Leunità di misura di Planck derivate sono quelle unità di misura derivate dalla combinazione delleunità di Planck fondamentali, come lalunghezza, lamassa e iltempo.

Unità derivate di Planck approssimate

Dimensione	Formula	Espressione		Valore, nelSI approssimata
		Versione di Lorentz–Heaviside[1]	Versione gaussiana[2][3][4][5]	Valore nelSI Lorentz-Heaviside	Valore nelSI Gaussiana
Proprietà meccanico-fisiche
Area di Planck	Area${\displaystyle {\left[L\right]}^2}$	${\displaystyle l_{\text{P}}^2=\frac{4\pi \hslash G}{c^3}}$	${\displaystyle l_{\text{P}}^2=\frac{\hslash G}{c^3}}$	${\displaystyle 3,282688\cdot {10}^{-69}{m}^2}$	${\displaystyle 2,612280\cdot {10}^{-70}{m}^2}$
Volume di Planck	Volume${\displaystyle {\left[L\right]}^3}$	${\displaystyle l_{\text{P}}^3=\sqrt{\frac{64{\pi }^3{\hslash }^3{G}^3}{c^9}}}$	${\displaystyle l_{\text{P}}^3={\left(\frac{\hslash G}{c^3}\right)}^{\frac{3}{2}}=\sqrt{\frac{{\hslash }^3{G}^3}{c^9}}}$	${\displaystyle 1,880808\cdot {10}^{-103}{m}^3}$	${\displaystyle 4,222111\cdot {10}^{-105}{m}^3}$
Velocità di Planck	Velocità${\displaystyle \left[L\right]{\left[T\right]}^{-1}}$	${\displaystyle v_{\text{P}}=\frac{l_{\text{P}}}{t_{\text{P}}}=c}$		${\displaystyle \mathrm{299.792.458}\frac{m}{s}}$
Planck Angolare	Radiante${\displaystyle \left[L\right]{\left[L\right]}^{-1}\to }$adimensionale	${\displaystyle {\theta }_{\text{P}}=\frac{l_{\text{P}}}{l_{\text{P}}}=1}$		${\displaystyle 1\mathrm{r}\mathrm{a}\mathrm{d}}$
Planck steradiante	Angolo solido${\displaystyle {\left[L\right]}^2{\left[L\right]}^{-2}\to }$ adimensionale	${\displaystyle {\theta }_{\text{P}}^2=\frac{l_{\text{P}}^2}{l_{\text{P}}^2}=1}$		${\displaystyle 1\mathrm{s}\mathrm{r}}$
Quantità di moto di Planck	Quantità di moto${\displaystyle \left[L\right]\left[M\right]{\left[T\right]}^{-1}}$	${\displaystyle m_{\text{P}}c=\frac{\hslash }{l_{\text{P}}}=\sqrt{\frac{\hslash c^3}{4\pi G}}}$	${\displaystyle m_{\text{P}}c=\frac{\hslash }{l_{\text{P}}}=\sqrt{\frac{\hslash c^3}{G}}}$	${\displaystyle 1,840608\mathrm{N}\cdot s}$	${\displaystyle 6,524785kg\cdot \frac{m}{s}}$
Energia di Planck	Energia${\displaystyle \left[M\right]{\left[L\right]}^2{\left[T\right]}^{-2}}$	${\displaystyle E_{\text{P}}=m_{\text{P}}{v}_{\text{P}}^2=\frac{\hslash }{t_{\text{P}}}=\sqrt{\frac{\hslash c^5}{4\pi G}}}$	${\displaystyle E_{\text{P}}=m_{\text{P}}{c}^2=\frac{\hslash }{t_{\text{P}}}=\sqrt{\frac{\hslash c^5}{G}}}$	${\displaystyle 5.518004\cdot {10}^8\mathrm{J}}$${\displaystyle 153,278k\mathrm{W}\cdot h}$ ${\displaystyle 3,444067\cdot {10}^{18}Ge\mathrm{V}}$	${\displaystyle 1,956081\cdot {10}^9\mathrm{J}}$${\displaystyle 543,356k\mathrm{W}\cdot h}$ ${\displaystyle 1,220890\cdot {10}^{28}e\mathrm{V}}$
Forza di Planck	Forza${\displaystyle \left[M\right]\left[L\right]{\left[T\right]}^{-2}}$	${\displaystyle F_{\text{P}}=m_{\text{P}}{a}_{\text{P}}=\frac{m_{\text{P}}c}{t_{\text{P}}}=\frac{c^4}{4\pi G}}$	${\displaystyle F_{\text{P}}=\frac{E_{\text{P}}}{l_{\text{P}}}=\frac{\hslash }{l_{\text{P}}{t}_{\text{P}}}=\frac{c^4}{G}}$	${\displaystyle 9,630908\cdot {10}^{42}\mathrm{N}}$	${\displaystyle 1,210256\cdot {10}^{44}\mathrm{N}}$
Potenza di Planck	Potenza${\displaystyle \left[M\right]{\left[L\right]}^2{\left[T\right]}^{-3}}$	${\displaystyle P_{\text{P}}=\frac{E_{\text{P}}}{t_{\text{P}}}=\frac{\hslash }{t_{\text{P}}^2}=\frac{c^5}{4\pi G}}$	${\displaystyle P_{\text{P}}=\frac{E_{\text{P}}}{t_{\text{P}}}=\frac{c^5}{G}}$	${\displaystyle 2,887274\cdot {10}^{51}\mathrm{W}}$	${\displaystyle 3,628255\cdot {10}^{52}\mathrm{W}}$
Intensità radiante di Planck	Intensità angolare${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-3}}$	${\displaystyle \frac{P_{\text{P}}}{{\theta }_{\text{P}}^2}=\frac{c^5}{4\pi G}}$	${\displaystyle {\iota }_{\text{P}}=\frac{P_{\text{P}}}{{\theta }_{\text{P}}^2}=\frac{c^5}{G}}$	${\displaystyle 2,887274\cdot {10}^{51}\frac{\mathrm{W}}{\mathrm{s}\mathrm{r}}}$	${\displaystyle 3,628255\cdot {10}^{52}\frac{\mathrm{W}}{\mathrm{s}\mathrm{r}}}$
Intensità di Planck	Intensità${\displaystyle \left[M\right]{\left[T\right]}^{-3}}$	${\displaystyle i_{\text{P}}=\frac{P_{\text{P}}}{l_{\text{P}}^2}=\frac{c^8}{16{\pi }^2\hslash G^2}}$	${\displaystyle i_{\text{P}}={\rho }_{\text{P}}^{E}c=\frac{P_{\text{P}}}{l_{\text{P}}^2}=\frac{c^8}{\hslash G^2}}$	${\displaystyle 8,795455\cdot {10}^{119}\frac{\mathrm{W}}{m^2}}$	${\displaystyle 1,388923\cdot {10}^{122}\frac{\mathrm{W}}{m^2}}$
Densità di Planck	Densità${\displaystyle \left[M\right]{\left[L\right]}^{-3}}$	${\displaystyle {\rho }_{\text{P}}=\frac{m_{\text{P}}}{l_{\text{P}}^3}=\frac{\hslash t_{\text{P}}}{l_{\text{P}}^5}=\frac{c^5}{16{\pi }^2\hslash G^2}}$	${\displaystyle {\rho }_{\text{P}}=\frac{m_{\text{P}}}{l_{\text{P}}^3}=\frac{c^5}{\hslash G^2}}$	${\displaystyle 3,264346\cdot {10}^{94}\frac{kg}{m^3}}$	${\displaystyle 5,154849\cdot {10}^{96}\frac{kg}{m^3}}$
