Answer to Question #279269 in Atomic and Nuclear Physics for BIGIRIMANA Elie

Question

One of the most prominent spectral lines of Calcium is the one with

wavelength 𝜆 = 4226.73 𝐴

𝑜

[transition from 𝑝(𝑙 = 1) to 𝑠(𝑙 = 0)]. Calcium

atoms exhibit normal Zeeman patterns when placed in a uniform magnetic

field of 4 𝑇𝑒𝑠𝑙𝑎. Calculate the wavelength of the three components of a

normal Zeeman pattern and the separation between them.

Answer 1

$\lambda=\sqrt{\lambda_x^2+\lambda_y^2+\lambda_z^2},$

$\lambda_x=\lambda_y=\lambda_z,$

$\lambda=\sqrt 3\lambda_x,$

$\lambda_x=\lambda_y=\lambda_z=\frac{\lambda}{\sqrt 3}=2440.30~Å.$