ATM-28

H-like ionisation

Series limit. He⁺ is 54.4 eV.

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Atomicionization

Governing equation

I=13.6 Z^2~\mathrm{eV}

where

Z: Z (—)
I: Ionisation (eV)

Lecture brief

Historical brief

Balmer, Rydberg, Bohr (1913), fine structure, Zeeman and Stern–Gerlach built the spectrum of one atom. The lab computes levels, selection and magnetic splitting. This sheet (ATM-28 — H-like ionisation) is the form associated with ionization. Working symbols: $Z$ $\rightarrow$ $I$ . Series limit. He⁺ is 54.4 eV.

Purpose

Purpose: compute

I

from

Z

in Atomic physics via

I=13.6 Z^2~\mathrm{eV}

Series limit. He⁺ is 54.4 eV. Use it when a real atomic physics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

Z = 1.000\,\mathrm{—}

, the governing relation

I=13.6 Z^2~\mathrm{eV}

yields

I = 13.60\,\mathrm{eV}

. Series limit. He⁺ is 54.4 eV. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Z Z1 —

Outputs

Ionisation I13.60 eV

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Narration of this film

Series limit. He⁺ is 54.4 eV.

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