# User:Jason O Archer/Notebook/PHYC 307L Junior Lab/2008/11/16

PHYC 307L Junior Lab | <html><img src="/images/9/94/Report.png" border="0" /></html> Main project page <html><img src="/images/c/c3/Resultset_previous.png" border="0" /></html>Previous entry<html> </html> | |||||||||||||||||||||||||||||||||

## Balmer Series Lab 11/16/08## Data AnalysisThe exponential calibration curve we obtained from Excel is as follows: λ' = 400 + 1.0667*(λ - 400) - λ' = actual wavelength
- λ = measured wavelength
(This curve had an R Note: The shifts of 400 came from an attempt to get the best possible fit for the exponential curve by having a starting point close to the origin. From this curve, we can calculate the wavelengths measured for regular hydrogen and deuterium to be as follows:
From the equation λ - λ = spectral line wavelength,
- R = Rydberg constant,
- n = integer greater than 2
we can make calculations for the Rydberg constant. From calculation in Excel, we obtain the following eight values (in 1/m):
The average value we calculate is 10964446.07 ± 7548.89 1/m. (mean ± SEM). Since the official value is given as 10967758 1/m, we calculate the percent error to be an astonishingly low 0.0302%. The Rydberg constant for hyrdogen is 10967758 1/m, as we are given. The Rydberg constant for deuterium, by the formula R = μe - μ = reduced mass of the nucleus
- e = elementary charge
- ε
_{0}= electrical constant - c = speed of light
- h =- Planck's constant
we can calculate R to be 11055173 1/m for deuterium; this is a low 0.7970% difference. |