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03 // Bidirectional STEM Calculators // PHYSICSE (eV) = 4.1356677 × 10⁻¹⁵ × f (Hz)

Planck-Einstein Photon Energy Calculator

The Planck-Einstein relation states that the quantum energy E of a single photon is directly proportional to its electromagnetic oscillation frequency f: E (eV) = h_eV × f.

E (eV) = 4.1356677 × 10⁻¹⁵ × f (Hz)
Pick which value you want to calculate (or type into any field):Solving for: E (eV) — Photon Energy (eV)
Calculated

Quantum energy per photon in electron-volts (1 eV = 1.602×10⁻¹⁹ J)

0.001100,000.00
unit

Electromagnetic frequency in Terahertz (10¹² Hz)

0.110,000,000.00
unit
Calculated Result · Photon Energy (eV) (E (eV))
2.3305

Step-by-Step Calculation

01Canonical Law: E (eV) = 4.1356677 × 10⁻¹⁵ × f (Hz)
02Given Inputs (Base Units): f (THz) = 563.51
03Solve for E (eV) (Photon Energy (eV)): E (eV) = 2.3305

The Planck-Einstein relation states that the quantum energy E of a single photon is directly proportional to its electromagnetic oscillation frequency f: E (eV) = h_eV × f.

Real-World Reference Values

532 nm Green DPSS Laserf = 563.5 THz → 2.33 eV

Peak human photopic eye sensitivity

Silicon Bandgap ThresholdE_g = 1.12 eV (f = 270.8 THz)

Minimum photon energy for solar PV absorption (λ ≤ 1,107 nm)

UV-C Germicidal Photon (254 nm)f = 1,180 THz → 4.88 eV

Sufficient energy to cleave nucleic acid bonds

20-Row Comparison Table

Photon Energy (eV) (E (eV)) · Optical Frequency (THz) (f (THz))

Planck-Einstein Photon Energy Calculator — Optical Frequency (THz) → Photon Energy (eV)
#Optical Frequency (THz) (f (THz))Photon Energy (eV) (E (eV))Δ %
01563.512 Current2.3305 0.00%
0272,398.17 299.4148 +12747.67%
03144,796.25 598.8292 +25595.33%
04217,194.32 898.2435 +38442.98%
05289,592.39 1,197.66 +51290.63%
06361,990.47 1,497.07 +64138.29%
07434,388.54 1,796.49 +76985.94%
08506,786.62 2,095.90 +89833.60%
09579,184.69 2,395.32 +102681.25%
10651,582.76 2,694.73 +115528.91%
11723,980.84 2,994.14 +128376.56%
12796,378.91 3,293.56 +141224.21%
13868,776.98 3,592.97 +154071.87%
14941,175.06 3,892.39 +166919.52%
151,013,573.13 4,191.80 +179767.18%
161,085,971.20 4,491.22 +192614.83%
171,158,369.28 4,790.63 +205462.49%
181,230,767.35 5,090.04 +218310.14%
191,303,165.42 5,389.46 +231157.79%
201,375,563.50 5,688.87 +244005.45%
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Frequently Asked Questions

How do I convert frequency in THz to wavelength in nanometers (nm)?+

Divide the speed of light (299,792.458) by f (in THz) to get vacuum wavelength λ in nanometers, or use E (eV) ≈ 1239.84 / λ (nm).

What is 1 electron-volt (eV) in Joules?+

One electron-volt equals 1.602176634 × 10⁻¹⁹ Joules, the kinetic energy gained by a single electron accelerated across a 1-Volt potential.

Why can't red light trigger photoelectric emission on high-work-function metals?+

Photoelectric emission depends on single-photon energy E = hf exceeding the metal's work function Φ, regardless of beam intensity.