Densità energetica di Planck	Densità di energia${\displaystyle {\left[L\right]}^{-1}\left[M\right]{\left[T\right]}^{-2}}$	${\displaystyle u_{\text{P}}=\frac{E_{\text{P}}}{l_{\text{P}}^3}=\frac{c^7}{16{\pi }^2\hslash G^2}}$	${\displaystyle u_{\text{P}}=\frac{E_{\text{P}}}{l_{\text{P}}^3}=\frac{c^7}{\hslash G^2}}$	${\displaystyle 2,933848\cdot {10}^{111}\frac{\mathrm{J}}{m^3}}$	${\displaystyle 4,632947\cdot {10}^{113}\frac{\mathrm{J}}{m^3}}$
Frequenza angolare di Planck	Frequenza${\displaystyle {\left[T\right]}^{-1}}$	${\displaystyle {\omega }_{\text{P}}=\frac{{\theta }_P}{t_{\text{P}}}=\sqrt{\frac{c^5}{4\pi \hslash G}}}$	${\displaystyle {\omega }_P=\frac{{\theta }_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{c^5}{\hslash G}}}$	${\displaystyle 5,232458\cdot {10}^{42}\frac{\mathrm{r}\mathrm{a}\mathrm{d}}{s}}$	${\displaystyle 1,854858\cdot {10}^{43}\frac{\mathrm{r}\mathrm{a}\mathrm{d}}{s}}$
Accelerazione angolare di Planck	Accelerazione angolare${\displaystyle {\left[T\right]}^{-2}}$	${\displaystyle \frac{{\omega }_{\text{P}}}{t_{\text{P}}}=t_{\text{P}}^{-2}=\frac{c^5}{4\pi \hslash G}}$	${\displaystyle \frac{{\omega }_{\text{P}}}{t_{\text{P}}}=t_{\text{P}}^{-2}=\frac{c^5}{\hslash G}}$	${\displaystyle 2,737862\cdot {10}^{85}\frac{\mathrm{r}\mathrm{a}\mathrm{d}}{s^2}}$	${\displaystyle 3,440498\cdot {10}^{86}\frac{\mathrm{r}\mathrm{a}\mathrm{d}}{s^2}}$
Accelerazione di Planck	Accelerazione${\displaystyle \left[L\right]{\left[T\right]}^{-2}}$	${\displaystyle a_{\text{P}}=\frac{v_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{c^7}{4\pi \hslash G}}}$	${\displaystyle a_{\text{P}}=\frac{c}{t_{\text{P}}}=\sqrt{\frac{c^7}{\hslash G}}}$	${\displaystyle 1,568652\cdot {10}^{51}\frac{m}{s^2}}$	${\displaystyle 5,560726\cdot {10}^{51}\frac{m}{s^2}}$
Momento inerziale di Planck	Momento di inerzia${\displaystyle {\left[L\right]}^2\left[M\right]}$	${\displaystyle m_{\text{P}}{l}_{\text{P}}^2=\sqrt{\frac{4\pi {\hslash }^{3}G}{c^5}}}$	${\displaystyle m_{\text{P}}{l}_{\text{P}}^2=\sqrt{\frac{{\hslash }^{3}G}{c^5}}}$	${\displaystyle 2,01544\cdot {10}^{-77}kg\cdot m^2}$	${\displaystyle 5,68546\cdot {10}^{-78}kg\cdot m^2}$
Momento angolare di Planck	Momento angolare${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-1}}$	${\displaystyle {\hslash }_{\text{P}}=m_{\text{P}}{l}_{\text{P}}^2{\omega }_{\text{P}}=l_{\text{P}}{m}_{\text{P}}c=E_{\text{P}}{t}_{\text{P}}=\hslash }$		${\displaystyle 1.054571817\dots \cdot {10}^{-34}\mathrm{J}s}$
Coppia di Planck	Torque${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-2}}$	${\displaystyle {\tau }_{\text{P}}=F_{\text{P}}{l}_{\text{P}}=\frac{{\hslash }_P}{t_{\text{P}}}=\sqrt{\frac{\hslash c^5}{4\pi G}}}$	${\displaystyle {\tau }_{\text{P}}=F_{\text{P}}{l}_{\text{P}}=\frac{{\hslash }_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{\hslash c^5}{G}}}$	${\displaystyle 5,518004\cdot {10}^8\mathrm{N}\cdot m}$	${\displaystyle 1,956081\cdot {10}^9\mathrm{N}\cdot m}$
Pressione di Planck	Pressione${\displaystyle \left[M\right]{\left[L\right]}^{-1}{\left[T\right]}^{-2}}$	${\displaystyle p_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}^2}=\frac{\hslash }{l_{\text{P}}^3{t}_{\text{P}}}=\frac{c^7}{16{\pi }^2\hslash G^2}}$	${\displaystyle p_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}^2}=\frac{c^7}{\hslash G^2}}$	${\displaystyle 2,933848\cdot {10}^{111}\mathrm{P}\mathrm{a}}$	${\displaystyle 4,632947\cdot {10}^{113}\mathrm{P}\mathrm{a}}$
Tensione superficiale di Planck	Tensione superficiale${\displaystyle \left[M\right]{\left[T\right]}^{-2}}$	${\displaystyle \frac{F_{\text{P}}}{l_{\text{P}}}=\sqrt{\frac{c^{11}}{64{\pi }^3\hslash G^3}}}$	${\displaystyle \frac{F_{\text{P}}}{l_{\text{P}}}=\sqrt{\frac{c^{11}}{\hslash G^3}}}$	${\displaystyle 1,680941\cdot {10}^{77}\frac{\mathrm{N}}{m}}$	${\displaystyle 7,488024\cdot {10}^{78}\frac{\mathrm{N}}{m}}$
Forza superficiale universale di Planck	Forza superficiale universale${\displaystyle {\left[L\right]}^{-1}\left[M\right]{\left[T\right]}^{-2}}$	${\displaystyle p_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}^2}=\frac{c^7}{16{\pi }^2\hslash G^2}}$	${\displaystyle p_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}^2}=\frac{c^7}{\hslash G^2}}$	${\displaystyle 2,933848\cdot {10}^{111}\mathrm{P}\mathrm{a}}$	${\displaystyle 4,632947\cdot {10}^{113}\mathrm{P}\mathrm{a}}$
Durezza di indentazione di Planck	Durezza di indentazione${\displaystyle {\left[L\right]}^{-1}\left[M\right]{\left[T\right]}^{-2}}$	${\displaystyle p_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}^2}=\frac{c^7}{16{\pi }^2\hslash G^2}}$	${\displaystyle p_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}^2}=\frac{c^7}{\hslash G^2}}$	${\displaystyle 2,933848\cdot {10}^{111}\mathrm{P}\mathrm{a}}$	${\displaystyle 4,632947\cdot {10}^{113}\mathrm{P}\mathrm{a}}$
Durezza assoluta di Planck	Durezza Assoluta ${\displaystyle {\left[L\right]}^{-1}\left[M\right]{\left[T\right]}^{-2}}$	${\displaystyle \frac{a_{\oplus }}{F_{\text{P}}}=\frac{{}_{9,80665}4\pi G}{c^4}}$	${\displaystyle \frac{a_{\oplus }}{F_{\text{P}}}=\frac{{}_{9,80665}G}{c^4}}$	${\displaystyle 1,01825\cdot {10}^{-42}kg\cdot f}$	${\displaystyle 8,10296\cdot {10}^{-44}kg\cdot f}$
