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Photon Energy Calculator

E = hf

Calculate photon energy from frequency. E = hf, where h is the Planck constant. Also E = hc/λ.

Calculate

Enter values above to calculate
How it calculates
1
h = 6.626×10⁻³⁴ J·s (Planck constant)
2
E = h × f
3
Divide by 1.602×10⁻¹⁹ to convert to eV

Formula

E = hf

Variable Table

SymbolQuantitySI Unit
E Photon energy J
h Planck constant = 6.626×10⁻³⁴ J·s
f Frequency Hz
λ Wavelength (E = hc/λ) m

→ Photoelectric Effect article

How to Use This Calculator

This photon energy calculator is built for quick physics checks and worked-problem review. Enter values in the units shown beside each input, then compare the result with the formula and variable table before using it in a longer solution. The calculator does the arithmetic, but the physics still depends on choosing a model that matches the situation.

Start by identifying the system, the known quantities, and the quantity you want to find. If a value is given in a non-SI unit, convert it before substitution. A correct numerical answer with mixed units can still be physically wrong, especially when squared units, inverse seconds, charges, temperatures, or distances are involved.

Assumptions and Limits

The formula E = hf is a model, not a universal description of every possible case. It assumes the quantities in the variable table are the relevant quantities for the problem and that hidden effects are either negligible or already included in the inputs. If friction, drag, relativistic speeds, changing fields, non-constant temperature, or geometry-specific effects matter, check whether a more complete model is needed.

Use the result as a magnitude and units check. Ask whether the answer has the right sign, whether it grows or shrinks when an input changes, and whether the limiting cases make sense. Setting an input to zero, doubling a quantity, or using a very large value is often enough to catch a formula choice or unit mistake before it reaches a final answer.

Worked Example

Green light at f = 5.5×10¹⁴ Hz. Find photon energy.

Step 1: E = hf

Step 2: E = 6.626×10⁻³⁴ × 5.5×10¹⁴

Answer: E ≈ 3.64×10⁻¹⁹ J ≈ 2.27 eV

Common Mistakes

Related

Photoelectric EffectQuantum Physicsde Broglie CalcWavelength Calc

Frequently Asked Questions

What is the Planck constant?

h = 6.626×10⁻³⁴ J·s. It relates a photon's energy to its frequency and is fundamental to quantum mechanics.

How do I find energy from wavelength?

Use E = hc/λ, where c = 3×10⁸ m/s. Shorter wavelength means higher energy.