/4Context
700 MHz428.27494 mm214.13747 mm107.068735 mm700 MHz low-band (n28)
900 MHz333.102731 mm166.551366 mm83.275683 mm900 MHz GSM / n8
1.80 GHz166.551366 mm83.275683 mm41.637841 mm1800 MHz / n3
2.10 GHz142.758313 mm71.379157 mm35.689578 mm2100 MHz / n1
2.60 GHz115.304792 mm57.652396 mm28.826198 mm2600 MHz / n7
3.50 GHz85.654988 mm42.827494 mm21.413747 mm3.5 GHz C-band (n78)
3.70 GHz81.024989 mm40.512494 mm20.256247 mm3.7 GHz C-band (n77)
5.90 GHz50.812281 mm25.406141 mm12.70307 mm5.9 GHz C-V2X
24.25 GHz12.362576 mm6.181288 mm3.090644 mm24.25 GHz (n258 low)
28.00 GHz10.706874 mm5.353437 mm2.676718 mm28 GHz mmWave (n257)
39.00 GHz7.686986 mm3.843493 mm1.921747 mm39 GHz mmWave (n260)
60.00 GHz4.996541 mm2.49827 mm1.249135 mm60 GHz unlicensed

Why wavelength matters

Every antenna design, every array spacing, every RF enclosure resonance comes back to one number: the wavelength λ. For an electromagnetic wave travelling in free space, c = λ × f, where c is the exact speed of light, 299,792,458 m/s. Rearranging gives λ = c / f, so a 900 MHz GSM carrier has λ ≈ 333 mm, a 3.5 GHz C-band 5G carrier has λ ≈ 86 mm, and a 28 GHz mmWave carrier has λ ≈ 10.7 mm.

Antenna engineers care most about the half-wavelength (λ/2 dipole length) and the quarter-wavelength (monopole against a ground plane, matching stubs, RF chokes). In a massive MIMO panel the element spacing is typically λ/2, which explains why a 64-element panel at 3.5 GHz fits in a rack-sized enclosure while the same element count at 700 MHz would be enormous. At mmWave you can fit hundreds of elements into the same phone-sized module.

Who uses this calculator?

Antenna designers sizing dipoles, patches, microstrip stubs and Yagi elements. FWA and CPE integrators choosing antenna form factors. RF planners explaining to stakeholders why mmWave requires dense deployment. Students learning about propagation, diffraction, and why lower frequencies “bend” around buildings more easily.

Related tools

7-Day Free Trial

Calculator gave you the answer? Learn the theory in 7 days, free.

$19.99/mo (global) · ₹999/mo (India). Full Pro access — 150+ hands-on exercises, 20+ troubleshooting Scenarios, 17 certifications, TelcoMentor AI coach. No credit card.

  • No credit card
  • Cancel anytime
  • Full Pro access
  • TELCOMA since 2009
Start My 7-Day Trial