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Wave Number of Line Spectrum of Hydrogen Calculator

Wave Number Formula:

\[ \nu'_{HA} = R_{\infty} \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \]

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1. What is Wave Number of Hydrogen Line Spectrum?

Definition: The wave number represents the spatial frequency of a wave in hydrogen's line spectrum, measured in reciprocal meters (m-1).

Purpose: This calculator determines the wave number of spectral lines in hydrogen's emission spectrum using the Rydberg formula.

2. How Does the Calculator Work?

The calculator uses the Rydberg formula:

\[ \nu'_{HA} = R_{\infty} \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \]

Where:

Explanation: The formula calculates the difference in energy between two quantum states of a hydrogen atom.

3. Importance of Wave Number Calculation

Details: Wave numbers are fundamental in spectroscopy for identifying elements and studying atomic structure.

4. Using the Calculator

Tips: Enter the principal quantum numbers (n1 must be less than n2). Common series:

5. Frequently Asked Questions (FAQ)

Q1: What is the Rydberg constant?
A: The Rydberg constant (10973731.6 m-1) is a physical constant relating to atomic spectra.

Q2: Why must n2 be greater than n1?
A: This ensures the electron transitions to a higher energy level, emitting a photon.

Q3: How does this relate to wavelength?
A: Wavelength (λ) = 1/wave number (ν'). The calculator gives ν' directly.

Q4: What are typical values for n1 and n2?
A: For visible spectrum (Balmer series), n1=2, n2=3-7.

Q5: Can this be used for other elements?
A: The formula is specific to hydrogen-like atoms. Other elements require modifications.

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