A Lithium Atom,mass 1

question 12

Essay

A lithium atom,mass 1.17 × 10^-26 kg,vibrates with simple harmonic motion in a crystal lattice,where the effective force constant of the forces on the atom is k = 49.0 N/m.
(c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J ∙ s,h = 1.055 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J)
(a)What is the ground state energy of this system,in eV?
(b)What is the wavelength of the photon that could excite this system from the ground state to the first excited state?

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Definitions:

Arithmetic Mean

The sum of a collection of numbers divided by the count of numbers in the collection, commonly known as the average.

Midrange

The statistical measure calculated by taking the average of the highest and lowest values in a data set.

Mode

The value that appears most frequently in a data set.

Sample Mean

The average value calculated from a sample, intended to estimate the population mean from which the sample was drawn.