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Spectral lines (Rydberg)
1/λ = RZ²(1/n₁² − 1/n₂²)
Where: R = range / radius / resistance, Z = impedance (Ω) / atomic number, λ = wavelength (m) / decay constant, n₁ = n₁, n₂ = n₂
Solved example
Given: Z = 7, lamda = 5, n_1 = 10, n_2 = 4
Find: R (range / radius / resistance)
- Formula: 1/λ = R·Z²·(-1/n₂² + n₁^(-2))
- Rearranged for R: R = -n₁²·n₂²/(Z²·λ·(n₁² - n₂²))
- Substitute the values: R = -10²·4²/(5·7²·(10² - 4²))
- Result: R = -0.077745
Answer: R = -0.077745
Calculator
How to calculate Spectral lines (Rydberg)
- Write down the formula: 1/λ = RZ²(1/n₁² − 1/n₂²).
- Note the known values (Z, λ, n₁, n₂).
- Substitute them and simplify to find R.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Spectral lines (Rydberg)?
The formula is 1/λ = RZ²(1/n₁² − 1/n₂²), where R = range / radius / resistance, Z = impedance (Ω) / atomic number, λ = wavelength (m) / decay constant, n₁ = n₁, n₂ = n₂.
What is Spectral lines (Rydberg) when Z = 7, lamda = 5, n_1 = 10, n_2 = 4?
R = -0.077745. Substitute the values into 1/λ = RZ²(1/n₁² − 1/n₂²) and simplify.