Flusso di massa di Planck	Rapporto di flusso di massa${\displaystyle \left[M\right]{\left[T\right]}^{-1}}$	${\displaystyle {t_r}_{\text{s}}^{-1}=\frac{m_{\text{P}}}{t_{\text{P}}}=\frac{c}{2\pi r_s}=\frac{c^3}{4\pi G}}$	${\displaystyle {t_r}_{\text{s}}^{-1}=\frac{m_{\text{P}}}{t_{\text{P}}}=\frac{2c}{r_s}=\frac{c^3}{G}}$	${\displaystyle 3,212525\cdot {10}^{34}\frac{kg}{s}}$	${\displaystyle 4,036978\cdot {10}^{35}\frac{kg}{s}}$
Viscosità di Planck	viscosità dinamica${\displaystyle {\left[L\right]}^{-1}\left[M\right]{\left[T\right]}^{-1}}$	${\displaystyle {\eta }_{\text{P}}=P_{\text{P}}{t}_{\text{P}}=\sqrt{\frac{c^9}{64{\pi }^3\hslash G^3}}}$	${\displaystyle {\eta }_{\text{P}}=P_{\text{P}}{t}_{\text{P}}=\sqrt{\frac{c^9}{\hslash G^3}}}$	${\displaystyle 5,607015\cdot {10}^{68}\mathrm{P}\mathrm{a}\cdot s}$	${\displaystyle 2,497736\cdot {10}^{70}\mathrm{P}\mathrm{a}\cdot s}$
Viscosità cinematica di Planck	viscosità cinematica${\displaystyle {\left[L\right]}^2{\left[T\right]}^{-1}}$	${\displaystyle \frac{{\eta }_{\text{P}}}{{\rho }_{\text{P}}}=\frac{l_{\text{P}}^2}{t_{\text{P}}}=\sqrt{\frac{4\pi \hslash G}{c}}}$	${\displaystyle \frac{{\eta }_{\text{P}}}{{\rho }_{\text{P}}}=\frac{l_{\text{P}}^2}{t_{\text{P}}}=\sqrt{\frac{\hslash G}{c}}}$	${\displaystyle 1,717653\cdot {10}^{-27}\frac{m^2}{s}}$	${\displaystyle 4,845411\cdot {10}^{-27}\frac{m^2}{s}}$
Portata volumetrica di Planck	Rapporto di flusso volumetrico${\displaystyle {\left[L\right]}^3{\left[T\right]}^{-1}}$	${\displaystyle Q_{\text{P}}=\frac{l_{\text{P}}^3}{t_{\text{P}}}=l_{\text{P}}^2{v}_{\text{P}}=\frac{4\pi \hslash G}{c^2}}$	${\displaystyle Q_{\text{P}}=\frac{l_{\text{P}}^3}{t_{\text{P}}}=l_{\text{P}}^2{v}_{\text{P}}=\frac{\hslash G}{c^2}}$	${\displaystyle 9,841252\cdot {10}^{-61}\frac{m^3}{s}}$	${\displaystyle 7,831419\cdot {10}^{-62}\frac{m^3}{s}}$
Proprietà elettromagnetiche
Corrente di Planck	Corrente elettrica${\displaystyle \left[Q\right]{\left[T\right]}^{-1}}$	${\displaystyle I_{\text{P}}=\frac{q_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{{\epsilon }_0{c}^6}{4\pi G}}}$	${\displaystyle I_{\text{P}}=\frac{q_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{4\pi {\epsilon }_0{c}^6}{G}}}$	${\displaystyle 2,768399\cdot {10}^{24}\mathrm{A}}$	${\displaystyle 3,478873\cdot {10}^{25}\mathrm{A}}$
Forza magnetomotiva di Planck	Corrente elettrica${\displaystyle \left[Q\right]{\left[T\right]}^{-1}}$	${\displaystyle I_{\text{P}}=\frac{q_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{{\epsilon }_0{c}^6}{4\pi G}}}$	${\displaystyle I_{\text{P}}=\frac{q_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{4\pi {\epsilon }_0{c}^6}{G}}}$	${\displaystyle 2,768399\cdot {10}^{24}\mathrm{A}}$	${\displaystyle 3,478873\cdot {10}^{25}\mathrm{A}}$
Tensione di Planck	Tensione${\displaystyle \left[M\right]{\left[L\right]}^2{\left[T\right]}^{-2}{\left[Q\right]}^{-1}}$	${\displaystyle V_{\text{P}}=\frac{E_{\text{P}}}{q_{\text{P}}}=\sqrt{\frac{c^4}{4\pi {\epsilon }_{0}G}}}$		${\displaystyle 1,042940\cdot {10}^{27}\mathrm{V}}$
Forza elettromotiva di Planck	Tensione${\displaystyle \left[M\right]{\left[L\right]}^2{\left[T\right]}^{-2}{\left[Q\right]}^{-1}}$	${\displaystyle {\varphi }_{\text{P}}=V_{\text{P}}=\frac{E_{\text{P}}}{q_{\text{P}}}=\sqrt{\frac{c^4}{4\pi {\epsilon }_{0}G}}}$		${\displaystyle 1.042940\cdot {10}^{27}\mathrm{V}}$
Resistenza di Planck	Resistenza elettrica${\displaystyle \left[M\right]{\left[L\right]}^2{\left[T\right]}^{-1}{\left[Q\right]}^{-2}}$	${\displaystyle Z_{\text{P}}=\frac{V_{\text{P}}}{I_{\text{P}}}=\frac{\hslash }{q_{\text{P}}^2}=\frac{1}{{\epsilon }_{0}c}={\mu }_{0}c=Z_0}$	${\displaystyle Z_{\text{P}}=\frac{V_{\text{P}}}{I_{\text{P}}}=\frac{1}{4\pi {\epsilon }_{0}c}=\frac{Z_0}{4\pi }}$	${\displaystyle 376,730\mathrm{\Omega }}$	${\displaystyle 29,9792458\mathrm{\Omega }}$
Conduttanza di Planck	Conduttanza elettrica${\displaystyle {\left[L\right]}^{-2}{\left[M\right]}^{-1}\left[T\right]{\left[Q\right]}^2}$	${\displaystyle G_{\text{P}}=\frac{1}{R_{\text{P}}}={\epsilon }_{0}c=\frac{1}{Z_0}}$	${\displaystyle G_{\text{P}}=\frac{1}{R_{\text{P}}}=4\pi {\epsilon }_{0}c=\frac{4\pi }{Z_0}}$	${\displaystyle 0,002654\mathrm{S}}$	${\displaystyle 0,0333564095\mathrm{S}}$
Capacità elettrica di Planck	Capacità elettrica${\displaystyle {\left[L\right]}^{-2}{\left[M\right]}^{-1}{\left[T\right]}^2{\left[Q\right]}^2}$	${\displaystyle C_{\text{P}}=\frac{q_{\text{P}}}{V_{\text{P}}}=\frac{l_P}{k_e}=\sqrt{\frac{4\pi {\epsilon }_0^2\hslash G}{c^3}}}$	${\displaystyle C_{\text{P}}=\frac{q_{\text{P}}}{V_{\text{P}}}=\frac{l_P}{k_e}=\sqrt{\frac{16{\pi }^2{\epsilon }_0^2\hslash G}{c^3}}}$	${\displaystyle 5,072985\cdot {10}^{-46}\mathrm{F}}$	${\displaystyle 1,798326\cdot {10}^{-45}\mathrm{F}}$
Permittività di Planck (Costante elettrica)	Permittività elettrica${\displaystyle {\left[L\right]}^{-3}{\left[M\right]}^{-1}{\left[T\right]}^2{\left[Q\right]}^2}$	${\displaystyle {\epsilon }_{\text{P}}=\frac{C_{\text{P}}}{l_{\text{P}}}=\frac{q_{\text{P}}}{V_{\text{P}}{l}_{\text{P}}}=\frac{F_{\text{P}}}{V_{\text{P}}^2}={\epsilon }_0}$	${\displaystyle {\epsilon }_{\text{P}}=\frac{C_{\text{P}}}{l_{\text{P}}}=\frac{F_{\text{P}}}{V_{\text{P}}^2}=\frac{1}{k_{\text{e}}}=4\pi {\epsilon }_0}$	${\displaystyle 8,854187813\cdot {10}^{-12}\frac{\mathrm{F}}{m}}$	${\displaystyle 1,11265006\cdot {10}^{-10}\frac{\mathrm{F}}{m}}$
