- #1

Niles

- 1,868

- 0

## 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?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Niles
- Start date

- #1

Niles

- 1,868

- 0

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

Staff Emeritus

Science Advisor

Homework Helper

Education Advisor

- 15,563

- 2,204

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

Rajini

- 619

- 2

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

- #4

Niles

- 1,868

- 0

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

Share:

- Last Post

- Replies
- 3

- Views
- 853

- Replies
- 1

- Views
- 4K

- Last Post

- Replies
- 0

- Views
- 4K

- Last Post

- Replies
- 15

- Views
- 956

- Last Post

- Replies
- 0

- Views
- 7K

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 9

- Views
- 4K

- Last Post

- Replies
- 2

- Views
- 602

- Replies
- 0

- Views
- 2K

- Replies
- 0

- Views
- 3K