6. Estimate the line width from thermal Doppler broadening for the CaII K line at 393.3 nm for a star with a temperature of 3,000 K and a star with a temperature of 12,000 K. How does temperature affect line broadening

Respuesta :

The line width is calculated as 121.6nm

Data;

  • Wave length = 393.3nm
  • T1 = 3000k
  • T2 = 12,000K

Rydberg's Formula

This is used to calculate the wavelength of an electron when it moves from one state to another.

For Lyman series, n = 1

The energy difference in the two state transitioning are

[tex]n_2[/tex] = ∞

The formula is given thus;

[tex]\frac{1}{\lambda}= R(1(n_1)^2 - \frac{1}{(n_1)^2}.Z^2\\[/tex]

R = Rydberg's constant

Z = atomic number

Since the excited electron dropped from the 1st state to the ground state, the finest line of Lyman series would be

[tex]\frac{1}{\lambda} = R(1(1)^2 - \frac{1}{2^2}).1^2\\z=1\\\lambda = \frac{4}{3} * 912A^o\\\lambda = 121.6nm[/tex]

The line width is calculated as 121.6nm

Learn more Lyman series here;

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