Permeabilità di Planck (Costante magnetica)	Permeabilità magnetica${\displaystyle \left[L\right]\left[M\right]{\left[Q\right]}^{-2}}$	${\displaystyle {\mu }_{\text{P}}=\frac{L_{\text{P}}}{l_{\text{P}}}=\frac{{\varphi }_{\text{P}}^B}{l_{\text{P}}}=\frac{1}{{\epsilon }_0{c}^2}={\mu }_0}$	${\displaystyle {\mu }_{\text{P}}=\frac{L_{\text{P}}}{l_{\text{P}}}=\frac{V_{\text{P}}}{{I_m}_{\text{P}}}=\frac{1}{4\pi {\epsilon }_0{c}^2}=\frac{{\mu }_0}{4\pi }}$	${\displaystyle 1,25663706212\frac{\mu \mathrm{H}}{m}}$	${\displaystyle 10,0000000055\frac{\mu \mathrm{H}}{m}}$
Induttanza elettrica di Planck	Induttanza${\displaystyle {\left[L\right]}^2\left[M\right]{\left[Q\right]}^{-2}}$	${\displaystyle L_{\text{P}}=\frac{E_{\text{P}}}{I_{\text{P}}}=\frac{m_{\text{P}}{l}_{\text{P}}^2}{q_{\text{P}}^2}=\sqrt{\frac{4\pi \hslash G}{{\epsilon }_0^2{c}^7}}}$	${\displaystyle L_{\text{P}}=\frac{E_{\text{P}}}{I_{\text{P}}^2}=\frac{m_{\text{P}}{l}_{\text{P}}^2}{q_{\text{P}}^2}=\sqrt{\frac{G\hslash }{16{\pi }^2{\epsilon }_0^2{c}^7}}}$	${\displaystyle 7,199871\cdot {10}^{-41}\mathrm{H}}$	${\displaystyle 1,61625518\cdot {10}^{-42}\mathrm{H}}$
Resistività elettrica di Planck	Resistività elettrica${\displaystyle {\left[L\right]}^3\left[M\right]{\left[T\right]}^{-1}{\left[Q\right]}^{-2}}$	${\displaystyle Z_{\text{P}}^{\rho }=Z_{\text{P}}{l}_{\text{P}}=t_{\text{P}}{k}_{\text{e}}=\sqrt{\frac{4\pi \hslash G}{{\epsilon }_0^2{c}^5}}}$	${\displaystyle Z_{\text{P}}^{\rho }=Z_{\text{P}}{l}_{\text{P}}=t_{\text{P}}{k}_{\text{e}}=\sqrt{\frac{\hslash G}{16{\pi }^2{\epsilon }_0^2{c}^5}}}$	${\displaystyle 2,15847\cdot {10}^{-32}\mathrm{\Omega }\cdot m}$	${\displaystyle 4,84541\cdot {10}^{-34}\mathrm{\Omega }\cdot m}$
Conduttività elettrica di Planck	Conduttività elettrica${\displaystyle {\left[L\right]}^{-3}{\left[M\right]}^{-1}\left[T\right]{\left[Q\right]}^2}$	${\displaystyle {\sigma }_{\text{P}}=\frac{1}{Z_{\text{P}}^{\rho }}=\sqrt{\frac{{\epsilon }_0^2{c}^5}{4\pi \hslash G}}}$	${\displaystyle {\sigma }_{\text{P}}=\frac{1}{Z_{\text{P}}^{\rho }}=\sqrt{\frac{16{\pi }^2{\epsilon }_0^2{c}^5}{\hslash G}}}$	${\displaystyle 4,632918\cdot {10}^{31}\frac{\mathrm{S}}{m}}$	${\displaystyle 2,063809\cdot {10}^{33}\frac{\mathrm{S}}{m}}$
Densità di carica di Planck	Densità di carica${\displaystyle {\left[L\right]}^{-3}\left[Q\right]}$	${\displaystyle {{\rho }_e}_{\text{P}}=\frac{q_{\text{P}}}{l_{\text{P}}^3}=\sqrt{\frac{{\epsilon }_0{c}^{10}}{64{\pi }^3{\hslash }^2{G}^3}}}$	${\displaystyle {{\rho }_e}_{\text{P}}=\frac{q_{\text{P}}}{l_{\text{P}}^3}=\sqrt{\frac{4\pi {\epsilon }_0{c}^{10}}{{\hslash }^2{G}^3}}}$	${\displaystyle 2,813056\cdot {10}^{86}\frac{\mathrm{C}}{m^3}}$	${\displaystyle 4,442200\cdot {10}^{86}\frac{\mathrm{C}}{m^3}}$
Forza del campo elettrico di Planck	Campo elettrico ${\displaystyle \left[L\right]\left[M\right]{\left[T\right]}^{-2}{\left[Q\right]}^{-1}}$	${\displaystyle {\mathbf{E}}_{\text{P}}=\frac{F_{\text{P}}}{q_{\text{P}}}=\sqrt{\frac{c^7}{16{\pi }^2{\epsilon }_0\hslash G^2}}}$	${\displaystyle {\mathbf{E}}_{\text{P}}=\frac{F_{\text{P}}}{q_{\text{P}}}=\sqrt{\frac{c^7}{4\pi {\epsilon }_0\hslash G^2}}}$	${\displaystyle 1,820306\cdot {10}^{61}\frac{\mathrm{V}}{m}}$	${\displaystyle 6,452817\cdot {10}^{61}\frac{\mathrm{V}}{m}}$
Forza del campo magnetico di Planck	Campo magnetico ${\displaystyle {\left[L\right]}^{-1}{\left[T\right]}^{-1}\left[Q\right]}$	${\displaystyle {\mathbf{H}}_{\text{P}}=\frac{I_{\text{P}}}{l_{\text{P}}}=\sqrt{\frac{{\epsilon }_0{c}^9}{16{\pi }^2\hslash G^2}}}$	${\displaystyle {\mathbf{H}}_{\text{P}}=\frac{I_{\text{P}}}{l_{\text{P}}}=\sqrt{\frac{4\pi {\epsilon }_0{c}^9}{\hslash G^2}}}$	${\displaystyle 4,831855\cdot {10}^{58}\frac{\mathrm{A}}{m}}$	${\displaystyle 2,152428\cdot {10}^{60}\frac{\mathrm{A}}{m}}$
Induzione elettrica di Planck	Corrente di spostamento${\displaystyle {\left[L\right]}^{-2}{\left[T\right]}^{-1}\left[Q\right]}$	${\displaystyle {\mathbf{D}}_{\text{P}}=\frac{q_{\text{P}}}{l_{\text{P}}^2}=\sqrt{\frac{{\epsilon }_0{c}^7}{16{\pi }^2\hslash G^2}}}$	${\displaystyle {\mathbf{D}}_{\text{P}}=\frac{q_{\text{P}}}{l_{\text{P}}^2}=\sqrt{\frac{4\pi {\epsilon }_0{c}^7}{\hslash G^2}}}$	${\displaystyle 1,611733\cdot {10}^{50}\frac{\mathrm{C}}{m^2}}$	${\displaystyle 7,179727\cdot {10}^{51}\frac{\mathrm{C}}{m^2}}$
Induzione magnetica di Planck	Campo magnetico${\displaystyle \left[M\right]{\left[T\right]}^{-1}{\left[Q\right]}^{-1}}$	${\displaystyle {\mathbf{B}}_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}{I}_{\text{P}}}=\sqrt{\frac{c^5}{16{\pi }^2{\epsilon }_0\hslash G^2}}}$	${\displaystyle {\mathbf{B}}_{\text{P}}=\frac{F_{\text{P}}}{l_{\text{P}}{I}_{\text{P}}}=\frac{\hslash }{q_{\text{P}}{l}_{\text{P}}^2}=\sqrt{\frac{c^5}{4\pi {\epsilon }_0\hslash G^2}}}$	${\displaystyle 6,071888\cdot {10}^{52}\mathrm{T}}$	${\displaystyle 2,152428\cdot {10}^{53}\mathrm{T}}$
