In Voltaire’s “Elémens de la Theorie de Newton“ (1738)

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Presentation transcript:

In Voltaire’s “Elémens de la Theorie de Newton“ (1738)

Fraunhofer Absorption Lines in the Sun’s Spectrum Na D lines Orange street lamps contain sodium

Emission Spectra from Nebulae

Photon from local star

photoionisation

recombination

Energy Levels E(n) = - R/n2

Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1)

Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = 109678 cm-1

Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = 109678 cm-1 For n= -1  emission lines

Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = 109678 cm-1 For n= -1  emission lines n2 = n+1 n1 = n

Energy Levels E(n) = - R/n2 F(n) = - R/n2 (in cm-1) R = 109678 cm-1 For n= -1  emission lines n2 = n+1 n1 = n Transition Frequencies F(n1) = - R[ 1/n22 – 1/n12]

http://www.kolumbus.fi/michael.fletcher/lasers.htm

Bohr radius

Bohr radius an = a1n2

Bohr radius an = a1n2 a1 ~ 0.5 Å

Bohr radius an = a1n2 a1 ~ 0.5 Å a1 = 0.529 Å

Bohr radius an = a1n2 a1 ~ 0.5 Å a1 = 0.529 Å (Å = 10-8 cm)

a2 ~ 0.5 x4 Å = 2 Å

a3 ~ 0.5 x 9 Å = 4.5 Å

a3 ~ 0.5 x 16 Å = 8 Å