QNT-13

Planck relation

E = h f = ħ ω. A quantum of an oscillator of frequency f.

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QuantaPlanck

Governing equation

E=hf=\hbar\omega

where

f: Frequency (Hz)
E: Photon energy (eV)

Lecture brief

Historical brief

Planck (1900), Einstein’s photoelectric law, Bohr, de Broglie, Heisenberg and Schrödinger’s 1926 equation rebuilt matter as amplitude. These sheets are the first solvable models: wells, spin, tunneling, uncertainty. This sheet (QNT-13 — Planck relation) is the form associated with Planck. Working symbols: $f$ $\rightarrow$ $E$ . The ultraviolet catastrophe dies when energy is counted in packets hf.

Purpose

Purpose: compute

E

from

f

in Quantum mechanics via

E=hf=\hbar\omega

E = h f = ħ ω. A quantum of an oscillator of frequency f. Use it when a real quantum mechanics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

f = 5.000e+14\,\mathrm{Hz}

, the governing relation

E=hf=\hbar\omega

yields

E = 2.068\,\mathrm{eV}

. A spectrum, rungs of hf, a fading tail. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Frequency f500000000000000 Hz

Outputs

Photon energy E2.068 eV

Reading speed

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Narration of this film

A spectrum, rungs of hf, a fading tail.

The ultraviolet catastrophe dies when energy is counted in packets hf.

Reading speed

Watch on YouTube