⚛️ Quantum Mechanics & Spectroscopy
Photon Energy & Wavelength ($E = hc/\lambda$) Converter
Convert quantum photon properties across Wavelength ($\text{nm}, \text{\AA}$), Photon Energy ($\text{eV}, \text{J}$), Optical Frequency ($\text{THz}$), and Wavenumber ($\text{cm}^{-1}$).
🟢 Green Laser (532 nm)
🔴 Red Laser (632.8 nm)
🟣 UVC Germicidal (254 nm)
📡 Fiber Telecom (1550 nm)
🩻 Medical X-Ray (12.4 keV)
Input Photon Property
Photon Energy (eV)
2.330 eV
Frequency (THz)
563.5 THz
Wavenumber
18,797 cm⁻¹
Angstroms (Å)
5,320 Å
💡 Planck-Einstein Energy Relation:
$$E = \frac{h c}{\lambda} \implies E(\text{eV}) = \frac{1239.842}{\lambda(\text{nm})} \implies 532\text{ nm} = 2.330\text{ eV} = 563.5\text{ THz}$$
Understanding Photon Energy & Planck's Equation
The energy ($E$) of a single light quantum is directly proportional to its electromagnetic frequency ($\nu$) and inversely proportional to its wavelength ($\lambda$):
- Planck's Law: $$E = h \nu = \frac{h c}{\lambda}$$
- Fundamental Constants:
- Planck constant: $h = 6.62607015 \times 10^{-34}\text{ J}\cdot\text{s} = 4.135667696 \times 10^{-15}\text{ eV}\cdot\text{s}$
- Speed of light: $c = 299,792,458\text{ m/s}$
- Constant product: $hc \approx 1239.84193\text{ eV}\cdot\text{nm}$
- Wavenumber ($\tilde{\nu}$): $\tilde{\nu} = \frac{1}{\lambda} = \frac{10^7}{\lambda_{\text{nm}}}\text{ cm}^{-1}$ (widely used in Raman & FTIR infrared spectroscopy).