Honors Chemistry
Review Guide for Wave Equations and Electron Configuration
Wave Equations
Constants:
c = 3.00x 108 m/sec = 3.00 x 1017 nm/sec (speed of EMR)
h = 6.63 x 10-34 J/Hz (Panck’s constant)
Remember:
To convert from m to nm: X nm /sec = 1.00 x 109 nm x 3.00 x 108 m/sec = 3.00 x 1017 nm/sec
1m
or
To convert from nm to m: X m /sec =
If Asked to Find:
Given:
 (wavelength)
(frequency)
1m
x 3.00 x 1017 nm/sec = 3.00 x 108 m/sec
9
1.00 x 10 nm
Use Equation:
 = c/
Example:

What is the wavelength (nm) of a photon of EMR that
has a frequency of 1.23 x 1014 Hz?
X nm = 3.00 x 1017 nm/sec = 2.44 x 103 nm
1.23 x 1014 Hz
(frequency)
 (wavelength)
 = c/
What is the frequency (Hz) of a photon of EMR that has
a wavelength of 554 nm?
X Hz = 3.00 x 1017 nm/sec = 5.42 x 1014 Hz
554 nm
E (energy)
(frequency)
E=h
What is the energy (J) of a photon of EMR that has a
frequency of 3.21 x 1015 Hz?
X J = (6.63 x 10-34 J/Hz)(3.21 x 1015 Hz) = 2.13 x 10-18 J
(frequency)
E (energy)
E / h
What is the frequency (Hz) of a photon of EMR that has
an energy of 4.32 x 10-19 J?
X Hz = 4.32 x 10-19 J / 6.63 x 10-34 J/Hz = 6.52 x 1014 Hz
E (energy)
 (wavelength)
E = h c/ 
What is the energy (J) of a photon of EMR that has a
wavelength of 465 nm?
X J = (6.63 x 10-34 J/Hz)(3.00 x 1017 nm/sec) = 4.27 x 10-19 J
465 nm
 (wavelength)
E (energy)
 = h c/ E
What is the wavelength (nm) of a photon of EMR that
has an energy of 5.25 x 10-20 J?
X nm = (6.63 x 10-34 J/Hz)(3.00 x 1017 nm/sec) = 3.79 x 103 nm
5.25 x 10-20 J
1. Calculate the following…
a. The frequency of light of 510.0 nm.
b. The wavelength of light with a frequency of 1.5 x1013 Hz. Is this wavelength longer or shorter
than that of red light (700 nm)?
c. The frequency of radiation with a wavelength of 5.0x10-8 m. Where is this on the
electromagnetic spectrum (i.e., what kind of radiation is it)?
d. The wavelength of light of 6.0x104 Hz.
e. The frequency of gamma rays with a wavelength of 5.0x10-13 m.
2. Calculate the frequency of a photon of light that has a wavelength equal to:
a. 486 nm
b. 7.50x10-5 cm
c. 6200 Å
3. Find….
a. The energy of light of 0.0012 Hz.
b. The energy associated with purple light of 385 nm.
c. The energy associated with UV waves of 3.00x1016 Hz.
d. The energy associated with X-rays of 3.00x1018 Hz.
e. The energy associated with gamma rays of 3.00x1020 Hz.
f. The energy of light of 15.0 cm.
4.
What is a quantum?
5. What are photons?
6. Briefly, what is the photoelectric effect?
7. What is meant by light having a “dual nature”. Give examples of each.
8. What is the relationship between energy and the wavelength of light?
9. Find the following:
a. The energy associated with radio waves of 80.0 m.
b. The energy associated with infrared waves of 0.0000112 m.
c. The energy associated with red light of 650 nm.
d. The energy associated with blue light of 465 nm.