Flusso elettrico di Planck	Flusso magnetico${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-1}{\left[Q\right]}^{-1}}$	${\displaystyle {\varphi }_{\text{P}}^E={\mathbf{E}}_{\text{P}}{l}_{\text{P}}^2={\varphi }_{\text{P}}{l}_{\text{P}}=\sqrt{\frac{\hslash c}{{\epsilon }_0}}}$	${\displaystyle {\varphi }_{\text{P}}^E={\mathbf{E}}_{\text{P}}{l}_{\text{P}}^2={\varphi }_{\text{P}}{l}_{\text{P}}=\sqrt{\frac{\hslash c}{4\pi {\epsilon }_0}}}$	${\displaystyle 5,975498\cdot {10}^{-8}\mathrm{V}\cdot m}$	${\displaystyle 1,685657\cdot {10}^{-8}\mathrm{V}\cdot m}$
Flusso magnetico di Planck	Flusso magnetico${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-1}{\left[Q\right]}^{-1}}$	${\displaystyle {\varphi }_{\text{P}}^B={\mathbf{B}}_{\text{P}}{l}_{\text{P}}^2={\mathbf{A}}_{\text{P}}{l}_{\text{P}}=\sqrt{\frac{\hslash }{{\epsilon }_{0}c}}}$	${\displaystyle {\varphi }_{\text{P}}^B=\frac{E_{\text{P}}}{I_{\text{P}}}={\mathbf{A}}_{\text{P}}{l}_{\text{P}}=\frac{\hslash }{q_{\text{P}}}=\sqrt{\frac{\hslash }{4\pi {\epsilon }_{0}c}}}$	${\displaystyle 1,993211\cdot {10}^{-16}\mathrm{W}\mathrm{b}}$	${\displaystyle 5,622746\cdot {10}^{-17}\mathrm{W}\mathrm{b}}$
Potenziale elettrico di Planck	Tensione${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-2}{\left[Q\right]}^{-1}}$	${\displaystyle {\varphi }_{\text{P}}=V_{\text{P}}=\frac{E_{\text{P}}}{q_{\text{P}}}=\sqrt{\frac{c^4}{4\pi {\epsilon }_{0}G}}}$		${\displaystyle 1,042940\cdot {10}^{27}\mathrm{V}}$
Potenziale magnetico di Planck	Corrente magnetica${\displaystyle \left[L\right]\left[M\right]{\left[T\right]}^{-1}{\left[Q\right]}^{-1}}$	${\displaystyle {\mathbf{A}}_{\text{P}}=\frac{E_{\text{P}}}{{q_m}_{\text{P}}}=\frac{F_{\text{P}}}{I_{\text{P}}}=\frac{V_{\text{P}}}{v_{\text{P}}}={\mathbf{B}}_{\text{P}}{l}_{\text{P}}=\frac{\hslash }{q_{\text{P}}{l}_{\text{P}}}=\sqrt{\frac{c^2}{4\pi {\epsilon }_{0}G}}}$		${\displaystyle 3,478873\cdot {10}^{18}\mathrm{T}\cdot m}$
Densità di corrente di Planck	Densità di corrente elettrica${\displaystyle {\left[L\right]}^{-2}{\left[T\right]}^{-1}\left[Q\right]}$	${\displaystyle {\mathbf{J}}_{\text{P}}=\frac{I_{\text{P}}}{l_{\text{P}}^2}={{\rho }_e}_{\text{P}}{v}_{\text{P}}=\sqrt{\frac{{\epsilon }_0{c}^{12}}{64{\pi }^3{\hslash }^2{G}^3}}}$	${\displaystyle {\mathbf{J}}_{\text{P}}=\frac{I_{\text{P}}}{l_{\text{P}}^2}={{\rho }_e}_{\text{P}}{v}_{\text{P}}=\sqrt{\frac{4\pi {\epsilon }_0{c}^{12}}{{\hslash }^2{G}^3}}}$	${\displaystyle 8,433329\cdot {10}^{92}\frac{\mathrm{A}}{m^2}}$	${\displaystyle 1,331738\cdot {10}^{95}\frac{\mathrm{A}}{m^2}}$
Momento elettrico di Planck	Dipolo elettrico ${\displaystyle \left[L\right]\left[Q\right]}$	${\displaystyle d_{\text{P}}=q_{\text{P}}{l}_{\text{P}}=\sqrt{\frac{4\pi {\epsilon }_0{\hslash }^{2}G}{c^2}}}$		${\displaystyle 3,031361\cdot {10}^{-53}\mathrm{C}\cdot m}$
Momento magnetico di Planck	Dipolo magnetico ${\displaystyle {\left[L\right]}^2{\left[T\right]}^{-1}\left[Q\right]}$	${\displaystyle {{\mu }_d}_{\text{P}}={q_m}_{\text{P}}{l}_{\text{P}}=I_{\text{P}}{l}_{\text{P}}^2=\sqrt{4\pi {\epsilon }_0{\hslash }^{2}G}}$		${\displaystyle 9,087791\cdot {10}^{-45}\frac{\mathrm{J}}{\mathrm{T}}}$
Monopolo magnetico di Planck	Carica magnetica${\displaystyle \left[L\right]{\left[T\right]}^{-1}\left[Q\right]}$	${\displaystyle {q_m}_{\text{P}}=q_{\text{P}}{v}_P=\frac{F_{\text{P}}}{{\mathbf{B}}_{\text{P}}}=\sqrt{{\epsilon }_0\hslash c^3}}$	${\displaystyle {q_m}_{\text{P}}=q_{\text{P}}{v}_P=\frac{4\pi }{{\mu }_0}{\varphi }_{\text{P}}^B=\sqrt{4\pi {\epsilon }_0\hslash c^3}}$	${\displaystyle 1.586147\cdot {10}^{-10}\frac{\mathrm{N}}{\mathrm{T}}}$	${\displaystyle 5.622746\cdot {10}^{-10}\mathrm{A}\cdot m}$
Corrente magnetica di Planck	Corrente magnetica${\displaystyle \left[L\right]{\left[T\right]}^{-2}\left[Q\right]}$	${\displaystyle {I_m}_{\text{P}}=\frac{{q_m}_{\text{P}}}{t_{\text{P}}}=q_{\text{P}}{a}_{\text{P}}=I_{\text{P}}{v}_{\text{P}}=\sqrt{\frac{{\epsilon }_0{c}^8}{4\pi G}}}$	${\displaystyle {I_m}_{\text{P}}=\frac{{q_m}_{\text{P}}}{t_{\text{P}}}=q_{\text{P}}{a}_{\text{P}}=\sqrt{\frac{4\pi {\epsilon }_0{c}^8}{G}}}$	${\displaystyle 8,29945\cdot {10}^{32}\frac{\mathrm{V}\cdot m}{\mathrm{H}}}$	${\displaystyle 1,04294\cdot {10}^{34}\frac{\mathrm{W}}{\mathrm{T}\cdot m}}$
Densità di corrente magnetica di Planck	Corrente magnetica${\displaystyle {\left[L\right]}^{-1}{\left[T\right]}^{-2}\left[Q\right]}$	${\displaystyle \frac{{I_m}_{\text{P}}}{l_{\text{P}}^2}={\mathbf{J}}_{\text{P}}{v}_{\text{P}}=\frac{I_{\text{P}}}{l_{\text{P}}{t}_{\text{P}}}=\sqrt{\frac{{\epsilon }_0{c}^{14}}{64{\pi }^3{\hslash }^2{G}^3}}}$	${\displaystyle \frac{{I_m}_{\text{P}}}{l_{\text{P}}^2}={\mathbf{J}}_{\text{P}}{v}_{\text{P}}=\frac{I_{\text{P}}}{l_{\text{P}}{t}_{\text{P}}}=\sqrt{\frac{4\pi {\epsilon }_0{c}^{14}}{{\hslash }^2{G}^3}}}$	${\displaystyle 2,52825\cdot {10}^{101}\frac{\mathrm{V}}{m\cdot \mathrm{H}}}$	${\displaystyle 3,99245\cdot {10}^{103}\frac{\mathrm{V}}{m\cdot \mathrm{H}}}$
