Emission Spectroscopy: Lab #14 - Calibrating a Spectrometer and Identifying Unknowns, Lecture notes of Chemistry

Instructions for a lab experiment on emission spectroscopy, focusing on calibrating a spectrometer using the He spectrum and identifying unknown gases and salts based on their emission spectra. The Bohr equation is used to calculate the frequency and wavelength of emitted light, and the Rydberg constant is determined experimentally.

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Lab #14
EMISSION SPECTROSCOPY
INTRODUCTION:
The emission spectrum is the set of light frequencies emitted by substances after they
have been excited with various forms of energy, most commonly heat or electrical. Since the
frequency of light emitted under these conditions depends on the energies of the excited and
ground states of electrons in the atoms, the spectrum serves as a very sensitive ā€œfingerprintā€ of
the atoms present. For example, by studying emission spectra of the stars, we can determine
their chemical composition. Also, emission spectra are used to identify poisons in food,
pesticides in the environment, and numerous substances in forensic samples.
Although emission spectroscopy has many practical uses, it is equally interesting because
it provided the first quantitative information about the energy levels in atoms, and allowed
chemists to calculate values for the allowable energies of electrons in atoms.
The Bohr equation (named after Danish physicist, Niels Bohr):
(Equation 1)
ν2
i
2
f


















n1
-
n1
)(s10 x 3.289 = )(s 1-151-
can be used to calculate the frequency of light emitted (ν
νν
ν) when an electron falls from an upper
level (ni) to a lower level (nf). The constant, 3.289 x 1015 s-1, is known as the Rydberg Constant.
For the visible lines of the hydrogen spectrum, nf is always 2, and the equation can be rearranged
to the form y = mx + b (the equation of a straight line, where m is the slope and b is the y-
intercept):
(equation 2) 410 x 3.289
+
n1
10 x 3.289- = )(s 15
151- 

















2
i
ν
A plot of ν
νν
ν vs. 1
ni
2 should give a slope equal to the Rydberg Constant (3.289 x 1015), and an
intercept equal to the Rydberg Constant divided by 4, if the electronic transitions all terminate on
the second level.
In today’s experiment we will observe emission spectra of electrically excited gases and,
if your instructor chooses, thermally excited salts. A spectroscope will be calibrated by
observing the helium spectrum. The calibrated spectroscope will be used to determine the
wavelengths of the visible light spectrum (called the Balmer Series) in the hydrogen spectrum,
and these wavelengths will be used to determine an experimental value for the Rydberg Constant.
In addition an unknown salt or gas may be identified by its spectrum.
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Lab #

EMISSION SPECTROSCOPY

INTRODUCTION:

The emission spectrum is the set of light frequencies emitted by substances after they have been excited with various forms of energy, most commonly heat or electrical. Since the frequency of light emitted under these conditions depends on the energies of the excited and ground states of electrons in the atoms, the spectrum serves as a very sensitive ā€œfingerprintā€ of the atoms present. For example, by studying emission spectra of the stars, we can determine their chemical composition. Also, emission spectra are used to identify poisons in food, pesticides in the environment, and numerous substances in forensic samples. Although emission spectroscopy has many practical uses, it is equally interesting because it provided the first quantitative information about the energy levels in atoms, and allowed chemists to calculate values for the allowable energies of electrons in atoms. The Bohr equation (named after Danish physicist, Niels Bohr):

(Equation 1) ν (^2) i

2 f

n

n

(s -^1 )=3.289x 1015 (s-^1 )

can be used to calculate the frequency of light emitted (νννν) when an electron falls from an upper level (ni ) to a lower level (nf). The constant, 3.289 x 10^15 s -1^ , is known as the Rydberg Constant. For the visible lines of the hydrogen spectrum, n (^) f is always 2, and the equation can be rearranged to the form y = mx + b (the equation of a straight line, where m is the slope and b is the y- intercept):

(equation 2) 4

3.289x 10

n

(s )=-3.289x 10

15

  • (^1 15)  

2 i

ν

A plot of νννν vs.

n (^) i^2

should give a slope equal to the Rydberg Constant (3.289 x 10^15 ), and an

intercept equal to the Rydberg Constant divided by 4, if the electronic transitions all terminate on the second level. In today’s experiment we will observe emission spectra of electrically excited gases and, if your instructor chooses, thermally excited salts. A spectroscope will be calibrated by observing the helium spectrum. The calibrated spectroscope will be used to determine the wavelengths of the visible light spectrum (called the Balmer Series) in the hydrogen spectrum, and these wavelengths will be used to determine an experimental value for the Rydberg Constant. In addition an unknown salt or gas may be identified by its spectrum.

