QNT-26

Stefan–Boltzmann

Hemispheric exitance.

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GoverningStefan–Boltzmann

Governing equation

j=\\sigma T^4

where

T: T (K)
j: Stefan–Boltzmann (kW/m²)

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-26 — Stefan–Boltzmann) is the form associated with Stefan–Boltzmann. Working symbols: $T$ $\rightarrow$ $j$ . Hemispheric exitance. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

j

from

T

in Quantum mechanics via

j=\\sigma T^4

Hemispheric exitance. 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

T = 5800.000\,\mathrm{K}

, the governing relation

j=\\sigma T^4

yields

j = 64169.059\,\mathrm{kW/m^{2}}

. 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

T T5800 K

Outputs

Stefan–Boltzmann j64169.059 kW/m²

Reading speed

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Narration of this film

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

Hemispheric exitance. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube