An electron confined to a one-dimensional box has energy levels given by the equation En=n2h2/8mL2 where n is a quantum number with possible values of 1,2,3,…;m is the mass of the particle; and L is the length of the box. a. Calculate the energies of the n=1,n=2, and n=3 levels for an electron in a box with a length of 170 pm . b. Calculate the wavelength of light required to make a transition from n=1→n=2 and from n=2→n=3. c. In what region of the electromagnetic spectrum do these wavelengths lie? radio microwave infrared visible light ultraviolet X-ray gamma ray
Atomic Structure
The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.
Shape of the D Orbital
Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.
An electron confined to a one-dimensional box has energy levels given by the equation
En=n2h2/8mL2
where n is a quantum number with possible values of 1,2,3,…;m is the mass of the particle; and L is the length of the box.
a. Calculate the energies of the n=1,n=2, and n=3 levels for an electron in a box with a length of 170 pm .
b. Calculate the
radio |
microwave |
infrared |
visible light |
ultraviolet |
X-ray |
gamma ray |
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