Virtual laboratory/Physics/Atomic physics/The atomic model — energy levels and spectrum

The atomic model — energy levels and spectrum

What we will do: We will supply energy to the atom, excite the electron to higher levels, and watch how, on returning, it emits light, building up the element's spectrum.

What you see on screen: An atom with energy levels and an electron, a button to supply energy, and an emission-spectrum bar to which successive lines are added; supplying energy kicks the electron upward, and its return emits a photon whose color depends on the jump. Readouts: element, electron level, transition, and the energy and color of the emitted photon.

The atomic model — energy levels and spectrum
Physics · Atomic physics · Atomic model and spectrum (FIZ.4.1.1)
Energy packet supplied (photon / heat)E = 0,00 eV
matching packets:
An excited electron (on a higher level) returns to a lower one. What happens?
element
Hydrogen
electron level
n = 1
supplied E
0,00 eV
transition
—
photon
—
spectral lines
0
🎯 Challenge: which level will it excite to?
streak: 0

I will give you an energy packet — guess which level it excites the electron to from the ground state, or whether it matches none. Excitation requires an exact match.

What just happened?

The excited electron returned to a lower level and radiated a photon — a flash of light of a precisely defined color. This is exactly how atoms “glow”.

The Bohr model of the atom:

electrons orbit the nucleus only on ALLOWED levels (orbits) of a definite energy. They cannot sit “in between” them. On a level the electron does not radiate energy.

Excitation and emission:

when an atom absorbs energy (e.g. in a flame or a discharge), the electron jumps to a HIGHER level — this is the excited state (short-lived); returning to a lower level, the electron gives back the energy difference as a PHOTON (a quantum of light):

ΔE=Ehigher−Elower=h⋅f\Delta E = E_{higher} - E_{lower} = h\cdot f

The color of the light depends on the size of the jump: a large drop in energy → a more blue/violet photon, a small one → red.

Line spectrum:

because the energy levels are DIFFERENT for every element, each one emits its own, unique set of lines — like a “barcode”. That is why neon glows red, sodium yellow, and from a star’s spectrum we learn its composition.

Why you need this for the exam:

the Bohr postulates, the formula ΔE=hf\Delta E = h f, excitation and emission, and the formation of line spectra are the core of atomic physics. The trick: photon energy = difference between levels.

Remember: the electron emits a photon only when it transitions to a lower level, and the photon energy equals the difference between levels (ΔE = hf); hence every element has its own line spectrum.

Illustrative model · NexTutor Virtual laboratory

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Theory & formulas

Quantized levels

An electron in an atom can only have specific energies EnE_n. Supplying energy excites it to a higher level.

Photon emission

On returning to a lower level, the atom emits a photon with an energy equal to the difference between the levels: ΔE=E2−E1=hf=hcλ\Delta E = E_2 - E_1 = hf = \dfrac{hc}{\lambda} A larger jump → a more blue photon. Because the levels are unique to each element, each one has its own line spectrum.

Notation: EnE_n — level energy, ΔE\Delta E — difference between levels, hh — Planck constant, ff — frequency, cc — speed of light, λ\lambda — wavelength.

Frequently asked questions

›

When does an atom emit light?

When an excited electron returns to a lower energy level — it then emits a photon with an energy equal to the difference between the levels.

›

Where do an element's spectral lines come from?

From transitions of electrons between specific energy levels; because the levels are unique, each element has its own line spectrum.

›

What determines the color of the emitted light?

On the size of the energy jump — a larger energy difference gives a more blue photon, a smaller one — more red (ΔE = hf).

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