<p align="right">Last Update: <font color="#4f81bd">November, 25, 2024</font></p>
## BIG IDEAS
- The spectrum of [[Electromagnetic radiation|electromagnetic radiation]] emitted or absorbed by an electron during transitions between different energy levels within an atom.
- Spectra may be **line spectra**, **band spectra**, or **continuous spectra**.
- Useful to determine elements of the sun.
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**Spectroscopy** is the study of emitted or absorbed electromagnetic radiation; it is a study of line spectra.
### Instrument
A **spectrograph** is a tool producing dispersion, in which the spectrum is photographed.
### Types of Spectra
There are two types of spectra: **emission** and **absorption**.
- Emission spectra is observed when energy travels from the source to the observer.
- Absorption spectra is observed when a portion of emitted energy is absorbed by an intervening medium.
Spectral Lines
Can be measured with great precision (up to 8 significant figures).
Distance of the light source is independent
#### Guiding Question: How do I identify that each element has a unique emission and absorption spectrum?
Line spectrum
- A glass tube filled with pure atomic gas.
- Low pressure
- Current is produced by a high potential difference applied between metal electrodes.
- The tube gives off color.
- The color of light is characteristic of the gas in the tube.
emission spectrum
- When light is emitted, then it is passed through a prism.
- Results in a series of bright lines.
- Each line is a different wavelength.
- This “series of lines” is the emission spectrum.
absorption spectrum is light being absorbed by the atom (rather than emitted as above).
- Black lines exist where the wavelengths are absorbed.
- The black lines are called Fraunhofer lines
#### Guiding Question: How do I explain how line spectra are evidence for transitions between discrete energy levels
Energy and wavelength are related using the equation
$E_n \ = -\frac{13.6 eV}{n^2} \ (n \ = \ 1,2,3, \dots)$
where
$n$ is a non-negative integer.
- The negative value is based on a baseline energy of zero when the electron is infinitely far from the atom.
- The minimum energy to free an electron from an atom is referred to as its binding energy.
- Only valid for atoms with single electrons in their orbital shells (e.g., hydrogen).
### Related Topics
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[[Home|Home]] | [[Quantum mechanics]] | [[Notes Vault/Physics Notes Vault/Quantity of Motion/Quantum Mechanics/Blackbody Radiation|Blackbody Radiation]] | [[Photoelectric Effect]] | [[Atomic Theory]]