Diagram Note: Bohr Model Energy Levels (with Wikimedia)

Hydrogen Energy Levels Diagram

Key Values at a Glance

n	E_n (H)	E_n ( $He^{+}$ )	r_n (H)	v_n (H)
1	−13.6 eV	−54.4 eV	0.529 Å	$2.18 \times 10^{6}$ m/s
2	−3.4 eV	−13.6 eV	2.116 Å	$1.09 \times 10^{6}$ m/s
3	−1.51 eV	−6.04 eV	4.761 Å	$0.727 \times 10^{6}$ m/s
4	−0.85 eV	−3.4 eV	8.464 Å	$0.545 \times 10^{6}$ m/s
∞	0	0	∞	0

Reading the Diagram

Ground state: n=1 (most negative energy, most stable)
Ionization: energy to reach n=∞ = | $E_{1}$ | = 13.6 eV for H
Lyman series: all transitions to n=1 (upward arrows = absorption; downward = emission)
Balmer series: all transitions to n=2
Paschen series: all transitions to n=3

Energy Gap Pattern

The gap between levels gets SMALLER as n increases: $E_{1}$ →{2} > $E_{2}$ →{3} > $E_{3}$ →_{4}... This means the first line of each series has the MAXIMUM wavelength.