Carica specifica di Planck	carica specifica${\displaystyle {\left[M\right]}^{-1}\left[Q\right]}$	${\displaystyle q_{r_{\text{s}}}=\frac{q_{\text{P}}}{m_{\text{P}}}=\sqrt{\frac{2\pi r_{\text{s}}}{{\mu }_0}}=\sqrt{\frac{G}{k_e}}=\sqrt{4\pi {\epsilon }_{0}G}}$		${\displaystyle 8.617517\cdot {10}^{-11}\frac{\mathrm{H}\mathrm{z}}{\mathrm{T}}}$
Monopolo specifica di Planck[non chiaro]	carica magnetica specifica${\displaystyle \left[L\right]{\left[T\right]}^{-1}{\left[M\right]}^{-1}\left[Q\right]}$	${\displaystyle q_{r_{\text{s}}}c=\frac{q_{\text{P}}c}{m_{\text{P}}}=\frac{a_{\text{P}}}{{\mathbf{B}}_{\text{P}}}=\sqrt{4\pi {\epsilon }_0{c}^{2}G}}$	${\displaystyle q_{r_{\text{s}}}c=\frac{q_{\text{P}}c}{m_{\text{P}}}=\frac{a_{\text{P}}}{{\mathbf{B}}_{\text{P}}}=\sqrt{\frac{4\pi G}{{\mu }_0}}}$	${\displaystyle 0,0258347\frac{m}{s^2\cdot \mathrm{T}}}$	${\displaystyle 0,0258347\frac{m}{s^2\cdot \mathrm{T}}}$
Proprietà termodinamiche
Temperatura di Planck in 2π	Temperatura${\displaystyle \left[\mathrm{\Theta }\right]}$	${\displaystyle {\mathrm{\Theta }}_{\text{P}}^{{}_{2\pi }}=2\pi {\mathrm{\Theta }}_{\text{P}}=\frac{2\pi E_{\text{P}}}{k_{\text{B}}}=\sqrt{\frac{\pi \hslash c^5}{G{k}_{\text{B}}^2}}}$	${\displaystyle {\mathrm{\Theta }}_{\text{P}}^{{}_{2\pi }}=2\pi {\mathrm{\Theta }}_{\text{P}}=\frac{2\pi m_{\text{P}}{c}^2}{k_{\text{B}}}=\sqrt{\frac{\pi \hslash c^5}{G{k}_{\text{B}}^2}}}$	${\displaystyle 2,511185\cdot {10}^{32}\mathrm{K}}$	${\displaystyle 8,901917\cdot {10}^{32}\mathrm{K}}$
Entropia di Planck	Entropia${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-2}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle S_{\text{P}}=\frac{E_{\text{P}}}{{\mathrm{\Theta }}_{\text{P}}}=k_{\text{B}}}$		${\displaystyle 1,380649\cdot {10}^{-23}\frac{\mathrm{J}}{\mathrm{K}}}$
Entropia di Planck in 2 π	Entropia${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-2}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle {S_{2\pi }}_{\text{P}}=\frac{E_{\text{P}}}{2\pi {\mathrm{\Theta }}_{\text{P}}}=\frac{k_{\text{B}}}{2\pi }}$		${\displaystyle 2,197371\cdot {10}^{-24}\frac{\mathrm{J}}{\mathrm{K}}}$
Coefficiente di dilatazione termica di Planck	Coefficiente di dilatazione termica${\displaystyle {\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle {{\alpha }_{{}_V}}_{\text{P}}=\frac{1}{{\mathrm{\Theta }}_{\text{P}}}=\frac{k_{\text{B}}}{E_{\text{P}}}=\sqrt{\frac{4\pi G{k_{\text{B}}}^2}{\hslash c^5}}}$	${\displaystyle {{\alpha }_{{}_V}}_{\text{P}}=\frac{1}{{\mathrm{\Theta }}_{\text{P}}}=\frac{k_{\text{B}}}{E_{\text{P}}}=\sqrt{\frac{G{k_{\text{B}}}^2}{\hslash c^5}}}$	${\displaystyle 2,502080\cdot {10}^{-33}\frac{1}{\mathrm{K}}}$	${\displaystyle 7,058238\cdot {10}^{-33}\frac{1}{\mathrm{K}}}$
Capacità termica di Planck	Capacità termica -Entropia${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-2}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle C_{\text{P}}^{\mathrm{\Theta }}=\frac{E_{\text{P}}}{{\mathrm{\Theta }}_{\text{P}}}=k_{\text{B}}}$		${\displaystyle 1,380649\cdot {10}^{-23}\frac{\mathrm{J}}{\mathrm{K}}}$
Calore specifico di Planck	Calore specifico${\displaystyle {\left[L\right]}^2{\left[T\right]}^{-2}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle {c_p}_{\text{P}}=\frac{E_{\text{P}}}{m_{\text{P}}{\mathrm{\Theta }}_{\text{P}}}=\frac{k_{\text{B}}}{m_{\text{P}}}=\sqrt{\frac{4\pi G{k}_{\text{B}}^2}{\hslash c}}}$	${\displaystyle {c_p}_{\text{P}}=\frac{E_{\text{P}}}{m_{\text{P}}{\mathrm{\Theta }}_{\text{P}}}=\frac{k_{\text{B}}}{m_{\text{P}}}=\sqrt{\frac{G{k}_{\text{B}}^2}{\hslash c}}}$	${\displaystyle 2,24876\cdot {10}^{-15}\frac{\mathrm{J}}{kg\cdot \mathrm{K}}}$	${\displaystyle 6,34363\cdot {10}^{-16}\frac{\mathrm{J}}{kg\cdot \mathrm{K}}}$
Calore volumetrico di Planck	Calore volumetrico${\displaystyle {\left[L\right]}^{-1}\left[M\right]{\left[T\right]}^{-2}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle {c_V}_{\text{P}}=\frac{E_{\text{P}}}{l_{\text{P}}^3{\mathrm{\Theta }}_{\text{P}}}=\frac{k_{\text{B}}}{l_{\text{P}}^3}=\sqrt{\frac{c^9{k}_{\text{B}}^2}{64{\pi }^3{\hslash }^3{G}^3}}}$	${\displaystyle {c_V}_{\text{P}}=\frac{E_{\text{P}}}{l_{\text{P}}^3{\mathrm{\Theta }}_{\text{P}}}=\frac{k_{\text{B}}}{l_{\text{P}}^3}=\sqrt{\frac{c^9{k}_{\text{B}}^2}{{\hslash }^3{G}^3}}}$	${\displaystyle 7,340723\cdot {10}^{79}\frac{\mathrm{J}}{m^3\cdot \mathrm{K}}}$	${\displaystyle 3,270044\cdot {10}^{81}\frac{\mathrm{J}}{m^3\cdot \mathrm{K}}}$
Resistenza termica di Planck	Resistenza termica${\displaystyle {\left[L\right]}^{-2}{\left[M\right]}^{-1}{\left[T\right]}^3\left[\mathrm{\Theta }\right]}$	${\displaystyle {{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}=\frac{{\mathrm{\Theta }}_{\text{P}}}{P_{\text{P}}}=\frac{t_{\text{P}}}{k_{\text{B}}}=\sqrt{\frac{4\pi \hslash G}{c^5{k}_{\text{B}}^2}}}$	${\displaystyle {{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}=\frac{{\mathrm{\Theta }}_{\text{P}}}{P_{\text{P}}}=\frac{t_{\text{P}}}{k_{\text{B}}}=\sqrt{\frac{\hslash G}{c^5{k}_{\text{B}}^2}}}$	${\displaystyle 1,384238\cdot {10}^{-20}\frac{\mathrm{K}}{\mathrm{W}}}$	${\displaystyle 3,904864\cdot {10}^{-21}\frac{\mathrm{K}}{\mathrm{W}}}$
