Notes2A - Atomic Emission and Absorption Spectroscopy I....

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Atomic Emission and Absorption Spectroscopy I. Atomic Emission and Absorption Spectrum A. Experimental Facts 1. ___ Atoms _______ emit and absorb ONLY ____ Discrete _____ FREQUENCIES ( or WAVELENGTHS) of _ Electromagnetic Radiation _ . 2. The _ Emission __ and ____ Absorption ___________ spectrum of each ___ Atom __ is __ Unique _! "Atomic Fingerprints" 3. The ___ Wavelength __ ___ Absorbed ____ by an atom are the __ Same __ wavelengths __ Emitted ___. B. Explanations 1. The first condition is a consequence of the fact that electrons in the atom are _ Bound _. When ___ boundary ___ ____ conditions ___ are imposed
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
upon a differential equation, ONLY __ certain __ possible _ solutions are __ allowed _. These solutions are called ___ eigen __ (German for "proper") __ functions __. The parameter value that distinguishes a particular solution in our case the wavelength (or equivalently energy) is called the ___ eigen ___ ____ value . Example: Wave on a string Unbounded String Bounded String Any wavelength is possible for the unbounded string. L x = 0 x = L
Background image of page 2
For the bounded string, the node conditions at the wall limit the wavelength to 2L/1, 2L/2, 2L/3, 2L/4, etc. . Thus, a particular solution to our bounded wave problem in the language of differential equations can be stated as follows "Nth" Eigenvalue: ..... 3, 2, 1, n where n 2L λ n = = "Nth" Eigenfunction: ( 29 L to 0 x for λ x π 2 Sin A x n n n = = Ψ
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 6

Notes2A - Atomic Emission and Absorption Spectroscopy I....

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online