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## Homework Statement

Hi

If I have a Lorentzian distribution given by

[tex]

f(x) = \frac{\Gamma}{x^2+\Gamma^2},

[/tex]

then is Γ the FWHM?

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- Thread starter Niles
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- #1

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Hi

If I have a Lorentzian distribution given by

[tex]

f(x) = \frac{\Gamma}{x^2+\Gamma^2},

[/tex]

then is Γ the FWHM?

- #2

vela

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Science Advisor

Homework Helper

Education Advisor

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Not quite. Just set f(x) to half its maximum value and solve for x. You'll get two solutions. Their difference is the full width at half maximum.## Homework Statement

Hi

If I have a Lorentzian distribution given by

[tex]

f(x) = \frac{\Gamma}{x^2+\Gamma^2},

[/tex]

then is Γ the FWHM?

- #3

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In your case [tex]\Gamma[/tex] is half width at half maximum. And height of Lorentzian is [tex]1/\Gamma[/tex] Correct?

- #4

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Yes, I agree - because I get 2Γ to be FWHM. And I also agree on the height.

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