Conduttanza termica di Planck	Conduttanza termica${\displaystyle {\left[L\right]}^2\left[M\right]{\left[T\right]}^{-3}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle {G_{\mathrm{\Theta }}}_{\text{P}}=\frac{k_{\text{B}}}{t_{\text{P}}}=\sqrt{\frac{c^5{k}_{\text{B}}^2}{4\pi \hslash G}}\simeq {\mathbf{A}}_{\text{P}}\frac{2\pi }{\sqrt{\alpha }}}$	${\displaystyle {G_{\mathrm{\Theta }}}_{\text{P}}=\frac{1}{{{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}}=\frac{k_{\text{B}}}{t_{\text{P}}}=\sqrt{\frac{c^5{k}_{\text{B}}^2}{\hslash G}}}$	${\displaystyle 7,224190\cdot {10}^{19}\frac{\mathrm{W}}{\mathrm{K}}}$	${\displaystyle 2,560909\cdot {10}^{20}\frac{\mathrm{W}}{\mathrm{K}}}$
Resistività termica di Planck	Resistività termica ${\displaystyle {\left[L\right]}^{-1}{\left[M\right]}^{-1}{\left[T\right]}^3\left[\mathrm{\Theta }\right]}$	${\displaystyle \frac{1}{{{\lambda }_{\mathrm{\Theta }}}_{\text{P}}}={{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}{l}_{\text{P}}=\frac{l_{\text{P}}{t}_{\text{P}}}{k_{\text{B}}}=\sqrt{\frac{16{\pi }^2{\hslash }^2{G}^2}{c^8{k}_{\text{B}}^2}}}$	${\displaystyle \frac{1}{{{\lambda }_{\mathrm{\Theta }}}_{\text{P}}}={{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}{l}_{\text{P}}=\frac{l_{\text{P}}{t}_{\text{P}}}{k_{\text{B}}}=\sqrt{\frac{{\hslash }^2{G}^2}{c^8{k}_{\text{B}}^2}}}$	${\displaystyle 7,930958\cdot {10}^{-55}\frac{m\cdot \mathrm{K}}{\mathrm{W}}}$	${\displaystyle 6,311256\cdot {10}^{-56}\frac{m\cdot \mathrm{K}}{\mathrm{W}}}$
Conducibilità termica di Planck	Conducibilità termica ${\displaystyle \left[L\right]\left[M\right]{\left[T\right]}^{-3}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle {{\lambda }_{\mathrm{\Theta }}}_{\text{P}}=\frac{P_{\text{P}}}{l_{\text{P}}{\mathrm{\Theta }}_{\text{P}}}=\sqrt{\frac{c^8{k}_{\text{B}}^2}{16{\pi }^2{\hslash }^2{G}^2}}\simeq {\mathbf{B}}_{\text{P}}\frac{2\pi }{\sqrt{\alpha }}}$	${\displaystyle {{\lambda }_{\mathrm{\Theta }}}_{\text{P}}=\frac{P_{\text{P}}}{l_{\text{P}}{\mathrm{\Theta }}_{\text{P}}}=\sqrt{\frac{c^8{k}_{\text{B}}^2}{{\hslash }^2{G}^2}}\simeq {\mathbf{B}}_{\text{P}}\frac{2\pi }{\sqrt{\alpha }}}$	${\displaystyle 1,260881\cdot {10}^{54}\frac{\mathrm{W}}{m\cdot \mathrm{K}}}$	${\displaystyle 1,584471\cdot {10}^{55}\frac{\mathrm{W}}{m\cdot \mathrm{K}}}$
Isolatore termico di Planck	Isolatore termico${\displaystyle {\left[M\right]}^{-1}{\left[T\right]}^3\left[\mathrm{\Theta }\right]}$	${\displaystyle \frac{l_{\text{P}}}{{{\lambda }_{\mathrm{\Theta }}}_{\text{P}}}={{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}{l}_{\text{P}}^2=\sqrt{\frac{64{\pi }^3{\hslash }^3{G}^3}{c^{11}{k}_{\text{B}}^2}}}$	${\displaystyle \frac{l_{\text{P}}}{{{\lambda }_{\mathrm{\Theta }}}_{\text{P}}}={{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}{l}_{\text{P}}^2=\sqrt{\frac{{\hslash }^3{G}^3}{c^{11}{k}_{\text{B}}^2}}}$	${\displaystyle 4,54402\cdot {10}^{-89}\frac{m^2\cdot \mathrm{K}}{\mathrm{W}}}$	${\displaystyle 1,02006\cdot {10}^{-90}\frac{m^2\cdot \mathrm{K}}{\mathrm{W}}}$
Trasmittanza termica di Planck	Trasmittanza termica${\displaystyle \left[M\right]{\left[T\right]}^{-3}{\left[\mathrm{\Theta }\right]}^{-1}}$	${\displaystyle \frac{{{\lambda }_{\mathrm{\Theta }}}_{\text{P}}}{l_{\text{P}}}=\frac{1}{{{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}{l}_{\text{P}}^2}=\sqrt{\frac{c^{11}{k}_{\text{B}}^2}{64{\pi }^3{\hslash }^3{G}^3}}}$	${\displaystyle \frac{{{\lambda }_{\mathrm{\Theta }}}_{\text{P}}}{l_{\text{P}}}=\frac{1}{{{\mathrm{\Omega }}_{\mathrm{\Theta }}}_{\text{P}}{l}_{\text{P}}^2}=\sqrt{\frac{c^{11}{k}_{\text{B}}^2}{64{\pi }^3{\hslash }^3{G}^3}}}$	${\displaystyle 2,200693\cdot {10}^{88}\frac{\mathrm{W}}{m^2\cdot \mathrm{K}}}$	${\displaystyle 9,803346\cdot {10}^{89}\frac{\mathrm{W}}{m^2\cdot \mathrm{K}}}$
Flusso termico di Planck	Intensità luminosa${\displaystyle \left[M\right]{\left[T\right]}^{-3}}$	${\displaystyle {{\varphi }_q}_{\text{P}}={{\lambda }_{\mathrm{\Theta }}}_{\text{P}}{\mathrm{\Theta }}_{\text{P}}=i_{\text{P}}=\frac{P_{\text{P}}}{l_{\text{P}}^2}=\frac{c^8}{16{\pi }^2\hslash G^2}}$	${\displaystyle {{\varphi }_q}_{\text{P}}={{\lambda }_{\mathrm{\Theta }}}_{\text{P}}{\mathrm{\Theta }}_{\text{P}}=i_{\text{P}}=\frac{P_{\text{P}}}{l_{\text{P}}^2}=\frac{c^8}{\hslash G^2}}$	${\displaystyle 8,795455\cdot {10}^{119}\frac{\mathrm{W}}{m^2}}$	${\displaystyle 1,388923\cdot {10}^{122}\frac{\mathrm{W}}{m^2}}$
Località di Planck	Seconda radiazione di costante${\displaystyle \left[L\right]\left[\mathrm{\Theta }\right]}$	${\displaystyle C_{2_{\text{P}}}={\mathrm{\Theta }}_{\text{P}}{l}_{\text{P}}=\frac{C_2}{2\pi }=\frac{hc}{2\pi k_{\text{B}}}=\frac{E_{\text{P}}{l}_{\text{P}}}{k_{\text{B}}}}$		${\displaystyle 0,002289885\mathrm{K}\cdot m}$
Località di Planck con costante di struttura fine	Seconda radiazione di costante${\displaystyle \left[L\right]\left[\mathrm{\Theta }\right]}$	${\displaystyle C_{{\alpha }_{\text{P}}}=\frac{2\pi {\mathrm{\Theta }}_{\text{P}}{l}_{\text{P}}}{\sqrt{\alpha }}=\frac{C_2}{\sqrt{\alpha }}=\frac{hc}{\sqrt{\alpha }{k}_{\text{B}}}=\frac{2\pi E_{\text{P}}{l}_{\text{P}}}{\sqrt{\alpha }{k}_{\text{B}}}\simeq q_{\text{P}}{c}^2}$		${\displaystyle 0,168427\mathrm{K}\cdot m}$
