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Calcimator

Quantum Phenomena Calculator

Quantum phenomena calculations. Tunneling, photoelectric effect, Compton scattering, blackbody radiation, and quantum entanglement.

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Step 1 of 2

How to Use This Calculator
  1. In the Tunneling section, enter Particle Energy (eV), Barrier Height (eV), and Barrier Width (m) to compute transmission probability.
  2. Switch to Photoelectric Effect and enter Photon Wavelength (nm) and Work Function (eV) to see maximum kinetic energy of ejected electrons.
  3. Use the Compton Scattering section: enter Incident Wavelength (nm/Å) and Scattering Angle (°) to compute wavelength shift Δλ.
  4. In Blackbody Radiation, enter Temperature (K) to get peak wavelength from Wien's law and compare to visible spectrum.
  5. Check the Tunneling chart showing Transmission vs. Barrier Width to visualize exponential suppression.

What each input means

Phenomenon
Calculation mode to use.
Particle Mass (kg)
Electron: 9.109e-31 kg
Work Function (eV)
Cu: 4.7, Na: 2.3, Cs: 2.1
Incident Wavelength (nm)
X-ray region
Temperature (K)
Sun: 5778K
Measurement Basis
Quantum measurement basis.

How this is calculated

Formula

T ≈ e^(-2κa) | KE = hf - φ | Δλ = λ_c(1-cos θ) | λ_peak = b/T

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Phenomenon = 0, Barrier Height (eV) = 1, Barrier Width (nm) = 1, Particle Energy (eV) = 0.5 = 14 input(s) provided
  2. Calculate Transmission Coefficient
    0.0028505810396497484 = 0.0028505810396497484
  3. Calculate Penetration Depth
    Penetration Depth
    0.27604864066523277 = 0.27604864066523277
  4. Calculate Tunneling Type
    Quantum tunneling = Quantum tunneling

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