PROCEDURE :

A) Calibration of the spectrometer with the known He spectrum.

  1. Observe the He spectrum, and note where the lines fall on the scale of the spectroscope. Record the scale readings and colors for the observed lines opposite their known wavelengths. Depending on your particular instrument, you should expect to see at least the 3 most intense lines and perhaps 4 or 5. Complete Table 1 on your data sheet.

  2. Create a calibration curve by plotting ā€œscale readingā€ vs. ā€œwavelengthā€. This curve may not be a straight line, but it should be a smooth curve.

B) Hydrogen Spectrum

  1. Observe the hydrogen spectrum and record the scale readings for the visible lines in Table 2 on your data sheet.

  2. Use your calibration curve from A) to determine the wavelengths from the scale readings. Calculate the frequencies from the wavelengths, using the appropriate formula. Add these values to Table 2 in the appropriate column.

  3. Assuming that the lowest observed frequency corresponds to an ni value of 3 and that each

succeeding frequency corresponds to ni of 4, 5 etc., plot frequency vs.

n (^) i^2

. Determine the slope

and multiply by -1. Compare this value to the expected value for the Rydberg Constant. Determine your % experimental error. Remember that % experimental error is:

Observed value - Reference value Reference value

x 100

Identity of Unknowns:

  1. Observe the spectrum of an ā€œunknownā€ gas emission tube and record the scale readings of the emission lines in Table 3 of your Data sheet. Use your calibration curve from A) to convert the scale readings to wavelengths and use the attached charts to identify the ā€œunknownā€.

  2. Observe the spectra of some salts in the following manner. Replace the emission tube with a Bunsen burner placed near the spectroscope slit. Dip a nichrome wire into some HCl and hold it in the flame until the impurities have been removed. Dip the wire into HCl again, then into a sample of ā€œunknownā€ salt. Hold the wire in the Bunsen burner flame and observe the emission spectrum and record the scale readings of the emission lines in Table 4 on your Data sheet. Use your calibration curve from A) to convert the scale readings to wavelengths and use the attached charts to identify the ā€œunknownā€.

Li Na Sr λλλλ Intensity^ λλλλ Intensity^ λλλλ Intensity

460.2 13 568.3 7 408 4600 497.1 8 569.9 14 422 3200 610.4 320 589.0 2000 461 6500 670.8 3600 589.1 1000 472 320 616.1 6 616.1 6 481 480 526 480 548 700 550 300 640 900 650 550 688 480

Lab #

EMISSION SPECTROSCOPY

Data Sheet

Name _____________________________________ Section __________ Date _____________ TABLE 1

Wavelength of Relative Line Color Scale Reading He Line Intensity

438.8 300 ___________ ____________

447.6 100 ___________ ____________

492.2 600 ___________ ____________

587.5 1000 yellow______ ____________

667.8 600 ___________ ____________

706.6 200 ___________ ____________

TABLE 2

Line Color Scale Reading

Wavelength (nm)

Frequency(sec -1) ni 1 / ni^2

__________ __________ ____________ _____________ ____ ________

__________ __________ ____________ _____________ ____ ________

__________ __________ ____________ _____________ ____ ________

__________ __________ ____________ _____________ ____ ________

TABLE 3

Unknown Gas # ___________

Line Color Scale Reading Wavelength (nm)

Lab #

EMISSION SPECTROSCOPY

Prestudy

Name __________________________________ Section _____________ Date ____________

  1. a) Calculate the frequency of light emitted when an electron moves from n = 5 to n = 2, in the hydrogen atom.

b) Convert the above frequency to wavelength, in nm.

c) Calculate the energy of the above light.

d) What color would the above light have? ________________

  1. A student performs this experiment and obtains a value of 3.02 x 10 15 s -1^ for the Rydberg Constant. Calculate the student’s % error.