Spectral Line Wavelength Calculator

Precise Atomic Spectra Analysis

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Hydrogen Series Calculator

Calculate wavelengths for hydrogen spectral series.

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Energy Transition Calculator

Calculate energy transitions and emission wavelengths.

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Custom Spectral Series Calculator

Calculate spectral lines for any atomic transition.

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Understanding Spectral Lines

Basic Principles

Key concepts include:

  • Energy quantization
  • Atomic transitions
  • Selection rules
  • Emission spectra
  • Absorption spectra

Spectral Series

Classification:

  • Lyman Series:
    • Ultraviolet region
    • n₁ = 1
  • Balmer Series:
    • Visible region
    • n₁ = 2

Applications

Common uses:

  • Astronomical spectroscopy
  • Chemical analysis
  • Material identification
  • Atomic structure study
  • Quantum mechanics

Advanced Concepts

Additional topics:

  • Fine structure
  • Hyperfine structure
  • Zeeman effect
  • Selection rules
  • Intensity patterns

Essential Spectral Line Formulas

Rydberg Formula

1/λ = R(1/n₁² - 1/n₂²)

R = Rydberg constant

n₁, n₂ = quantum numbers

Energy Transitions

ΔE = E₂ - E₁

λ = hc/ΔE

ν = ΔE/h

Selection Rules

Δl = ±1

Δm = 0, ±1

Δn = any integer