Rami Arieli: "The Laser Adventure" Chapter 3.2 page 4
Example 3.1: Helium-Neon Laser
Figure 3.4 show the energy level diagram of Helium-Neon laser, with the possible transitions.
The mass of the Helium atom is about one-fifth of the mass of the Neon atom.
The amount of Helium in the tube is about 6 times the amount of Neon. Thus Helium atoms have more chance to receive energy from the accelerated electrons, and transfer into the excited energy levels E3 and E5.
Figure 3.4: Energy Level Diagram of Helium-Neon Laser
Neon atom have two excited energy levels (E3 and E5) which are very close to the excited energy levels of the Helium atom. The excited Helium atoms transfer their excitation energy to the Neon atoms by collisions - Resonance excitation.

Energy from the He-Ne laser is emitted at wavelengths which correspond to the energy difference between the levels:

E5 - E4 = > l1 = 3.391 [mm]
E5 - E2 = > l2 = 0.632 [mm]
E3 - E2 = > l3 = 1.152 [mm]
Later we shall understand how to choose the specific required wavelength at the output of the laser.