Costante di Stefan-Boltzmann di Planck	Costante di proporzionalità${\displaystyle \left[M\right]{\left[T\right]}^{-3}{\left[\mathrm{\Theta }\right]}^{-4}}$	${\displaystyle {\sigma }_{{}_{\sigma }\text{P}}=\frac{P_{\text{P}}}{l_{\text{P}}^2{\mathrm{\Theta }}_{\text{P}}^4}=\frac{k_{\text{B}}^4}{{\hslash }^3{c}^2}=\frac{16{\pi }^4\hslash c^2}{C_2^4}}$		${\displaystyle 3,447174\cdot {10}^{-7}\frac{\mathrm{W}}{m^2\cdot {\mathrm{K}}^4}}$
Proprietà radioattive
Attività specifica di Planck	Attività specifica${\displaystyle {\left[T\right]}^{-1}}$	${\displaystyle \frac{1}{t_{\text{P}}}=\sqrt{\frac{c^5}{4\pi \hslash G}}}$	${\displaystyle \frac{1}{t_{\text{P}}}=\sqrt{\frac{c^5}{\hslash G}}}$	${\displaystyle 5,232458\cdot {10}^{42}\mathrm{B}\mathrm{q}}$	${\displaystyle 1,854858\cdot {10}^{43}\mathrm{B}\mathrm{q}}$
Esposizione radioattiva di Planck	Radiazioni ionizzanti${\displaystyle {\left[M\right]}^{-1}\left[Q\right]}$	${\displaystyle q_{r_{\text{s}}}=\frac{q_{\text{P}}}{m_{\text{P}}}=\sqrt{\frac{2\pi r_{\text{s}}}{{\mu }_0}}=\sqrt{\frac{G}{k_e}}=\sqrt{4\pi {\epsilon }_{0}G}}$		${\displaystyle 8,617518\cdot {10}^{-11}\frac{\mathrm{C}}{kg}}$
Potenziale gravitazionale di Planck	calorie specifiche${\displaystyle {\left[L\right]}^2{\left[T\right]}^{-2}}$	${\displaystyle {{\mathrm{\Phi }}_{{}_G}}_{\text{P}}=\frac{E_{\text{P}}}{m_{\text{P}}}=c^2}$		${\displaystyle \mathrm{89.875.517.873.681.764}\frac{\mathrm{J}}{kg}}$
Dose assorbita di Planck	Dose assorbita${\displaystyle {\left[L\right]}^2{\left[T\right]}^{-2}}$	${\displaystyle {{\mathrm{\Phi }}_{{}_G}}_{\text{P}}=\frac{E_{\text{P}}}{m_{\text{P}}}=c^2}$		${\displaystyle 8,987552\cdot {10}^{16}\mathrm{G}\mathrm{y}}$
Velocità di dose assorbita di Planck	Velocità didose assorbita${\displaystyle {\left[L\right]}^2{\left[T\right]}^{-3}}$	${\displaystyle \frac{{{\mathrm{\Phi }}_{{}_G}}_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{c^9}{4\pi \hslash G}}}$	${\displaystyle \frac{{{\mathrm{\Phi }}_{{}_G}}_{\text{P}}}{t_{\text{P}}}=\sqrt{\frac{c^9}{\hslash G}}}$	${\displaystyle 4,702700\cdot {10}^{59}\frac{\mathrm{G}\mathrm{y}}{s}}$	${\displaystyle 1,667064\cdot {10}^{60}\frac{\mathrm{G}\mathrm{y}}{s}}$
Proprietà dei buchi neri
Massa lineare di Planck	Massa lineare ${\displaystyle \left[M\right]{\left[L\right]}^{-1}}$	${\displaystyle {l_r}_{\text{s}}^{-1}=\frac{m_{\text{P}}}{l_{\text{P}}}=\frac{2}{4\pi r_s}=\frac{c^2}{4\pi G}}$	${\displaystyle {l_r}_{\text{s}}^{-1}=\frac{m_{\text{P}}}{l_{\text{P}}}=\frac{2}{r_s}=\frac{c^2}{G}}$	${\displaystyle 1,071583\cdot {10}^{26}\frac{kg}{m}}$	${\displaystyle 1,346591\cdot {10}^{27}\frac{kg}{m}}$
Impedenza meccanica di Planck	Impedenza meccanica${\displaystyle \left[M\right]{\left[T\right]}^{-1}}$	${\displaystyle {t_r}_{\text{s}}^{-1}=\frac{m_{\text{P}}}{t_{\text{P}}}=\frac{2c}{4\pi r_s}=\frac{c^3}{4\pi G}}$	${\displaystyle {t_r}_{\text{s}}^{-1}=\frac{m_{\text{P}}}{l_{\text{P}}}=\frac{2c}{r_s}=\frac{c^3}{G}}$	${\displaystyle 3,212525\cdot {10}^{34}\frac{kg}{s}}$	${\displaystyle 4,036978\cdot {10}^{35}\frac{kg}{s}}$
Gravità di superficie	Gravità di superficie ${\displaystyle \left[L\right]\left[M\right]{\left[T\right]}^{-2}}$	${\displaystyle {a_r}_{\text{s}}\equiv \frac{1}{4M}\equiv \frac{F_{\text{P}}}{{m_r}_{\text{s}}}=\frac{m_{\text{P}}c}{t_{\text{P}}}=\frac{c^4}{4\pi G}}$	${\displaystyle {a_r}_{\text{s}}\equiv \frac{1}{4M}\equiv \frac{F_{\text{P}}}{{m_r}_{\text{s}}}=\frac{m_{\text{P}}c}{t_{\text{P}}}=\frac{c^4}{G}}$	${\displaystyle 9,630908\cdot {10}^{42}\frac{kg\cdot m}{s^2}}$	${\displaystyle 1,210256\cdot {10}^{44}\frac{kg\cdot m}{s^2}}$
Costante di accoppiamento di Planck	Teoria dell'informazione (adimensionale)	${\displaystyle {{\alpha }_G}_{\text{P}}={m_r}_{\text{s}}^2={\left(\frac{m_{\text{P}}}{m_{\text{P}}}\right)}^2=\frac{4\pi G{m}_{\text{P}}^2}{\hslash c}}$	${\displaystyle {{\alpha }_G}_{\text{P}}={m_r}_{\text{s}}^2={\left(\frac{m_{\text{P}}}{m_{\text{P}}}\right)}^2=\frac{G{m}_{\text{P}}^2}{\hslash c}}$	1	1
Limite di Bekenstein di Planck[6][7][8]	Teoria dell'informazione (adimensionale)	${\displaystyle {I_{{}_{bits}}}_{\text{P}}\le \frac{2\pi {{\alpha }_G}_{\text{P}}}{\log [2]}=\frac{2\pi l_{\text{P}}{E}_{\text{P}}}{\hslash c}}$		${\displaystyle 9,064720\dots \mathrm{b}\mathrm{i}\mathrm{t}\mathrm{s}}$${\displaystyle \approx 2^{3,18}}$ ${\displaystyle \approx 1,133\mathrm{b}\mathrm{y}\mathrm{t}\mathrm{e}\mathrm{s}}$
Rapporto massa-massa di Planck	Teoria dell'informazione (adimensionale)	${\displaystyle {m_r}_{\text{s}}=\frac{m_{\text{P}}}{m_{\text{P}}}}$		${\displaystyle 1}$
Unità di Planck	Unita di Planck (adimensionale)	${\displaystyle \sqrt{{{\alpha }_G}_{\text{P}}}={m_r}_{\text{s}}=\frac{m_{\text{P}}}{m_{\text{P}}}}$	${\displaystyle \sqrt{{{\alpha }_G}_{\text{P}}}={m_r}_{\text{s}}=\frac{m_{\text{P}}}{m_{\text{P}}}}$	${\displaystyle 1}$	${\displaystyle 1}$