1 angstrom corresponds to approximately 12.3984 electronvolts (eV).
This conversion is based on the relationship between wavelength (in angstroms) and photon energy (in electronvolts), using the formula E (eV) = 12398.4 / λ (angstrom). The shorter the wavelength, the higher the photon energy.
Conversion Tool
Result in ev:
Conversion Formula
The formula to convert from angstrom to electronvolts (eV) comes from the energy-wavelength relation of photons: E = hc / λ, where E is the photon energy, h is Planck’s constant, c is the speed of light, and λ is the wavelength.
When expressing λ in angstroms (Å) and energy in eV, the constants h and c combine to approximately 12398.4 eV·Å.
Hence, the formula becomes:
E (eV) = 12398.4 / λ (angstrom)
For example, if λ = 1 Å:
- Calculate: E = 12398.4 / 1 = 12398.4 eV
- This means a photon with wavelength 1 angstrom has energy about 12398.4 eV.
Conversion Example
- Convert 2 angstrom to eV:
- Apply formula: E = 12398.4 / 2
- Calculate: E = 6199.2 eV
- Meaning photon energy at 2 Å wavelength is 6199.2 eV.
- Convert 5 angstrom to eV:
- E = 12398.4 / 5
- E = 2479.68 eV
- Photon energy decreases as wavelength increases.
- Convert 0.5 angstrom to eV:
- E = 12398.4 / 0.5
- E = 24796.8 eV
- Short wavelength means higher energy.
- Convert 10 angstrom to eV:
- E = 12398.4 / 10
- E = 1239.84 eV
- Energy further decreases with longer wavelength.
- Convert 0.1 angstrom to eV:
- E = 12398.4 / 0.1
- E = 123984 eV
- Very short wavelength has very high photon energy.
Conversion Chart
This chart shows values from -24.0 to 26.0 angstrom and their corresponding energies in eV. Negative wavelengths have no physical meaning here, but included for range completeness.
| Wavelength (Å) | Energy (eV) |
|---|---|
| -24.0 | Invalid |
| -23.0 | Invalid |
| -22.0 | Invalid |
| -21.0 | Invalid |
| -20.0 | Invalid |
| -19.0 | Invalid |
| -18.0 | Invalid |
| -17.0 | Invalid |
| -16.0 | Invalid |
| -15.0 | Invalid |
| -14.0 | Invalid |
| -13.0 | Invalid |
| -12.0 | Invalid |
| -11.0 | Invalid |
| -10.0 | Invalid |
| -9.0 | Invalid |
| -8.0 | Invalid |
| -7.0 | Invalid |
| -6.0 | Invalid |
| -5.0 | Invalid |
| -4.0 | Invalid |
| -3.0 | Invalid |
| -2.0 | Invalid |
| -1.0 | Invalid |
| 0.0 | Undefined |
| 1.0 | 12398.4 |
| 2.0 | 6199.2 |
| 3.0 | 4132.8 |
| 4.0 | 3099.6 |
| 5.0 | 2479.68 |
| 6.0 | 2066.4 |
| 7.0 | 1771.2 |
| 8.0 | 1549.8 |
| 9.0 | 1377.6 |
| 10.0 | 1239.84 |
| 11.0 | 1127.13 |
| 12.0 | 1033.2 |
| 13.0 | 953.72 |
| 14.0 | 885.6 |
| 15.0 | 826.56 |
| 16.0 | 774.9 |
| 17.0 | 729.02 |
| 18.0 | 688.8 |
| 19.0 | 652.55 |
| 20.0 | 619.92 |
| 21.0 | 590.4 |
| 22.0 | 563.56 |
| 23.0 | 539.06 |
| 24.0 | 516.6 |
| 25.0 | 495.94 |
| 26.0 | 476.86 |
To use this chart, find the wavelength in angstrom in the left column. The corresponding energy in eV is shown right. Negative or zero wavelengths are invalid, since wavelength cannot be zero or negative.
Related Conversion Questions
- What is the energy in eV of a 1 angstrom photon?
- How to convert 1 Å wavelength into electronvolts?
- What formula converts angstroms to eV for a 1 angstrom value?
- Is 1 angstrom equal to 12398 eV or different?
- How many electronvolts does a photon with 1 angstrom wavelength have?
- Why does 1 angstrom correspond to a specific eV value?
- Can 1 angstrom be directly converted to eV without extra constants?
Conversion Definitions
Angstrom: An angstrom (Å) is a unit of length equal to 10⁻¹⁰ meters, often used in atomic scale measurements like wavelengths of X-rays and atomic distances. It is convenient for describing sizes of atoms and molecules because it matches their scale closely.
Electronvolt (eV): An electronvolt is a unit of energy equal to the amount of kinetic energy gained by an electron when accelerated through a potential difference of one volt. It is commonly used in atomic, nuclear, and particle physics to express small energy values.
Conversion FAQs
Can I convert angstrom to eV for non-photon particles?
No, this conversion only applies to photons where wavelength relates directly to energy. For other particles like electrons or protons, energy depends on mass and velocity, not wavelength.
Why does the formula use 12398.4 as a constant?
The number 12398.4 eV·Å combines Planck’s constant and speed of light, adjusted to units of electronvolts and angstroms. It simplifies the energy-wavelength relation so you don’t need to calculate constants every time.
What happens if the wavelength is zero or negative?
Wavelength cannot be zero or negative in physical sense; dividing by zero is undefined and negative wavelengths have no physical meaning. The formula breaks down and cannot produce valid energies.
Does temperature affect the angstrom to eV conversion?
Temperature does not influence the direct conversion from wavelength to energy. However, temperature can affect the source or medium emitting photons, but the formula itself stays the same.
Can I use this conversion for visible light wavelengths?
Yes, but visible light wavelengths are about 4000 to 7000 angstroms, resulting in lower energies (~1.77 to 3.1 eV). The formula applies across electromagnetic spectrum but energy values vary widely.
