Optical Spectroscopy of Hydrogenic Atoms: Calibration against Mecury - - PowerPoint PPT Presentation

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Optical Spectroscopy of Hydrogenic Atoms: Calibration against Mecury - - PowerPoint PPT Presentation

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Optical Spectroscopy of Hydrogenic Atoms: Calibration against Mecury and the Balmer Series of Hydrogen Isotopes Jason Gross MIT - Department of Physics Jason Gross (8.13) Optical Spectroscopy November 18, 2011 1 / 11 Goals test the

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SLIDE 1

Optical Spectroscopy of Hydrogenic Atoms: Calibration against Mecury and the Balmer Series

  • f Hydrogen Isotopes

Jason Gross

MIT - Department of Physics

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 1 / 11

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SLIDE 2

Goals

test the Balmer-Bohr formula: 1 λ = RH 1 n2

f

− 1 n2

i

  • determine the value of the Rydberg constant

RH = R∞ 1 + me/M determine the hydrogen-deuterium mass-ratio

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 2 / 11

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SLIDE 3

Goals

test the Balmer-Bohr formula: 1 λ = RH 1 n2

f

− 1 n2

i

  • determine the value of the Rydberg constant

RH = R∞ 1 + me/M determine the hydrogen-deuterium mass-ratio

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 2 / 11

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SLIDE 4

Goals

test the Balmer-Bohr formula: 1 λ = RH 1 n2

f

− 1 n2

i

  • determine the value of the Rydberg constant

RH = R∞ 1 + me/M determine the hydrogen-deuterium mass-ratio

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 2 / 11

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SLIDE 5

Bohr Model

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 3 / 11

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SLIDE 6

Balmer Series

6561.12

4860.09

4339.37

4.103

  • 4. 103
  • 4. 103
  • 4. 103
  • 4. 103
  • 4. 103
  • 4. 103
  • 4. 103
  • 4. 103
4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.103 4.10 3 4.103 4.103 4.10 3

n 1; E 13.6057 eV n 2; E 3.40142 eV n 3; E 1.51174 eV

12 10 8 6 4 2 E eV

Hydrogen Energy Level Diagram

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 4 / 11

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SLIDE 7

Experimental Setup

Light Source PMT Grating Spherical Mirrors

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 5 / 11

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SLIDE 8

Mercury Spectrum

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 6 / 11

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SLIDE 9

Hydrogen Peak

ΧΝ

2 1.9

ΜD 3883.8244 0.0003 ΜH 3885.0185 0.0004

Residuals

3883.5 3884.0 3884.5 3885.0 3885.5 Λ 1000 2000 3000 4000 5000 Counts

Deuterium Balmer Plot Uncorrected Λ

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 7 / 11

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SLIDE 10

Rydberg Constant

Book Value: 0.00109737 −1

ΧΝ

2 7.3108

RH 0.0010997 8.107

Residuals

4 6 8 10 n 4000 5000 6000 7000 8000 Λ

Balmer Series for Hydrogen

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 8 / 11

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SLIDE 11

Rydberg Constant

ΧΝ

2 7.8108

RD 0.0011000 8.107

Residuals

4 6 8 10 n 4000 5000 6000 7000 8000 Λ

Balmer Series for Deuterium

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 9 / 11

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SLIDE 12

Mass Ratio

Book Value:

1+me/MD 1+me/MH = 0.999724

Our Value:

1+me/MD 1+me/MH = 0.9997 ± 0.0010

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 10 / 11

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SLIDE 13

Thank You Any questions?

Jason Gross (8.13) Optical Spectroscopy November 18, 2011 11 / 11