Emission Spectrum Lab PSI Chemistry Name _________________ Purpose Use the Bragg equation to determine the wavelength of light of various spectral lines produced by the hydrogen atom and correlate these to the specific transitions undergone within the atom. Materials • • • • gas discharge box hydrogen gas spectral tube 2 meter sticks diffraction grating glasses or tube Procedure 1. Arrange the meters sticks perpendicular to each other on the lab bench with the discharge box containing the hydrogen spectral tube immediately behind the horizontal meter stick with the tube positioned at the 50 cm mark. (see diagram below) gas discharge box and tube--> diffraction grating --> 2. With spectral tube on, observe through red spectral line closest to the 3. Communicating with your lab partner, the meter stick and measure the position from the center (50 cm) mark. the diffraction grating and locate the discharge tube. locate the position of this red line on distance along the meter stick to that Analysis www.njctl.org Chemistry Atomic Structure 1. The Bragg equation can be used to determine the wavelength of the red spectral line. d sin θ = m λ where d = distance between slits θ = angle of viewing the line (see diagram below) m = order of maximum (1 for this experiment Spectral Line Discharge box A B θ Observer 2. Sin θ is measured by first determining the hypotenuse using pythagorean theorem. The opposite distance is determined by the distance of the spectral line from the discharge box while the adjacent distance is the length of the meter stick plus a centimeter or two to the discharge box. Next, divide the opposite distance over the hypotenuse to find Sin θ. 3. Record the values in the table below and find the wavelength of the spectral line. Distance to spectral line(A) Distance to discharge box from observer(B) Calculated Hypotenuse Calculated Sin θ Wavelength (in nm) 4. The actual wavelength of the red spectral line produced by the hydrogen atom is 656 nm. What is your % error for this experiment? 5. Is this spectral line being produced from the 4-->2 transition or the 3-->2 transition? Show all calculations. www.njctl.org Chemistry Atomic Structure 6. Would a transition from the 5-->2 produce light with a longer or shorter wavelength than that produced in the red spectral line? Explain. Teacher Guide and Helpful Tips - Have students make measurements in low light to make it easy to see spectral lines - The common diffraction grating available at most high schools contains roughly 15000 lines per inch. This translates to a “d” value of 1.693 x 10-6 meters between lines. - Make sure to make clear to the students that they should be looking at the 1st set of lines from the spectral tube. - One can look at any spectral line you desire - sometimes the blue-green line is more vivid and easier to see and use. - Sample data can be found below: Distance to spectral line(A) 42.1 cm www.njctl.org Distance to discharge box from observer(B) 101.2 cm Calculated Hypotenuse 109.6 cm Chemistry Calculated Sin 0.384 θ Wavelength (in nm) 650 nm Atomic Structure