QNT-21

Rydberg photon

Hydrogen series line.

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GoverningRydberg photon

Governing equation

1/\\lambda=R(1/n_1^2-1/n_2^2)

where

n1: n1 (—)
n2: n2 (—)
lam: Rydberg photon (nm)

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-21 — Rydberg photon) is the form associated with Rydberg photon. Working symbols: $n1$ , $n2$ $\rightarrow$ $lam$ . Hydrogen series line. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

lam

from

n1

n2

in Quantum mechanics via

1/\\lambda=R(1/n_1^2-1/n_2^2)

Hydrogen series line. 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

n1 = 2.000\,\mathrm{—}

n2 = 4.000\,\mathrm{—}

, the governing relation

1/\\lambda=R(1/n_1^2-1/n_2^2)

yields

lam = 486.174\,\mathrm{nm}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

n1 n12 —n2 n24 —

Outputs

Rydberg photon lam486.174 nm

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Hydrogen series line. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube