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 3,00

Question

3 years ago

10

0 K and a star with a temperature of 12,000 K. How does temperature affect line broadening

1 answer:

Anuta_ua [19.1K] · Answer 1 · 2022-11-14T23:10:38+03:00

The line width is calculated as 121.6nm

Data;

<h3>Rydberg's Formula</h3>

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

$n_2$ = ∞

The formula is given thus;

$\frac{1}{\lambda}= R(1(n_1)^2 - \frac{1}{(n_1)^2}.Z^2\\$

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

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

The line width is calculated as 121.6nm

Learn more Lyman series here;