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Franck–Hertz experiment

physical science Maturity 9-11 Next article →

The Franck–Hertz experiment is a landmark in the history of physics. It provided the first electrical measurement that clearly demonstrated the quantum nature of atoms.

FranckHertzHgTube
FranckHertzHgTube

Before this discovery, scientists were still debating how energy worked inside an atom. This experiment proved that atoms do not absorb energy in any random amount. Instead, they only accept specific, fixed amounts of energy. This finding confirmed that the world of the very small follows unique rules. It helped move science from classical ideas toward the field of quantum mechanics.

To perform the experiment, James Franck and Gustav Hertz used a specialized vacuum tube.

FranckHertzHgTube
FranckHertzHgTube

This tube contained a thin vapor of mercury atoms. The researchers heated the tube to 115 degrees Celsius. At this temperature, the mercury vapor pressure was about 100 pascals. Inside the tube, they used three main parts: a hot cathode, a metal mesh grid, and an anode. The cathode emits electrons, which are tiny particles with a negative charge. By applying voltage, the scientists could control the speed and energy of these flying electrons.

As the electrons travel through the mercury vapor, they experience two different types of collisions.

FHcollisions
FHcollisions

The first type is an elastic collision. This happens when a slow-moving electron hits a mercury atom. In an elastic collision, the electron changes direction, but it does not lose much speed or kinetic energy. This occurs because the mercury atom is about 400,000 times more massive than the electron. The second type is an inelastic collision. This happens only when an electron reaches a specific speed of about 1.3 million meters per second. At this speed, the electron has exactly 4.9 electron volts (eV) of kinetic energy.

In an inelastic collision, the electron transfers exactly 4.9 eV of energy to the mercury atom.

FHcollisions
FHcollisions

This transfer causes the electron to slow down significantly. The mercury atom becomes "excited" because it has absorbed this specific amount of energy. The electron inside the mercury atom moves from its lowest energy level to a higher energy level. Because the electron is now more loosely bound to the atom, it stays in this higher state for a short time. Eventually, the atom returns to its original state by releasing that energy as ultraviolet light. This light has a very specific wavelength of 254 nanometers.

FHlines
FHlines

Franck and Hertz measured these collisions by tracking the electric current in the tube.

Franck-Hertz en
Franck-Hertz en

They observed that the current increased steadily as they raised the voltage. However, when the voltage reached 4.9 volts, the current dropped sharply. This drop happened because the electrons lost so much energy in collisions that they could no longer reach the anode. If they increased the voltage further, the current rose again. At 9.8 volts, the current dropped a second time. This pattern repeats at every 4.9-volt interval, such as 14.7 volts or 19.6 volts. Each drop represents electrons undergoing an additional inelastic collision.

These results were revolutionary because they supported the Bohr model of the atom.

BohrLevels
BohrLevels

Proposed by Niels Bohr in 1913, this model suggested that electrons occupy specific "quantum energy levels." Bohr's model was a precursor to modern electron shell models. It stated that electrons cannot exist in the spaces between these levels. The Franck–Hertz experiment proved that these levels were real and fixed. This was a major change from previous expectations, which suggested electrons could be bound by any amount of energy. Bohr had built his model using ideas from Hendrik Lorentz regarding the quantization of energy.

The significance of this work cannot be overstated. The discovery of the laws governing how electrons impact atoms earned Franck and Hertz the Nobel Prize in Physics in 1925.

Franck-Hertz en
Franck-Hertz en

Even Albert Einstein was moved by the elegance of the results, famously remarking that the discovery was "so lovely it makes you cry." The experiment successfully linked the movement of particles to the emission of light. It bridged the gap between electricity and the study of light spectra. By proving the existence of discrete energy levels, it helped solidify the foundation of modern atomic physics.

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File:FHlines.svg
FHlines.svg
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FHcollisions.svg
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