00
6.62607015 ×10−34 J·s
1900-12-14
01
$$u(\nu,T)=\frac{8\pi\nu^{2}}{c^{3}}\,k_{\mathrm B}T$$
$$B_\lambda(\lambda,T)\;\propto\;\lambda^{-5}\,e^{-hc/(\lambda k_{\mathrm B}T)}$$
!
02
$$E = h\nu$$
1900-10-19
1900-12-14
1905
03
$$B_
u(
u,T)=\frac{2h
u^{3}}{c^{2}}\;\frac{1}{e^{\,h
u/(k_{\mathrm B}T)}-1}$$
$$B_\lambda(\lambda,T)=\frac{2hc^{2}}{\lambda^{5}}\;\frac{1}{e^{\,hc/(\lambda k_{\mathrm B}T)}-1}$$
$$\Rightarrow\;\frac{2\nu^{2}k_{\mathrm B}T}{c^{2}}$$
$$\Rightarrow\;\frac{2h\nu^{3}}{c^{2}}e^{-h\nu/(k_{\mathrm B}T)}$$
04
$$h \;=\; 6.62607015\times10^{-34}\;\mathrm{J\cdot s}\quad(\text{exact})$$
h
e
kB
NA
ΔνCs
Kcd
05
$$\hbar=\frac{h}{2\pi}\approx1.054571817\times10^{-34}\;\mathrm{J\cdot s}$$
1905
$E_k=h\nu-W$
1913
$E_n=-\dfrac{m_e e^4}{8\varepsilon_0^2 h^2}\dfrac{1}{n^2}$
1924
$\lambda=\dfrac{h}{p}$
1927
$\Delta x\,\Delta p\ge\dfrac{\hbar}{2}$
$\ell_P=\sqrt{\hbar G/c^3}\approx1.616\times10^{-35}\,\mathrm{m}$
$t_P=\sqrt{\hbar G/c^5}\approx5.391\times10^{-44}\,\mathrm{s}$
$m_P=\sqrt{\hbar c/G}\approx2.176\times10^{-8}\,\mathrm{kg}$
$T_P=\sqrt{\hbar c^5/(Gk_B^2)}\approx1.417\times10^{32}\,\mathrm{K}$