Paschen, Brackett and Pfund Series in the Hydrogen Spectrum

Chemistry · Structure Of Atom · NEET

In the hydrogen spectrum, the electron falls from a higher level down to a fixed lower level. Paschen series ends at n=3, Brackett series ends at n=4, and Pfund series ends at n=5. All three of these series lie in the infrared (IR) region, which the eye cannot see. Memory hook: "3-4-5, all IR alive" — Paschen, Brackett, Pfund are all infrared.
Hydrogen Spectral Series (by ending level)n=1n=2n=3n=4n=5n=6Paschen n=3Brackett n=4Pfund n=5All three series lie in the INFRARED region
Paschen, Brackett and Pfund series: the electron drops to n=3, n=4 and n=5 respectively. Because the energy gaps are small, all three series lie in the infrared region (only Balmer, ending at n=2, is visible).

Your doubts, answered

At which energy level (n) does each series end?

Each series is named by the FINAL level the electron lands on. Paschen series ends at n=3. Brackett series ends at n=4. Pfund series ends at n=5. The electron starts from any higher level and drops down to this fixed lower level. For example, in the Paschen series the electron can come from n=4, 5, 6... but it always ends at n=3.

Are all three of these series in the infrared region?

Yes. Paschen, Brackett and Pfund series all lie in the infrared (IR) region of the electromagnetic spectrum. This is because the energy gaps for these jumps are small, so the light has a long wavelength (low energy). Only the Balmer series (ends at n=2) is in the visible region, and only the Lyman series (ends at n=1) is in the ultraviolet region.

How do I remember the order Lyman, Balmer, Paschen, Brackett, Pfund?

The five series match the ending levels n=1, 2, 3, 4, 5 in order. So: Lyman = n=1 (UV), Balmer = n=2 (visible), Paschen = n=3 (IR), Brackett = n=4 (IR), Pfund = n=5 (IR). A simple sentence: 'Little Boys Prefer Beautiful Presents' for Lyman, Balmer, Paschen, Brackett, Pfund. The last three are all IR.

Which formula gives the wavelength of these lines?

Use the Rydberg formula: 1/λ = R (1/n1² − 1/n2²), where R = 109677 cm⁻¹ is the Rydberg constant, n1 is the lower (ending) level, and n2 is the higher (starting) level. For Paschen n1=3, for Brackett n1=4, for Pfund n1=5. n2 is always greater than n1. This is why NEET asks you to know the ending level of each series.

Why is the Balmer series different from these three?

Balmer series ends at n=2, and its lines fall in the VISIBLE region (the colours you can see). Paschen, Brackett and Pfund all end at n=3 or higher, so their energy gaps are smaller and their light is infrared, which the eye cannot see. NEET often mixes these up to test if you know that only Balmer is visible.

⚠️ The NEET trap
Paschen series lies in the visible region because it comes right after Balmer.
Paschen series lies in the INFRARED region. It ends at n=3, so its energy gaps are too small to produce visible light. Only the Balmer series (ends at n=2) is visible.
🧠 Coming 'after' Balmer does not mean visible. Once you pass n=2, you are in IR. Remember: n=1 UV, n=2 visible, n≥3 all infrared.

Real NEET questions

NEET 2019

Which of the following series of transitions in the spectrum of the hydrogen atom falls in the visible region?

A · Lyman series
B · Balmer series
C · Paschen series
D · Brackett series
Solution: The Balmer series ends at n=2 and its lines fall in the visible region. The Lyman series (ends at n=1) is in the UV, while the Paschen (n=3) and Brackett (n=4) series lie in the infrared region. This question tests whether you know that Paschen, Brackett and Pfund are all NOT visible — they are infrared.
NEET 2025

The ratio of the wavelengths of the light absorbed by a hydrogen atom when it undergoes n=2 → n=3 and n=4 → n=6 transitions, respectively, is:

A · 1/9
B · 1/4
C · 1/36
D · 1/16
Solution: Use 1/λ = R(1/n1² − 1/n2²). For 2→3: 1/λ1 ∝ 1/4 − 1/9 = 5/36. For 4→6: 1/λ2 ∝ 1/16 − 1/36 = 5/144. So λ1/λ2 = (5/144)/(5/36) = 36/144 = 1/4. Note the 4→6 jump belongs to the Brackett series (ends at n=4), which lies in the infrared region.

Solved Structure Of Atom NEET PYQs

Try the real previous-year questions from this chapter — each with the answer and a full solution.

See all 30 Structure Of Atom NEET PYQs ›
Next concept: Which Hydrogen Series Lies in the Visible Region?Keep learning — 2 minFeeling ready? Solve the Structure Of Atom NEET PYQs ›Or practice on your phone — get the free MedicNEET app ›

Frequently asked

What is the Pfund series?

The Pfund series is the set of spectral lines of hydrogen where the electron falls from a higher level (n=6, 7, 8...) down to n=5. All Pfund lines lie in the far infrared region.

Is the Brackett series in the infrared or visible region?

The Brackett series is in the infrared region. It ends at n=4, so the energy gaps are small and the light has a long, invisible (infrared) wavelength.

What is the lower level (n1) for the Paschen series?

For the Paschen series, the lower level n1 = 3. The electron always ends at n=3, coming from n=4, 5, 6 and higher.

Which hydrogen series can we actually see with our eyes?

Only the Balmer series is visible to the eye. Lyman is ultraviolet, and Paschen, Brackett and Pfund are all infrared, so none of these three can be seen.

Do these series appear in the emission or absorption spectrum?

They can appear in both. In emission the electron drops down (releases light); in absorption it jumps up. The named series (Paschen etc.) usually refer to emission ending at the fixed lower level, but the same wavelengths appear in absorption too.