自然单位制
總結表格

| 單位制物理量 | 普朗克> 有理化 | 普朗克> 非理化 | 史東納 | 原子> 哈特里 | 原子> 芮得柏 | 「自然」> 有理化 | 「自然」> 非理化 | 量子色動力學> 原始 | 量子色動力學> 有理化 | 量子色動力學> 非理化 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 光速    c\, |  1\, |  1\, |  1\, |  {\frac {1}{\alpha }}\  |  {\frac {2}{\alpha }}\  |  1\, |  1\, |  1\, |  1\, |  1\, |
| 約化普朗克常數    \hbar ={\frac {h}{2\pi }} |  1\, |  1\, |  {\frac {1}{\alpha }}\  |  1\, |  1\, |  1\, |  1\, |  1\, |  1\, |  1\, |
| 基本電荷    e\, |  {\sqrt {4\pi \alpha }}\, |  {\sqrt {\alpha }}\, |  1\, |  1\, |  {\sqrt {2}}\, |  {\sqrt {4\pi \alpha }} |  {\sqrt {\alpha }} |  1\, |  {\sqrt {4\pi \alpha }}\, |  {\sqrt {\alpha }}\, |
| 電常數    \varepsilon _{0}\, |  1\, |  {\frac {1}{4\pi }} |  {\frac {1}{4\pi }} |  {\frac {1}{4\pi }} |  {\frac {1}{4\pi }} |  1\, |  {\frac {1}{4\pi }} |  {\frac {1}{4\pi \alpha }} |  1\, |  {\frac {1}{4\pi }} |
| 磁常數    \mu _{0}={\frac {1}{\epsilon _{0}c^{2}}}\, |  1\, |  4\pi  |  4\pi  |  4\pi \alpha ^{2} |  \pi \alpha ^{2} |  1\, |  4\pi  |  4\pi \alpha  |  1\, |  4\pi  |
| 自由空間阻抗    Z_{0}={\frac {1}{\epsilon _{0}c}}=\mu _{0}c\, |  1\, |  4\pi  |  4\pi  |  4\pi \alpha  |  2\pi \alpha  |  1\, |  4\pi  |  4\pi \alpha  |  1\, |  4\pi  |
| 庫侖常數    k_{e}={\frac {1}{4\pi \epsilon _{0}}}\, |  {\frac {1}{4\pi }} |  1\, |  1\, |  1\, |  1\, |  {\frac {1}{4\pi }} |  1\, |  \alpha  |  {\frac {1}{4\pi }} |  1\, |
| 萬有引力常數    G\, |  {\frac {1}{4\pi }} |  1\, |  1\, |  {\frac {\alpha _{\text{G}}}{\alpha }}\, |  {\frac {8\alpha _{\text{G}}}{\alpha }}\, |  {\frac {\alpha _{\text{G}}}{{m_{\text{e}}}^{2}}}\, |  {\frac {\alpha _{\text{G}}}{{m_{\text{e}}}^{2}}}\, |  \mu ^{2}\alpha _{\text{G}} |  \mu ^{2}\alpha _{\text{G}} |  \mu ^{2}\alpha _{\text{G}} |
玻茲曼常數    k_{\text{B}}\,:  1\,
| 質子質量    m_{\text{p}}\, |  \mu {\sqrt {4\pi \alpha _{\text{G}}}}\, |  \mu {\sqrt {\alpha _{\text{G}}}}\, |  \mu {\sqrt {\frac {\alpha _{\text{G}}}{\alpha }}}\, |  \mu \, |  {\frac {\mu }{2}}\, |  938{\text{ MeV}} |  938{\text{ MeV}} |  1\, |  1\, |  1\, |
| 電子質量    m_{\text{e}}\, |  {\sqrt {4\pi \alpha _{\text{G}}}}\, |  {\sqrt {\alpha _{\text{G}}}}\, |  {\sqrt {\frac {\alpha _{\text{G}}}{\alpha }}}\, |  1\, |  {\frac {1}{2}}\, |  511{\text{ keV}} |  511{\text{ keV}} |  {\frac {1}{\mu }} |  {\frac {1}{\mu }} |  {\frac {1}{\mu }} |
| 約瑟夫森常數    K_{\text{J}}={\frac {e}{\pi \hbar }}\, |  {\sqrt {\frac {4\alpha }{\pi }}}\, |  {\frac {\sqrt {\alpha }}{\pi }}\, |  {\frac {\alpha }{\pi }}\, |  {\frac {1}{\pi }}\, |  {\frac {\sqrt {2}}{\pi }}\, |  {\sqrt {\frac {4\alpha }{\pi }}}\, |  {\frac {\sqrt {\alpha }}{\pi }}\, |  {\frac {1}{\pi }}\, |  {\sqrt {\frac {4\alpha }{\pi }}}\, |  {\frac {\sqrt {\alpha }}{\pi }}\, |
| 馮克利金常數    R_{\text{K}}={\frac {2\pi \hbar }{e^{2}}}\, |  {\frac {1}{2\alpha }} |  {\frac {2\pi }{\alpha }}\, |  {\frac {2\pi }{\alpha }}\, |  2\pi \, |  \pi \, |  {\frac {1}{2\alpha }} |  {\frac {2\pi }{\alpha }} |  2\pi \, |  {\frac {1}{2\alpha }} |  {\frac {2\pi }{\alpha }}\, |
| 斯特凡-波耳茲曼常數    \sigma ={\frac {\pi ^{2}k_{\text{B}}^{4}}{60\hbar ^{3}c^{2}}}\, |  {\frac {\pi ^{2}}{60}}\, |  {\frac {\pi ^{2}}{60}}\, |  {\frac {\pi ^{2}\alpha ^{3}}{60}}\, |  {\frac {\pi ^{2}\alpha ^{2}}{60}}\, |  {\frac {\pi ^{2}\alpha ^{2}}{240}}\, |  {\frac {\pi ^{2}}{60}}\, |  {\frac {\pi ^{2}}{60}}\, |  {\frac {\pi ^{2}}{60}}\, |  {\frac {\pi ^{2}}{60}}\, |  {\frac {\pi ^{2}}{60}}\, |
其中，
\alpha  是精細結構常數，7.2973525376×10-3 = (137.035999679)−1，
\alpha _{G} 是重力耦合常數（英语：）， (m_{e}/m_{Planck})^{2}\approx 1.7518\times 10^{-45},
\mu  是質子電子質量比（英语：），大約為1836.15267247.